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Dvinal [7]
3 years ago
13

Christopher walks 15 miles in 5 hours . At this rate , how many miles does he walk in 10 hours

Mathematics
2 answers:
wariber [46]3 years ago
7 0
Christopher walks 30 miles in double the time as long as he stays at the same consistent speed
GenaCL600 [577]3 years ago
5 0

Answer:

30 miles

Step-by-step explanation:

First divide 15 and 5 because you need to know how much he did in a hour

Next multiple it by 10

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Circle W has a radius of 20 in and right central angle, ∠VWX. Find the length of . Leave your answer in terms of pi.
Trava [24]
Im pretty sure its 15

7 0
3 years ago
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A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

6 0
3 years ago
how does kasey situation change . the function? write a new function k(t) to represent kaseys account balance to any year t
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6 0
2 years ago
You need to be at least 39.37 inches tall (about a meter) to ride on a bumper car. Diego’s cousin is 35.75 inches tall. How many
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2 years ago
Kari rode his bicycle 3/8 of the distance from Lakeview to Bay cove, which is 24.1 miles. How many more miles does he need to ri
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8 0
3 years ago
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