Please help meeeee!!!!

Sam ran 3 1/2 miles in 25 minutes. If he continues running at this pace how far will he run in 1 hour

zheka24 [161]

Answer: 8.4 or 8 2/5

Step-by-step explanation:

3 1/2 for 25 minutes and 0.14 miles per minute so 0.14 * 60 since there are 60 minutews in a hour and you get ur answer.

5 0

3 years ago

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Solving systems of equations by substitution

zepelin [54]

Equation 1) 2x - 3y = -1
Equation 2) y = x - 1

We want both equations to be in standard form (Ax+By=C) so we need to fix the second equation.

For the second equation, simply subtract x from both sides, so that x & y are on the same side of the equal sign :)

2) -x + y = -1
1) 2x - 3y = -1

Now, we have to multiply ALL of equation 2 by 2 so that both equations 1 & 2 have "2x" in them :)

2) 2(-x + y = -1)

Simplify.

2) -2x + 2y = -2
1) 2x - 3y = -1

Now, add these equations together.

-y = -3

Divide both sides by -1.

y = 3

Now, plug in 3 for y in the first equation.

1) 2x - 3y = -1

2x - 3(3) = -1

Simplify.

2x - 9 = -1

Then, add 9 to both sides.

2x = -1 + 9

Simplify.

2x = 8

Divide both sides by 2.

x = 4

So, x = 4 & y = 3

~Hope I helped!~

6 0

3 years ago

Find the domain of the function

trapecia [35]

Answer:

{x|x¥8} is the answer to the question

5 0

3 years ago

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A comet travels along a parabolic path around the Sun. The Sun is the focus of the path. When the comet is at the vertex of the

AlladinOne [14]

Remember that for a function of the form $y=a x^{2}$ , a parabola, the focus will be: $(0, \frac{1}{4a} )$ .
We know that the vertex of the parabola is (0,0), and the sun is the focus of the parabola; we also know that the focus is in the positive y-axis and when the comet is as its vertex, the distance between them is 60'000.000 km; therefore the focus of our parabola is (0, 60'000.000).
Now that we know the focus, we can find $a$ using the focus of the parabola:
$\frac{1}{4a} =60'000.000$
$1=(60'000.000)(4a)$
$1=240'000.000a$
$a= \frac{1}{240'000.000}$

Now, the only thing left is replacing the value of $a$ in our equation $y=a x^{2}$ :
$y=( \frac{1}{240'000.000)} ) x^{2}$
$y= \frac{ x^{2} }{240'000.000}$

We can conclude that the equation that represents the path of the comet is $y= \frac{ x^{2} }{240'000.000}$

5 0

3 years ago

PLEASE help due today

fomenos

Answer: Number 3; $1250

Number 4; Salesperson A ($7428.30)

Number 5; 18%

Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.

Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;

I = P x R x T

I = 5000 x 0.05 x 5

I = 1250

Therefore Joanna will pay $1,250 as interest

(No 4) The amount made by both salespersons is shown as follows;

A = 11% x 67530

A = 0.11 x 67530

A = 7,428.30

B= 8% x 85740

B = 0.08 x 85740

B = 6,859.20

Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30

(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;

Percent paid = (entertainment/total income) x 100

Percent paid= (6840/38000) x 100

Percent paid = 684000/38000

Percent paid = 18

Therefore he paid 18% for entertainment

(6) Nora makes a total of 3000 a month broken down as follows;

Rent = (26/100) x 3000

Rent = 0.26 x 3000

Rent = 780

Food = (30/100) x 3000

Food = 0.30 x 3000

Food = 900

Medical = (15/100) x 3000

Medical = 0.15 x 3000

Medical = 450

Clothes = (10/100) x 300

Clothes = 0.10 x 3000

Clothes = 300

Miscellaneous = (19/100) x 3000

Miscellaneous = 0.19 x 3000

Miscellaneous = 570

4 0

3 years ago

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