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KATRIN_1 [288]
3 years ago
14

Larry rides his bike at a rate of 8.8 inches per second. About how m any miles per hour can Larry ride his bike?

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Larry rides his bike 0.5 miles per hour

<em><u>Solution:</u></em>

Given that Larry rides his bike at a rate of 8.8 inches per second

To find: Speed in miles per hour

So we have to convert 8.8 inches per second to miles per hour

<em><u>Use the conversion factor</u></em>

1 \text{ inch } = \frac{1}{63360} \text{ mile }

1 \text{ second } = \frac{1}{3600} \text{ hours }

<em><u>Convert 8.8 inches per second to miles per hour</u></em>

8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times \frac{1}{63360} \times 3600 \times \frac{\text{miles}}{\text{hour}}

8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times 0.00001578282 \times 3600 \times \frac{\text{miles}}{\text{hour}}\\\\8.8 \frac{\text{inches}}{\text{second}} = 0.5 \frac{miles}{hour}

Thus Larry rides his bike 0.5 miles per hour

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I'm pretty sure it's the square. The square can be divided into 4 equal parts, each part able to reflect each other.  
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Choose one of the factors of x^3 + 343.
Debora [2.8K]

First, note that 343=7^3. Then use the formula for the sum of perfect cubes:

a^3+b^3=(a+b)(a^2-ab+b^2).

Therefore,

x^3 + 343=x^3+7^3=(x+7)(x^2-7x+49).

The quadratic trinomial x^2-7x+49 couldn't be factored anymore, so the expression x^3 + 343 has two factors x+7 and x^2-7x+49.

Answer: correct choice is A.

3 0
3 years ago
1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound
Rufina [12.5K]

1) Resultant fraction: \frac{65}{63}

2) Total soil: 1\frac{7}{8} pounds

3) Result of the product: \frac{35}{2}

Step-by-step explanation:

1)

In this problem, we want to find the product between the two fractions

\frac{13}{14}

and

\frac{10}{9}

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}

Now we simplify, dividing both numerator and denominator by 2:

\frac{130/2}{126/2}=\frac{65}{63}

And the fraction cannot be further simplified.

2)

Here we have:

n = 5 (number of pots that Andy has)

s=\frac{3}{8} (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}

Which can be rewritten as a mixed fraction as:

\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}

3)

Here we want to find the result of the following product:

4\frac{2}{3}\cdot 3\frac{3}{4}

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}

For the 2nd fraction:

3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}

Now we can finally find the product of the two fractions:

\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

6 0
3 years ago
HELP! WILL NAME BRAINEST!!!!
Irina18 [472]

the best answer is b

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4x+6-6=40-6                               Therefore the third number in the sequence is
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4x/4=34/4
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