Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 mile head start. Harper runs 0.5 miles per hour fastet than Lism. If harper and Liam run the same distance, how many hours, x, do they run?

Answers

Answer 1

Answer:

30 minutes = 0.5 hour

Step-by-step explanation:

0.5 miles faster than Liam:

4x + 0.25 = 4.5x

0.25 = 4.5x - 4x

0.25 = 0.5x

x = 0.25 / 0.5

x = 0.5 hours

x = 30 minutes


Related Questions


Please help me
what is the premiter of the semi circle​

Answers

Answer:

B

Step-by-step explanation:

the value of y is four less than one-third of x. what is the equation of the relationship

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Answer:

y=1/3x-4

Step-by-step explanation:

Answer:

y=1/3x-4

Step-by-step explanation:

4 is negative cause it says less than..

my head is empty for now, i rly can't with online classes

so anyone wanna help me?

Answers

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

Select the number line that correctly shows the calculation for |-4|.
I will give branliest!!!

Answers

Answer:

A.

Step-by-step explanation:

I think it is answer A

An invertible function is represented by the values in the table.
Which graph shows the inverse of this function?

Answers

Answer:

Graph B

Step-by-step explanation:

Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y.

In this exercise we have to identify the treated inverse function and the graph that corresponds to it, so we have that what corresponds to this is:

Graph B corresponds to the given function.

In this way, the inverse function corresponding to:

[tex]f^{-1}(x)[/tex]

Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y. So we will have that the graph that correctly corresponds to this function is graph B.

See more about inverse function at brainly.com/question/5245372

Anissa owns a brick house in the country worth $85,000, and the contents of the house are valued at $15,000. Use the table below to calculate her annual property insurance premium.

Annual Premium per $100 of coverage Brick Steel Mixed Wood Building Contents Building Contents Building Contents Building Contents rating City 0.39 0.43 0.5 0.54 0.55 0.65 0.66 0.76 Suburb 10.45 0.52 0.56 0.63 0.72 0.74 0.83 0.85 Rural 0.69 0.71 0.8 0.89 0.91 1 1.02

O A. $918.65
O B. $950.00
O C. $613.50
O D. $150.00​

Answers

Answer:

Step-by-step explanation:

$6903 so thos is the answer

Answer:

answer is $613.50

Step-by-step explanation:

1.) Determine if the coordinate points represent a function. (1.3). (2.6). (3.9). (4. 12). (5.15

O Function

O Not a Function

O both​

Answers

Answer:

Function

Step-by-step explanation:

These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.

Ocean water freezes at about -2 1/2 so silly fresh water freezes at zero anti-freeze a liquid used in radiators of cars freeze at -64 imagine if the temperature has dropped to the freezing point for ocean water how many degrees more most the temperature Drop for the anti-freeze to turn solid

Answers

Answer:

Temperature needs to drop by 61.5°

Step-by-step explanation:

Given that:

Freezing temperature of ocean water = - 2.5

Freezing temperature of fresh water = 0

Freezing temperature = anti-freeze = - 64

If temperature has dropped to freezing point for ocean water, then current temperature = - 2.5

How many more degrees must the temperature drop for temperature to turn solid :

Freezing temperature of anti-freeze - current temperature

-64 - (-2.5)

-64 + 2.5

-61.5

-61.5(the temperature needs to drop by 61.5°)

Please help me again

Answers

Answer:

The choice is B

vertex is (-3, 25/2)

i think it’s c because 3x+8 stands out to me nd that’s basically the vertex because ax+b is the vertex.

In ΔQRS, the measure of ∠S=90°, SQ = 47 feet, and RS = 70 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answers

Answer:

33.9

Step-by-step explanation:

What function uses the OPPOSITE and the ADJACENT?

tanR=  

adjacent /opposite

​  

=  

70/ 47

tanR=  

70 /47

R=tan  

−1

(  70 /47  )

​  

 

Walter took a total of 16 quizzes over the course of 2 weeks. After attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total?

Answers

Answer:

32 quizzes

Step-by-step explanation:

It is given that,

Walter took a total of 16 quizzes over the course of 2 weeks.

16 quizzes = 2 weeks

⇒ 1 weeks = 8 quizzes

We need to find attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total.

⇒ 4 weeks = 4 × 8 quizzes

= 32 quizzes

So, 32 quizzes will Walter have taken in total.

Once debbie arrives in each city,she'll need a backpack to carry around with her. What was the percent markup if a store bought the backpack for $25 ans somd it to debbie for $40

Answers

Answer:

60%

Step-by-step explanation:

40 / 25 - 1 = 60%

Find the area of a circle with a diameter 6

Answers

A≈28.27 hope this helps!

John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole ham sandwich and his friend ordered half of a ham sandwich. Their total bill is $12.54. What equation can you use to find the cost c of a sandwich, and what is the value of c

Answers

Answer:

a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26

Step-by-step explanation:

a. What equation can you use to find the cost c of a sandwich

Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich  + cost of a whole ham sandwich.

total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,

$12.54 = $ 1.65 + c/2 + c

b. What is the value of c

We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c

collecting like terms, we have

$12.54 - $ 1.65 = c/2 + c

$ 10.89 = 3c/2

multiplying through by 2, we have

$ 10.89 × 2 = 3c

$ 21.78 = 3c

dividing through by 3, we have

c = $ 21.78/3

= $ 7.26

A visual-effects model maker for a movie draws a spaceship using a ratio of 1 : 24. The drawing of the spaceship is 22 inches long. What is the length of the spaceship in the movie?
Group of answer choices

Answers

Answer:

Length of spaceship in movie = 528

Step-by-step explanation:

Given that:

Drawing ratio of spaceship = 1 : 24

It means that 1 inch on drawing equals 24 inches in movie

Drawing of spaceship = 22 inches

Length of spaceship in movie = x

As the relationship is proportional,

1 : 24 :: 22 : x

Product of mean = Product of extreme

24*22 = x

x = 528

Hence,

Length of spaceship in movie = 528

Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to O value after 12 years. How
much will your car be worth after 9 years?
b. What is the slope of the line?
A. 2300
B.27600
C. 2300
D.12

Answers

Answer:

x intercept=12,0

y intercept= 0,2700

Step-by-step explanation:

An isosceles triangle has angle measures of (2x degrees) and (5x degrees). What are three possible angle measures of the triangle? Show all work.

Answers

Answer:

[tex]40^{\circ},\:40^{\circ},\: 100^{\circ}[/tex]

Step-by-step explanation:

The interior angles of any triangle always add up to [tex]180^{\circ}[/tex]. In an isosceles triangle, (at least) two sides are congruent and therefore their base angles are also congruent. We can then form the following equation:

[tex]2x+2x+5x=180[/tex], where [tex]x[/tex] is some constant.

Solving, we get:

[tex]9x=180,\\x=20[/tex]

Therefore, plugging our constant back in, our angles are:

[tex]2(20),\: 2(20), \: 5(20), \\\fbox{$40^{\circ},\:40^{\circ},\: 100^{\circ}$}[/tex].

Note this is only one group of possible angles. We could've also set the angle represented by [tex]5x[/tex] to be the pair of angles that are congruent, and depending on your definition of isosceles, each angle measure could be [tex]60^{\circ}[/tex] (equilateral).

Answer:

100, 40, 40

Step-by-step explanation:

First, do 2x+2x+5x because an isosceles triangle has two equal angles. We know that a triangle's total angle is 180 degrees so we do 180/9=20 x=20. Then multiply 2 by 20 to get 40. Then multiply 5 by 20 to get 100. So you get 40 40 100.

Decrease £280 by 15%

Answers

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

Help me do 1/6+1/4 make sure the demonator is the same

Answers

Answer: [tex]\boxed{\boxed{\sf\frac{5}{12}=0.416666667}}[/tex]Solution Steps:

______________________________

1.) Find the LCF of 6 and 4: [tex]6,4=12[/tex]

 - We do this because in order to add these, they must have the same denominator. So you must find the LCF, (Least Common Factor) of 6 and 4.

2.) Convert the fractions to have the same denominator: [tex]\frac{1}{6}=\frac{2}{12}[/tex] [tex]\frac{1}{4}=\frac{3}{12}[/tex]

 - [tex]\frac{1}{6}[/tex] changes to [tex]\frac{2}{12}[/tex] by multiplying the numerator and denominator by 2. And  [tex]\frac{1}{4}[/tex] changes to [tex]\frac{3}{12}[/tex] because you multiply the numerator and denominator by 3.

3.) Add the numerators: [tex]2+3=5[/tex]

 - Since both fractions have the same denominator all you have to do is add the numerators together.

______________________________

Please help me on thisss

Answers

Answer:

Step-by-step explanation:

Substitute the value for x.

f(-5) = 3(-5) - 2

f(-5) = -15 - 2

f(-5) = -17

-17 I think sorry if this isn’t that answer

A store manager and stroke some new trainees that a book is priced at $21 winds up costing a customer $20.63 what does the tax is included which is the sale tax percentage

Answers

Answer:

1.76%

Step-by-step explanation:

Given

Original price of the book = $21

Price after sales percentage = $20.63

Discount = 21-20.63

Discount = $0.37

sale tax percentage = discount/original price × 100%

sale tax percentage = 0.37/21 × 100

sale tax percentage = 37/21

sale tax percentage = 1.76%

Hence the sale tax percentage is 1.76%

what is the slope of the line determine by the cordinates (0,0) and (2,1.2)

Answers

Answer:

[tex]\displaystyle m=0.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 1.2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                    [tex]\displaystyle m=\frac{1.2-0}{2-0}[/tex][Fraction] Subtract:                             [tex]\displaystyle m=\frac{1.2}{2}[/tex][Fraction] Divide:                                [tex]\displaystyle m=0.6[/tex]

Find the compound interest of $9080 for
[tex]2 \frac{1}{2} [/tex]
years at 5% per annum​

Answers

Answer:

I have made it in above picture

the product of 25/-15 x 9 is

Answers

Step-by-step explanation:

25/-15×9

The answer is -15

Geometry work pls help

Answers

Answer:

true

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

THE FIGURE HAS PARALLEL LINES.

Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?

Answers

Given:

Amount spent on 2 DVDs = $41.75

Sales tax = $3.15

Coupon = $1.00 off

To find:

The cost of each DVD.

Solution:

Let x be the cost of each DVD.

Then, cost of two DVDs = 2x

Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount

[tex]41.75=2x+3.15-1.00[/tex]

[tex]41.75=2x+2.15[/tex]

[tex]41.75-2.15=2x[/tex]

[tex]39.6=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{39.6}{2}=x[/tex]

[tex]19.8=x[/tex]

Therefore, the cost of each DVD is $19.8.

Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.

Answers

Answer:

8x = 136

Where: x = 17

Step-by-step explanation:

Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.

Let the number of pages read per day = x

Hence, the number of pages after 8 days = 8 × x = 8x

Total number of pages = y= 136

Therefore:an equation relating x, the number of days, to y, the total pages.

= 136 = 8x

Solving for x

136/8 = x

x = 17

Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10

Answers

They will have to drive 11.9 more miles

Thursday night, Larry goes to the local game shop. He purchases three new video games for $15.99 each. If the sales tax is 4.5%, how much does he spend?

Answers

Answer:

15.99 X 3 = 47.97

47.97/100 X 104.5 = 50.12865

$50.13

Can someone help me on this

Answers

9514 1404 393

Answer:

  100°

Step-by-step explanation:

Angle AKC is a vertical angle with angle BKD, so has the same measure. Since K is the center of the circle, arc AC has the same measure as angle AKC: 100°.

__

A diagram may help.

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