MATHEMATICS MIDDLE SCHOOL

The surface area of a cube is 486 ft2.

What is the area of one face of this cube?

Answers

Answer 1
Answer: cube has 6 sides
so
1 face =total area divide by 6

486/6=81
the area=81 ft^2

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A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent using substitution. The class has suggested four different methods.Which describes the correct method?
Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.
Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Answers

Answer: Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

4x - x + 5 = 8 - 3x - 3

Combine like terms

4x - x + 5 = 5 - 3x

Subtract x from 4x

3x + 5 = 5 - 3x

Add -3x to both sides

6x + 5 = 5

Subtract 5 from each side

6x = 0

Divide by 6

x = 0

Put 0 into the equation

4(0) - 0 + 5 = 8 - 3(0) - 3

Multiply

0 - 0 + 5 = 8 - 0 - 3

Subtract

5 = 5

Answer:

B

Step-by-step explanation:

. What is 9.2 written as a mixed number in simplest form?A. 29/10
B. 2/9
C. 9/2
D. 91/5

Answers

we know that

A Mixed Number is a whole number and a proper fraction combined

so

In this problem we have

9.2

we know that

9.2=9+0.2

Convert the decimal number to a proper fraction

0.2=(2)/(10)=(1)/(5)

Substitute

9.2=9+0.2=9+(1)/(5)=9(1)/(5)

therefore

the answer is the option D

9(1)/(5)
D 9 1/5 is the answer because 9 is the whole number and .2 is 1/5 so 9 1/5 is your answer

A farmer wants to fence in a section of land for a horse pasture. Fencing costs $31 per yard. How much will it cost to fence the pasture?

Answers

Answer:$13671

Step-by-step explanation:

The land the farmer will fence is equal to the sum of the lengths of all the sides of the land=330+330+330+189+144=1323 ft.

3 ft= 1 yard.

1 323 ft = 1323÷3=441 yards

Cost of fencing per yard is $31.

cost of fencing 441 yards=441x31=$13671.

330+330+330+144+189= 1323 ft

1323/3 = 441 yards

441yrds times $31 = $13671


8 cookies eaten in 2 minutes is what unit rate?

Answers

Answer:

Step-by-step explanation:

When you say 8 every two minutes then we would get every minute how many cookies are eating by dividing 2 and 8 by 2 to get 4 cookies a minute

Answer:

4 cookies per minute.

Step-by-step explanation:

The unit rate measures how much of something occurs per unit of time, distance, or another quantity. To find the unit rate of 8 cookies eaten in 2 minutes, you divide the total number of cookies by the total time.

In this case, the unit rate is calculated by dividing the number of cookies (8) by the time taken (2 minutes):

8 cookies ÷ 2 minutes = 4 cookies per minute

Therefore, the unit rate of 8 cookies eaten in 2 minutes is 4 cookies per minute. This means that the person is eating cookies at a rate of 4 cookies per minute.

Hope this Helps You (: Please Brainliest

F. 15 times as much as 1 fifth of 12.

Answers

15 × ( ¹/₅ × 12 ) = 36

Further explanation

Order of Operations in Mathematics follow this following rule :

  • Parentheses
  • Exponents
  • Multiplication and Division
  • Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

1 fifth of 12

(1)/(5) * 12

15 times as much as 1 fifth of 12

15 * ((1)/(5) * 12)

Let's solve the above operations!

15 * ((1)/(5) * 12) = 15 * ((1 * 12)/(5))

15 * ((1)/(5) * 12) = 15 * ((12)/(5))

15 * ((1)/(5) * 12) = (15 * 12)/(5)

15 * ((1)/(5) * 12) = (180)/(5)

15 * ((1)/(5) * 12) = \boxed {36}

Conclusion:

15 times as much as 1 fifth of 12 → 15 × ( ¹/₅ × 12 ) = 36

Learn more

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order Of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
(1/5×12)×15
12/5×15
12×15=180
180/5=36
the is 36

How many solutions does the equation 9x+27=27 have ?

Answers

First we rearrange to make x = a number

9x + 27 = 27     <- subtract 27 from both sides
9x = 0

When x ='s a number there is 1 solution. 
The answer is 1 solution.

Here are some examples to distinguish how many solutions something has:
> No solution, 0 = 12
> One solution, Y = 6
> Infinite solutions, 0 = 0


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