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3 years ago

Factor 24 p + 64 Find "m" m+8=22

1 answer:

5 0

$24=8\cdot3;\ 64=8\cdot8\\\\24p+64=8\cdot3p+8\cdot8=\boxed{8(3p+8)}\\========================\\m+8=22\ \ \ |subtract\ 8\ from\ both\ sides\\\\m+8-8=22-8\\\\\boxed{m=14}$

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The flagpole casts an 8 foot shadow as shown in the table at the same time the oak tree casts 12-foot shadow how tall is the oak

jolli1 [7]

How tall is the flagpole?

3 0

4 years ago

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Reil [10]

Answer:

The maximum is at (0,4)

Step-by-step explanation:

x≥0

y≥0

x+y ≤4

2x+y ≤6

We need to plot the four inequalities. The left side has no axis. The max is at 4. The minimum is at 0 for the shaded area

When we have a system of constraints, the minimum and maximum are at the vertices of the graph

There are 4 points

(0,0)

The intersection point of the 2 lines which is (2,2)

The intersection at the y axis (0,4)

The intersection at the x axis is (3,0)

Once we have these points we put them into the constraint equation

C = 30x+50y

(0,0)

C = 0+0 = 0 This would be the trivial point since nothing happens

(0,4)

C = 0+50(4) = 200

(3,0)

C = 30*3 = 90

(2,2)

C = 30(2) + 50(2) = 60+100 = 160

The maximum is at (0,4)

3 0

3 years ago

Find the slope of the equation of the line that passes through the given points. through: (0, -3) and (3, 4)

Nadya [2.5K]

Answer:

7/3

Step-by-step explanation:

The slope is found by dividing the difference in the y-coordinates by the difference in the x-coordinates.

Here, the difference in the y-coordinates is: 4 - (-3) = 4 + 3 = 7. The difference in the x-coordinates is: 3 - 0 = 3.

Dividing 7 by 3, we get a slope of 7/3.

5 0

3 years ago

Read 2 more answers

In the equation below, solve for y: 2x+5y=12

Liula [17]

Answer:

y = $\frac{12-2x}{5}$

Step-by-step explanation:

Given

2x + 5y = 12

Isolate the term in y by subtracting 2x from both sides

5y = 12 - 2x ( divide both sides by 5 )

y = $\frac{12-2x}{5}$

7 0

3 years ago

Ramon earns $1,735 each month and pays $53.10 on electricity. To the nearest tenth of a percent, what perfect of ramons earnings

Alenkinab [10]

Answer:

$\boxed{3.1 \, \%}$

Step-by-step explanation:

The formula for calculating percentage is

$\text{Percentage} = \dfrac{\text{Part}}{\text{Whole}} \times 100 \, \%$

The "part" is the electricity payment.

The "whole" is Ramon's earnings.

$\begin{array}{rcl}\text{\% of earnings} & = & \dfrac{53.10}{1735} \times 100 \, \% \\\\& = & \mathbf{3.1 \, \%}\\\end{array}\\\boxed{\mathbf{3.1 \, \%}} \text{ of Ramon's earnings are on electricity}$

5 0

3 years ago