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antiseptic1488 [7]
3 years ago
5

A rental moving truck can haul a maximum of 7,500 pounds. Dejuan has boxes that weigh 40 pounds and boxes that weigh 75 pounds.

How many of each kind of box can he haul in one load?
If x represents the number of 40-pound boxes and y represents the number of 75-pound boxes, which graph correctly shows the solution to the problem 40x + 75y ≤ 7500?

X, Y graph. X range is negative 300 to 300, and y range is negative 300 to 300. Dashed line on graph has negative slope and runs through 0, 100 and 187.5, 0. Below line is shaded.
X, Y graph. X range is negative 300 to 300, and y range is negative 300 to 300. Solid line on graph has negative slope and runs through 0, 100 and 187.5, 0. Below line is shaded.
X, Y graph. X range is negative 300 to 300, and y range is negative 300 to 300. Solid line on graph has negative slope and runs through 0, 100 and 187.5, 0. Above line is shaded.
X, Y graph. X range is negative 300 to 300, and y range is negative 300 to 300. Dashed line on graph has negative slope and runs through 0, 100 and 187.5, 0. Above line is shaded.
Mathematics
1 answer:
enyata [817]3 years ago
5 0

Answer:

It is the 3rd graph. The other dude lied and tried to trick me but its the 3rd graph.

Step-by-step explanation:

The 3rd graph C

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Person A can paint the neighbor's house 6 times as fast as Person B. The year A and B worked together it
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Person A takes 2.3 days to paint the house working alone

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<em><u>Solution:</u></em>

Let "x" be the number of days it takes person A  to paint the house

Person A can paint the neighbor's house 6 times as fast as Person B

Therefore.

Number of days it takes person B to paint the house = 6x

Their rates of painting are added to get  the rate working together

\frac{\text{1 house}}{\text{x days}} + \frac{\text{1 house}}{\text{6x days}} = \frac{\text{1 house}}{\text{2 days}}

\frac{1}{x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{1 \times 6}{6x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{7}{6x} = \frac{1}{2}\\\\\ x = \frac{7}{3}= 2.3

Thus person A takes 2.3 days to paint the house working alone

Person B = 2x = 6(2.3) = 13.8

Thus person B takes 13.8 days to paint the house working alone

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Step-by-step explanation:

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