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3 years ago

Regan cycles 78 miles in 6 hours.

Mathematics

1 answer:

Brut [27]3 years ago

4 0

Answer:

12 mph

Step-by-step explanation:

First 30 miles while cycling at 15 mph. This means he spent 2 hours here.

Thus the 4 hours on the last 48 miles.

Average speed = distance / time

Average speed = 48 miles / 4 hours

Average speed = 12 mph

Therefore Regan's average speed is 12 mph for the last 48 miles.

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(5-3m)-3=-30 how do I work this out?

Sergeu [11.5K]

Answer: $m=32/3$

Step-by-step explanation:

1) Simplify both sides of the equation: $5+-3m+-3=-30$

$(-3m)+(5+-3)=-30$ (Combine Like Terms)

$-3m+2=-30$

2) Subtract 2 from both sides: $-3m+2-2=-30-2$

$-3m=-32$

3) Divide both sides by 3: $-3m/-3 = -32/-3$

Get your answer: $m=32/3$

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3 years ago

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A business reports a net income of −$2,730−$2,730 over a 3-month period.

bearhunter [10]

The answer is C. $910, all you do is take the income and divide it by the number of months to find the average.

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3 years ago

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a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

| \

x | \ 9

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|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

$a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79$

Hope this helped!

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3 years ago

The table shows different quantities of flour and the number of cookies that can be made with each quantity of flour. If the rel

kow [346]

C) 8 is the appropriate choice

4 dozen are made from 3 cups of flour, so twice that flour (6 cups) will produce twice the number of cookies, 8 dozen.

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3 years ago

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Given that √5 ≈ 2.2360679775 and ???? ≈ 3.1415926535, find the sum √5 + ???? to an accuracy of 10−8 without using a calculator.

muminat

Answer:

√5 + π = 537766063.1 × $10^{-8}$

Step-by-step explanation:

given data

√5 ≈ 2.2360679775

π ≈ 3.1415926535

to find out

√5 + π

solution

√5 + π = 2.2360679775 + 3.1415926535

√5 + π = 5.3776606310

√5 + π = 5.3776606310 × $\frac{10^{-8}}{10^{-8}}$

√5 + π = 537766063.1 × $10^{-8}$

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3 years ago