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BlackZzzverrR [31]
3 years ago
5

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 32 mi to 56 mi

Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

4/7

Step-by-step explanation:

32/56=16/28=8/14=4/7„

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PLEASE PLEASE HELP ME OUT ITS URGENT <br><br><br> What are the solutions to the quadratic equation?
mixer [17]

Answer: Choice C)  x = 4\pm2\sqrt{10}

This is the same as saying x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}

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

Explanation:

First get everything to one side

x^2 + 13 = 8x + 37

x^2 + 13 - 8x - 37 = 0

x^2 - 8x - 24 = 0

Here we have a quadratic in the form ax^2+bx+c = 0

Note how a = 1, b = -8, c = -24

Those values are plugged into the quadratic formula below

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-8)\pm\sqrt{(-8)^2-4(1)(-24)}}{2(1)}\\\\x = \frac{8\pm\sqrt{160}}{2}\\\\x = \frac{8\pm\sqrt{16*10}}{2}\\\\x = \frac{8\pm\sqrt{16}*\sqrt{10}}{2}\\\\x = \frac{8\pm4*\sqrt{10}}{2}\\\\x = \frac{2(4\pm2\sqrt{10})}{2}\\\\x = 4\pm2\sqrt{10}

This shows the answer is choice C.

The plus minus breaks down that equation these two solutions

x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}

6 0
3 years ago
Read 2 more answers
A light bulb consumes 5400 watt-hours in 3 days and 18 hours. How many watt-hours does it consume per day?
dezoksy [38]

<u>We are given:</u>

Time period: 3 days and 18 hours

Energy consumed in given time period: 5400 watt-hours

<u>Converting time to hours:</u>

We know that one day is 24 hours

So, 3 days = 72 hours

Time period = 3 days + 18 hours

Time period = 72 hours + 18 hours      

Time period = 90 hours

Converting to days

Time period = 3.75 days

<u>Watt-hour consumption in a day:</u>

Consumption = 5400 watt-hours / 3.75 days

Consumption = 1440 watt-hours/day

8 0
3 years ago
A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
creativ13 [48]

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

                                = 4d² -πd², but π = 22/7

                                = 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

                  = (6/28 d²) × 100%

                  = 21.42 %

Therefore; the answer is about 20%

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3 years ago
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iragen [17]

Answer:

9=x

Step-by-step explanation:

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Help pls it is my homework<br> Can y'all help me?
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Answer:

A

Step-by-step explanation:

the mean is what occurs most often

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