An opera singer teaches singing classes to teens. She teaches 96 teens in all. One-third of her
students are boys. How many boys are in the singing?

Answer:

11.) 135°   12.) 45°

Step-by-step explanation:

11.) When finding one interior angle, you will have to first find the sum of the interior angle using the formula:

Sum of interior angle = ( n - 2 ) 180° where "n" is the number of sides of that shape. So the working will be:

( 8 - 2 ) 180°

= 6 x 180°

Sum of interior angle = 1080°

To find the angle of one interior angle, divide it by the number of sides of that shape.

1080° ÷ 8 = 135°

∴ The measure of one interior angle is 135°

12.) To find the exterior angle, use the formula:

Exterior angle = 360° ÷ n where "n" is the number of sides of that shape. So the working will be:

360° ÷ 8 = 45°

∴ The measure of one exterior angle is 45°

Extra: You can check if the answer is correct by multiplying the answer you got for the exterior angle with the number of sides and that should give you 360°.

Answer:

1.5

Step-by-step explanation:

Answer:

9.5 cups

Step-by-step explanation:

Answer:

Can I get brainliest

Step-by-step explanation:

A= -3x+3

B= 4x+6

C= -8x-8

D= 3x+1

Answer:

Here you go, I hope my hand writing is clear :D

The final answer is 4 hours longer

Answer:

Step-by-step explanation:

I’m just a beginner mate but I know for a fact just match the graph and you’ll get the answer

Given that,

Four roommates share the cost of an apartment: rent, electricity, and gas. Rent costs $1200/month and gas costs $50/month. Each roommate pays $345/month.

To find,

The electric bill per month.

Solution,

Bill of each roommates = $1200+$500+E, E is electricity bill

Total bill = $345/month

Bill of each roommates = 4($1200+$500+E), E is electricity bill

ATQ,

4($1200+$500+E) = $345

So, the correct option is (c).

9514 1404 393

Answer:

  330

Step-by-step explanation:

nCk can be computed from the formula ...

  nCk = C(n, k) = n!/(k!(n-k)!)

Here, that is

  11C7 = 11!/(7!(11-7)!) = 11·10·9·8/(4·3·2·1) = 11·10·3 = 330

_____

Additional comment

Many graphing or scientific calculators have probability functions that will compute this for you.

Answer:

the  price sold per kg to earn a profit of 20% is 7.2 kg

Step-by-step explanation:

The computation of the price sold per kg to earn a profit of 20% is shown below:

But before that the normal price per kg is

= 5.4  per kg × 100 ÷ 90

= 6 per kg

Now for 20% profit, the price per kg is

= 6 × (1 + 0.20)

= 6 + 1.2

= 7.2 kg

hence, the  price sold per kg to earn a profit of 20% is 7.2 kg

Answer:

Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²

Dimensions; X = 250 ft and Y = 500/3 ft

Step-by-step explanation:

Given the data in the question;

2x + 3y = 1000 -------- EQU 1

2x = 1000 - 3y

x = 500 - 3y/2

AREA = x × y = (500 - 3y/2)y

= 500y - 3/2y²

dA/dxy = 500 - 3y = 0

3y = 500

y = 500/3

so from equ 1

2x + 3(500/3) = 1000

2x = 1000 - 500

x = 250

So; Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²

Dimensions; X = 250 ft and Y = 500/3 ft

Answer:

Step-by-step explanation:

Option: 5

5(c + 6)

5(5 + 6) = 5(11) = 55

Option: 6

5(c + 6)

5(6 + 6) = 5(12) = 60

Option: 30

5(c + 6)

5(30 + 6) = 5(36) = 180

Option: 36

5(c + 6)

5(36 + 6) = 5(42) = 210

Hope this helped! If I understood the question wrong, please let me know! <3

Answer:

a

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Write an algebraic equation to find the answer. Let x equal the unknown number.  

We know that 11 must be subtracted from the quotient of the number and five. A quotient is the term used to describe a result from division - so the part "the quotient of the number and five" must be [tex]\frac{x}{5}[/tex]. Also, 11 needs to be subtracted from it - so this gives us [tex]\frac{x}{5} -11[/tex]. Finally, it's given that the expression gives a result of -4. So, the algebraic equation must be [tex]\frac{x}{5} -11 = -4[/tex].

To find the answer, let's isolate x:

[tex]\frac{x}{5} -11 = -4\\\frac{x}{5} = 7\\x = 35[/tex]

Therefore, the number must be 35.

Answer:

I think answer is 32 blankets. 2 days will it takes

Answer:

80

Step-by-step explanation:

Answer:

36 customers, 6 guides

Step-by-step explanation:

Given: We know that the total number of guides and customers combined is 42 people, and the ratio of customers to guides is 6/1 (Every 6 customers, there's 1 guide)

So how do we solve this?

One way you can solve this is by making a column. On one side, you put 6, and on the other, you put 1.

Here's an example (obviously, making a column with a keyboard is quite difficult):

6 | 1

What's 6+1?

7.

Now, we need to figure out how many groups of 7 can go into 42.

We can figure that out by dividing 42/7, which gives you 6.

So now let's go back to that column:

6 | 1

Since we know 6+1=7, we can make 6 rows of it:

6 | 1

6 | 1

6 | 1

6 | 1

6 | 1

6 | 1

We know that on the column 6 represents the customers, and 1 represents the guides. So, all we have to do left is either add or multiply (whichever you prefer). I'll show both ways:

Multiplying

We can multiply 6x6 for the left column to get 36. That's how many customers we have. And for the guides, we can multiply 6x1 and get 6. So now we know we have 36 customers and 6 guides.

Adding

On the left side of the column, we have six rows of 6. In order to figure out the amount of customers, all we need to do is add 6 six times. It should be like this:

6+6+6+6+6+6=36

To figure out the guides, we do the same thing, but instead of adding 6 six times, it's 1. (Hopefully for this, you won't need to rely on repeated addition. It's a lot easier to count for 1)

1+1+1+1+1+1=6

So now we know there are 36 customers and 6 guides.

Answer:

Step-by-step explanation:

Original Equation:

-5(-4y - w + 3)

Multiply -5 by -4y

20y

Multiply -5 by -w

5w

Multiply -5 by 3

-15

Plug these values back into the equation

20y + 5w - 15

Hope this helps :)

The distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The equation is given;

⇒-5(-4y - w + 3)

Step 1;

Multiply -5 by -4y

⇒-5×-4y

⇒20y

Multiply -5 by -w

⇒-5 ×- w

⇒5w

Multiply -5 by 3

⇒-5 × 3

⇒-15

Replenish the equation with these values

20y + 5w - 15

Hence,the distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ2

Answer: 7.1 feet is the answer

Answer:

shift 4 units to right and 5 units up

Step-by-step explanation:

Answer:

shift 4 units to right and 5 units up

Step-by-step explanation:

Answer:

k = 2

Step-by-step explanation:

Given

5x² - kx + 40

Solution: ⅘

Required

Find k

If the solution is ⅘, then

5x² - kx + 40 = 0 where x = ⅘

Substitute ⅘ for x

5(⅘)² - k(⅘) + 40 = 0

5(16/25) - k(4/5) + 40 = 0

Multiply through by 25

5(16) - 5 * k(4) + 40 = 0

80 - 20k + 40 = 0

Collect like terms

-20k = 0 - 80 + 40

-20k = -40

Divide both sides by-20

k = 2

Answer:

Building B is about 1416.9 feet tall.

Step-by-step explanation:

Set up the following proportion:

[tex]\frac{879}{67}[/tex] = [tex]\frac{x}{108}[/tex]

Cross multiply.

879 x 108 = 94932

67 x x = 67x

67x = 94932

Divide by 67 on both sides.

x = 1416.9

I hope this helps!

Answer:

1 and 2: Parallel; 1 and 3: Neither; 2 and 3: Neither

Step-by-step explanation:

2 lines are parallel if they have the same slope. 2 lines are perpendicular if they have the opposite reciprocal slope.

Answer:

That is the number two (2)

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

3:8

Step-by-step explanation:

So un-simplified the ratio is 30:80, but because that's not an option, we can simplify it by dividing both values by 10 and get D) 3:8. I hope this helps

Answer:

here is a graph from Desmos

Step-by-step explanation:

Answer:

m∠2 is correct, m∠1 is 85°

Step-by-step explanation:

Since, you already gave the angle for ∠2 in which it is vertical to the one shown, m∠1 must be 85° since you are finding the left angle to make a straight line of 180°