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Leona [35]
3 years ago
10

Sergio plans to drive 150 miles at a rate of 60 miles per hour. He figures that it will take 25 hours. Which is NOT a reason why

this conclusion is wrong?
A. If he's driving more than 60 miles, the drive would take longer than 1 hour.
B. He should have multiplied 150 by 60 instead of dividing.
C. When you divide 60 by 150, you get 25 but the unit is not hours.
D. In 25 of an hour, he would drive less than 60 miles.
Mathematics
2 answers:
Evgen [1.6K]3 years ago
8 0

Answer:

B. He should have multiplied 150 by 60 instead of dividing.

Step-by-step explanation:

Speed = distance/time

Distance/time = speed

150/time = 60

time = 150/60

(Divide, not multiply)

time = 5/2

Tanzania [10]3 years ago
7 0

Answer:

B

Step-by-step explanation:

This is a distance-rate-time problem, so we need to use the equation: d=rt, where d is the distance, r is the rate, and t is the time.

Here, we know that the total distance is 150, so d = 150. Also, we are given that Sergio's rate is 60 mph, so r = 60. Put these in:

d = rt

150 = 60t

To solve for t, we divide both sides by 60. Because we are dividing and not multiplying, we know that B is the only one that is incorrect.

Hope this helps!

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Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

        a(4)(-4) = 8, or

            -16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

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Step-by-step explanation:

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8 0
3 years ago
Aaron was offered a job that paid a salary of \$57,000$57,000 in its first year. The salary was set to increase by 1% per year e
Jobisdone [24]

Answer:

The total amount received is: $1906650

Step-by-step explanation:

Given

a = \$57000 --- initial

b = 1\% --- rate

n = 29 --- time

Required

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The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms

Where n = 29

r = 1 + b

r = 1 + 1\%

Express percentage as decimal

r = 1 + 0.01

r = 1.01

The required is the calculated using:

S_n = \frac{a(r^n - 1)}{r - 1}

So, we have:

S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}

S_n = \frac{57000 * (1.3345- 1)}{0.01}

S_n = \frac{57000 * 0.3345}{0.01}

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S_n = 1906650

<em>The total amount received is: $1906650</em>

8 0
3 years ago
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