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kiruha [24]
3 years ago
5

q cyclist rode 3.75 miles in 0.3 hours. How fast was she going in miles per hour. at that rate how long will it take her to go 4

.5 miles
Mathematics
2 answers:
Xelga [282]3 years ago
7 0

Answer:

the cyclist was going 12.5 mph

at that rate she will travel 4.5 miles in 21 minutes and 36 seconds.

Crazy boy [7]3 years ago
7 0

Answer: She rode 12.5 miles per hour .She rode 12.5 miles per hour .

She will take 0.36 hours to go 4.5 miles.

Step-by-step explanation:

Given : A  cyclist rode 3.75 miles in 0.3 hours..

Here , distance = 3.75 miles

Time = 0.3 hours

Then,  Speed = \dfrac{\text{Distance}}{\text{Time}}

=\dfrac{3.75}{0.3}\\\\=12.5\text{ miles per hour}

That means : She rode 12.5 miles per hour .

Now , with the same rate the time taken by her to go 4.5 miles = \dfrac{\text{Distance}}{\text{Speed}}

=\dfrac{4.5}{12.5}=0.36\text{ hour}

Hence, she will take 0.36 hours to go 4.5 miles.

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Caleb bought groceries and paid 1.60 in sales tax. The sales tax rate is 2.5%
Anton [14]

Answer:

$3.16

Step-by-step explanation:

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5 0
3 years ago
What is the percentage of cacao in hot chocolate which is made of 480 grams of milk and 20 grams of cacao?
galina1969 [7]

Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.

We need to determine the percentage of cacao in hot chocolate.

<u>The percentage of cacao:</u>

The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.

Total grams of hot chocolate = Grams of Milk + Grams of cacao

Total grams of hot chocolate = 480 + 20 = 500 grams.

Thus, the total grams of hot chocolate is 500 grams.

Now, we shall find the percentage of cacao.

The percentage of cacao is given by

\frac{100}{500}\times 20

Simplifying, the values, we get,

\frac{2000}{500}=4\%

Thus, the percentage of cacao is 4%

6 0
3 years ago
Find the area bounded by the curves x = 2y2 and x = 1 - y. Your work must include an integral in one variable.
Sedbober [7]

Answer:

Hello,

in order to simplify, i have taken the inverses functions

Step-by-step explanation:

\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\

4 0
3 years ago
3/8<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7D%20%28x%20-%201%29%28x%20-%209%29" id="TexFormula1" title=" \fr
Verdich [7]
The first step for solving this expression is to distribute \frac{3}{8} through the first set of parenthesis.
( \frac{3}{8}x -  \frac{3}{8}) × (x - 9)
Now use the FOIL method to multiply each term in the first parenthesis by each term in the second parenthesis. This will look like the following:
\frac{3}{8}x × x - \frac{3}{8}x × 9 - \frac{3}{8}x - \frac{3}{8} × (-9)
Remember that multiplying two negatives together equals a positive,, so the expression changes to:
\frac{3}{8}x × x - \frac{3}{8}x × 9 - \frac{3}{8}x + \frac{3}{8} × 9
Calculate the product of all of the sets of multiplication to make the expression become:
\frac{3}{8}x² - \frac{27}{8}x - \frac{3}{8}x + \frac{27}{8}
Lastly,, calculate the difference of - \frac{27}{8}x - \frac{3}{8}x to find your final answer.
\frac{3}{8}x² - \frac{15}{4}x + \frac{27}{8}
Let me know if you have any further questions.
:)
8 0
3 years ago
please.. this is due by midnight and i’m close to tears.. from a point in a straight road, Chris and Elena ride bicycles in the
blondinia [14]
Chris is going 10 mph. After 9 hours, Chris has gone 90 miles. Elena is going 14 mph. After 9 hours, she has gone 126 miles. 126 miles is 36 miles more then 90 miles.

10 \times 9 = 90 \\ 14 \times 9 = 126 \\ 126 - 90 = 36
4 0
3 years ago
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