Answer:
9h² + 51h + 28
Step-by-step explanation:
(5h + 4)(4h + 7)
=> 9h² + 35h + 16h + 28
=> 9h² + 51h + 28
Therefore, 9h² + 51h + 28 is the simplified expression.
Hoped this helped.
Answer:
20h^2 + 51h+28
Step-by-step explanation:
We will apply the FOIL method (first, outer, inner, last)
(5h + 4)(4h + 7)
Multiply 5h by 4h, first values, to get 20h^2
Multiply 5h by 7, outer values, to get 35h
Multiply 4 by 4h, inner values, to get 16h
Multiply 4 by 7, last values, to get 28
Now we will add them all up to receive our answer
20h^2 + 35h + 16h + 28 = 20h^2 + 51h + 28
suppose that 0.4% of a given population has a particular disease. a diagnostic test returns positive with probability .99 for someone who has the disease and returns negative with probability 0.97 for someone who does not have the disease. (a) (10 points) if a person is chosen at random, the test is administered, and the person tests positive, what is the probability that this person has the disease? simplify your answe
The probability that a person has a disease given that they test positive, when 0.4% of the population has the disease and the test is positive with probability 0.99 if they have the disease and 0.03 if they don't have it, is 0.116 or about 11.6%.
Let D be the event that the person has the disease and T be the event that the person tests positive. We need to calculate P(D|T), the probability that the person has the disease given that they test positive.
Using Bayes' theorem, we have
P(D|T) = P(T|D) * P(D) / P(T)
where P(T|D) is the probability of testing positive given that the person has the disease, P(D) is the prior probability of having the disease, and P(T) is the total probability of testing positive, which can be calculated as
P(T) = P(T|D) * P(D) + P(T|D') * P(D')
where P(T|D') is the probability of testing positive given that the person does not have the disease, and P(D') is the complement of P(D), which is the probability of not having the disease.
Substituting the given values, we get
P(D|T) = (0.99 * 0.004) / [(0.99 * 0.004) + (0.03 * 0.996)]
= 0.116
Therefore, the probability that the person has the disease given that they test positive is 0.116 or about 11.6%.
To know more about Probability:
https://brainly.com/question/11234923
#SPJ4
A plumber has a 2.5 metre long copper wire. he needs to cut lengths of 60cm, 35cm and 90cm work out how much of the initial 2.5 metre long pipe is left. give your answer in cm
By the concept of measurement of length we get the remaining length of the pipe 65 cm.
The total length of pipe before it was used by the plumber was 2.5 metre = (2.5 x 100)cm = 250cm.
Since,the plumber needs to cut lengths of 60cm, 35cm and 90cm
Thus,total Length of the pipe cut by the plumber = 60cm + 35cm + 90cm = 185cm
After subtracting the length of pipe used by the plumber from the original length of the pipe, we get,
The remaining length of the pipe = 250 - 185 = 65cm
Hence, the remaining length of the pipe is 65 cm.
To know more about measurement of length visit:
https://brainly.com/question/2364956
#SPJ4
7. What is the volume in centimeters of the rectangular prism bel
W
a. 12 cm³
b. 15 cm³
c. 20 cm³
d. 60 cm³
Answer:
The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.
The rectangular prism in question has the following dimensions:
Length (l) = 3 cm
Width (w) = 5 cm
Height (h) = 4 cm
Using the formula for volume, we get:
V = l x w x h
= 3 cm x 5 cm x 4 cm
= 60 cm³
Therefore, the volume of the rectangular prism is 60 cm³.
The answer is (d) 60 cm³.
I Hope This Helps!
This question makes an important point: the maximum point of a function may not always be found by solving f'(x) = 0 Remember: functions can have their minimum or maximum at an endpoint of their domain, at a point of non-differentiability (think of the absolute value function, which has its minimum point at zero) or may not even have a maximum or minimum. This means that the most thorough way of solving optimization problems involves sketching the objective function. (For questions that appear on tests, however, the optimum will usually occur at a relative max. or relative min. that can be found by solving f'(x) = 0.) Two parts of this question are multiple choice: you only get one submission attempt for those two parts. A peach orchard owner wants to maximize the amount of peaches produced by his orchard. He has found that the per-tree yield is equal to 900 whenever he plants 30 or fewer trees per acre, and that when more than 30 trees are planted per acre, the per-tree yield decreases by 40 peaches per tree for every extra tree planted. For example, if there were 25 trees planted per acre, each tree would produce 900 peaches. If there were 35 trees planted per acre, each tree would produce 900 - 40 (35 - 30) peaches, which is roughly equal to 700 peaches. Find the function that describes the per-tree yield, Y, in terms of x. Y = if is no more than 30 trees per acre Y= Find the total yield per acre, T, that results from planting x trees per acre. T = if is no more than 30 trees per acre T = | c. Differentiate T with respect to x dT/dx = dT/dx = Does this derivative ever equal zero? Yes No d. Sketch the graph of T as x varies and hence find the value of x that maximizes the yield and the maximum value of the yield. Optimal value of : trees per acre Maximum yield : peaches per acre Is T differentiable when Times equals 30? Yes No
The maximum point of a function found by solving f'(x) = 0
1.Y(x) = 900, if x ≤ 30
2.900 - 40(x - 30), if x > 30
3.T(x) = x × Y(x)
4.dT/dx = 900, if x < 30
5.2100x - 40x² if x > 30
6.The derivative dT/dx equals zero at x = 52.5, but it is not valid in the given context.
7.The maximum yield occurs at x = 30 trees per acre, with a maximum yield of 27,000 peaches per acre.
8.T(x) is differentiable at x = 30.
To find the function that describes the per-tree yield, Y, in terms of x, use the given information:
If there are 30 or fewer trees planted per acre (x ≤ 30), the per-tree yield is 900 peaches per tree.
If there are more than 30 trees planted per acre (x > 30), the per-tree yield decreases by 40 peaches for every extra tree planted beyond 30.
The function Y(x) as follows:
Y(x) = 900, if x ≤ 30
Y(x) = 900 - 40(x - 30), if x > 30
find the total yield per acre, T, that results from planting x trees per acre. The total yield is simply the per-tree yield (Y) multiplied by the number of trees per acre (x):
T(x) = x × Y(x)
differentiate T with respect to x (dT/dx) to find where the maximum yield occurs.
dT/dx = d/dx (x × Y(x))
dT/dx = d/dx (x × (900 - 40(x - 30)))
To find if this derivative ever equals zero, it to zero and solve for x:
0 = 900 - 40(x - 30)
40(x - 30) = 900
x - 30 = 22.5
x = 52.5
So, the derivative dT/dx equals zero at x = 52.5. However, we need to check whether this value is valid for our function. Recall that if x > 30, the per-tree yield decreases by 40 peaches for every extra tree planted beyond 30. Therefore, planting 52.5 trees per acre would result in a negative per-tree yield, which is not physically meaningful in this context. Thus, the maximum yield occurs at the critical point within the valid domain, which is x = 30.
Now, let's find the maximum value of the yield at x = 30:
T(30) = 30 ×Y(30) = 30 × 900 = 27,000 peaches per acre
The optimal value of x that maximizes the yield is 30 trees per acre, and the maximum yield is 27,000 peaches per acre.
Finally, let's determine if T(x) is differentiable when x equals 30. Since T(x) is a piecewise function, we need to check if the left and right-hand derivatives at x = 30 are the same.
Left-hand derivative (x < 30):
dT/dx = d/dx (x × 900) = 900
Right-hand derivative (x > 30):
dT/dx = d/dx (x × (900 - 40(x - 30))) = d/dx (x × (900 - 40x + 1200)) = d/dx (2100x - 40x²)
Now, evaluate the right-hand derivative at x = 30:
dT/dx = 2100(30) - 40(30)² = 63,000 - 36,000 = 27,000
Since the left-hand derivative and the right-hand derivative at x = 30 are equal (both are 27,000), T(x) is differentiable at x = 30.
To know more about function here
https://brainly.com/question/31062578
#SPJ4
Move the yellow dots in order to make the segments intersect. Let the intersection be called point V. Make the lines intersect in such a way that angle ∠SVT is an obtuse angle less than 135°. Afterwards, use the protractor to determine the precise measure of all four angles. You should redraw the lines if angle ∠SVT is not the proper size.
All four measures of the angles are mentioned in the figure.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
If the measure of the angle is more than the right angle that is 90°. Then the angle is known as the obtuse angle.
Move the yellow dabs to make the portions cross. Allow the convergence to be called point V. Cause the lines to cross so that point ∠SVT is a harsh point under 135°.
Let the measure of the angle ∠SVU be 'x' which is greater than 45°. Then the measure of the angle ∠SVT will be '180 - x'.
All four measures of the angles are mentioned in the figure.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
Determine the
constant of
proportionality.
Answer:
Step-by-step explanation:
Time is 2 miles 110 is 55 miles per hr
5 hrs *55 mph= 275
12*55= 660
Yes it is in proportion.
A class contains 5 girls and 5 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?
Answer:
20/39.
Step-by-step explanation:
There are a total of 13 students.
Prob(Boy is selected) = 8/13
Prob(Girl is then selected) = 5/12
So probability ( Boy selected then a girl) = 8/13 * 5/12 = 10/39
- and the probability of Girl then a boy selected is also 10/39
So the required probability = 2 * 10/39
= 20/39.
plots are used to detect some of the common violations to the regression model assumptions. These graphical plots are easy to use and provide informal analysis of the estimated regression models.ResidualResponsePerfect multicollinearity
Answer:
Plots that can detect violations in regression assumptions, while response plots help analyse the relationship between the response variable and predictors are Residual plots and scatterplot matrix.
Step-by-step explanation:
There are several graphical plots commonly used to detect violations of regression model assumptions and analyze estimated regression models. Here are a few examples:
Residual plot: A residual plot shows the difference between the observed values of the response variable and the predicted values from the regression model. Patterns in the residuals, such as nonlinearity, heteroscedasticity (unequal variances), or outliers, can indicate violations of assumptions.
Response plot: This plot examines the relationship between the response variable and one of the predictor variables while holding other predictors constant. It helps identify nonlinearity or other issues in the relationship between the response and predictors.
Scatterplot matrix: A scatterplot matrix displays scatterplots between pairs of predictor variables. It can help detect issues like perfect multicollinearity, which occurs when two or more predictors are highly correlated, leading to problems in estimating the regression coefficients.
Learn more about scatterplot matrix here, https://brainly.com/question/30383441
#SPJ11
Please help The answer choices are
Y=10x-20
Y=x+2
Y=x-20
Y=20-10x
The Answer should be C.) Y=x-20
-----------------------------------------------------------------------------------------------------------------Have a nice day person!!!
<3
Miri
In the triangles, Line segment B C is-congruent-to line segment D E and Line segment A C is-congruent-to line segment F E. Triangles A B C and F D E are shown. The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. If m Angle C is greater than m Angle E, then Line segment A B is ________ Line segment D F. Congruent to longer than shorter than the same length as
Answer:
Longer than
Step-by-step explanation:
The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:
AC = FE, BC = DE
Also m∠C is greater than m∠E
∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF therefore AB is greater than DF
From the given two triangles under the given conditions of congruency, we can say that;
Line segment AB is longer than Line segment FD.
CongruencyThe image showing both triangles is missing and so i have attached it.
From the attached image, we see that BC is congruent to DE and AC is congruent to FE. Thus, if Angle BCA was congruent to angle DEF, then the it means that both triangles would be congruent as well, because it would satisfied the Side Angle Side (SAS) congruence postulate.Therefore, we can say that line AB and line FD do not have the same length.
Now, we see that angle BCA is larger than angle DEF, and as such we can say that the line segment AB is longer than line segment FD.
Read more about congruency at; https://brainly.com/question/3168048
Where is point K(-100, 100)
located?
The answer is here:
x= -100
y= 100
Hope This Helps! Have A GREATTT Day!
Answer:
x= -100
y= 100
Step-by-step explanation:
Find the quotient when P(x) is divided by the binomial following it. P(x)=x^(3)+3x^(2)-4;x-1 The quotient is
The quotient when P(x) = \(x^3\)+ 3\(x^{2}\) - 4 is divided by the binomial x - 1 is \(x^{2}\) + 4x + 7.
To find the quotient, we can use polynomial long division. The divisor is x - 1, which represents a binomial with a root at x = 1. We divide the polynomial P(x) = \(x^3\) + 3\(x^{2}\) - 4 by x - 1.
Starting with the highest power of x in P(x), which is \(x^3\), we divide \(x^3\) by x to get \(x^{2}\). We then multiply x - 1 by \(x^{2}\), resulting in \(x^3\) - \(x^{2}\). Subtracting this from P(x), we get 4\(x^{2}\) - 4. We bring down the next term, which is 0, and continue the process.
Next, we divide 4\(x^{2}\) by x to get 4x. We multiply x - 1 by 4x, yielding 4\(x^{2}\) - 4x. Subtracting this from 4\(x^{2}\) - 4, we get 4x - 4. Again, we bring down the next term, which is 0.
Finally, we divide 4x by x to get 4. We multiply x - 1 by 4, giving us 4x - 4. Subtracting this from 4x - 4, we get 0. Since there are no more terms to bring down, the process is complete.
The resulting quotient is \(x^{2}\)+ 4x + 7, indicating that P(x) = (x - 1)(\(x^{2}\) + 4x + 7), with a remainder of 0.
Learn more about binomial here:
https://brainly.com/question/30339327
#SPJ11
In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained. Will Give Brainiest!!!!!
Answer:
Center: (0,0) coefficient: \(\frac{1}{3}\)
Step-by-step explanation:
The side of the smaller polygon is 1/3 the size of the larger one, and that is why the coefficient is 1/3.
Polygon MNPQ was dilated by a scale factor of 1/3 and center of dilation (0, 0) to create M'N'P'Q'.
What is dilation?Dilation is the increase or decrease in the size of a figure by a scale factor of k, thereby creating an image.
From the diagram:
Scale factor = N'P' / NP = 2/6 = 1/3
Center = (0, 0)
Polygon MNPQ was dilated by a scale factor of 1/3 and center of dilation (0, 0) to create M'N'P'Q'.
Find out more on dilation at: https://brainly.com/question/10253650
Esther applies a translation of 4 units up and 6 units to the right to create W'X'Y'Z'. What are the coordinates of Z'?
Answer:
(3,2)
Step-by-step explanation:
A bag contains 5 white marbles, 3 yellow marbles, and 2 black marbles. If you pull out a marble without replacing it, what is the probability of choosing a yellow and then black marble?
Answer:
1/15
Step-by-step explanation:
5+3+2 = 10
Chance of pulling out a yellow marble = 3/10
Once you pull out the marble there are 9 marbles left, 2 yellows, 2 blacks and 5 whites.
Chance of then pulling out a black marble = 2/9
3/10 x 2/9 = 6/90
6/90 = 1/15
Selena rides her bicycle to work . it takes her 15 minutes to go 3 miles . if she continues at the same rate , how long will it take her to go
Answer:
5 minutes per mile
Step-by-step explanation:
15 divided by 3 = 5
Solve 8x-3y=17 for y
Answer:
y= 8 /3 x+ −17 /3
Step-by-step explanation:
Step 1: Add -8x to both sides.
Step 2: Divide both sides by -3.
Hope this helped!
Have a great day :)
Answer:
y= 17/3 - 8/3x
Step-by-step explanation:
subtract 8x from both sides and get -3y = 17- 8x. Next divide everything by -3 (because it’s the number in front of Y) making it Y= 17/3 -8/3x (were left with big numbers because neither 17 or 8 can be divided by 3)
9+x/3=2
what is x in this equation?
Answer:
-21
Step-by-step explanation:
9 + x/3 = 2
x/3 = -7
x=-21
I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!
There are 10 rows of flowers in the garden. Each row has 6 roses, 4 mums, and 5 tulips. Which expression represents this situation
Answer:
10(6 + 4 + 5)
Step-by-step explanation:
an art gallery is selling replicas of some famous artworks. a copy of the artwork is dilated by a scale factor of 13 to create a replica of the original piece. if the area of some original artwork was 12 square feet, what will be the area of the replica? enter the answer in the box, rounded to the nearest hundredth.
The area of the replica is approximately 1.33 square feet, Rounded to the nearest hundredth.
If the original artwork has an area of 12 square feet, then a replica created by dilating the original by a scale factor of 1/3 will have an area that is (1/3)^2 = 1/9 of the original area. Therefore, the area of the replica will be:
12 square feet × 1/9 = 4/3 square feet ≈ 1.33 square feet
A scale factor is a multiplier that scales or resizes a shape, figure, or object. It is used to determine the size of a new shape or figure when it is scaled up or down by a certain factor. The scale factor can be expressed as a ratio, a fraction, or a decimal. For example, if a rectangle has a length of 10 units and a width of 5 units, and it is scaled up by a factor of 2, the new rectangle will have a length of 20 units and a width of 10 units. The scale factor, in this case, is 2.
Scale factors are commonly used in geometry, especially in transformations such as dilation, which involves scaling a shape by a certain factor without changing its shape. Scale factors can also be used in real-world applications such as maps, where a scale factor is used to represent the ratio between the distance on the map and the actual distance on the ground.
To learn more about Scale factor visit here:
brainly.com/question/30215119
#SPJ4
Complete Question:
an art gallery is selling replicas of some famous artworks. a copy of the artwork is dilated by a scale factor of \(\frac{1}{3}\) to create a replica of the original piece. if the area of some original artwork was 12 square feet, what will be the area of the replica? enter the answer in the box, rounded to the nearest hundredth.
there were 7 students in the Trojans cheer-leading squa. The childred shared 5 pizzas. How many slices of pizza did each cheerleader get?
1.4 I think I hope im right sorry If my not
9.5% of Undergraduate students study abroad. 60% of those who study abroad are female. 49 % of those who do not study abroad are female. calculate probability of a female student studying abroad .
The probability of a female student studying abroad is 9.5%. 60% of those who study abroad are female, while 49% of those who do not study abroad are female.
P(Female studying abroad) = P(Female and Studying Abroad) / P(Female)
P(Female and Studying Abroad) = 0.095 × 0.60 = 0.057
P(Female) = 0.095 × 0.60 + 0.905 × 0.49 = 0.902
P(Female studying abroad) = 0.057 / 0.902 = 0.063
Therefore, the probability of a female student studying abroad is 0.063.
The probability of a female student studying abroad is 9.5%. This means that out of all the undergraduate students, 9.5% of them are female and are studying abroad. It is also important to note that out of those who study abroad, 60% are female, while 49% of those who do not study abroad are female. This means that more female students are likely to study abroad than male students, as the percentage of female students studying abroad is higher than the percentage of male students studying abroad. It is also important to note that the overall percentage of female students studying abroad is lower than the overall percentage of male students studying abroad, as the number of female students who study abroad is lower than the number of male students who study abroad. Therefore, the probability of a female student studying abroad is 9.5%.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
Alicia invests £1535 into an savings account.
Alicia gets
0.25
%
per year simple interest.
Work out the total interest Alicia will get after 21 years.
Alicia will get £80.59 as interest.
What is interest?Interest is payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum, at a particular rate.
Given,
Principal amount = £1535
Rate of interest per year = 0.25% = 0.0025
Time = 21 years
Simple interest = Principal × rate × time
Interest = 1535 × 0.0025 × 21
= 80.5875 ≈ £80.59
Hence, £80.59 is the interest, Alicia will get.
Learn more about interest here:
https://brainly.com/question/26457073
#SPJ1
HELP ASAP WORTH 50 POINTS!! WILL GIVE BRAINLIEST!
Bell is 5 more than 4 times older than John. Together their ages add to 70. How old is John?
John is 13
John is 15
John is 56
John is 2
Answer:
I think John is 13 is the answer buti'm not 100%㋛︎
Answer:
John is 13
Step-by-step explanation:
If john is 13 then 4 times that is 52 and bell is 5 more so 57 and 57 plus 13 = 70
if you are in a club with 14 people that is organizing a spaghetti dinner, how many different ways can you select 3 people to be ticket takers?
If there are 14 people in a club organizing a spaghetti dinner, there can be 364 ways to select 3 people to be ticket takers.
A combination is a selection of things taken from a larger group, where the order in which things are selected is unimportant. A combination is distinct from a permutation, which is a method of organizing objects in which order matters. A combination is a method of selecting things in which order does not matter. In general, the combination formula can be used to determine the number of possible combinations that exist for a given set of things.
Suppose we have to select 3 people out of 14 people. The number of possible combinations can be found using the combination formula, which is given byC(n,r) = n!/(n-r)!r!where n is the total number of objects, and r is the number of objects selected.C(14,3) = 14!/(14-3)!3!C(14,3) = (14 × 13 × 12)/(3 × 2 × 1)C(14,3) = 364Therefore, there are 364 ways to select 3 people to be ticket takers from a group of 14 people.
To know more about combination refer here:
https://brainly.com/question/13090387
#SPJ11
Riverboat Adventures pays $310,000 plus $15,000 in closing costs to purchase real estate. The real estate consists of land appraised at $35,000, a building appraised at $105,000, and land improvements appraised at $210,000. Compute the cost that should be allocated to the land.
To determine the cost allocated to the land, we need to calculate the proportionate cost of the land in relation to the total appraised value of the real estate. Therefore, the cost allocated to the land is $32,500.
The total cost paid for the real estate is $310,000 plus $15,000 in closing costs, totaling $325,000. To allocate the cost to the land, we need to calculate the proportion of the land's appraised value to the total appraised value of the real estate.
The total appraised value of the real estate is the sum of the appraised values of the land, building, and land improvements, which amounts to $35,000 + $105,000 + $210,000 = $350,000.
To calculate the cost allocated to the land, we divide the appraised value of the land by the total appraised value of the real estate and multiply it by the total cost paid:
Cost allocated to land = (Appraised value of land / Total appraised value) * Total cost
= ($35,000 / $350,000) * $325,000
= 0.1 * $325,000
= $32,500
Therefore, the cost allocated to the land is $32,500. This allocation is based on the relative appraised value of the land compared to the total appraised value of the real estate.
Learn more about multiply here:
https://brainly.com/question/23536361
#SPJ11
question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
Know more about Magnitudes here:
https://brainly.com/question/31022175
#SPJ11
How to restore stuff
We can see here that in order to restore stuff, here are some steps to take:
Research the item: Learn as much as you can about the item you want to restore, including its age, materials, and any history or sentimental value.Assess the damage: Determine the extent of the damage and what needs to be done to restore the item.Gather materials: Collect all the necessary materials, such as paint, glue, and any tools you may need.What is restoration?Restoration is the process of returning an object or structure to its original condition or a close approximation of it. This can include cleaning, repairing, and/or preserving items such as furniture, antiques, artwork, historic buildings, and more.
The goal of restoration is to preserve the integrity of the item and maintain its historical or sentimental value. This process can include various techniques such as carpentry, metalworking, painting, and conservation.
To still restore a stuff,
Clean the item: Use a gentle cleaner to remove any dirt or grime from the item.Repair any damage: Use glue or other adhesives to fix any broken part.Learn more about restoration on https://brainly.com/question/2843805
#SPJ1
You have $135 in a saving account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How many weeks will it take for you and your friend to have the same balance?
Answer: It will take 5 weeks for you and your friend to have the same balance.
Step-by-step explanation:
Let x be the number of weeks.
Total money saved = Money in saving account + (Money saved per week)×(Number of weeks)
For you, Total money saved = 135 + 12x
For your friend , Total money saved = 95 + 20x
W hen they have equal amount int heir account , then
\(135+12x=95+20x\\\\\Rightarrow\ 135-95=20x-12x\\\\\Rightarrow\ 40= 8x\\\\\Rightarrow\ x=\dfrac{40}{8}=5\)
So, it will take 5 weeks for you and your friend to have the same balance.
IF YOU ANSWER FIRST YOU WILL GET BRAINLIEST ANSWER THIS CORRECTLY
Answer:
the last one
Step-by-step explanation:
D.
The last answer is correct
The greatest advantage of SI is that it has only one unit for each quantity (type of measurement). This means that it is never necessary to convert from one unit to another (within the system) and there are no conversion factors for students to memorize.
HOPE THIS HELPED
AND IF IT DOES PLEASE GIVE BRAINLIST