Solve for y, Angle Q and Angle S

A cookbook cost 3 times as a storybook.A cookbook and 4 storybook cost $112.How much did a storybook cost?

Reptile [31]

1c+4s=112
1c=3s
3s+4s=112
7s=112
Storybook= $16

3 0

3 years ago

Read 2 more answers

Find the mean 35 40 12 16 25 10

ruslelena [56]

Answer: Mean = 23

Step-by-step explanation:

<u>Given information:</u>

35, 40, 12, 16, 25, 10

<u>Given formula:</u>

$Mean~=~\frac{Sum~of~terms}{Number~of~terms}$

<u>Substitute values into the formula</u>

$Mean~=~\frac{35~+~40~+~12~+~16~+~25~+~10}{6}$

<u>Combine like terms</u>

$Mean~=~\frac{75~+~28~+~35}{6}$

$Mean~=~\frac{103~+~35}{6}$

$Mean~=~\frac{138}{6}$

<u>Simplify the fraction</u>

$\Large\boxed{Mean=23}$

Hope this helps!! :)

Please let me know if you have any questions

4 0

2 years ago

Enter your answer in scientific notation

Oxana [17]

It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

<h3>How do scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.

A comet is about $5.1 \times 10 ^9$ km from the sun.

Light travels at about $3.0 \times 10 ^5$ km per second.

$\dfrac{5.1 \times 10 ^9}{3.0 \times 10 ^5}$

= $1.7 \times 10 ^4$

Hence, It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

Learn more about scientific notation here:

brainly.com/question/3112062

#SPJ1

4 0

2 years ago

The sum of three numbers is 54. The third number is 2 times the second. The second number is 10 more than the first. What are th

Svetllana [295]

Answer:

8, 18 and 36 respectively.

<h2>explanation</h2>

sum=54

1st number=x

2nd number=x+10

3rd number =2(x+10)=2x+20

x+x+10+2x+20=54

put the liketerms together

x+x+2x=54-10-20

4x=24

divide both sides by 4 to get

x=8

Input the other values

6 0

3 years ago

Please answer now I’m giving out 100 points

N76 [4]

4 liters of punch can serve 16.

5 liters of punch will be needed for 20 servings.

7 liters of punch will serve 28.

Step-by-step explanation:

Given,

Ratios of liters of punch to servings = 2:8

Let,

x be the servings for 4 liters.

New ratio of liters of punch to servings = 4:x

Using proportion;

Ratio :: New ratio

$2:8::4:x$

Product of mean = Product of extreme

$8*4=2*x\\32=2x\\2x=32$

Dividing both sides by 2

$\frac{2x}{2}=\frac{32}{2}\\x=16$

4 liters of punch can serve 16.

Let,

y be the liters of punch for 20 servings.

New ratio = y:20

Using proportion;

$2:8::y:20$

Product of mean = Product of extreme

$8*y=20*2\\8y=40\\$

Dividing both sides by 8

$\frac{8y}{8}=\frac{40}{8}$

y=5

5 liters of punch will be needed for 20 servings.

Let,

z be the number of servings for 7 liters of punch.

New ratio = 7:z

Using proportion

$2:8::7:z\\$

Product of mean = Product of extreme

$8*7=2*z\\56=2z\\2z=56$

Dividing both sides by 2

$\frac{2z}{2}=\frac{56}{2}\\z=28$

7 liters of punch will serve 28.

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

4 0

3 years ago