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2 years ago

9. Kyle ran 150 feet in 15 seconds, how many hours would it take him to run 30 miles?

Mathematics

2 answers:

PtichkaEL [24]2 years ago

8 0

She runs 30 miles in 3 seconds

Elena-2011 [213]2 years ago

5 0

Answer: 4.2 hours

Step-by-step explanation:

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Determine the number of solutions to the following system of equations.

goldfiish [28.3K]

Answer:

A. one solution y=-3 and x=0

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Let’s pretend that we want to give our employees in total a28% raise in the next two years, but we want to spread out aconsisten

Roman55 [17]

Solution

- The solution steps are given below:

$\begin{gathered} \text{ Let the original amount be X} \\ \\ \text{ If we want a 28\% raise over the next two years, then it means that the amount will be:} \\ X+\frac{28}{100}X=1.28X \\ \\ \text{ If we want to give them a consistent raise each year, we can compute the scenario as follows:} \\ \text{ Let the percentage be }y \\ \\ X+y\%\text{ of }X=\text{ Salary after first year} \\ \\ (X+y\%\text{ of }X)+y\%\text{ of }(X+y\%\text{ of }X)\text{ = Salary after second year.} \\ \\ \text{ But we already know that the salary after second year is }1.28X \\ \text{ Thus, we can say:} \\ (X+y\%\text{ of }X)+y\%\text{ of }(X+y\%\text{ of }X)=1.28X \\ \\ \text{ Simplifying, we have:} \\ X+\frac{yX}{100}+\frac{y}{100}(X+\frac{yX}{100})=1.28X \\ \\ \text{ Divide through by }X \\ 1+\frac{y}{100}+\frac{y}{100}(1+\frac{y}{100})=1.28 \\ \\ \text{ Subtract 1 from both sides and expand the brackets} \\ \frac{y}{100}+\frac{y}{100}+(\frac{y}{100})^2=1.28-1=0.28 \\ \\ \frac{2y}{100}+(\frac{y}{100})^2=0.28 \\ \\ \text{ Multiply both sides by }100^2 \\ 200y+y^2=2800 \\ \\ \text{ Rewrite, we have:} \\ y^2+200y-2800=0 \\ \\ Solving\text{ the equation using the Quadratic formula, we have that:} \\ y=\frac{-200\pm\sqrt{200^2-4(-2800)}(1)}{2(1)} \\ \\ y=-213.137\text{ or }13.137 \\ \\ \text{ Since the change in salary is an increase, thus, the rate }y\text{ has to be positive.} \\ \text{ Thus, } \\ y=13.137\approx13.14\% \\ \\ \end{gathered}$

Final Answer

y = 13.14%

The screenshots of the solution are:

5 0

8 months ago

Plz help i am clueless

Ymorist [56]

Answer:

-3 and 3 for your start on your y axis and it goes up 2 and right one

5 0

3 years ago

10,<br> 17,24<br> Find the 46<br> th term.

Shtirlitz [24]

The difference between 10, 17 and 24 is 7, so we can write 7n
To get from 7 to 10 you add 3.
This can be written as 7n+3
Substitute 46 into n
7(46)+3
=325
I hope this helps.
Please mark me brainliest:)

8 0

2 years ago

Q. A pharmacist mixes 3 grams of compound with 5,000 milligrams of solution to create a prescription. How many total grams is th

Liula [17]

Answer: 8 grams

Step-by-step explanation:

We have two units of mass: grams and milligrams

The prescription has 3 grams of compound with 5,000 milligrams of solution.

To know how many grams in total there are in the mixture we must convert

5000 milligrams to grams.

By definition in 1 gram there are 1000 mg.

Then we perform the following operation

$5000\ mg * \frac{1\ grams}{1000\ mg}=5\ grams$

Then the total amount of grams in the prescription is:

$5+ 3=8\ grams$

7 0

3 years ago