Mathematics High School

1. 232 is 8 times the sum of Mark's and his sister's ages. His sister is 21. Find Mark's age.

2. George went to the store for a sale on designer socks. Each pair was $3 off. She bought 6 pairs for $31.20. How much was the original price of the socks?

Answers

Answer 1

Answer:

a. 8 years

b. $49.20

Step-by-step explanation:

The computation is shown below:

a. The mark age is

Given that

232 is 8 times of the sum of mark and his sister ages

And, his sister is 21

So,

Let us assume the mark age be x

now

8(x + 21) = 232

x + 21 = 29

x = 29 -21

x = 8

b. The original price of the socks is

As each pair get $3 off

And she bought 6 pairs for $31.20

= $31.20 + 6 × $3

= $31.20 + 18

= $49.20

Related Questions

what goes up a hill with three legs and goes down a hill with four legs?

Answers

Answer:

i don't know what goes up with three leg and goes down with 4

Answer:

u

Step-by-step explanation:

ect
Use the number line interactive to evaluate the
following expressions.
8 + 3 =
+
16
(-8) + (-5) =
<
(-8) + 2 =

Answers

Answer:

1. 11

2. -13

3. -6

Step-by-step explanation:

Hope this helps. Have a great day! (I got this correct on edge :})

The larger of two numbers is 6 more than the smaller integer. Their sum is 52, What are the numbers?

Answers

Make x the variable to represent the smaller integer. Since the larger integer is 6 more, you are going to add 6 to the 2x. Solve.
x + x + 6 = 52
2x + 6 = 52
2x = 46
x = 23
The smaller integer = 23
The larger integer = 29
Check:
23 + 29 = 52

Charlotte bought 18 songs for her MP3 player. Three-thirds of the songs are classical songs. How many of the songs are classical songs?

Answers

Answer:

three thirds is one whole

Step-by-step explanation:

The answer is 18 because three thirds is one whole which in this case is 18! Have a nice day!

what is the diameter of a circle with a circumference of 56 inches?

Answers

Answer:

17.83in

Step-by-step explanation:

Diameter of circle with circumference 56 inches 17.81 inches .

Given,

Circumference = 56 inches

Now,

Circumference of circle = 2πr

r = radius of circle.

Substitute the values to get the value of radius,

56 = 2 × π × r

56 = 2× 22/7× r

r = 56 × 7/44

r = 8.909 inches.

Next,

Diameter = 2 (Radius)

Diameter = 2 * 8.909

Diameter = 17.81 inches .

Know more about circle,

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Ms Carr made a mistake in her checkbook. she wrote a check for $8.98 to rent a video but mistakenly recoreded it in her checkbook as an $8.98 deposit on the blank slide represent each transaction with a rational number and explain the difference between the transactions

Answers

I don’t really understand the first part of the question but the difference between a deposit & withdraw is....
Deposit: Adding money to your account.
Withdraw: Taking money out of your account.

I hope this helps!(^_^)

help me bros, this question is a big part of my grade!!

Answers

Answer:

6.

m1 : 61

m2 : 61

m3 : 29

7.

m1 : 87

m2 : 45

m3 : 45

m4 : 52

Find the measures of the missing angles



Help pleaseee

Answers

Answer:

Nwm miałem to dawno powodzenia

100 is all the missing angels

What is the distance to the nearest tenth A unit, between point M (-8,-1) and point N (3,5)?

Answers

Answer: 12.5

Step-by-step explanation:

Equation of the line pls help

Answers

-2x+5 is the equation of the line

Select all the correct answers. 6^3×2^6 Which expressions are equal to 2^3 ? 2^6×3^3; 6^3; 12^3; 2^3×3^3; 12^6
​

Answers

Answer:

12^3

Step-by-step explanation:

Answer:

12 ^3

Step-by-step explanation:

How many solutions does this system of equations have? x+y=10 2x+2y=20

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

ive learned thiss

Answer: Infinite amount of solutions since the two equations are equal

Basically x = x and y = y all numbers would work

Step-by-step explanation:

UNIT 6: CEREAL BOX PROJECT / PORTFOLIO

A company has released the following possible designs for a new cereal box. The cost of production depends upon the cost of materials, which is determined by how much material is used. The amount of material used is equal to the surface area of the package plus some overlap. The amount of product contained in the package is the volume of the packaging.

Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the cereal box assuming that cardboard costs $0.05 per square inch.

Answers

Answer:

DO you go to a connexus school? I do and i have this same project im trying to find answers to!

Step-by-step explanation:

For the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

For the first cereal box:

Volume = L×W×H

Here L = 7.5 in, W = 2 in, and H = 12 in

Volume = 7.5×2×12 = 180 cubic inches

Surface area = 2(L×B+B×H+H×L)

= 2(7.5×2+2×12+12×7.5)

= 2(15+24+90)

= 258 square inches

Cost for this cereal box = 258×0.05 = $12.9

For the second cereal box:

[tex]\rm Volume = \frac{1}{3} bh[/tex]

b is the area and h, is the height of the pyramid.

b = 8×6 = 48 square inches, h = 12 inches

[tex]\rm Volume = \frac{1}{3} \times48\times12[/tex]

Volume = 192 cubic inches

[tex]\rm Surface \ area = b+\frac{1}{2} ps[/tex]

p is the perimeter of the base = 2(8+6) = 28 in

Slant height s = 12.6 in

[tex]\rm Surface \ area = 48+\frac{1}{2} (28)(12.6)[/tex] = 224.4 square inches

Cost of this cereal box = 224.2×0.05 = $11.22

For the third box:

Volume = πr²h

r = 2.5 in and h = 12 in

Volume = π(2.5)²(12) = 235.61 cubic inches

Surface area = 2πr(h+r) = 2π(2.5)(12+2.5) = 227.76 square inches

Cost of this cereal box = 227.76×0.05 = $11.38

Thus, for the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.

Learn more about the volume here:

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This equation shows how the time required to ring up a customer is related to the number of
items being purchased.
t = 3p + 11
The variable p represents the number of items being purchased t =3p + 11 The variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer. How long does it take to ring up a customer with 3 items?

Answers

Answer:

it is x=4÷2

Step-by-step explanation:

I just known the answer who cares about the steps

A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?

My question is more on how do I know how to change the percentage, and what to change it to.

Answers

Answer:

Therefore, after 12 years the car will value $6,765.35.

Step-by-step explanation:

If water flows through the pipe at a rate of 2L per seconds. How much water will pass through the pipe in 1/2hour​

Answers

Answer:

3600 Liters

Step-by-step explanation:

The given rate is 2L and we have to find how much water will flow in 1/2 hours at the same rate

1/2 hour is the same thing as 30 mins

multiply by 60 to convert minutes to seconds

[tex]3omin * \frac{60sec}{1min} = 1800 s[/tex]

since the rate is 2L per second we multiply 1800 by 2 and get 3600 Liters

A spinner has five equal sections labeled 1-5. In 60 spins, how often can you expect to spin a 3?

Answers

ok so lets say that you have a pizza cutted out in 5 sections and want to pick up only a certain piece, let's say pepperoni. If you took a piece at random, the chances of getting that certain piece of pepperoni in 60 spins is:    12 / 60

Porter read 20% of the Star Wars book. He read 8 pages of the book. Write the number of pages in the Star Wars book

Answers

Answer: 40 pages in total

Explanation: Porter has read 20% of the book and this translates to 8 pages of the book.

20% = 8 pages

Assume the total number of pages is x:

20% * x = 8

0.2x = 8

x = 8 / 0.2

x = 40 pages in total

Answer:

40 pages in the book

Step-by-step explanation:

8/40 = .20

Determine the Y intercept PLEASE HELP!!
X Y
-3 -3
0 -1
3 1

Answers

You are adding two each time

what is equivilent to 0.5y + 10.5 + 6.5y - 0.5 - 0.5y

Answers

Answer:

6.5y + 10

Step-by-step explanation:

0.5y + 10.5 + 6.5y - 0.5 - 0.5y

combine like terms

6.5y + 10

Answer:

m

Step-by-step explanation:

f

help ASAP! Ill mark brainliest!

Answers

Answer:

55 students

Step-by-step explanation:

Just write down the answer.

Answer:

Step-by-step explanation:

Football: 500(.38)= 190

Basketball: 500(.25)= 125

55 students (65 students)

help me please it’s math

Answers

Answer:

1) 345    2) 62    3) 36    4) 51     5) 96      6) 142

Step-by-step explanation:

I hope you and your 3rd or 4th grader self enjoy the answers i gave you.

Sean is employed as a truck driver. He drives x hours a week and is paid $21.60 per hour. Also he is paid $250 for food per week. This week he earned a total of $1,114. How many hours did he drive?

Answers

Answer:

Hours driven= 40 hours

Step-by-step explanation:

Giving the following information:

Variable income= $21.6 per hour

Fixed income= $250

Total income= $1,114

To calculate the number of hours driven, we need to use the following formula:

Total income= fixed income + hourly rate*number of hours

1,114 = 250 + 21.6*x

864 = 21.6x

864 / 21.6 = x

40=x

Hours driven= 40 hours

can someone check my answer make sure it's right, if it's wrong can you please explain thanks ❤️❤️​

Answers

Answer:

it is wrong

Step-by-step explanation:

the reason it is wrong is because I said so

Answer:

I am going to say no BECAUSE there are two y values, on the same point. For it to be linear it should only have one point per value. I think... good luck.

A square stained-glass window has an area of 4 feet2 what is the perimeter of the window

Answers

The perimeter of the window is 8 feet

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
SHOW YOUR WORK!!!
Calculate the volume of the following three-dimensional object

Answers

Answer = 314.2

Area of cyclinder:
Area at base x height

Pi = 3.142

5^2 x 3.142 = 78.55

78.55 x 4 = 314.2

Need Help On This Question!

Answers

Answer:

Just multiply the exponents of the numbers

So this is the order from top to below and I'll mark as 1 to 5

2

1

4

5

3


Della is renting a car for the day. The rental
fee (y) is $30 plus $0.25 per mile (m).
Which of the following equations represents
this cost?
(A) y = 0.30m + 25
(B) y = 30m + 0.25
(C) y = 0.25m + 30
(D) y = m(0.25 +30)

Answers

Answer: C) y = 0.25m + 30

Step-by-step explanation:

Since the rental fee (y) of the car is $30 plus $0.25 per mile (m), then the cost will be:

= $30 + $0.25(m)

= 30 + 0.25m

For example, to calculate the cost of someone who rented the car and used 20 miles will be:

= 30 + 0.25m

= 30 + 0.25(20)

= 35

help ASAP ill mark brainliest, you dont need to explain the answer

Answers

Answer:

The first option.

Step-by-step explanation:

Add all the numbers together and voila you get 27

la suma de cuatro y el producto de tres y un número x

Answers

Answer:

4+3x esa es la suma de cuatro y el producto de tres y un número x

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