The cast of the play had a party. The drama teacher served 20 cookies and 40 carrot sticks as refreshments. Each cast member ate the same number of whole cookies and the same number of carrot sticks. Nothing was leftover. The drama teacher did not eat. How many cast members must have been at the party?

Answer:

Step-by-step explanation:

3x+10 + 3x -28 = 180

3x + 3x = 180 + 28 - 10

6x = 198

x = 198/6

x = 33

Answer:

33

Step-by-step explanation:

By the same side interior angle theorem, we can find that 3x + 10 and 3x - 28 are supplementary. Knowing this, we can make the equation:

(3x + 10) + (3x - 28) = 180

Now we can solve for x. Combine like terms.

6x - 18 = 180

Add 18 from both sides.

6x = 198

Divide both sides by 6.

x = 33

So the value of x would be 33.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

7/16 of a yard

Step-by-step explanation:

Let's put the boards to the same denominator so it's easier.

Let's go with a denominator of 16

1/4= 4/16

7/8= 14/16

3/16 stays the same.

So, 4/16+3/16+x=14/16

7/16+x=14/16

x=7/16 of a yard, the length of the 3rd board.

Answer:2.7 - 1.50 = 1.2(2-1)

Answer:

129.6 is the answer

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

you have to make 1/4 a reciprocal

3/4 times 4/1

=3

Answer:

3

Step-by-step explanation:

Step 1:

3/4 × 1/4         Equation

Step 2:

3/4 × 4/1      Flip Fraction

Step 3:

3/1 = 3       Multiply

Answer:

3

Hope This Helps :)

Answer:

He can get 60 dvds

Step-by-step explanation:

This is why he can get 60 dvds Because 15x6=90 and 10 for shipping make it 100 exactly.

Answer:

-5/2

Step-by-step explanation:

Answer:

8000309

Step-by-step explanation:

Answer:

A. Both triangles contain right angles and a corresponding angle of equal measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle

x = 3 m

Step-by-step explanation:

The figure given shows two right angles triangles having corresponding angles that are congruent and of the same measure.

If we find the ratios of their given corresponding side lengths, their ratios would be the same.

Thus: ratio of the side of the smaller ∆ to the larger ∆ = 4:8 = 5:10 = 4/8 = 5/10 = ½

½ is the scale factor. Therefore, both triangles are similar.

To find x, multiply the corresponding side length of the other triangle by the scale factor.

x corresponds to side length that is 6 m in the other triangle.

Therefore,

x = 6*½ = 3 m

The value of 'x' in the smaller triangle is 2 and both the triangles are similar because triangles contain right angles and a corresponding angle of equal measure. Therefore, two angles of the large triangle are equal in measure to two angles of the small triangle.

Given :

Two triangles are given in the figure.

The Pythagorean theorem can be used in order to determine the value of 'x' in the smaller triangle.

[tex]5^2=4^2+x^2[/tex]

[tex]x^2= 25-16[/tex]

x = 3

According to the given figure of the triangles, both triangles contain right angles and a corresponding angle of equal measure. Therefore, two angles of the large triangle are equal in measure to two angles of the small triangle. Hence both the triangles are similar.

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/10652623

Answer:

52 pounds in kilograms is 23.5868

Answer:

3/-2

Step-by-step explanation:

All I did was put - 3/2 into my calculator and got the answer. I than found the answer for the rest of the fractions and only the first one equals to - 3/2.

Answer:

y=6x

Step-by-step explanation:

direct variation equation is like y=kx (k: constant)

substitute (5,30) to solve k,

30=5k

k=6

Answer:y=6x

Step-by-step explanation:

Answer:

rhombus

Step-by-step explanation:

you can't see what shape that is but Im doing this assignment right now I know what it looks like

Answer:

455

Step-by-step explanation:

if the number is 146, then this answer is right.

(3×146) +17 = 455

Answer:

0, 10, 8, 2

Step-by-step explanation:

Answer:

0 10 8 2

Step-by-step explanation:

edg 2021

Answer:

B.) 1,502.06

Step-by-step explanation:

18-1=17

1492.33*14%*(17/365)+=9.731

1492.33+9.731= 1502.061 Don't round up.

I assume you're in Buss Math with me, trust me man this stuff is easy if you read the text book it shows you everything. Not to mention she gives out the textbook answers and you can use their examples to help.

Answer:

 (2.5 x 10^10) x (3.5 x 10^-7)     <--- When multiplying, numbers can be arranged in any order.

=  (2.5 x 3.5) x (10^10 x 10^-7)     <--- When you multiply numbers with the same base, add their exponents.

=  8.75 x 10^3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

10+3x=2(3+4)+5

3x=2(7)-5

3x=14-5

3x=9

x=3

You're welcome sir

Answer:

7

Step-by-step explanation:

35 / 7 = 5

49 /7 = 7

Answer: 7

Step-by-step explanation:

Answer:12

Step-by-step explanation:

u half to round it to the nerest hundreths and than multiplye it by 4

Answer: 5,900,000

Step-by-step explanation: 5,900,000 ~ 5,896,487 ( 800,000) Round it ~ = 5,900,000

Answer:

210 yards

Step-by-step explanation:

You are told that the two triangles (trails) are similar (since Perry wants to construct a similar trail to Hillsville's) this means that there is a scale factor meaning the length of one side of the Hillsville trail * scale factor = length of corresponding side of Perry's trail)

1. One side of the Hillsville trail that measures 400 yards corresponds to the 280 yard side of Perry's trail so the scale factor is

280/400 -> 7/10

2. Use the scale factor to find n since you know that the length of one side of the Hillsville trail * scale factor = length of corresponding side of Perry's trail

n = 300 * 7/10 -> n = 210

Answer:

4

Step-by-step explanation:

10n=40

10n/10=40/10

n=4

The number without exponent is written as,

⇒ 8pppppp

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ (2p²)³

Now, We can write the expression without exponents as;

⇒ (2p²)³

⇒ 2³ × (p²)³

⇒ 8 × p⁶

⇒ 8 × p × p × p × p × p × p

⇒ 8pppppp

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

66

Step-by-step explanation:

Given that:

Total Number of books = 4356

Number of books in a row = number of rows

Let number of rows = b

Then number of books in each row = b

Total number of books = (number of rows * number of books per row

Hence,

4356 = b * b

4356 = b²

Take the square root of both sides

Sqrt(4356) = b

66 = b

Number of books in each row = 66

C.

ll real numbers except npi, where n is any integer

on edg2020

Answer:

The width of the Television is 32 inches.

Step-by-step explanation:

It seems as if the hypotenuse of the triangle is 40 inches, and one of the side lengths of it is 24 inches.

a2+b2=c2

So if we square 40 we get 1600, which is c2

If we square 24, we get 576, which is a2.

Then you solve, 576+b2=1600

you get b2=1600

Then you get the square root of both sides which in turn gives you the answer

b=32, which is the width of the television.

Step-by-step explanation:

use the pythagorean theorem c^2 = a^2 + b^2 diagonal is the hypotenuse...

40^2 = 24^2 + b^2

b^2 = 40^2 - 24^2

b =

[tex] b = \sqrt{40 {}^{2} - 24 {}^{2} } [/tex]