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Kobotan [32]
3 years ago
6

Elena ate 2/8 of a pizza and Dylan ate 1/5. Use the number lines and benchmark fractions to estimate how much of the pizza they

ate. Explain
Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

18/40

Step-by-step explanation:

1. Find a common denominator

8, 16, 24, 32, 40

5, 10, 15, 20, 25, 30, 35, 40

2/8 times 5= 10/40

1/5 times 8= 8/40

10/40 plus 8/40= 18/40

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Find the product of (4x − 3)(2x2 − 7x 1). 8x3 − 22x2 17x− 3 8x3 8x2 4x − 3 8x3 − 34x2 25x − 3 8x3 − 42x2 25x − 3.
Andrej [43]

Product of two polynomials can be done by distribution of multiplication over addition. The product of  (4x -3)(2x^2 -7x + 1) is 8x^3 - 34x^2 + 25x - 3

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a\times b + a\times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is obtained as:

(4x -3)(2x^2 -7x + 1) = 4x(2x^2 - 7x + 1) -3(2x^2 - 7x + 1)\\(4x -3)(2x^2 -7x + 1) = 8x^{1 + 2} - 28x^2 + 4x - 6x^2 + 21x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 + (-28-6)x^2 + (4 + 21)x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 - 34x^2 + 25x - 3

Thus,

The product of  (4x -3)(2x^2 -7x + 1) is 8x^3 - 34x^2 + 25x - 3

Learn more about polynomial product here;

brainly.com/question/9106484

3 0
2 years ago
Solve the equation by using the quadratic formula.
Luda [366]

Answer:

The answer is B

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The number of gas purchased by four motorist and the corresponding costs are plotted one he coordinate plane. Which of these tab
BARSIC [14]

Answer:

4 IS $1

8 IS $2

12 IS $3

16 IS $4

Step-by-step explanation:

On the coordinate plane it would be a number on the top left and point at a bottom number, the top left is the first number and on the bottom is the last number. Hope that helped!

6 0
3 years ago
Plz help it’s important
m_a_m_a [10]

Answer:

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

  V = (2/3)πr³

For a radius of 5 m, the volume is ...

  V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

__

B. The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

  V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

__

C. Then the total volume is ...

  V = hemisphere volume + cylinder volume

  V = 261.799 m³ +942.478 m³ = 1204.277 m³

__

Rounded to the nearest integer, the volumes are ...

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

_____

As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

6 0
3 years ago
Need help asap please
emmasim [6.3K]

Answer:

The radius of the circle r=12.

The area of a circle is 144π.

Step-by-step explanation:

The radius of the circle is r where 2πr=24π, r=12.

The area of a circle with radius 12 is

A=πr², A=π12², A=144π.

4 0
1 year ago
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