Two runners start from the same point at the same time. They will be 4 miles apart at the end of two hours if running in the same direction, and they will be 16 miles apart at the end of one hour if running in opposite directions. Find their speeds.

Answers

Answer 1

Answer:

runner 1 runs with 9 miles / hour

runner 2 runs with 7 miles / hour

Step-by-step explanation:

x = speed of runner 1

y = speed of runner 2

2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles

2x - 2y = 4

x - y = 2

x = y + 2

1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16

x + y = 16

y + 2 + y = 16

2y + 2 = 16

2y = 14

y = 7 miles / hour

x = y + 2 = 9 miles / hour


Related Questions

Simplify variable expressions involving like terms and the distributive property

Answers

Answer:

gracias por los puntos xd

Devons current financial goals are to reduce his credit card debt start a retirement plan and save for a down payment on a house which smart goal attribute in the table applies to each of devons financial goals

Answers

Answer:

timely, timely,measurable

Step-by-step explanation:

Answer:

specific, timely, measurable

Step-by-step explanation:

i took the test on plato

Dado un rectángulo cuya base, lado mayor es 15 cm y cuya altura, lado menor, es 10 cm. Calcular el perímetro y el área
ayuda es para hoy doy 5 estrellas

Answers

Answer:

Área de un rectángulo = 150 cm²

El perímetro de un rectángulo = 50 cm

Step-by-step explanation:

Área de un rectángulo = largo × ancho (alto)

= 15 cm × 10 cm

= 150 cm²

El perímetro de un rectángulo = 2L + 2W

Donde L = longitud = 15 cm

W = Ancho = 10 cm

= 2 (15 cm) + 2 (10 cm)

= 30 + 20

= 50cm

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = 1/2 (x - 1). What is the slope-intercept for of the equation for this line?

A.) y = 1/2x + 2

B.) y = 1/2x - 4

C.) y = 1/2x + 5/2

D.) y = 1/2x - 7/2

PLEASE HELP!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

To convert from point-slope form to slope-intercept form, we can simplify and isolate the y.

We have the equation:

[tex]\displaystyle y-3=\frac{1}{2}(x-1)[/tex]

Distribute the right-hand side:

[tex]\displaystyle y-3=\frac{1}{2}x-\frac{1}{2}[/tex]

Add 3 to both sides:

[tex]\begin{aligned} \displaystyle y&=\frac{1}{2}x-\frac{1}{2}+3\\\\&=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2}\\\\&=\frac{1}{2}x+\frac{5}{2}\end{aligned}[/tex]

Our answer is C.

Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?

Answers

Answer: Martina's margin of error is 1.5.

Step-by-step explanation:

Given: Average graduate student (upper limit) = 33

Random sample graduate student (lower limit) = 30

Formula to calculate margin of error is as follows.

Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]

Substitute the values into above formula as follows.

[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]

Thus, we can conclude that Martina's margin of error is 1.5.

749
B
C
(2y +34)
Okay

Answers

...........................

HELP NOW!!! Yani buys 4 dozen flyers for $7.80. What is the unit rate?

Answers

Answer:

1.95

Step-by-step explanation:

25 points!!!!!!!!!!!!!!!!!!!!!!
2x+2y=, for ,x=-2,y=5

Answers

Answer:

6

Step-by-step explanation:

2x+2y=2*(-2)+2*5=6

Answer:

6

Step-by-step explanation:

Substitute x = - 2, y = 5 into the expression

2x + 2y

= 2(- 2) + 2(5)

= - 4 + 10

= 6

There jar of milk contains 40 litre,50 litre, and 60 litre of milk. Find the greatest capacity of vessel which can empty out each jar with the exact number of fillings​

Answers

Answer:

10

Step-by-step explanation:

Do HCF of 40,50,60 and the answer is 10

how do i solve for x with an equation that says 19 = x - 3

Answers

Answer: x = 22

Step-by-step explanation: Since x is unknown, we want to isolate it and determine what it equals. We know that x - 3 gives us 19, but we don't want to know what x - 3 is, just x. So we can add three to both sides of the equation, to get our answer and keep it balanced. As a result, we get x = 22

Answer:

x = 22

Step-by-step explanation:

19 = x - 3

Add 3 to each side

19 + 3 = x - 3 + 3

Simplify

22 = x

What is in ? Record the measurement.

Answers

Answer:

In could be mean inches? otherwise there is not enough context to know sorry :/

Step-by-step explanation:

Answer:the answer is 90

Solve 4(x - 3) - 2x - 1) > 0​

Answers

Answer:

x > 5.5

Step-by-step explanation:

4(x - 3) - (2x - 1) > 0

4x - 12 - 2x + 1 > 0

4x - 2x - 11 > 0

2x - 11 > 0

2x - 11 + 11 > 0 + 11

2x > 11

2x ÷ 2 > 11 ÷ 2

x > 5.5

Answer:

x>13/2

Step-by-step explanation:

4x-12-2x-1>0

2x-13>0

2x>13

X>13/2

Solve the system of equations: y=2x+1. y=x^2+2x-8

Answers

Answer:

Step-by-step explanation:

Answer:

(- 3, - 5 ) , (3, 7 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 1 → (1)

y = x² + 2x - 8 → (2)

Substitute y = x² + 2x - 8 into (1)

x² + 2x - 8 = 2x + 1 ( subtract 2x + 1 from both sides )

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

Substitute these values into (1) for corresponding values of y

x = - 3 : y = 2(- 3) + 1 = - 6 + 1 = - 5 ⇒ (- 3, - 5 )

x = 3 : y = 2(3) + 1 = 6 + 1 = 7 ⇒ (3, 7 )

probability please help i will give brainliest

Answers

There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.

After putting back the first marble, the probability of drawing another red is again 5/11.

So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.

Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?

Answers

Answer:

8.8%

Step-by-step explanation:

We first divide the new amount by the original and close it with brackets.

Our one year will be shown as 1/1 as an indices

(761.60/700)^1/1

= 1.088

We then convert it to 0.088 and times it by 100.

0.088×100= 8.8% Compound interest rate.

This is correct as:

700×1.088= 761.6

Have a nice day! :)

What is the area of a rectangle with vertices at 4,3 11,3 11,9 4.9

Answers

Answer:

42 units²

Step-by-step explanation:

the area = (11-4) × (9-3)

=7×6 = 42 units²

Which of these shows 9 + 4p rewritten using the commutative property of addition?
4p + 9
9p + 4
9 − 4p
4p − 9

Answers

Answer:

[tex]4p + 9[/tex]

Step-by-step explanation:

Commutative property of addition:

Changing the order of addends does not change the sum.

Hope it is helpful...

Answer:

4p+9

Step-by-step explanation:

Addition is the same reversed.

For example,

7+5=12

AND

5+7=12

Written as a simplified polynomial in standard form, what is the result when (2x - 7) ^ 2 is subtracted from 1?

Answers

Answer:

ans: -4( x-3 )( x-4 ) I.e -4( x² + x - 12 )

Step-by-step explanation:

as per question

1- (2x-7)²

= (1 + 2x - 7)(1- 2x + 7)

= ( 2x - 6)(-2x +8)

= -4(x-3)(x+4)

The simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].

And we get, [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.

What is the polynomial?

Polynomials are algebraic expressions that consist of variables and coefficients.

What is the identity for [tex](a-b)^{2}[/tex]?

[tex](a-b)^{2} =a^{2} +b^{2} -2ab[/tex]

According to the given question

We have a polynomial [tex](2x -7)^{2}[/tex].

Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is given by

[tex](2x-7)^{2} =(2x)^{2} +(7)^{2} -2(2x)(7)[/tex]

⇒[tex](2x-7)^{2} =4x^{2} +49-28x[/tex]

Therefore, the simplified form of [tex](2x-7)^{2}[/tex] is [tex]4x^{2} +49-28x[/tex].

Now,

[tex]1-(4x^{2} +49-28x)= 1-4x^{2} -49+28x[/tex]

⇒[tex]1-(4x^{2} +49-28x)=-4x^{2} -48+28x[/tex]

Hence, we get [tex]-4x^{2} -48+28x[/tex] when we subtract [tex](2x-7)^{2}[/tex] from 1.

Learn more about polynomials here:

https://brainly.com/question/11536910

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The quantity p varies inversely as the square of (q + 2)
p=5 when q = 3
Find p when q = 8​

Answers

Answer:

p = 1.25

Step-by-step explanation:

varies inversely

p (q + 2)² = k

-----------------------

Find k

p=5 when q = 3

5(3 + 2)² = k

5(25) = k

125 = k

----------------------

Find p when q = 8​

p(8 + 2)² = 125

p(100) = 125

divide both sides by 100

p = 1.25

HELP PLEASE ITS DUE TODAY!


I'll give brainliest.

Answers

Answer:

930=9 hundreds 3 tens

93times10

80=8 tens

320= 3 hundreds 2 tens

8000=8 thousands

HELP PLEASE! 50 points

Answers

Answer:

D. 270°

Step-by-step explanation:

mADC = 360° - m∠AOCmADC = 360° - 90° = 270°

Correct choice is D

Answer:

D. 270°

Step-by-step explanation:

I need help in this question

Answers

Answer:

the think the answer is €170

because 15000+20/100

= 170

Which peicewise function is shown in the graph?​

Answers

Answer:

Option (1)

Step-by-step explanation:

From the graph of the piecewise function,

There are two pieces of the function,

1). Segment (1) having x < 0

2). Segment (2) having x ≥ 0

Segment (1),

Segment starts with a hollow circle at x = 0 and passes through two points (0, 1) and (-2, 2)

Slope of the segment = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                     = [tex]\frac{2-1}{-2-0}[/tex]

                                     = [tex]-\frac{1}{2}[/tex]

Equation of the segment passing through (-2, 2) with slope = [tex]-\frac{1}{2}[/tex],

[tex]y-y'=m(x-x')[/tex]

[tex]y-2=-\frac{1}{2}(x+2)[/tex]

[tex]y=-\frac{1}{2}x-1+2[/tex]

[tex]y=-\frac{1}{2}x+1[/tex]

[tex]y=-0.5x+1[/tex] For x < 0

Segment (2),

Segment starts with a solid circle at x = 0 and passes through (0, -2) and (2,2)

Slope of the segment = [tex]\frac{2+2}{2-0}[/tex]

                                    = 2

Equation of the segment passing through (0, -2) and slope = 2,

y - y' = m(x - x')

y + 2 = 2(x - 0)

y = 2x - 2 For x ≥ 0

Therefore, Option (1) will be the correct option.

In parallelogram QRST if m∡TQR=50∘ find m∡STQ.

Answers

Answer:

[tex] {x }^{o} = {130}^{o} [/tex]

Step-by-step explanation:

[tex] {50}^{o} + {x}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} = {180}^{o} - {50}^{o} [/tex]

[tex] {x }^{o} = {130}^{o} [/tex]

Hope it is helpful....

Answer:

x= 130°

Step-by-step explanation:

hope it helps

pls help plsssss sss sss sss s

Answers

25√2

Step-by-step explanation:

Since angle BAC and angle ABC are equal, AB = BC.

Let x = AB = BC

By the Pythagorean theorem,

AB² + BC² = AC²

x² + x² = 50²

2x² = 2500

x²= 1250

x = √1250

x = √(2 • 625)

x = √2 • √625

x = √2 • 25

x = 25√2

x = AB = 25√2

What is the slope of the line that passes through the points (3,2) and (-4,3)?​

Answers

Answer:

slope = 1/-7

Step-by-step explanation:

We have two points which are (3,2) and (-4,3) .

To find slope , use the slope formula

m = ( y² - y¹ ) / ( x² - x¹)

Where,

m is the slope of line.( y² - y¹ ) = ( 3 - 2 )( x² - x¹) = ( - 4 - 3)

substitute the values

m = ( 3 - 2 ) / ( - 4 - 3)

m = 1/-7

Hence, slope of line is 1/-7

Select the correct answer.

Which number is an irrational number?


A. √100

B. 1/8

C. -2.2675

D. ^3√16

Answers

Well i remember doing this awhile back but your not giving very much detail but i think it’s c if I’m wrong just correct me

The none of no irrational number in the given option.

What is an irrational number?

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

In another word, irrational numbers are those numbers that can not terminate.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

Among the given option

A) √100 = 10 which is integer.

B) 1/8 were 1 and 8 both integer.

C)  -2.2675 here also it is an integer.

D)  [tex]0^{12}[/tex] which is 0 so it is also a rational number.

Hence none of the irrational numbers. It might be possible that there is a typing mistake in the question or in option D there is something else.

For more about the irrational number

https://brainly.com/question/4031928

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Find the reciprocal of 9.

Answers

the reciprocal of 9 is 1 divided by 9, i.e. 1/9

Kevin buys the items listed below at a grocery store. 3 packages of chicken priced at $12.36 per package 12 pound of broccoli priced at $1.98 per pound 1 gallon of milk priced at $6.48 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.45 in change. What amount of money does Kevin use to pay for the items?

Answers

Answer:

67.77$ Kevin use to pays for the items.

Step-by-step explanation:

According To the Question, We have

Kevin buys the item listed below at a grocery store

3 Packages of chicken priced 12.36$ per package = 12.36×3=37.08$12 Pound of Broccoli Priced 1.98$ per pound = 1.98×12 = 23.76$1 gallon of milk priced 6.48$ per gallon = 6.48×1 = 6.48$

Now, Kevin Pays for the items and receives 0.45$ in Change.

Amount of Money Kevin Pays

6.48$+23.76$+37.08$+0.45$ = 67.77$

Please help me the picture is above I’ll mark as brainliest. I really need the answer

Answers

I think that is is 65 cubic inches in a box
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