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TEA [102]
3 years ago
15

42) According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population in

creases at a rate of 80 people a year and Holly Spring's population increases by 120 people a year. Which equation may be used to determine the number of years before the populations are equal?
Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0
Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years
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Solve the following system of equations by graphing and select the correct answer below:
JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

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To find the y-intercept, substitute x=0 into the equation and solve for "y".

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2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33

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7 0
3 years ago
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Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away
Lena [83]

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

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We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

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All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

\triangle ABD\sim \triangle ECD

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\frac{AB}{1.45}=\frac{31.65}{5.45}

AB=\frac{31.65\times 1.45}{5.45}

AB=8.42m

Hence, the height of the tree=8.42 m

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3 years ago
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