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scZoUnD [109]
2 years ago
6

A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how

many pounds of corn meal each family gets'.
Mathematics
1 answer:
Ivan2 years ago
7 0

Answer:

5/6 pounds

Step-by-step explanation:

A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.

Given the following :

Amount of corn meal purchased = 5 pounds

Number of people to share = 6 families

Assume, it is divided equally among them;

Then; each family gets ;

(Pounds of corn meal purchased/number of families) ;

5 / 6 pounds of corn meal will be distributed to each family.

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Write an equation of a line parallel to line EF below in slope-intercept form that passes through the point (2, 6).
N76 [4]

Answer:

y = -⅔x + ²²/₃  

Step-by-step explanation:

1. Calculate the slope of EF

Assume E is at (-2, 5) and F is at (1, 3).

m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔

2. Calculate the slope of the parallel line

m₂ = m₁ = -⅔

3. Calculate its y-intercept

y = mx + b

6 =-⅔(2) + b

Simplify

6 = -⁴/₃ + b

Add ⁴/₃ to each side

b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃

The y-intercept is at (0,²²/₃).

4. Write the equation for the line

y = -⅔x + ²²/₃

The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).

7 0
3 years ago
Rectangular field has a total perimeter of 128 feet. The width is
dsp73

Answer:

<h3>The length is 44 feet</h3><h3>The width is 20 feet</h3>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

Perimeter = 128 feet

The width is 24 feet less than the length is written as

w = l - 24

128 = 2l + 2( l - 24)

128 = 2l + 2l - 48

Group like terms

4l = 176

Divide both sides by 4

l = 44

The length is 44 feet

Substitute l = 44 into w = l - 24

w = 44 - 24

w = 20

The width is 20 feet

Hope this helps you

5 0
3 years ago
Will give brainly if correct
LuckyWell [14K]

Answer: The answer is <u>7 1/3</u>

7 0
3 years ago
A candle on pauline’s dresser is 10 inches tall and burns at a rate of 0.75 inches per hour. how many hours will it take for the
Natalija [7]

Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:

h(t) = 10 - 0.75t

The height will be of 0.25 inches when h(t) = 0.25, hence:

0.25 = 10 - 0.75t

0.75t = 9.75

t = 9.75/0.75

t = 13 hours.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0
1 year ago
The formula for finding the area of a square that has a side length, s, is A = s2. If a square has an area of 40 square units,
nika2105 [10]

Answer: s=2\sqrt[]{10}

Step-by-step explanation:

A=s^2

s=\sqrt[]{A} \\s=\sqrt[]{40} \\s=\sqrt[]{10*2^2} \\s=2\sqrt[]{10}

4 0
3 years ago
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