Which of the following expressions has a coefficient of 10 and a constant of 5?10 + 5.3
10 - 5
10x + 5
10 + 5
Which of the following expressions has a coefficient of 10 - 1

Answers

Answer 1
Answer:

We have that

From the expressions

  • 10 + 5.3
  • 10 - 5
  • 10x + 5
  • 10 + 5

The correct expression is

  • 10x + 5
  • Option C

From the question we are told

Which of the following expressions has a coefficient of 10 and a constant of 5?

  • 10 + 5.3
  • 10 - 5
  • 10x + 5
  • 10 + 5

Generally

We Know That the coefficient of an expression precedes the main variable of the expression

While

The Constant is a Number that stands alone

Therefore

From the expressions

  • 10 + 5.3
  • 10 - 5
  • 10x + 5
  • 10 + 5

The correct expression is

  • 10x + 5
  • Option C

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Answer 2
Answer: 10x + 5 is the answer.

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A pizza is divided into 12 equal slice.4 slices have mushrooms only.
2 slices have mushrooms and pepperoni.
6 slices have pepperoni only.
write two equivalent fractions to describe the parts of the pizza with 
mushrooms only : ____________ and _________
pepperoni only : ___________ and _________
mushrooms and pepperoni : ____________ and ______________ .

Answers

The equivalent fractions for only mushroom, only pepperoni and mushrooms and pepperoni are given as  1/3, 2/6, 1/2, 2/4, 1/6, 2/12 respectively.

What is a fraction?

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given problem can be solved as follows,

(a) The fraction to represent only mushrooms is given as below,

The number of mushroom slices ÷ Total number of slice

⇒ 4 ÷ 12

⇒ 1/3

Multiply numerator and denominator by 2 to get equivalent fraction as2/6

(b) The fraction to represent only pepperoni is given as below,

The number of pepperoni slices ÷ Total number of slice

6 ÷ 12

⇒ 1/2

Multiply numerator and denominator by 2 to get equivalent fraction as 2/4.

(c) The fraction to represent only mushrooms and pepperoni is given as below,

The number of mushrooms and pepperoni slices ÷ Total number of slice

⇒ 2 ÷ 12

⇒ 1/6

Multiply numerator and denominator by 2 to get equivalent fraction as 2/12.

Hence, the required fractions for the given case are 1/3, 2/6, 1/2, 2/4, 1/6, 2/12 respectively.

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Mushroom only: 4/12 and 1/3
Pepperoni only:6/12 and 2/4
Both mushroom and pepperoni: 2/12 and 1/6

You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in the drawing.b. A sofa in the room has a length of 6 feet.Find the length of the sofa in thedrawing.c. You want to enlarge the scale drawing.How would you change the scale todouble the dimensions of the drawing?Explain.

Answers

Answer:

a. 3.5 inches by 4.5 inches

b. 1.5 inches

c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2

Step-by-step explanation:

A scale is a representative fraction showing the relationship between length on a drawing and actual length.

i.e scale = (length on a drawing)/(actual length)

 scale = 1 inch : 4 feet

a. The dimensions in the drawing can be determined as;

1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.

(14)/(4) = 3.5 inches

(18)/(4) = 4.5 inches

Dimensions on drawing is 3.5 inches by 4.5 inches.

b. The length of the sofa is 6 feet, its length on the drawing is;

(6)/(4) = 1.5 inches

c. To enlarge the scale so as to double the dimensions of the drawing, we have;

12 inches = 1 feet

4 feet = 4 × 12 = 48 inches

given scale = 1 inch : 48 inches

Thus, divide 48 inches by 2 and multiply 1 inch by 12.

scale = 12 inch : 24 inch

scale = 1 : 2

To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.

Factor 2x^3-12x^2+16x

Answers

Answer:

2x ( x-4) (x-2)

Step-by-step explanation:

this is part 2 and you just have to find the total area in sq ft and also answer how much material do you need to make 3 backpacks

Answers

1. 1 1/8= 18/16

5/16*2= 10/16

4/16*2= 8/16

9/16= 9/16

1/2= 8/16


18/16 + 10/16 + 8/16 + 9/16 + 8/16= 53/16

Simplify:

4 & 5/16sq ft

2. All you do is multiply that by 3... so 4 & 5/16 = 53/16 53/16*3 = 159/16 = 9 & 15/16 sq ft

8)
What is the opposite of the opposite of -9|

Answers

Answer:

-9

Step-by-step explanation:

-9 is the opposite of the opposite of -9

Factor completely 12x^5 6x^3 8x^2

Answers

the answer is: 2x^2(6x^3+3x+4)