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Ann [662]
3 years ago
7

The jones family drove 336 miles to their vacation destination. Mr. Jones drove for 2 hours, Mrs. Jones drove for 1.4 hours, and

Marcus drove the remaining 1.25 hours. To the nearest tenth, what was the average rate of speed in miles per hour for the Jones’ family trip?
Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Answer:

72.3 mph

Step-by-step explanation:

2 + 1.4 + 1.25 = 4.65

336/4.65 = 72.3

you add up the time the trip took and then divide the number of miles by the time because it is miles per hour

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Fraction 4/7 I want Decimal and Percent
alexgriva [62]

Answer:

The decimal of 4/7, when rounded to the hundredths, is 0.57. The percentage of 4/7, when rounded to the nearest hundredths, is 57.14%

Step-by-step explanation:

To get the decimal, you have to divide 4 by and you'll get your answer.

For the percentage, when rounded to the hundredths, you place the decimal two spots to the right (.57 turns into 57.14).

8 0
3 years ago
Read 2 more answers
If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
2 years ago
Read 2 more answers
13, what is the probability that the coin lands on heads the first two times and lands on tales third
lozanna [386]

Answer: The probability is 1/8

Explanation:

Probability is a ratio of the number of relevant outcomes and total number of possible outcomes.

We are flipping the coin three times.

The number of relevant outcomes is 1 (one triple {Head, Head, Tail})

The number of all possible outcomes is the product of 2 possibilities (Head or Tail) on first toss, times another 2 on second, times another 2 on third, so 2^3 = 8.

The probability P = 1/8

4 0
3 years ago
Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is....
shutvik [7]

Answer:

The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .

Step-by-step explanation:

Formula for slope

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

As the Line AB contains points A (8, −4) and B (1, −5).

Put points value in the above

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

m = \frac{- 5- (-4)}{1 - 8}

m = \frac{- 5 + 4}{1 - 8}

m = \frac{- 1}{-7}

m = \frac{1}{7}

Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .

7 0
3 years ago
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find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utili
Amiraneli [1.4K]
Since 4i is a root, that automatically means -4i is also a root (complex roots always travel in pairs) So the factored form would look like <span>(x+4i)(x−4i).</span> When multiplied out this gives the polynomial <span><span>x2</span>+<span>16.</span></span>
5 0
2 years ago
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