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3 years ago

A car drove 24 miles in 0.2 hours. How fast is the car going in miles per hour?

Mathematics

2 answers:

gladu [14]3 years ago

4 0

Answer:

120 mph

Step-by-step explanation:

To find miles per hour, divide miles by hours. ("Per" essentially means "divided by".)

(24 miles)/(0.2 hour) = 24/0.2 miles/hour = 120 miles/hour

kvasek [131]3 years ago

3 0

The answer is 120

Explication: 0.2 x 5 = 1 so since you multiplied 5 on one part you have to do it to the other and that gets you 120 miles per hour

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How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.

kifflom [539]

<h2><u>QUADRATIC EQUATION</u></h2>

<h2> $\mathbb{ANSWER:}$ </h2>

$\bold{x = 0.8 \: } \: \sf \: {\color{grey}or} \: \: \: \bold{ x= \frac{4}{5} } \\$

$\bold{x = - 6}$

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

$\bold{Given \: Equation: \color{brown} 5x²+26x-24=0}$

First, add 24 to both sides.

$\bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}$

$\bold{ \implies \: 5x²+26x = 24 }$

Since the coefficient of 5x² is 5, divide both sides by 5.

$\bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\$

$\bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\$

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

$\bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\$

$\bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\$

Factor the left side.

$\bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\$

Take square root.

$\bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\$

Then, add (-13)/5 to both sides.

$\bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\$

$\bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\$

$\implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\$

_______________❖_______________

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2 years ago

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A high school basketball team has a budget specifically for towels and extra basketballs. A towel costs $6 and a basketball cost

Soloha48 [4]

Answer:

Step-by-step explanation:

Towels are $6.

25x6= $150

The budget is $300.

$300-$150=$150 left over.

How many basketballs can you buy if they cost $30 per basketball.

$150/30 = 5

You can buy 5 basketballs with 0 dollars remaining.

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2 years ago

I need help with 1-8.

RSB [31]

Devide them all by 2

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3 years ago

What are the binomial factors of the expression below?<br>x^2 +7x+12

QveST [7]

Answer:

(x+3)(x+4)

Step-by-step explanation:

This is a simple decomposition factoring.

You find something that adds to 7 and multiplies to 12.

Those two numbers are 4 and 3.

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3 years ago

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I need help with this question please :(

horrorfan [7]

Answer:

Step-by-step explanation:

$(2^7 \cdot 3^{-5}\cdot 9)^4$

Use the Power of a Product Property, where:

$(ab)^n=a^nb^n$

Therefore:

$(2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4$

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