On a team, 7 girls and 2 boys scored a total of 46 points. The difference between the number of points scored by the 7 girls and the number of points scored by the
2 boys is 38. Each girl scored the same number of points and each boy scored the same number points. Find the number of points scored by each girl and each
boy

Answer: $70,741

Step-by-step explanation:

18 percent more means that he's making 100 percent of his prior salary+ an additional 18 percent of his prior salary.

The mathematical representation of this: 1.18*59,950

That's how you get the new and improved annual salary ;)

Answer:

slope measures the rate of change in the dependent variable as the independent variable changes

Step-by-step explanation:

i don't know hope it helps a little

Answer:

8

Step-by-step explanation:

24 dividing by 3 equals 8.

The number of vanilla cupcakes at the party will be 8.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that at a party, the ratio of chocolate cupcakes to vanilla cupcakes is 4 to 3. If there are 24 chocolate cupcakes.

The number of cupcakes will be calculated as:-

4 / 3 = 24 / V

V = ( 24 x 3 ) / 4

V = 18

Hence, the quantity of vanilla cups is 18.

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Answer:

78/100 i dk hope it helps soo sory if its wrong if its wrong use slader itlll give answers to your textbook cuz it looks like your using one

Step-by-step explanation:

Answer:

9240ft per second

(105mi/1hr * 5280ft/1mi * 1hr/60sec)

Step-by-step explanation:

Answer: He can buy 5 restaurant gift cards and 7 movie gift cards

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

use SOH, CAH, TOA

adjacent and opposite given so use TOA

tan(θ)=opposite/adjacent

tan(54)=x/8

x=11

Answer:

Any number 5 and below

Step-by-step explanation:

We are given the expression that the difference between a number and 3 is no more than 2. Break down the expression and spot the key word of "difference," therefore meaning that the unknown number "x" and 3 is equal or less than 2. We can create the algebraic expression of x - 3, now since the answer must equal 2 or below 2, we can create the inequality :

x - 3 ≤ 2

Now the only numbers that are allowed to be inputted here is 5 and below.

The solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.

Let us denote the number as "x," we can express the given statement as an inequality:

|x - 3| ≤ 2

This inequality states that the absolute value of the difference between x and 3 is less than or equal to 2.

If x - 3 ≥ 0 (x ≥ 3)

In this case, the absolute value can be removed:

x - 3 ≤ 2

x ≤ 2 + 3

x ≤ 5

and if x - 3 < 0 (x < 3)

The absolute value becomes negative:

-(x - 3) ≤ 2

x + 3 ≤ 2

x ≤ 2 - 3

x ≤ -1

x ≥ 1

Combining the results from both cases, we have:

x ≤ 5 or x ≥ 1

Therefore, the solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.

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Answer:

I think the answer might be 700.

Step-by-step explanation:

If you divide 1,750 and 5 it equals 350. Then I multiplied the 2 by 350. That got me 700. Hope this helps!

Answer:

i believe that would be 5t-8

Step-by-step explanation:

hopefully this helps :)

have a nice day !!

**please let me know if this was wrong**

Answer: 142.82

Step-by-step explanation:

To be able to avoid the banking fees, you will need to deposit extra

500-357.18=142.82 in your bank account

Answer:

C I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Quarterly

Step-by-step explanation:

Answer: Radius is always half of the diameter so the answer is 5

Step-by-step explanation:

Answer:7

Step-by-step explanation:

43 - 9 bc the sandwitch and then divde that number by 5

Answer:

Step-by-step explanation:

A=5(8)+5(8)

A=40+40

A=80in^2

Answer:

well I don't know how you learn this, but if the sign doesn't have a line underneath then its an open circle other than that great job!

Step-by-step explanation:

make 2,3,6,7 open circle if you can then they will all be right

Answer:

The 3rd and 6th

Step-by-step explanation:

Make a system of equations, try to solve, and then see which statements apply.

let x be the cost of a DVD and y be the cost of a video game

Then you would have:

2x + y = 12

4x + 2y = 24

from turning the words into equations.

Now, solve:

first, multiply the first equation by 2

2x + y = 12 --> 4x + 2y = 24

Then, subtract the two equations:

4x + 2y = 24

- (4x + 2y = 24)

0 = 0

Since you have a number = a number, there are infinite solutions.

Go through the options they give you and see which ones are correct

o The system of linear equations that represents this situation has one solution

Not true, there are infinite

o The system of linear equations that represents the situation has no solution.

Not true

o The system of linear equations that represents the situation has infinitely many solutions.

True

o The DVD rentals cost more than video game rentals

Unknown, it could cost more but it can also cost less so this is not true

o The video rentals cost more than the DVD rentals

Unknown for the same reason

o You cannot determine the cost of video game rentals or DVDs.

True

Answer:

The average rate of change is 2.

Step-by-step explanation:

We are given the function:

[tex]g(x)=-x^2+x+5[/tex]

And we want to find the average rate of change over the interval:

[tex]-4\leq x\leq 3[/tex]

The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.

Our first endpoint is given by:

[tex]g(-4)=-(-4)^2+(-4)+5=-15[/tex]

And our second endpoint is given by:

[tex]g(3)=-(3)^2+(3)+5=-1[/tex]

This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:

[tex]\displaystyle ARC=\frac{-1-(-15)}{3-(-4)}=\frac{14}{7}=2[/tex]

The average rate of change is 2.

Answer: 5.22

Step-by-step explanation:

Given

[tex]\angle A=103^{\circ}[/tex]

Sine law is    [tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\\[/tex]

Here, a=8, c=5

Putting values

[tex]\Rightarrow \dfrac{8}{\sin 103}=\dfrac{5}{\sin C}\\\\\Rightarrow \sin C=\dfrac{5}{8}\sin 103^{\circ}=0.6089\\\Rightarrow C=37.51^{\circ}[/tex]

[tex]\Rightarrow \angle B=180^{\circ} -103^{\circ}-37.51^{\circ}\\\Rightarrow \angle B=39.49^{\circ}[/tex]

If b=m, then

[tex]\Rightarrow \dfrac{8}{\sin 103^{\circ}}=\dfrac{m}{\sin 39.49^{\circ}}\\\\\Rightarrow m=\dfrac{\sin 39.49^{\circ}}{\sin 103^{\circ}}\times 8=5.22[/tex]

Answer:

P = 9

Step-by-step explanation:

Answer:

d. 22

Step-by-step explanation:

(PQ + QR) × QR = (TS + SR) × SR => two secants intersecting theorem

PQ = ?

QR = 2

TS = 8

SR = 4

Plug in the values

(PQ + 2) × 2 = (8 + 4) × 4

2PQ + 4 = 12 × 4

2PQ + 4 = 48

2PQ + 4 - 4 = 48 - 4

2PQ = 44

2PQ/2 = 44/2

PQ = 22

Answer:

2000mL=2L

Step-by-step explanation:

Answer:

0.367 = 36.7% probability that the student gets fewer than 2 questions correct

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he guesses the correct answer, or he does not. The probability of guessing the correct answer on a question is independent of any other question. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

8 questions on it

This means that [tex]n = 8[/tex]

4 choices.

One of them is correct, which means that [tex]\pi = \frac{1}{4} = 0.25[/tex]

What is the probability that the student gets fewer than 2 questions correct?

This is

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.25)^{0}.(0.75)^{8} = 0.1[/tex]

[tex]P(X = 1) = C_{8,1}.(0.25)^{1}.(0.75)^{7} = 0.267[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.267 = 0.367[/tex]

0.367 = 36.7% probability that the student gets fewer than 2 questions correct

Answer:

A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly guesses an answer to each question.

What is the probability that the student gets fewer than 2 questions correct?

Round to 3 decimal places.

0.367

Step-by-step explanation:

Answer:

27.02% of boys aged 16 to 17 will not be able find shoes that fit in this​ store

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.

This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]

These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this​ store?

Less than 24.6:

The proportion is the pvalue of Z when X = 24.6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]

[tex]Z = -0.64[/tex]

[tex]Z = -0.64[/tex] has a pvalue of 0.2611

More than 28.8:

The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]

[tex]Z = 2.36[/tex]

[tex]Z = 2.36[/tex] has a pvalue of 0.9909

1 - 0.9909 = 0.0091

0.2611 + 0.0091 = 0.2702

0.2702*100% = 27.02%

27.02% of boys aged 16 to 17 will not be able find shoes that fit in this​ store

Answer:

Step-by-step explanation: