Answer:
U= -7
I hope this helps!!
Answer: u=-7
Step-by-step explanation:
-18 = -4 + 2u
Add 4 to -18
-14=2u
Divide by 2
U=-7
Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours, what equation could be used to determine how long it will take bonnie to do the job alone
Answer:
Step-by-step explanation:
Let the number of hours Nick does the job alone to be x - 3 hours
Hence, in 1 hour, Nick has done 1/x - 3
Together they complete the job in 9 hours
Hence, let's represent the job as 1
9/x + 9/x - 3 = 1
Multiply through by (x)(x-3)
9(x- 3) + 9(x) = 1
9x - 27 + 9x = (x)(x-3)
-27 = x² - 3x
x² - 3x +27 = 0
Find the expected value of the winnings from a game that has the following payout probability distribution: payout (s) 0 2 4 8 10 probability 0.45 0.3 0.1 0.1 0.05 expected value =[?]
The expected value is 2.3 if the payout probability distribution is payout 0 2 4 8 10 probability 0.45 0.3 0.1 0.1 0.05.
According to the given question.
We have the payout probability distribution.
payout(s): 0 2 4 8 10
Probability: 0.45 0.3 0.1 0.1 0.05
Multiply payout to probability such that:
0×0.45 = 0
2 × 0.3 = 0.6
4 × 0.1 = 0.4
8 × 0.1 = 0.8
10 × 0.05 = 0.5
Therefore, the expected value of the winnings from a game with the given payout probability distribution is
= 0 + 0.6 + 0.4 + 0.8 + 0.5
=2.3
Thus, the expected value is 2.3 if the payout probability distribution is payout 0 2 4 8 10 probability 0.45 0.3 0.1 0.1 0.05.
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Need help solving these questions!!! PLEASE HELP AS SOON AS YOU CAN!! 7.
Use the figure below to identify angle pairs: Picture included
Part I:Name a pair of angles that are complementary and adjacent. (1 point)
Part II: Name a pair of angles that are complementary but not adjacent. (1 point)
Part III: Name a pair of angles that are supplementary and adjacent. (1 point)
Part IV: Name a pair of angles that are supplementary but not adjacent. (1 point)
8. Use the figure below to identify and name points. (second picture)
Part I: Name three points that are collinear. (1 point)
Part II: Name three points that are noncollinear. (1 point)
If CD is the perpendicular bisector of AB , then _____ = EB and m
Answer:
Step-by-step explanation::)
Simplify 7 + (−3) plz plz
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
When we simplify the expression we get 4.
A total of 250 households were surveyed. What fraction of the total number of households have three televisions?
A. 23/100
B. 13/100
C. 1/50
D. 6/25
ABC is a triangle inscribed in a circle AB=AC=10cm , BC=16cm. The chord AE is at right angle to the chord BC at D.Calculate DE and the radius of the circle
Solve 5(4m + 1) − 2m = −13.
Answer:
Step-by-step explanation
5(4m+1)-2m=-13
20m+5-2m=-13
20m-2m=-13-5
18m=-18
m=-1
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{5(4m+1)-2m=-13 } \end{gathered}$}\)
Apply the multiplicative law of distribution.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{20m+5-2m=-13 } \end{gathered}$}\)
Combine as terms.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{18m+5=-13 } \end{gathered}$}\)
Rearrange the unknown terms to the left side of the equation.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{18m=-13-5 } \end{gathered}$}\)
Calculate the sum or difference.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{18m=-18 } \end{gathered}$}\)
Divide both sides of the equation by the coefficient of the variable.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{m=-\frac{18}{18} } \end{gathered}$}\)
Solve for the common factor.
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{m=-1 \iff } \end{gathered}$}\boxed{\boxed{\bf{Answer}}}\)
Please help! This is NOT High School math.
The slope-intercept form of the linear function x - 3y = 18 is given as follows:
y = x/3 - 6.
What is a linear function?The slope-intercept representation of a linear function is given as follows:
y = mx + b
The coefficients of the function are described as follows:
m is the slope of the function, representing by how much y changes when x changes by 1.b is the y-intercept of the function, which is the value of y when the function crosses the y-axis on the graph, i.e., when x = 0.In this problem, the equation is given as follows:
x - 3y = 18.
To write the equation in slope-intercept form, we have to isolate the variable y, hence:
3y = x - 18
y = x/3 - 18/3 (divide by 3 to isolate x).
y = x/3 - 6.
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ABC is translated 4 unite to the loft and 8 unito up, thon roflooted
across the y-axis. What are the coordinatoo of A after the
transformations?
Answer:
(-3, 13)
Step-by-step explanation:
Coordinate of A is (7,5)
4 units to the left means (7-4, 5) --> (3,5)
8 units up means (3, 5+8) --> (3,13)
Reflected across the y-axis means that the sign of whatever x coordinate you have now will be reversed.
So (-3,13)
Solve the following modulo equations/congruences: A. 3x - 107 mod 12. B. 5x + 3 -102 mod 7 C. 66 + 9 mod 11
A. The solution to the congruence 3x - 107 ≡ 0 (mod 12) is x ≡ 1 (mod 12).
B. The solution to the congruence 5x + 3 - 102 ≡ 0 (mod 7) is x ≡ 6 (mod 7).
C. The solution to the congruence 66 + 9 ≡ 0 (mod 11) is x ≡ 4 (mod 11).
To solve modulo equations or congruences, we need to find values of x that satisfy the given congruence.
A. For the congruence 3x - 107 ≡ 0 (mod 12), we want to find an x such that when 107 is subtracted from 3x, the result is divisible by 12. Adding 107 to both sides of the congruence, we get 3x ≡ 107 (mod 12). By observing the remainders of 107 when divided by 12, we see that 107 ≡ 11 (mod 12). Therefore, we can rewrite the congruence as 3x ≡ 11 (mod 12). To solve for x, we need to find a number that, when multiplied by 3, gives a remainder of 11 when divided by 12. It turns out that x ≡ 1 (mod 12) satisfies this condition.
B. In the congruence 5x + 3 - 102 ≡ 0 (mod 7), we want to find an x such that when 102 is subtracted from 5x + 3, the result is divisible by 7. Subtracting 3 from both sides of the congruence, we get 5x ≡ 99 (mod 7). Simplifying further, 99 ≡ 1 (mod 7). Hence, the congruence becomes 5x ≡ 1 (mod 7). To find x, we need to find a number that, when multiplied by 5, gives a remainder of 1 when divided by 7. It can be seen that x ≡ 6 (mod 7) satisfies this condition.
C. The congruence 66 + 9 ≡ 0 (mod 11) states that we need to find a value of x for which 66 + 9 is divisible by 11. Evaluating 66 + 9, we find that 66 + 9 ≡ 3 (mod 11). Hence, x ≡ 4 (mod 11) satisfies the given congruence.
Modulo arithmetic or congruences involve working with remainders when dividing numbers. In a congruence of the form a ≡ b (mod m), it means that a and b have the same remainder when divided by m. To solve modulo equations, we manipulate the equation to isolate x and determine the values of x that satisfy the congruence. By observing the patterns in remainders and using properties of modular arithmetic, we can find solutions to these equations.
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Ralph placed a classified ad to sell his used SUV for $18,500. After two weeks, he didn't sell the SUV, and the newspaper suggested lowering the price 5%. What would the new price be if Ralph reduced it according to the suggestion?
Answer:
17575
Step-by-step explanation:
18500*.05=925
18500-925=17575
17575 would be the new price if Ralph reduced it according to the suggestion.
What is multiplication?When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however other symbols like the "*" sign are also occasionally used.
The information that is present with respect to Ralph and the SUV is
Sell SUV at $18,500
Lowered the price by 5%
The reduction that is made in the price is
= 18500 * 5/ 100
= 18500 * 0.05
= 925
The new price of the SUV will be
= 18500 - 925
= 17575
The new price if Ralph reduced it by 5% will be 17575.
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Please Help!!! Please tell me the code or tell me the answer for each letter
I SENT SCREENSHOTS
The code is 763.
We will use the unitary method.
A) The number of calories burnt in 45 minutes is 375.
The number of hours in 45 minutes is 45/60 = 3/4.
The number of calories burnt in 1 hour is 375*(4/3) = 500.
B) The number of miles walked in 1/8 hours is 1/4.
The number of miles walked in 1 hour is (1/4)*(8/1) = 2.
C) The number of miles run in 1/5 hours is 9/5.
The number of miles run in 1 hour is (9/5)*(5/1) = 9.
D) The number of pizzas made in 5 hours is 125.
The number of pizzas made in 1 hour is 125/5 = 25.
E) The fraction of a picture painted in 3/14 hours is 6/7.
The number of pictures painted in 1 hour is (6/7)*(14/3) = 4.
The code is calculated below :
Code = C(D+E)+(A+B)
Code = 9(25+4)+(500+2)
Code = 9(29)+(502)
Code = 763
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pls help meeee I will make you a brainest
Answer:
B
Step-by-step explanation:
Answer:
c and e
Step-by-step explanation:
Elizabeth bought a sandwich for $3. 75, a bag of chips for $2. 20, and a drink for $0. 80. The tax was $0. 55. She gave the cashier $10. 0. How much change should Elizabeth have received? does he save by buying 40 T-shirts at the better price?
Elizabeth ought to have gotten $2.70 back in change. The information provided makes it impossible to calculate the amount saved by purchasing 40 T-shirts at the lower cost.
We need to add up the price of the sandwich, chips, drink, and tax, then deduct that sum from the amount of cash Elizabeth provided the cashier to determine how much change she should have received. Here is how to calculate it:
Cost of sandwich + chips + drink + tax = $3.75 + $2.20 + $0.80 + $0.55 = $7.30
Amount given to cashier = $10.00
Change = Amount given - Cost of items = $10.00 - $7.30 = $2.70
Therefore, Elizabeth should have received $2.70 in change.
Regarding the second question, there is no information provided about the prices of T-shirts or the better price at which they were bought, so it is not possible to calculate how much is saved by buying 40 T-shirts at a better price.
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Guys Urgent Help me this example3.9 plzzz
Answer:
A Hope this helps!!
Step-by-step explanation:
A because it doesn't matter who gets chosen for the committee there is still going to be more girls than boys but it doesn't have to be a must and it's not B because it would be 3 girls and 2 boys
10. Students were given a set of data to graph. After they had completed their graphs, all
students shared their graphs with their partners. When Ethan and Emma saw each other's
graphs, they exclaimed together, "Your graph is wrong!" Neither graph is wrong. Explain
what Ethan and Emma have done with their data.
Ethan's graph:
A unit collection of records turned into given to the students to graph. All students presented their completed graphs to their partners after finishing them.
Ethan and Emma noticed every different's graphs, they exclaimed together, "Your graph is incorrect!" Neither graph is incorrect
Ethan : \(y(x)=\sqrt{x}\)
Emma: \(y(x)=x^{2}\)
They choose different unit sizes.
What is Unit ?
A unit of measurement is a specific importance of a quantity that has been mounted and recognized by means of law or conference and is used as a benchmark for measuring different quantities of the identical kind. A a couple of of the unit of measurement may be used to specific any other amount of that kind. A duration is an example of a bodily amount.
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Solve the problem by writing a inequality
Answer:
first option
Step-by-step explanation:
number of shirts = x
price of shirts made = 9x+20
amount u earn by selling the shirts = 15x
profit = 15x - (9x+20)
profit of at least 150,
15x - (9x+20) ≥ 150
Suppose Becky has a budget of $32 that she spends on movies (Q 1 ) and roller skating (Q 2 ). The price of movie tickets recently increased from $5 per person to $8 per person, and the price of roller skating decreased from $5 to $4 per p What is Becky's new budget constraint?
Answer:
8Q1 +4Q2 ≤ 32
Step-by-step explanation:
You want to know Becky's budget constraint if she has a budget of $32 that she spends on Q1 movies at $8 each, and Q2 roller skating tickets at $4 each.
SpendingBecky's spending will be the sum of the costs of movie tickets and skating tickets. Each of those costs is the product of the ticket price and the number of tickets.
movie cost + skating cost ≤ ticket budget
8Q1 +4Q2 ≤ 32
<95141404393>
Answer: Let's assume Becky's budget is allocated as follows:
x: Quantity of movies (Q1)
y: Quantity of roller skating (Q2)
p1: Price of movies per person
p2: Price of roller skating per person
B: Budget
Given the following information:
Initial price of movies (p1) = $5 per person
Updated price of movies (p1') = $8 per person
Initial price of roller skating (p2) = $5 per person
Updated price of roller skating (p2') = $4 per person
Initial budget (B) = $32
We can calculate the maximum quantities of movies and roller skating using the formula:
Q1 = (B / p1') - (p2' / p1') * Q2
Q2 = (B / p2') - (p1' / p2') * Q1
Let's substitute the given values into the formula:
Q1 = (32 / 8) - (4 / 8) * Q2
Q2 = (32 / 4) - (8 / 4) * Q1
Simplifying the equations, we get:
Q1 = 4 - 0.5 * Q2
Q2 = 8 - 2 * Q1
These equations represent Becky's new budget constraint, considering the updated prices of movies and roller skating.
ill mark brainlyist!!!!
I've been riding for 12 miles on a bike course. The course is 40 miles long. What percentage of the course of the course have I rode.
Answer: 30%
Step-by-step explanation:
First, we will put completed over the total.
\(\frac{12}{40}\)
Now, we will divide.
0.3
Lastly, we will multiply by 100 to turn it into a percent.
0.3 * 100 = 30%
You have ridden 30% of the course.
The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 3 to 5. If there were 4465 no votes, what was the total number of votes?
Answer:
2679 number of yes votes, 4465 number of yes votes. The total number of votes would be 7144. Hope this helps and if possible mark me as brainliest please. THANK YOU
The rectangular floor of a classroom is 30 feet in length and 20 feet in width. A scale drawing of the floor has a length of 15 inches. What is the area, in square inches, of the floor in the scale drawing?
HURRY PLEASEEEEEEEE
The area of the floor in the scale drawing will be equal to 150 in².
What is the area?An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
As per the given information in the question,
Length of the classroom, l = 30 feet and,
The width of the classroom, w = 20 feet.
As per the scale drawing, the length of the classroom, l' = 15 feet
Let the scale width, w' = x feet
As we can see that the original length is twice the scale drawing.
Then, the original width also is twice the scale drawing.
So, w' = 20/2 = 10 feet.
Now, the area of the floor in the scale drawing will be,
A = wl
A = (15)(10)
A = 150 in².
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Use the drop-down menus to complete each question so the statement about its solution is true.
Step-by-step explanation:
• no solution:
3x+9+4x+x = 8x + 9
• one solution:
3x+9+4x+x = 7x + 11
• infinitely many solutions:
3x+9+4x+x = 8x + 11
y = 4x2 + 5x + 5
y = 3x2 – 2x - 5
Answer:
x=-2
Step-by-step explanation:
8+5+5x=6-2x-5
5x+2x=6-5-5-8
7X=-14
x=-2
Translate the equation into a sentence. 3p + 8 = 20
Answer:
Three times p plus eight equals twenty
Step-by-step explanation:
To start, the + sign is just read as plus, and the = sign is just equals.
3p refers to three times p, and the numbers 8 and 20 are just read as eight and twenty.
So, we now have three times p plus eight equals twenty.
find the area of the region bounded by the given curves. y = 2x2 ln x, y = 8 ln x
The area of the region bounded by the curves y = 2x^2 ln x and y = 8 ln x can be found by integrating the difference between the two functions over the appropriate interval.
To find the points of intersection between the two curves, we set them equal to each other:
2x^2 ln x = 8 ln x
2x^2 = 8
x^2 = 4
x = ±2
Since ln x is only defined for positive values of x, we consider the interval [2, e^2] where e is the base of the natural logarithm.
To calculate the area, we integrate the difference between the two functions over this interval:
Area = ∫[2, e^2] (8 ln x - 2x^2 ln x) dx
Simplifying the integrand, we have:
Area = ∫[2, e^2] 2 ln x (4 - x^2) dx
By evaluating this integral, we can find the area of the region bounded by the given curves.
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pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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The ages of rocks in an isolated area are known to be approximately normally distributed with a mean of 7 years and a standard deviation of 1.8 years. What percent of rocks are between 5.8 and 7.3 years old?
Answer: 31.39%
Step-by-step explanation:
Given: The ages of rocks in an isolated area are known to be approximately normally distributed with a mean of 7 years and a standard deviation of 1.8 years.
i.e. \(\mu = 7 \ \ \ \ \sigma= 1.8\)
Let X be the age of rocks in an isolated area .
Then, the probability that rocks are between 5.8 and 7.3 years old :
\(P(5.8<X<7.3)=P(\dfrac{5.8-7}{1.8}<\dfrac{X-\mu}{\sigma}<\dfrac{7.3-7}{1.8})\\\\=P(-0.667<Z<0.167)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<0.167)-P(z<-0.667)\\\\=P(Z<0.167)-(1-P(z<0.667))\\\\=0.5663-(1-0.7476)\\\\=0.3139\)
\(=31.39\%\)
Hence, the percent of rocks are between 5.8 and 7.3 years old = 31.39%
Suppose there are two samples from populations A and B. The sample from population A is of size 18 and the sample from population B is of size 21. The sample from population A has a sample variance of 8490 and the sample from population B has a sample variance of 6330. Find the pooled sample variance.
Round your answer to 2 decimal places.
The pooled sample variance, rounded to 2 decimal places, is 7,316.22.
To find the pooled sample variance of the two samples from populations A and B, follow these steps,
1. Calculate the weighted variance for each sample:
- For sample A: (Sample size A - 1) * Sample variance A = (18 - 1) * 8490 = 17 * 8490 = 144,330
- For sample B: (Sample size B - 1) * Sample variance B = (21 - 1) * 6330 = 20 * 6330 = 126,600
2. Calculate the total degrees of freedom:
- Total degrees of freedom = (Sample size A - 1) + (Sample size B - 1) = 17 + 20 = 37
3. Calculate the pooled sample variance:
- Pooled sample variance = (Weighted variance A + Weighted variance B) / Total degrees of freedom = (144,330 + 126,600) / 37 ≈ 7,316.22
The pooled sample variance, rounded to 2 decimal places, is 7,316.22.
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If someone could help me with these two problems please. ( will mark brainliest if correct )
Answer:
Q14 = 45
Q15 = 1.98
Step-by-step explanation:
Q14.
2t = 90 degrees (right angle)
(1) t = 45 (90 ÷ 2)
45 + 8 = 53
45 - 12 = 33
Q15.
43s = 85 degrees
s = 1.98 (85 ÷ 43)
Find x in this 45°-45°-90° triangle.
x=
Answer:
2.4
Step-by-step explanation:
Because it should be 2x your base
Answer:
1.2sqrt2 is ur answer
Step-by-step explanation: