11) It takes you 15 minutes to frost a 2 layer cake. You and a friend have 100 1 point
cakes to frost for the church bake sale. How many hours will it take the two
of you to frost all of the cakes if you work at the same time rate? Hint: It
takes you 15 minutes to frost one cake, you can frost 4 cakes in 1 hr. *
B. 8 hours
O c. 12.5 hours

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

For option A:

(0,4)

Putting x=0 and y = 4 in both equations

[tex]-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2[/tex]

This is not the correct answer as both equations are not true with this solution

For Option B:

(0,-4)

Putting x = 0 and y = -4 in both equations

[tex]-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2[/tex]

Both equations are true for (0,-4) hence it is the solution of the system.

For Option C:

(4,0)

[tex]-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2[/tex]

Not true for both equations

Hence,

Option b is the correct answer.

Answer:

The distance is 1/3 :)

Your welcome

Answer:

1/3

Step-by-step explanation:

Hope it helps :)

Answer:

25 percent

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

12 / 16 = 0. 75

i found this by dividing 12 by 0.75

Answer:

Step-by-step explanation:

H3Y TH3R3 D1L1GH74 WH4T5 1T 71K3 1N NYC 1M 4 TH0US4-

Answer: y=8-6x

Step-by-step explanation:

Answer:

the ratio is 1:3 for brown sugar to sugar

Answer:

divide both sides of the equation by 10

Answer:

£365 is cheaper than  €425.

Step-by-step explanation:

We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.

€425 or £365

£365 = €(365 * 1.14)

£365 = €416.10

€425 > €416.10

£365 is cheaper than  €425.

Answer:

a = b = c = 45°

Step-by-step explanation:

[tex]In\: \triangle BDC, \\\\

BD = CD.... (given) \\\\

\therefore m\angle DBC =m\angle DCB\\(By\: isosceles \:\triangle\: property) \\

\therefore a\degree = b\degree.... (1)\\\\

m\angle BDC= 90\degree \\\\

\because m\angle BDC + a\degree + b\degree=180\degree \\\\

90\degree+ a\degree + a\degree=180\degree\\ [from \: equation \: (1)]\\\\

2a\degree=180\degree -90\degree\\

2a\degree= 90\degree\\\\

\therefore a\degree=\frac{ 90\degree}{2} \\\\

\huge\purple {\boxed {\therefore a\degree=45\degree}} \\\\

\implies \huge\red {\boxed { b\degree=45\degree}} \\\\

In\: \triangle ABC, \\\\

AB = BC.... (given) \\\\

\therefore m\angle BAC =m\angle BCA\\(By\: isosceles \:\triangle\: property) \\

\therefore c\degree = b\degree\\\\

\because b\degree=45\degree \\\\

\implies \huge\orange {\boxed { b\degree=45\degree}} [[/tex]

Answer: -6 2/3, square root of 36, 6.4..., 71/11

Step-by-step explanation:

Turn the fractions into decimals for more understanding and solve for the square root of 36, 6.4... stays the same

in this you would mainly look at the tenths place, and put 0's at the end till you get to the thousandth's place.

7.990, 7.800, 7.200, 7.141.

Answer:

4, 2, 0, -2

Step-by-step explanation:

just plug the x value into y=-2x

Answer:

[tex]\frac{x^{2} }{5x-8}-\frac{64}{5x-8}=\frac{x^{2}-64 }{5x-8}=\frac{(x-8)(x+8)}{5x-8}[/tex]

Step-by-step explanation:

Answer:

D. 29

Step-by-step explanation:

180 - 151 = 29

Answer:

22 for x 45 for 4x+3 36 for 3x+2

Step-by-step explanation:

Trust me this is easy

Answer:

4x+2 =90°

3x+2=68°

x=22

Step-by-step explanation:

The interior angles of a triangle always add up to 180° so you will add the angles together and set them equal to 180° to solve for x. You will find that x should be equal to 22. Plug 22 into each equation to find the angle measure.

Answer:

Each person would get 1/6 of the pizza

Step-by-step explanation:

1/3 divided by 2 is 1/6. Do that again and you will get four of 1/6.

Answer:

A. 354.20 + 50.60w ≥ 1,099.51

Step-by-step explanation:

$354.20 (her savings)

$50.60 (what she can save every week)

she need to get to a total of (at least) $1,099.51

354.20 (she already have) + 50.60 per week it need to be equal or more than 1,099.51

354.20 + 50.60w ≥ 1,099.51

x = -2, y = -1

Substitution method:

2x + 3y = -7

y = 8x + 15

2x + 3(8x + 15) = -7

2x + 24x + 45 = -7

26x = -52

x = -2

Substituting x value back into 1st equation for y:

2(-2) + 3y = -7

3y = -3

y = -1

Answer:

3/4, 4/5, 3, 3, 3.5

Answer:

3.5,3 3/4,3 4/5

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

search up this website for the steps:

symbolab is the website

Answer:

That is a false equation

Step-by-step explanation:

The negative can't coninspire with the final result. There is no answer It is invalid. Your in collage. Lay off the parties and learn the basic functions of math

Answer: There would be 20 oranges in each bucket

Step-by-step explanation:

Answer:

20 oranges

Step-by-step explanation:

if john has to distribute the 340 oranges he picked amongst 17 buckets, the equation that represents his situation would be 340/17. just divide and you'll get 20, meaning there's 20 oranges in each bucket.