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2 years ago

Which of the following is equivalent to “the quotient of 30 and the difference of 12 and 6”?

Mathematics

2 answers:

Afina-wow [57]2 years ago

4 0

Answer:

Option D, $\frac{30}{12-6}$

Step-by-step explanation:

Step 1: Determine the correct expression

So we know for sure that we will be doing 12 - 6 because we have the part where it says the difference of 12 and 6. That leaves us with Options A and D. Looking back at the statement we can see that the quotient of 30 and the rest which means that 30 would be the numerator and located at the top. This gives us option D.

Answer: Option D, $\frac{30}{12-6}$

mars1129 [50]2 years ago

3 0

Answer:

D. $\frac{30}{12-6}$

Step-by-step explanation:

We can immediately eliminate choices B and C because B shows "the difference of 6 and 12", not "of 12 and 6", and C shows "the quotient of 30 and 12 minus 6." 12 and 6 are not being subtracted properly.

30 is being stated before the difference of 12 and 6, so the difference will be the divisor, and 30 will be the dividend, therefore it will go in the numerator.

The only option that fits this criteria is D, so that is the answer.

hope this helps :)

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Can someone please help me with number 2?I don't know what I did wrong.

Dmitry [639]

Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

=========================================================

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>

When going 70 mph, it takes about 3.08 hours
When going 55 mph, it takes about 3.92 hours

6 0

3 years ago

7) Simplify: (3x)2 3x3

Vsevolod [243]

Answer:

3x3

Step-by-step explanation:

3=3

3x3(1)

1x2

2+1

answer 3x3

8 0

3 years ago

Read 2 more answers

42 /48 in simplest form

zloy xaker [14]

First we need to find the GCF (greatest common factor)

Factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42

Factors of 48 are:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48

GCF is 6

To simplify you divide numerator and denominator into the GCF

42 ÷ 6 = 7

48 ÷ 6 = 8

42/48 = 7/8

Hope this helps. :)

6 0

3 years ago

Volume of the cone?

ratelena [41]

Answer:

209.44

Step-by-step explanation:

V=pie r square h by 3

8 0

3 years ago

Given that f(x) = X + 3 2 a) Find f(2) b) Find f'(x) c) Find f"(12)

joja [24]

Answer:

Step-by-step explanation:

Unclear. Did you mean f(x) = 2^(x + 3)? If so, the parentheses are mandatory.

Assuming that f(x) = 2^(x + 3) is correct, then:

a) f(2) = 2^(2 + 3) = 2^5 = 32

b) f'(x) = 2^(x + 3)*(x + 3)' = 2^(x + 3)(1) = 2^(x + 3)

c) f"(x) = 2^(x + 3) (same as in (b)), so that:

f"(12) = 2^15

8 0

3 years ago