Xin recorded the grade-level and instrument of everyone in the middle school School of Rock below.

1.

Since there are 23 students in total, and 8 of them play neither sport, then the remaining 15 must play either sport. Therefore, there are [tex]11+13-15=9[/tex] students who play both sports.

[tex]A[/tex] — choosing a student who plays both sports

[tex]|\Omega|=23\\|A|=9\\\\P(A)=\dfrac{9}{23}[/tex]

2.

[tex]A[/tex] — drawing three marbles that are blue

[tex]6+5+4=15[/tex] — the number of all marbles

[tex]\displaystyle\\|\Omega|=\binom{15}{3}=\dfrac{15!}{3!12!}=\dfrac{13\cdot14\cdot15}{2\cdot3}=455\\|A|=\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdot5}{2}=10\\\\P(A)=\dfrac{10}{455}=\dfrac{2}{91}[/tex]

Answer:

The greatest common factor of 48, 64, and 100 is 8. This means that Diego can put 8 chocolate chip cookies, 8 vanilla cookies, and 8 raisin cookies in each bag. He will have a total of 48/8 = 6 bags of cookies.

Step-by-step explanation:

Answer:

I think no...

Step-by-step explanation:

I kinda rushed so im not 100 percent sure also bc I'm not sure if this question is written as the exact problem but i got this because for every foot you csn only have one inch of rise which is 6 inches if you look at the RUN.

Answer:

First, we need to convert the lengths of the run and rise to inches. 6 ft 8 in. is equal to 72 + 8 = 80 in. and 2 ft 9 in. is equal to 24 + 9 = 33 in.

The guidelines state that the ramp should have a maximum of 1 in. of rise for every 12 in. of run. So, if the ramp has a run of 80 in., the maximum rise should be 80/12 = 6.67 in.

The ramp at the left has a rise of 33 in., which is greater than the maximum of 6.67 in. Therefore, the ramp does not meet the guidelines.

Is there anything else I can help you with?

Step-by-step explanation:

The correct statements regarding the fraction n/50 are given as follows:

D: the quotient of a number and fifty.

E: a number divided by fifty.

A fraction is represented by the division of a term x by a term y, as follows:

Fraction = x/y.

The terms that represent x and y are given as follows:

The fraction for this problem is given as follows:

n/50.

Meaning that we are dividing an unknown number n by 50, hence statements D and E are correct.

The options are given as follows:

A: the quotient of fifty and a number

B: the product of a number and fifty

C: the difference of a number and fifty

D: the quotient of a number and fifty

E: a number divided by fifty

More can be learned about fractions at brainly.com/question/1622425

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Answer:

The phrase 50/n could represent the following:

n out of 50

n per 50

n divided by 50

n as a fraction of 50

n out of every 50

n in every 50

Is there anything else I can help you with?

Step-by-step explanation:

Adrian's car travels 15.3 miles less on one gallon of gas than Caroline's car.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

Caroline's equation is given as follows:

y = 44x.

Hence her car travels 44 miles on a gallon of gas.

Adrian's constant is given as follows:

k = 143.5/5 = 287/10 = 28.7.

Hence his car travels 28.7 miles on a gallon of gas.

Hence the difference is given as follows:

44 - 28.7 = 15.3 miles.

More can be learned about proportional relationships at https://brainly.com/question/7723640

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Answer:

the second one

Step-by-step explanation:

Answer: Nina

Step-by-step explanation: I would have done 104 ÷ 8 but Nina probably did trail and error to get 13.

Answer:

Step-by-step explanationI would have done 104 ÷ 8 but Nina probably did trail and error to get 13.

:

Answer:

It Will Take 1.25 For One Table

Step-by-step explanation:

If You Do 10 / 8 It Equals 1.25 Therefore That Is Your Answer

Answer: I think the answer is 18.0 for m

Step-by-step explanation:

I can't really explain it but I hope it works

Answer:

7^10 is the answer

Step-by-step explanation:

you just subtract exponents

Answer: The answer is 7^10

Step-by-step explanation:

7^15/7^5 evaluated is 282475249

After evaluating 7^15/7^5 we could then use the process of elimination

- 7^3 = 343

- 7^10 = 282475249

- 7^20 = 1341068619663960000000

and 7^75 = 2.41186503 * 20^63

So, the answer is 7^10

Answer:

78 3/4 yd³

Step-by-step explanation:

V = LWH

V = (4 1/2 yd)(7 yd)(2 1/2 yd)

V = 9/2 × 7/1 × 5/2 yd³

V = 315/4 yd³

V = 78 3/4 yd³

Answer:

I believe it's 6, I'm super sorry if I'm wrong.

Step-by-step explanation:

I really hope this helps you!

Answer: 1.02

Step-by-step explanation:

V=whl=0.8·3.2·0.4≈1.024

Answer: v=1.024

Step-by-step explanation: To find volume you use the formula v=l*w*h in this case l=0.4, w=0.8, and h=3.2. Multiplying those values gives you 1.024.

Answer:

Boxes 1,2,4

those are the right answers

Answer:

f(x)=−(x+1)2+2g(x)=1/2

Answer:

Answer A

Step-by-step explanation:

180° = 84° + (x + 46)°

(x + 46)°= 180° - 84°

x = 180° - 84° - 46° = 50°

(2x + 31)° = 131°

which means the next angle to it equals 180° - 131° = 49°

and as we know if we add up a triangle's angles it equals 180°

so the last unknown one is 180° - 84° - 49° = 47°

then a° = 180° - 47° = 133°

Answer:

A) 133°

Step-by-step explanation:

First, we solve for x.

84+x+46=180

130+x=180

x=50

Now, we plug that into 2x+31

2(50)+31=131

Then, 180-131 gives us an interior angle of 49.

Now we have two interior angles and can solve for the third.

180-84-49=47

Then we can find a by subtracting that from 180

180-47=133

Answer: 5/22

Step-by-step explanation:

simplify at the end

Answer:

the answer is 11/26

Step-by-step explanation:

The Probability that draw results in a wild card 11/26.

What is Probability?

Probability is possibility deals that "occurrence chance random event".

According to the question,

Let 'X' be the random variable drawing wild card.

Number of cards in a deck = 104

From one replacement we get 44 cards

Formula for Probability P(E) =

= = =

P(E) = .

Hence, The Probability that draw results in a wild card 11/26.

Learn more about Probability here

To evaluate the expression 7 - (-7), we can simplify it step by step:

Step 1: Simplify the expression inside the parentheses.

-(-7) = 7

Step 2: Substitute the simplified expression back into the original expression.

7 - (-7) = 7 - 7

Now, let's analyze the given statements:

The expression equals 0.

False. The expression 7 - 7 does not equal 0. It equals 0 when multiplied by (-7), but in this case, the multiplication is not part of the expression.

The expression equals 14.

False. The expression 7 - 7 equals 0, not 14.

The expression is equal to the absolute value of 7.

False. The absolute value of 7 is 7, but the expression 7 - 7 is 0, not 7.

The expression is equal to the opposite of 7.

False. The opposite of 7 is -7, but the expression 7 - 7 is 0, not -7.

Therefore, none of the given statements are true about the expression 7 - (-7).

Hello !

Answer:

[tex]\Large\boxed{\sf m=-\frac{1}{3} }[/tex]

Step-by-step explanation:

The slope of a line that passes through two points is given by the following formula :

[tex]\sf m=\frac{y_B-y_A}{x_B-x_A}[/tex]

Where [tex]\sf A(x_A,y_A)[/tex] and [tex]\sf B(x_B,y_B)[/tex].

Given :

Let's calculate the slope with the previous formula :

[tex]\sf m=\frac{2-3}{-4-(-7)} \\\boxed{\sf m=-\frac{1}{3} }[/tex]

Have a nice day ;)

Answer:

The 4th option, (-2)(-2)(-2)

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-2x-3=4x-15

add 2x to each side

-3=6x-15

add 15 to each side

12=6x

divide each side by 6 to get x alone

2=x

Answer:

Step-by-step explanation:

5.1 2

Answer: 5^12

Step-by-step explanation:

Multiply the exponents to get 12. You could also solve all of the answer choices if unsure of your answer and pick the one that is equal to (5^6)^2

Answer:

200,364,163 x 50,987 = 102,159,676,348,181.

This is equal to 1.02159676348181 x 10^13.

Step-by-step explanation:

Answer: 35 oranges

Step-by-step explanation:

if one cup if 5 oranges then 5 oranges times 7 is 35

Answer:

Box A's volume is 384.75 cm^3 and Box B's volume is 295.75 cm^3. Box A's volume is greater than Box B's volume.

Step-by-step explanation:

This is a rectangular prism given that the box has different lengths.

Stated dimensions for each box,

Box A:

Length = 13 1/2 (13.5) cm

Width = 3 cm

Height = 9 1/2 (9.5) cm

Box B:

Length = 14 cm

Width = 3 1/4 (3.25) cm

Height = 6 1/2 (6.5) cm

All we have to do, is find the volume of each box, compare them to each other, and determine which volume in which box is the greatest.

Now, in order to find the volume of a rectangular prism, use the formula:

V = L · W · H

Where "L" represents length, "W" stands for width, and "H" represents height.

Given all of these values from the box's dimensions, we only have to plug it in this formula to find the volume.

Let's find Box A's volume:

V = L · W · H

Substitute values:

V = 13.5 · 3 · 9.5

V = 40.5 · 9.5

V = 384.75

Let's find Box B's volume:

V = L · W · H

V = 14 · 3.25 · 6.5

V = 45.5 · 6.5

V = 295.75

Compare the two values to see which is the greatest:

384.75 __ 295.75

384.75 > 295.75, Box A's volume is greater.

Now we know that Box A's volume is 384.75 cm^3 and Box B's volume is 295.75 cm^3. Box A's volume is greater than Box B's volume.

Answer:

(C) x = 56

Step-by-step explanation:

To find the value of x, we first need to find the measure of its supplement, or the angle which, when added to x°, results in 180°, or a straight line.

We can find the measure of its supplement by using the fact that the measures of the interior angles of a triangle add to 180°.

Hence, we can form the following equation to solve for the measure of the supplement.

37° + 19° + s° = 180°

s° = 124°

Now, we can subtract the measure of the supplement from 180° to get x°.

x° = 180° - 124°

x° = 56°

We can cancel the degrees on both sides of this equation to solve for x.

(C) x = 56

Answer:

The team that has the largest overall size hat for their players is the Seahawks; they have a larger mean value of about 23 inches. The correct option is C.

Step-by-step explanation:

What is the mean and median?

The two most frequently used measures of center are mean and median. When we compare the mean numbers for the Falcons and Seahawks, we can see that the Falcons have a mean of roughly 22 inches and the Seahawks have a mean of roughly 23 inches.

Nevertheless, when the data is skewed or contains outliers, the mean may not be the best approximation of the center because the mean can be altered by extreme values or outliers. Thus, we also need to compare the median values. The median is the midway value in the ordered set of data.

Thus, the correct option is C, Seahawks; they have a larger mean value of about 23 inches.