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3 years ago

Hector is competing in a 42-mile bicycle race. He has

Mathematics

1 answer:

m_a_m_a [10]3 years ago

7 0

Answer:

Let x = the hours needed for Wanda to catch up to Hector.

Hector has already completed 18 miles. Hector travels at 12 miles per hour.

After x more hours, Hector will travel

18 + 12x miles

Wanda travels at 16 miles per hour. In x hours, she travels

16x miles

If Wanda catches up to Hector, then

16x = 18 + 12x

4x = 18

x = 4.5 hours

Answer: 4 hours, 30 minutes (or 4.5 hours)

Step-by-step explanation:

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3 years ago

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Answer:

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During the summer, the population of spring lake is 30,155. During the winter, the population drops down to 13,876. How many peo

aleksley [76]

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3 years ago

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Can someone please help me out! and please explain your answer, and how you got it right! thank you so much!

Contact [7]

It is

$24x - 30$

The equation for area of a trapezoid is

$\frac{1}{2} (a + b) \times h$

Substituting our values in

$\frac{1}{2} (3x + 7 + 5x - 3) \times 6$

We can then simplify the expression

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8 0

3 years ago

Solve x^2 + x - 12 = 0

bogdanovich [222]

Answer:

x₁ = -4

x₂ = 3

Step-by-step explanation:

x²+ x + 12 = 0

x = {-1±√((1²)-(4*1*-12))} / (2*1)

x = {-1±√(1+48)} / 2

x = {-1±√49} / 2

x = {-1±7} / 2

x₁ = {-1-7} / 2 = -8/2 = -4

x₂ = {-1+7} / 2 = 6/2 = 3

Check:

x₁

-4² + (-4) - 12 = 0

16 - 4 - 12 = 0

x₂

3² + 3 - 12 = 0

9 + 3 - 12 = 0

6 0

2 years ago