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stepan [7]
3 years ago
5

Last week at the park, Heather ran 4 miles in 48 minutes. When she runs her next race, she hopes to improve her time by 2 minute

s per mile.
Last week at the park, what was Heather’s rate of speed in miles per hour? Use words and/or numbers to explain your answer.​
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

she ran 10 miles a hour

Step-by-step explanation:

she runs 10 miles a hour because she wants to improve her time per mile by 2 minutes so you do 2x4 and get 8, then you subtract 8 from 48 and get 40 then you divide 40 by 4 and get 10

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Simplifying fractons
Radda [10]
This calculator will first reduce the improper fraction to lowest terms by dividing numerator and denominator by the greatest common factor (GCF). The GCF of 45 and 10 is 5. The remainder is 1. With 1 as the numerator and 2 as the reduced denominator, the fraction part of the mixed number is 1/2.
7 0
3 years ago
Read 2 more answers
Jason had to replace the floor of a triangular portion of his dining room. The portion had a height that was twice as high as th
Eva8 [605]

Answer:

4 feet

Step-by-step explanation:

We know the the area of a triangle can be represented as \frac{bh}{2}.

Since the height is twice the base, we can substitute the value 2b in as h in the expression, making it \frac{b\cdot2b}{2}. If the area is 16, we can make the equation

\frac{b\cdot2b}{2} = 16

Now to solve for b.

\frac{2b^2}{2} = 16\\\frac{2b^2}{2}\cdot2 = 16\cdot2\\\\2b^2 = 32\\\\2b^2\div2 = 32\div2\\\\b^2 = 16\\\\b=4

Hope this helped!

3 0
3 years ago
A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function
Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

m(t) = 120e^-^0^.^0^1^8^(^5^0^)

m(t) = 120e^-^0^.^9

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

Learn more about half-life here:

brainly.com/question/26148784

#SPJ1

7 0
2 years ago
The price of the technologies stock was $9.52 yesterday. Today the price rose to $9.65. Find the percentage increase
Cloud [144]

Answer:2.63%


Step-by-step explanation:9.65-9.25=0.40

0.40÷9.25×100=

2.63℅ rounded off to 2decimal places.


4 0
3 years ago
A city has a population of 250,000 people. Suppose that each year the population grows by 6%. What will the population be after
irinina [24]

Answer:

503,049

Step-by-step explanation:

250,000 × 1.06^12 is the formula.

You take the percentage which is 6% and you add 1 to it.

So, you get 1.06

Then you take the 1.06 and raise it to the number of years which is 12.

1.06^12

Then you multiply that number to the base number which is 250,000 and get 503,049.

Hope this helps!

5 0
3 years ago
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