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2 years ago

Michael read 135 pages in 1 1/2 hours, Select all of the rates that are equivalent to this rate

Mathematics

1 answer:

devlian [24]2 years ago

6 0

The rates that are equivalent to this rate is 90 pages/hr

<h3>Rate of change</h3>

The rate is the number of pages Michael read in 1 hour.

If he read 135 pages in 1 1/2 hours then;

135 pages = 1.5 hours

To determine the rate, we will have:

x = 1 hour

Divide both expressions:

135/x = 1.5/1

1.5x = 135

x = 135/1.5

x = 90

Hence the rates that are equivalent to this rate is 90 pages/hr

Learn more on rate here: brainly.com/question/119866

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hodyreva [135]

If you simplify (take out the brackets) of this equation. 5(x+10)=30 then it would be

5 times x + 5 times 10 = 30

5x+10=30

So yes they have the same solution

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Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.

Andru [333]

Answer: $14cm^{2}$

Step-by-step explanation:

diameter=7.3cm

radius= $\frac{diameter}{2}$

= $\frac{7.3}{2}$

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3 years ago

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Vilka [71]

Statistics on stepfamilies are difficult to attain, and the statistics we do have are probably underestimated.

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1 year ago

Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

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3 years ago