Alan can run 5 miles in 40 minutes. If he maintains the same pace, what is the greatest number of miles he can run in 160 minutes?

A. 40

B. 60

C. 20

D. 30

Answer:

[tex]=2xy+6x^2-6x[/tex]

Step-by-step explanation:

[tex]-2x\left(-y-3x+3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2x\right)\left(-y\right)+\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:3\\\mathrm{Apply\:minus-plus\:rules}\\\left(-a\right)\left(-b\right)=ab,\:\:+\left(-a\right)=-a\\=2xy+2\cdot \:3xx-2\cdot \:3x\\\mathrm{Simplify}\:2xy+2\cdot \:3xx-2\cdot \:3x:\quad 2xy+6x^2-6x\\2xy+2\cdot \:3xx-2\cdot \:3x\\2\cdot \:3xx=6x^2\\2\cdot \:3x=6x\\=2xy+6x^2-6x[/tex]

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

20%

Step-by-step explanation:

Divided the two which is 80% so the increase is 20% I'm not good at explaining

Answer:

150-120=30

30/120=0.25

0.25=25%

25% is correct

120 x 0.25 = 30

120+ 30 = 150 so 25% is correct

Step-by-step explanation:

Answer:

So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!

Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it

Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance  of 5 from y-axis.

A point has two inputs namely the x-coordinate and y-coordinate. The  x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.

Given point is (2,5)

Plot x=2 at a perpendicular distance from y axis measured along positive x axis

plot y=5 at a perpendicular distance from x axis measured along positive y axis

and we get the required point.

The point (2,5)  is plotted in the graph attached with the answer.

Learn more about co-ordinates here:

https://brainly.com/question/27749090

#SPJ5

OPTION NUMBER D IS CORRECT

D.Both B and C.

Step-by-step explanation:

function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).

Answer:

6x+4

Step-by-step explanation:

First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.

Answer:

[tex]\fbox{\begin{minipage}{3em}6x + 4\end{minipage}}[/tex]

Step-by-step explanation:

[tex]A= \frac{1}{4} (8x + 16) + 4x[/tex]

Apply associate property:

[tex]A = \frac{1}{4} *8x + \frac{1}{4} *16 + 4x[/tex]

Simplify the first two components:

[tex]A = 2x + 4 + 4x[/tex]

Rearrange the components:

[tex]A = 2x + 4x + 4[/tex]

Simplify:

[tex]A = 6x + 4[/tex]

Hope this helps!

:)

Answer:

Step-by-step explanation:

No because rulers measure distance not angles. Rulers also do not have all the angles on them as they are not a protractor

Answer: 360 / 24 = 15

Step-by-step explanation :

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

15 sides

The polygon has 15 sides

360/24=15

Answer:

D. The data point is 2.5 standard deviations away from 0.5.

Step-by-step explanation:

Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.

Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.

i.e the data point is 2.5 standard deviations away from the mean 0.5.

Hope this helped!

Answer:

A is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

No. of classmates who like salsa music = (56÷100)×75 = 42

No. of relatives who like salsa music = (80÷100)×60 =48

How many more relatives like salsa as compared to classmates = 48-42= 6

Answer:

B)

Step-by-step explanation:

Common ratio = a2/a1 = 3/1 = 3

[tex]a_{n}=ar^{n-1}\\\\a_{4}=1*3^3\\\\ = 27[/tex]

Answer:

-1/5x -4/5 = y

Step-by-step explanation:

f(x) = -5x -4

y = -5x-4

Switch x and y

x = -5y -4

Solve for y

Add 4

x+4 = -5y

Divide by -5

-1/5x - 4/5 = -5y/-5

-1/5x -4/5 = y

Answer:

f(x) = -5x - 4

let f(x)= y

y = -5x -4

x = -5y - 4

-5y = x+4

y = - (x +4)/5

The inverse of f(x) is -(x +4)/5

Hope this helps.

Answer: the answer is A

Step-by-step explanation:

1st:subtract 42-14=28(the difference)

2nd: divide 42÷14=3

Answer:

45

Step-by-step explanation:

The two angles with measures are a linear pair and supplementary, so their measures add to 180 deg.

3x + x = 180

4x = 180

x = 45

____________________________________

Solution,

X°+3x°=180°( sum of angle in straight line)

or,4x°=180°

or,X=180/4

X=45

The right answer is 45

hope it helps

Good luck on your assignment

___________________________________

Answer:

317

Step-by-step explanation:

951/ 3 is 317

for this problem you can use a calculator, or long division.

Answer:

45 mph

Step-by-step explanation:

hope it helps!

Answer:

Step-by-step explanation:

x, y, z   -  numbers to find

The difference between 4 times the first number and the second number is negative 3:

4x - y = -3

  - y = -3 - 4x

    y = 3 + 4x

The sum of three numbers is 16:

x + y + z = 16

x + 4x + 3 + z = 16

 5x + z = 13

  z = 13 - 5x

The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 85:

2x + 5y + 6z = 85

2x + 5(3 + 4x) + 6(13-5x) = 85

2x + 15 + 20x + 78 - 30x = 85

      -8x + 93 = 85

        -8x = -8

          x = 1

y = 3 + 4•1 = 7

z = 13 - 5•1 = 8

Veryfying:

1 + 7 + 8 = 16

2•1 + 5•7 + 6•8 = 2 + 35 + 48 = 85

Answer:

1 hour and 24 min

Step-by-step explanation:

Jane does 3/4 job done in 21 min

Eleanor does 1/4 job done in 21 min

21*4=84

60+24

1 hour and 24 min

The work rate when they work together is much higher than when Eleanor

does the job herself.

Reasons:

Jane's work rate = 3 × Eleanor's work rate

The time it takes both Jane and Eleanor to do a job = 21 minutes

Required:

The time it would take Eleanor to do the job herself.

Solution:

Let x represent the portion of the job performed by Eleanor in the 21

minutes, we have;

The portion performed by Jane = 3 × x

Therefore;

The job done when they work together for 21 minutes = x + 3·x = 4·x

The time it takes Eleanor to do the job portion, x = 21 minutes

Therefore;

The time it will take Eleanor to do a job of 4·x = 4 × 21 minutes = 84 minutes

Learn more about work word problems here:

https://brainly.com/question/1376479

https://brainly.com/question/19819390

Answer:3,-7

Step-by-step explanation:

Points from correct answers: 8*10=80

Incorrect answers: 18*5=90

So total points is -10 points

Answer:

it is 768 in

Step-by-step explanation:

you multiply 32 by 24

Answer:

C. would be the answer.

Step-by-step explanation:

Hope this helps.

Answer:

the difference would be 28 degrees.

Step-by-step explanation:

The question says difference so we subtract the two following temperatures 30 and -2 which would be 28 degreees.

Answer: The difference between the high and low temperature in the thermometer is 32°F.

Step-by-step explanation:

Given information: Highest temperature = 30°F and the lowest temperature = -2°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 30°F - (-2°F)

Difference = 30°F + 2°F

Difference = 32°F

Answer:

2

Step-by-step explanation:

7 1/2 - 5 1/2

7.5 - 5.5

2

Answer:

1.32

Step-by-step explanation:

3 gallon = 1

12 quarts = 4

12 quarts =1

$15.84=  1.32

Answer:

$1.32 per quart

Step-by-step explanation:

To find the price per quart, we must divide the price by the number of quarts.

price / quarts

We are told that a 3 gallon container costs $15.84. First, we must find out how many quarts are in 3 gallons.

We know that 1 gallon is equal to 4 quarts.

Let’s set up a proportion.

quarts/ gallons = quarts/ gallons

4 quarts /1 gallon = x quarts/ 3 gallons

4/1= x/3

Multiply both sides by 3

3*4/1= x/3*3

3*4/1=x

3*4=x

12=x

There are 12 quarts in 3 gallons.

Now we know how many quarts are in 3 gallons. We can find the price per quart.

price / quarts

It costs $15.84 for 12 quarts.

$15.84/12 quarts

Divide 15.84 by 12

$1.32 / quart

It costs $1.32 per quart of window cleaner.

Answer:

D.

Step-by-step explanation:

They are parallel and therefore has the same slope.

Answer:

Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. For example, if you substitute x := 3 in x + x + 4, then you get 3 + 3 + 4, which works out to 10; and if you substitute it in 2x + 4, then you get 2(3) + 4, which also works out to 10.

Step-by-step explanation:

Answer:

the triangles are similar because y=34 and there are three pairs of congruent angles

Step-by-step explanation:

this is correct because all of the angles in a triangle add up to 180, so if y = 34 then 34 + 63 + 83 = 180

this also means x is equal to 83  which means both triangles share all of the same angle measures

Answer:

300 miles

Step-by-step explanation:

100 - 55 =45

45/.15 =300

so x = 300