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2 years ago

7

Nora and her children went into a grocery store and she bought $5 worth of apples and bananas. Each apple costs $1 and each bana

na costs $0.50. She bought a total of 7 apples and bananas altogether. By following the steps below, determine the number of apples

1 answer:

qwelly [4]2 years ago

5 0

5 apples and 2 bananas

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The cost of pumpkin seeds is proportional to

zheka24 [161]

Answer:

Part 1) The unit rate is $\$0.25\ per\ ounce$

Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00

Step-by-step explanation:

Part 1) What is the unit rate for the pumpkin seeds?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

y ----> the cost of pumpkin seeds in dollars

x ---> the weight in ounces

we have

For x=24 ounces, y=$6

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{6}{24}=\$0.25\ per\ ounce$

The unit rate is the same that the constant of proportionality k

therefore

The unit rate is

$\$0.25\ per\ ounce$

Part 2) How much would 56. ounce bag of pumpkin seeds cost?

we know that

The linear equation is equal to

$y=0.25x$

For x=56 ounces

substitute in the linear equation and solve for y

$y=0.25(56)=\$14.00$

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2 years ago

(-4, -7) and (-6, 9) in slope-intercept form. Show work

BigorU [14]

Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

$m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8$

Putting slope in general equation

$y = -8x+b$

Putting (-6,9) in the equation

$9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39$

Putting the value of b we get

$y = -8x-39$

Hence,

Equation of line in slope-intercept form is: y = -8x-39

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