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Semenov [28]
4 years ago
6

Devante and Karen are 230 feet apart when they start walking toward one another. They are walking at the same speed, so whenever

Devante travels some number of feet, Karen travels the same number of feet. Let x represent the number of feet Devante has traveled since he started walking toward Karen. Write an expression in terms of x that represents the number of feet Devante has walked toward Karen since they started walking
Mathematics
1 answer:
Gnoma [55]4 years ago
4 0

Answer:

Karen (and Devante) walked x feet. They will be toguether after walking 115 feet each.

Step-by-step explanation:

I will assume that you want to know how much karen was walked towards Devante. Since they both travel at the same speed, then if Devante walks x feet, so does Karen.

SInce both of them are traveling in opposite directions, then in order for them to meet they need to walk a total of 230 feet in combination toguether. Since they travel at the same speed, then each one has to travel half that amount, hence each one will travel 230/2 = 115 feet until they meet.

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0.005

Step-by-step explanation:

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The weight of an object on the moon varies directly with its weight on the earth. If an object weighing 95 lbs on the moon weigh
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ANSWER

450lb

EXPLANATION

If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.
m \propto \: e
We introduce the constant of proportionality to obtain,

m = ke

When, m=95, e=570,

This implies that,

95 = 570k
k = \frac{95}{570}

k = \frac{1}{6}

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m = \frac{1}{6} e

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8 0
3 years ago
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Suppose that the functions q and r are defined as follows.
satela [25.4K]

Answer:

(r o g)(2) = 4

(q o r)(2) = 14

Step-by-step explanation:

Given

g(x) = x^2 + 5

r(x) = \sqrt{x + 7}

Solving (a): (r o q)(2)

In function:

(r o g)(x) = r(g(x))

So, first we calculate g(2)

g(x) = x^2 + 5

g(2) = 2^2 + 5

g(2) = 4 + 5

g(2) = 9

Next, we calculate r(g(2))

Substitute 9 for g(2)in r(g(2))

r(q(2)) = r(9)

This gives:

r(x) = \sqrt{x + 7}

r(9) = \sqrt{9 +7{

r(9) = \sqrt{16}{

r(9) = 4

Hence:

(r o g)(2) = 4

Solving (b): (q o r)(2)

So, first we calculate r(2)

r(x) = \sqrt{x + 7}

r(2) = \sqrt{2 + 7}

r(2) = \sqrt{9}

r(2) = 3

Next, we calculate g(r(2))

Substitute 3 for r(2)in g(r(2))

g(r(2)) = g(3)

g(x) = x^2 + 5

g(3) = 3^2 + 5

g(3) = 9 + 5

g(3) = 14

Hence:

(q o r)(2) = 14

8 0
3 years ago
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