Use the Venn diagram below. How many students play soccer and baseball, but not volleyball? How many play exactly two sports?
Soccer
Baseball
7
3
8
4
2
5
Volleyball
A 3; 12
B. 3: 14
C. 5:14

Answer:

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

[tex]y = \frac{32\sqrt 3}{3}[/tex]

Step-by-step explanation:

Calculating (x):

Here, we make use of the tan formula

[tex]tan\theta = \frac{Opp}{Adj}[/tex]

Where

[tex]\theta = 60[/tex]

[tex]Opp = 16[/tex]

[tex]Adj = x[/tex]

This gives:

[tex]tan\ 60= \frac{16}{x}[/tex]

Make x the subject

[tex]x = \frac{16}{tan\ 60}[/tex]

tan(60) in surd form is [tex]\sqrt{3}[/tex]

So:

[tex]x = \frac{16}{\sqrt{3}}[/tex]

Rationalize

[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x = \frac{16\sqrt{3}}{3}[/tex]

Calculating (y):

Here, we make use of the tan formula

[tex]sin\theta = \frac{Opp}{Hyp}[/tex]

Where

[tex]\theta = 60[/tex]

[tex]Opp = 16[/tex]

[tex]Hyp= y[/tex]

This gives:

[tex]sin\ 60= \frac{16}{y}[/tex]

Make y the subject

[tex]y= \frac{16}{sin\ 60}[/tex]

tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]

[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]

[tex]y = 16/\frac{\sqrt 3}{2}[/tex]

[tex]y = 16*\frac{2}{\sqrt 3}[/tex]

[tex]y = \frac{32}{\sqrt 3}[/tex]

Rationalize

[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]

[tex]y = \frac{32\sqrt 3}{3}[/tex]

the last one i think

Answer:

+20 bc 2x10= 20 so +20>20

Answer:

C: 25%

Step-by-step explanation:

1/4 = 0.25 = 25%

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

C

Step-by-step explanation:

1 divided by 4 is .25, move the decimal over two points and you get 25%.

Answer:

I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps

Step-by-step explanation:

Answer:

an equation is equivalent to x+8=21 is 13

Step-by-step explanation:

21-8 would equal 13 that how you find the missing variable

Answer:

$3250

Step-by-step explanation:

10% of 32500 = 3250

3250 x 12 months = $39,000

Answer:

325  i just did a test and this is the answer

Step-by-step explanation:

Your monthly income is your annual income divided by 12:

= $3,250.

You are investing 10% of $3,250.

Convert 10% to decimal form:

10% = 0.10.

$3,250 × 0.10 = $325

Answer:

9/12 + 1/4 = 12/12 or 1

so the answer is A

Step-by-step explanation:

Answer:

regular parabola but shifted up 3 on the y axis

Step-by-step explanation:

Answer:

a dealership may offer a cheaper price to a customer for a vehicle so it can meet a sales target and earn an incentive.

Step-by-step explanation:

Answer:

Margret, Jay, and Andi each have a sticker collection. Jay has 34 stickers. Margret has 3 times as many stickers as Andi. Andi has 9 more stickers than Jay. How many stickers does Margret have?

How to solve:

a = andi's stickers

j = jay's stickers (34)

m = margret's stickers

9 + j = a    or    9 + 34 = 43

so a = 43

a x 3 = m    or    43 x 3 = 129

m = 129

Margret has 129 stickers

Answer:

1.790109879E17 hahahahaha

Step-by-step explanation:

Answer:

1.7901099e+17 = 18.7901099

MWHAHAHAHA

Answer:

the answer is 30

Step-by-step explanation:

they all go into 30 some how

Answer:

D

Step-by-step explanation:

Slope is negative, derivative of x shows that -3 is the maximum in C/D but C is not negative

The function F(x) = -3(x + 3)^2 + 3.

The correct option is (D).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A variable y is said to be a function of the independent variable x if there is a relationship between them.

As per the given data:

We are given the equation of the functions G(x) and we have to find out the equation of the function F(x).

Equation of G(x) = x^2

For a left shift of 3 units x → x + 3.

⇒ y = (x + 3)^2

For a change in concavity, if the curve, multiply by -3.

⇒ y = -3(x + 3)^2

For an up shift of 3 units y → y -3.

⇒ y - 3 = -3(x + 3)^2

The function F(x) comes out to be:

F(x) = -3(x + 3)^2 + 3

Hence, The function F(x) = -3(x + 3)^2 + 3.

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Answer:

368.95

Step-by-step explanation:

⇒ Line up the decimal places to add the numbers:

  283.65

+   85.3

—————

⇒ 85.3 is the same as 85.30:

  1

  283.65

+   85.30

—————

  368.95

Answer: 368.95

Hope this helps! :)

Answer:

198.35

Step-by-step explanation:

283.65

085.3

_______________

198.35

Answer:

Step-by-step explanation:

32 out of 40 did not show

8 out of 40 did show

When you ask "What is 8 out of 40?" you want to know what percent 8 is out of 40.

Here are step-by-step instructions showing you how we calculated 8 out of 40 as a percentage:

The first step is to divide 8 by 40 to get the answer in decimal form:

8 / 40 = 0.2000

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.2000 * 100 = 20.00%

Answer:

20 %

Step-by-step explanation:

Answer:

I'm pretty sure it's 1,1.

Step-by-step explanation:

Answer:

(1,1)

Step-by-step explanation:

sub to pewdiepie

Answer:

560-39<275*2

Step-by-step explanation:

560-39=521

275*2=550

521<550

Answer:

<

Step-by-step explanation:

560 - 39 [ ] 275 × 2

We can evaluate the expressions first before deciding which sign to use.

521 [ ] 550

As you can see, the left side of the equation is smaller than the right side of the equation, so the sign should be <.

521 < 550

521 is smaller than 550.

Other signs and meanings:

> means the left side is bigger than the right side of the equation.

≤ means the left side is smaller than or equal to the right side of the equation.

≥ means the left side is bigger than or equal to the right side of the equation.

Answer:

Dequan walks 5 miles per day.

Step-by-step explanation:

So solve this problem, we just need to divide 20 miles by 4 days.

20 ÷ 4 = 5

Therefore, Dequan walks 5 miles per day.

Hope this helps! :D

Answer:

Your slope will be 2

Step-by-step explanation:

[tex]\frac{7-(-3)}{-6-(-11)}[/tex]= [tex]\frac{10}{5}[/tex]= 2

Answer:

Slope sides are;

5.07 m and 6.39 m

Step-by-step explanation:

I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.

From the image attached, the missing angle is θ.

From sum of angles in a triangle,

θ = 180 - (44 + 34)

θ = 102°

Now, a & b represent the slopes of the roof.

Thus, using law of sines which is that;

a/sin A = b/sin B = c/sin C, we can solve as follows;

a/sin 34 = 9/sin 102

a = (9 × sin 34)/sin 102

a = (9 × 0.5512)/0.9781

a = 5.07 m

b/sin 44 = 9/sin 102

b = (9 × sin 44)/sin 102

b = (9 × 0.6947)/0.9781

b = 6.39 m

a²b is the same thing as ba²

b and a are two separate variables lets pretend a is 2 and b is 3

2² * 3 = 4 * 3 = 12

3 * 2² = 3 * 4 = 12

this is the commutative property of multiplication

An expression is defined as a set of numbers, variables, and mathematical operations. The two of the given expressions a²b and ba² are the same.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two of the given expressions a²b and ba² are the same because if the two of the expressions are expanded then the value of the two expressions will be equal to each other.

Therefore, the two expressions are expanded as shown below,

a²b = a × a × b

ba² = b × a × a

Therefore, the two of the given expressions a²b and ba² are the same.

Learn more about Expression here:

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Answer:

x = -5

Step-by-step explanation:

Original equation:

2(2x - 7) = -34

Use distributive property

2 · 2x = 4x

2 · (-7) = -14

Plug these values back into the equation

4x - 14 = -34

Add 14 to both sides

4x = -20

Divide both sides by 4

x = -5

Hope this helps :)

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If you add x gal of the 18% mixture, each gallon adds 0.18 gal of salt, so x gal would add 0.18x gal of salt.

The 15 gal of 2% salt mixture already contains 0.02 (15 gal) = 0.3 gal of salt.

The total volume of the new mixture would be (15 + x) gal. To achieve a 7% concentration of salt, you would need to add x gal of the 18% mixture such that

(amount of salt) / (total volume) = (0.3 + 0.18x) / (15 + x) = 0.07

Solve for x :

0.3 + 0.18x = 0.07 (15 + x)

0.3 + 0.18x = 1.05 + 0.07x

0.11x = 0.75

x = 0.75 / 0.11 ≈ 6.82 gal

Answer:

Part A: A. 7.50 x b

Part B: $90

Step-by-step explanation:

Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.

Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.

Answer:

m<C = 66°

Step-by-step explanation:

Perpendicular bisector, AB divides angle CAD into two equal parts. Therefore:

(5x + 9)° = (7x + 3)°

Solve for x

5x + 9 = 7x + 3

Collect like terms

5x - 7x = -9 + 3

-2x = -6

Divide both sides by -2

x = 3

✔️m<C + m<CBA + m<BAC = 180° (sum of triangle)

m<C + 90° + (7x + 3)° = 180 (substitution)

Plug in the value of x and solve

m<C + 90 + 7(3) + 3 = 180

m<C + 90 + 21 + 3 = 180

m<C + 114 = 180

m<C = 180 - 114 (Subtraction property of equality)

m<C = 66°

“The answer is C. Divide 252/2 to get one width plus one length. Then, divide by seven parts, 3 for the width and 4 for the length. It is 18. Multiply for 3 because of 3/4 and you get 54.“

Answer:

Step-by-step explanation:

lateral area=πr²h=π×3²×6=54π sq. yards

surface area=2πr²+πr²h=2π×3²+54π=18π+54π=72π sq. yards

Answer:

1.14285714286 ounces per person

Step-by-step explaination:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate

following this rule, 8 divided by 7 is 1.14285714286

Your assignment will probably ask you to simplify