Step-by-step explanation:
for the ones with the 1.43, it'll be written as an improper fraction. Let me know if you have questions,I've started it for you now try the rest
0.333 is apoximently 1/3
0.666 is aproximently 2/3
i couldnt find out the others tho s0rry
\Hoped that helped:P
HELP HELP PLEASE
In 11-18. estimate each sum or difference. 14. 418.5 - 23.7 11. 79.1 + 324 13. 837 + 488.12 12. 788.9 - 572 18. 3.8 +4.1 + 3.3 15. 29+39 16. $12.99 - $3.95 17. 8.1 +3.7 + 7.9
16.
$12.99 - $3.95 = $9.04
\(\begin{gathered} 17. \\ 8.1+3.7+7.9=19.7=20 \\ 18. \\ 3.8+4.1+3.3=11.2=11 \end{gathered}\)x2 – y2 = 16. (a) Solve the system of equations: : { {= x² - y 1 7 = (b) Graph the solution set of the system of inequalities: { x² - y² 1 x2 – y < 7 > 0 х Be sure to label all the corners.
(a)To solve the system of equations, x^2 - y^2 = 16 and x^2 - y = 7, we can use substitution or elimination method to find the values of x and y.
(b) To graph the solution set of the system of inequalities, x^2 - y^2 > 7 and x^2 - y < 0, we need to plot the boundaries and shade the appropriate regions based on the given inequalities.
(a)Let's use the substitution method to solve the system of equations:
From the second equation, we can rewrite it as x^2 = y + 7.
Substituting this value of x^2 in the first equation, we get (y + 7) - y^2 = 16.
Rearranging the equation, we have -y^2 + y + 7 - 16 = 0.
Simplifying further, we get -y^2 + y - 9 = 0.
Now, we can solve this quadratic equation for y by factoring or using the quadratic formula.
After finding the values of y, we can substitute them back into the second equation to find the corresponding values of x.
(b)To graph the solution set, we first graph the boundaries of the inequalities. For x^2 - y^2 > 7, we draw the curve of the equation x^2 - y^2 = 7, which represents a hyperbola. For x^2 - y < 0, we graph the curve of the equation x^2 - y = 0, which represents a parabola opening upwards.
Next, we need to determine which regions satisfy the given inequalities. For x^2 - y^2 > 7, the shaded region lies outside the hyperbola. For x^2 - y < 0, the shaded region lies below the parabola.
By combining the shaded regions of both inequalities, we find the solution set of the system of inequalities. It includes the regions outside the hyperbola and below the parabola. We label the corners of the shaded region to indicate the solution set accurately.
To learn more about parabola Click Here: brainly.com/question/29267743
#SPJ11
A garden table and a bench cost $763 combined. The garden table costs $63 more than the bench. What is the cost of the bench?
Answer:
the bench costs $350 and the table costs $444
Step-by-step explanation:
What is x+r if x =4 and r=5
Answer:
9
Step-by-step explanation:
x + r. Substitute
4 + 5 Add
9
A store employee creates a display of sleds priced at $40 apiece. The store paid $32 for each sled. What is the mark-up percentage? *
Answer:
The sleds are marked up 25%
Step-by-step explanation:
28. A speed of a boat in still water is 11 km/hr. It can go 12 km upstream and return downstream to
the original point in 2 hr 45 minutes. Find the speed of the stream,
Answer:
Step-by-step explanation:
19?
Answer:
5 km
Step-by-step explanation:
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ1
The function f(x) = 5^x is translated 7 units down. Which function is the result of the translation?
a) g(x) = 5^x – 7
b)g(x)=5^x +7
c) g(x) = 5^x+7
d) g(x) = 5^x−7
The function we get after the translated 7 units down from the given function is: \(g(x) = 5^x - 7\)
Translating a function involves moving its graph up, down, left or right without changing its shape or size. This is achieved by adding or subtracting a constant from the function, which shifts its graph up or down or left or right. (For example, if we have a function \(f(x) = x^2\), and we want to move it two units to the right, we would replace x with (x-2) to get \(g(x) = (x-2)^2.\) This new function is the translated version of the original function \(f(x)\) and its graph is shifted two units to the right.
Similarly, if we want to move the graph of the function \(f(x) = x^2\) two units up, we would add 2 to the function to get \(g(x) = x^2 + 2.\) This new function is the translated version of the original function f(x) and its graph is shifted two units up.)
To translate a function 7 units down, we need to subtract 7 from the original function. Therefore, the correct function that represents the translation of \(f(x) = 5^x\) is:
\(g(x) = 5^x - 7\)
So, the answer is (a).
To know more about the Translating a function visit:
brainly.com/question/29198392
#SPJ1
Rena bought 4 snickers bars and 7 reeses for $3.50. Winny bought 8 snickers and
3 reeses for $5.25. Which system represents this situation?
Therefore, the system of equations that represents this situation is: 4s + 7r = 3.50 and 8s + 3r = 5.25.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.
Here,
Let's start by defining some variables to represent the unknowns in this problem. Let's use:
s: the price of one snickers bar
r: the price of one reeses
Now, we can write two equations to represent the total cost for Rena and Winny, based on the number of snickers bars and reeses they bought, and the prices of each candy:
For Rena:
4s + 7r = 3.50
For Winny:
8s + 3r = 5.25
To know more about equation,
https://brainly.com/question/28243079
#SPJ1
when we solve an inequality and divide by a negative. what do we need to remember to do with the inequality sign?
Answer:
To flip the sign.
Step-by-step explanation:
Whenever you divide or multiply by a negative number, you must change the direction of the sign.
what is the equation of the following line? be sure to scroll down first to see all answer options
Answer:
The equation for the following graph:
\(y = -\frac{1}{5}x\)
Step-by-step explanation:
- You first need to find the slope by using the slope formula:
\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
(where \((x_{1},y_{1})\) is the first point and \((x_{2}, y_{2})\) is the second point)
-Use the given points \((0,0)\) and \((10, -2)\) from the graph for the formula:
\(m = \frac{-2 - 0}{10 - 0}\)
Then, you solve:
\(m = \frac{-2 - 0}{10 - 0}\)
\(m = -\frac{1}{5}\)
After you have found the slope, use the slope \(-\frac{1}{5}\) and the first point \((0,0)\) for the point-slope formula:
\(y - y_{1} = m ( x - x_{1})\)
(where \(m\) is the slope and \((x_{1}, y_{1})\) is the first point)
\(y - 0 = -\frac{1}{5} ( x - 0)\)
Then, you solve:
\(y - 0 = -\frac{1}{5} ( x - 0)\)
\(y - 0 = -\frac{1}{5}x - 0\)
\(y - 0 + 0 = -\frac{1}{5} - 0 + 0\)
\(y = -\frac{1}{5}x\)
So, the equation for the following graph is \(y = -\frac{1}{5}x\) .
о с. А о.
Sign
Which of the following lines is parallel to the
line 4x - 3y = 15?
A. y=4x-5
B. y=-3/4x+2
C. y=3/4x+8
D. y=4/3x-1
Answer:
Step-by-step explanation:
To be parallel the slopes must be equal
4x-3y=15
3y=4x-15
y=(4x-15)/3
so m=4/3
Only line D. has a slope of 4/3
Answer:
D. y = (⁴/₃)x – 1
Step-by-step explanation:
To find the answer to this problem, we need to find the slope of 4x – 3y = 15 . Why? A line that is parallel to another line has the same slope as the other line.
The question gives the line in standard form, but all the options are in slope-intercept form. In addition, standard form is the only type of linear equation that does not explicitly give the slope. The slope is the change in the dependent variable, y, over the change in the independent variable, x. This means we need to solve the equation for y and so:
4x – 3y = 15 — original equation
4x – 3y – 4x = 15 – 4x — subtracting 4x on each side to isolate 3y and reverse the addition of 4x
–3y = 15 – 4x — simplifying; the 4x on the left cancels out
–3y ÷ –3 = (15 – 4x) ÷ –3 — dividing both sides by –3 to isolate y
–3y ÷ –3 = (15 ÷ –3) + (–4x ÷ –3) — distributing the division by –3 on the right side to make it easier to understand
y = (⁴/₃)x – 5 — simplifying; this is our expression for y, and it gives us the slope
Now, which line has a slope of ⁴/₃? That would be Option D, y = (⁴/₃)x – 1, so that's our answer.
Of course, you could have just found two points on the graph and then used point-slope form to solve for the slope, but that takes more time…
I hope this makes it easier to understand the concept! Have a great day!
Amanda’s dog eats 12 1/2 pounds of dog food in 3 weeks. How much does Amanda's dog eat each day? Leave your answer as a fraction.
b. Hazel is a member of one of these organizations. What is the probability that she is a
member of FFA?
The probability that Hazel is a member of the FFA , given the number of organizations is 1 / 3.
How to find the probability ?Three potential organizations in which Hazel could participate are the Future Farmers of America (FFA), 4-H, and Students Against Destructive Decisions (SADD). It is established that Hazel is a constituent of one of the aforementioned groups.
Hence, it may be posited that every organization holds an equi-probable likelihood of accommodating Hazel as a member.
This then means that the probability that Hazel is a member of the FFA would then be:
Probability = Number of possible outcomes / Number of desired outcomes
Probability = 1 / 3
Probability = 33. 3333 %
Find out more on probability at https://brainly.com/question/30426178
#SPJ9
The full question is:
Hazel is a member of one of these organizations : FFA, 4-H, and SADD. What is the probability that she is a member of FFA?
Diego lives 1/2 mile from school. Jonah lives 5% as far from school as Diego. How far, in miles, does diego live from school?
Answer:
The answer is .25
Step-by-step explanation:
convert 1/2 to .5 the multiply .5 by .5 which gives you .25
hope this helps
The principal of Oceanside middle school recorded the number of students in each class. What was the upper qualities of the class side?
Given:
The given box plot represents the class size of Oceanside middle school.
To find:
The upper quartile of the class side.
Solution:
In a box plot the starting the end or box present the first quartile and third quartile respectively. The line inside the box represents the median. The left and right end points of the segments are the minimum and maximum values respectively.
From the given box-plot it is clear that,
Minimum value = 22
First quartile or lower quartile= 24
Second quartile or median = 25
Third quartile or upper quartile= 26
Maximum value = 29
Therefore, the upper quartile of the class size is 26 student.
Help plssss nobody helps me 100 pt
Answer: I agree
Step-by-step explanation:
He right i came too late lol
the ratio of salads to sandwiches were 3:8 there were 12 salads sold how many sandwiches
If the ratio of salads to sandwiches is 3:8 and there were 12 salads sold, then the number of sandwiches can be calculated by setting up a proportion. The answer is 32 sandwiches.
To determine the number of sandwiches, we can set up a proportion using the given ratio. The proportion can be written as:
3/8 = 12/x
where x represents the number of sandwiches.
To solve for x, we can cross-multiply and then divide:
3x = 12 * 8
3x = 96
x = 96/3
x = 32
Therefore, there were 32 sandwiches sold.
Learn more about ratio here:
https://brainly.com/question/13419413
#SPJ11
Maleah spins a spinner twice. What is the probability that she spins an odd number and then spins a 3?
Answer:
Step-by-step explanation:
0.5
There are 7 apple pies.
All of the pies are the same size.
3 people will share the pies equally.
How much pie will each person get?
A.
3
7
of a whole pie
B.
3
4
of a whole pie
C.
4
3
of a whole pie
D.
7
3
of a whole pie
The fraction for the given situation is 7/3. Therefore, option D is the correct answer.
Given that, there are 7 apple pies.
3 people will share the pies equally.
Equal share of pie = Number of apple pies/Number of people
Equal share of pie = 7/3
So, the fraction is 7/3 of a whole
Therefore, option D is the correct answer.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ1
Can someone help me find the surface area and volume for these shapes ty.
Answer:
you multiply im pretty sure
Step-by-step explanation:
The temperature outside was 22˚F. The wind chill made it feel like -8˚F. Find the difference between the real temperature and the apparent temperature.
please help
The difference between the real temperature and the apparent temperature is - 30˚F.
What is Subtraction?
Subtraction is an operation which is used to find the difference between two numbers.
Given that;
The temperature outside (real temperature) = 22˚F
The wind chill made it feel like -8˚F.
That is, The apparent temperature = -8˚F
Now,
The difference between the real temperature and the apparent temperature = - 8˚F - 22˚F
= - 30˚F
Hence, The difference between the real temperature and the apparent temperature is - 30˚F.
Learn more about the subtraction visit:
https://brainly.com/question/15268305
#SPJ1
Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5. Find det B and det C.
Does det B= -5, det C= 5/3 ? True or False?
Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5.then det B= -5, det C= 5/3 is a true statement
What is a matrix simple definition?
matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide applications in engineering, physics, economics, and statistics as well as in various branches of mathematics.
learn more about of matrix here
https://brainly.com/question/28180105
#SPJ4
Help Please and NO LINKS!!! use trig to find the angles
mark as brainllest if its right
Answer:
x = 46.7°
Step-by-step explanation:
We are given:
1.) Angle x
2.) Side opposite to angle x
3.) Hypotenuse
We have to find angle x, therefore Sin ratio would be used;
Sin(x) = Opposite / hypotenuse
Sin(x) = 4 / 5.5
x = Sin⁻¹(4/5.5)
x = 46.7°
Hope this helps!
5 is the cube root of 125. Use the Linear Approximation for the cube root function at a 125 with Ar 0.5 to estimate how much larger the cube root of 125,5 is,
The estimate for how much larger the cube root of 125.5 is compared to the cube root of 125 is approximately 0.00133.
To estimate how much larger the cube root of 125.5 is compared to the cube root of 125, we can use linear approximation.
Let's start by finding the linear approximation of the cube root function near x = 125. We can use the formula:
L(x) = f(a) + f'(a)(x - a)
where f(x) is the cube root function, a is the point at which we are approximating (in this case, a = 125), f(a) is the value of the function at point a, and f'(a) is the derivative of the function at point a.
The cube root function is f(x) = ∛x, and its derivative is f'(x) = 1/(3√(x^2)).
Plugging in a = 125, we have:
f(125) = ∛125 = 5
f'(125) = 1/(3√(125^2)) = 1/375
Now we can use the linear approximation formula:
L(x) = 5 + (1/375)(x - 125)
To estimate how much larger the cube root of 125.5 is compared to the cube root of 125, we can substitute x = 125.5 into the linear approximation formula:
L(125.5) = 5 + (1/375)(125.5 - 125)
Simplifying the expression, we get:
L(125.5) ≈ 5 + (1/375)(0.5)
L(125.5) ≈ 5 + 0.00133
L(125.5) ≈ 5.00133
Therefore, the estimate for how much larger the cube root of 125.5 is compared to the cube root of 125 is approximately 0.00133.
To know more about Linear approximation click on the link below:
brainly.com/question/1621850#
#SPJ11
Your Stats teacher tells you your test score was the 3rd quartile for the class. Which is true?
I. You got 75% on the test.
II. Youcan'treallytellwhatthismeanswithoutknowingthestandarddeviation.
III. You can't really tell what this means unless the class distribution is nearly Normal.
When multiplying units, use the same principle that you use for multiplying fractions. In addition, ifone unit is in the numerator and the identical unit is in the denominator, they cancel each other out (to essentially equal 1). Any remaining units are used in the answer. ( centimheter) ( centimeter meter )=1 meter = meter You can also multiply several units together at once using the same principle as for fractions containing numbers. ( second centipheters )( centimeter meter )( meters kilopreter )( kilopeter megameter )= second megameter It is very important to note that if a unit appears only once in the numerator but more than once in the denominator, we can only cancel one of the unit expressions in the denominator. Think of this concept in terms of fractions. If the number 4 is in the numerator, and two 45 are in the denominator of different fractions, we only cancel out one of the 45 on the bottom, not both. (54)(43)(41)=(5∗4)(3∗1)=203=0.15 Evaluate the following unit expression. Enter the resulting units as your answer. Do not abbreviate the units and do not use parentheses. Parentheses mean multiplication. ( kilogram )( kilogram grams )( gram milligrams )= Evaluate the following unit expression. Enter the resulting units as your answer. Do not obbreviate the units and do not use parentheses. Parentheses mean multiplication. ( mole )( mole grams )( gram liter )= Evaluate the following unit expression. Enter the resulting units as your answer. Do not abbreviate the units. Enter units exactly as they anpear in the problem. Use ^ for exponents (so ft∧2forft2 ). Use " for multiplication and / for division. Do not include any spaces and not use parentheses. Parentheses mean multiplication. (mL)(cmmg)( mLcm3)=(mL)(cmmg)( mLcm∗ cm∗ cm)= Evaluate the following unit expression. Enter the resulting units as your answer. Do not abbreviate the units. Enter units exactly as they annear in the problem. Use ∧ for exponents ( so ft∧2for22). Use " for multiplication and / for division. Do not include any spaces and not use parentheses. Parentheses mean multiplication. (f2g)(mLft)(gmL)=(ft∗ftg)(mLft)(gmL)=
The resulting units are kilograms grams milligrams, mole grams liter, ft^2g mL ft gmL
To evaluate the given unit expressions, we can apply the rules of multiplying units similar to multiplying fractions.
(kilogram)(kilogram grams)(gram milligrams):
The units cancel out as follows:
(kilogram)(kilogram grams)(gram milligrams) = (kilogram)(grams)(milligrams)
Therefore, the resulting units are kilograms grams milligrams.
(mole)(mole grams)(gram liter):
The units cancel out as follows:
(mole)(mole grams)(gram liter) = (mole)(grams)(liter)
Therefore, the resulting units are mole grams liter.
(mL)(cmmg)(mLcm3):
The units cancel out as follows:
(mL)(cmmg)(mLcm3) = (mL)(cm mg)(cm^3)
Therefore, the resulting units are mL cm mg cm^3.
(f^2g)(mLft)(gmL):
The units cancel out as follows:
(f^2g)(mLft)(gmL) = (ft^2g)(mLft)(gmL)
Therefore, the resulting units are ft^2g mL ft gmL.
Learn more about units from the given link
https://brainly.com/question/777464
#SPJ11
the point at which the medians intersect in a triangle
Which of the following represents the divisor and the dividend for the
synthetic division problem below?
Answer:
option D is correct
Step-by-step explanation:
Given data
From the given expression/options of answers, option D is correct
This is because the given expression in the attached file corresponds to the terms in option D
Triangles 1 and 2 are both isosceles. They each have a 30 degree angle. Explain why these triangles don't have to be similar to each other.
Step-by-step explanation:
Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.
Since they do not have all 3 congruent angles, they are not similar.