MATHEMATICS
MIDDLE SCHOOL

Answer: 3000 because 60×50= 3,000. tht is the sum of the money distributed

MIDDLE SCHOOL

a contractor's crew can frame 3 houses in a week . How long will it take them to frame 54 houses if we frame the same number each week

Answer: Contractor's crew can frame 54 houses in 18 weeks.

Explanation:-

Time taken to complete 3 houses=1 weeks

⇒Time taken to complete 1 house= week

⇒Time taken to complete 54 houses = weeks

=18 weeks

Therefore, contractor's crew can frame 54 houses in 18 weeks.

18 weeks is your answer

hope this helps

hope this helps

HIGH SCHOOL

PLEASE HELP ASAP The radius of a circle is multiplied by 4/3. Which of the following describes the effect of this change on the area?

If the radius increases by (4 / 3) then the area increases by (4 / 3)^2(4 / 3)^2 = 1.777777777

HIGH SCHOOL

Evaluate for m=3, n=-4, and p=-2. 7(m-n)-3(p+2m)

7(3-4)-3(-2+6)

21-28+6-18

-19

21-28+6-18

-19

HIGH SCHOOL

There are about 1,400,000 drops in 25 gallons of liquid. What percent of a gallon is a single drop?

1.79% This is found by dividing 1,400,000 by 25 which gives 56,000. Then divide 1 by 56,000

HIGH SCHOOL

Solve, using linear combination. 3x + y = 4. 2x + y = 5. A.. . . (–1, 7). . . B.. . . (–3, 12). . . C.. (0, 4). . . D.. . . (–3, 13).

3x + y = 4

2x + y = 5

-3x - y = -4

2x + y = 5

-x = 1

x = -1

2x + y = 5

2(-1) + y = 5

-2 + y = 5

y = 5 + 2

y = 7

solution is (-1,7) hope this helps

2x + y = 5

-3x - y = -4

2x + y = 5

-x = 1

x = -1

2x + y = 5

2(-1) + y = 5

-2 + y = 5

y = 5 + 2

y = 7

solution is (-1,7) hope this helps

3x + y = 4....multiply by -1

2x + y = 5

--------------

-3x - y = -4 (result of multiplying by -1)

2x + y = 5

--------------add

-x = 1

x = -1

2x + y = 5

2(-1) + y = 5

-2 + y = 5

y = 5 + 2

y = 7

solution is (-1,7)

2x + y = 5

--------------

-3x - y = -4 (result of multiplying by -1)

2x + y = 5

--------------add

-x = 1

x = -1

2x + y = 5

2(-1) + y = 5

-2 + y = 5

y = 5 + 2

y = 7

solution is (-1,7)

HIGH SCHOOL

The year is 2033, and intelligent life has been found on Mars! Little green Martians have found their way to Earth and have appointed you as the Ultimate Math Ambassador to their planet. You must help them understand how Earthlings use math. 1.Two Martians, Splott and Fizzle, have solved the equation 2x + 4 = –3x + 14. Examine the work of Splott and Fizzle. Identify any errors in the Martians’ calculations and explain, using complete sentences, what corrections they should make.

Splott

Fizzle

2x + 4 = –3x + 14 2x + 4 = –3x + 14

2x + 4 + 3x = –3x + 14 + 3x 2x + 4 – 2x = –3x + 14 – 2x

5x + 4 = 14 4 = 14 – 5x

5x + 4 + 4 = 14 + 4 4 – 14 = 14 – 5x – 14

5x = 18 –12 = –5x

5 x divided by 5 is equal to 18 divided by 5 –12 + 5 = –5x + 5

x = 18 over 5

–7 = x

2.Create your own function to teach the Martians about functions. Your function must contain at least two different operations.

3.Using complete sentences, prove to Splott and Fizzle that your function is a legitimate function.

4.Using your function, explain to the Martians how to solve for f(3). Show your work and explain each step using complete sentences.

5.Using complete sentences, describe to the Martians how to find the inverse of your function.

6.The Martians ask you to explain one last thing, Ultimate Math Ambassador. They ask you to create a new function, h(x). Then assign any number to x. Using complete sentences, explain whether f(h(x)) and h(f(x)) will always result in the same number. You will use the function f(x) that you created in problem number 2.

2x + 4 = -3x + 14

+3x +3x

5x + 4 = 14

-4 -4

5x = 10

5 5

x = 2

+3x +3x

5x + 4 = 14

-4 -4

5x = 10

5 5

x = 2

MIDDLE SCHOOL

A usb flash drive costs $16. You have $50. Write an inequality to represent the number of usb flash drives you can buy.

Answer:

x≤3

Step-by-step explanation:

Since you can't get any more than 3 flash drives, the inequality is (making x=the number of USB flash drives you can buy):

x≤3

MIDDLE SCHOOL

The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit). An equation is −109.3=______

.

The outside temperature is ____ F.

Answer:

An equation : −109.3°F = Outside temperature -184.9°F.

Outside temperature = 75 .6°F.

Step-by-step explanation:

Given : The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature.

To find : Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).

Solution : We have given

Temperature of dry ice = −109.3°F.

Let the outside temperature = T

According to question :

Dry ice temperature is 184.9°F less than outside temp.

−109.3°F = Outside temperature -184.9°F.

On adding both sides by 184.9

Outsides temperature = −109.3°F + 184.9°F

Outside temperature = 75 .6°F.

Therefore, An equation : −109.3°F = Outside temperature -184.9°F.

Outside temperature = 75 .6°F.

T= outside temp

-109.3= t-184.9

add 184.9 to each side

t=75.6

it is 75.6 degrees F outside

-109.3= t-184.9

add 184.9 to each side

t=75.6

it is 75.6 degrees F outside

MIDDLE SCHOOL

PLEASE HELP!!!!!! Which number(s) below belong to the solution set of the inequality? Check all that apply.

“X + 22 < 32”

A. 5

B. 71

C. 10

D. 15

E. 8

F. 0

A

E

And

F

They all add up to under 32.

A, E, F

Because, x+22

Because, x+22