Julie travels 3 times as fast as Bill. Traveling in opposite directions, they are 190 miles apart after 2.5 hours. Find their rates of travel.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let b

Bill's rate of travel = x

Let Julie's rate of travel = 3x

The time each travels is 2.5 hours

Together they travel a distance of 190 miles

d = r*t

Bill's distance covered is r * t = 2.5x

Julie's distance travel is 2.5 * 3x = 7.5x

The total distance = Bill + Julie

2.5x + 7.5x = 190

10x = 190

x = 190/10

x = 19

Bill's distance = 2.5 * 19 = 47.5

Julie's distance = 19 * 7.5 = 142.5

Rate = distance / time

Bill's rate = 47.5 / 2.5 = 19 miles per hour.

Julie's rate = 142.5/2.5 = 57 miles per hour

Is there an easier way?

You should notice that Bill's rate is just x which is 19 miles / hour

You can also notice that Julie is going 3 times as fast or 19*3 = 57


Related Questions

Solve the equation for the indicated variable. A=r+rvf, for v

Answers

Answera=frv+r

Step-by-step explanationa=r+rvf

To solve for a variable in an equation means that we change the subject of the formula. The solution to the equation for variable v is:

[tex]\frac{A - r}{rf} = v[/tex]

Given that:

[tex]A = r + rvf[/tex]

Subtract r from both sides

[tex]A - r = rvf[/tex]

Divide both sides by rf

[tex]\frac{A - r}{rf} = v[/tex]

Rewrite as:

[tex]v=\frac{A - r}{rf}[/tex]

Hence, the solution to the equation for variable v is:

[tex]\frac{A - r}{rf} = v[/tex]

Read more about subject of the formula at:

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PLEASE HELP 15 POINTS!!!!!! What is the value of x?

Answers

Answer:

128 degrees

Step-by-step explanation:

Remember : Sum of all angles in a hexagon is 720°!

Thus,

128° + 100° + 120° + X + 112° + 133° =720°

=> 593 + X = 720

=> X = 127°

The school needs to buy new computers for four classrooms. If the school needs 20 new computers in each classroom, how many computers does it need to buy in total? Explain

Answers

Answer:

80 computers

Step-by-step explanation:

For 1 class=20 computers

For 4 classes=20x4=80 computers

solve for x



x/3 + 14 = 35
Can you help?

Answers

Answer:

X=63

Step-by-step explanation:

Im pretty sure at least

The answer for it isX=63

If f(x) = 5 + 4x^2, then f(3) =

Answers

Answer:

f(3) = 41

Step-by-step explanation:

f(x) = 5 + 4x²

To find f(3) substitute the value of x that's 3 into f (x) which means for every x in f (x) replace it with 3

That's

f(3) = 5 + 4(3)²

= 5 + 4( 9)

= 5 + 36

We have the final answer as

f(3) = 41

Hope this helps you

Step-by-step explanation:

F(3) = 5 + 4(3)^2

f (3) = 5 = 36

f(3) = 41

Hope i helped u

What numbers are rational numbers

Answers

Answer:

Every integer is a rational number. Numbers like 1/2, 454/242, and -6/9 are also rational because they are fractions whose numerator and denominator are integers. All in all, a rational number is any number that can be written as a simple fraction.

Hope this helps!

ILL GIVE YOU BRAINLIST !!

Flying L helicopter was flying 400 feet above sea level, then descended 100 feet to
avoid bad weather. When the clouds cleared, it ascended 200 feet. Write an expression, then determine the integer that represents Flying L's elevation now.

Answers

Answer:

500ft

Step-by-step explanation:

Elevation = 400ft-100ft+200ft

Elevation = 500ft

If you need an expression with only variables, set 400, 100, 200, and elevation as separate variables

Select the correct answer from each drop-down menu. Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A(x) = 2,400x + 40x2. His total savings, S, in x months is given by the function S(x) = 250x + 500. The function E(x) = represents Ashton’s total expenses in x months. Ashton’s expenses for 3 years total $

Answers

Answer:

E(x) = 40x² + 2150x - 500E(36) = $128740

Step-by-step explanation:

Earnings = A(x)Savings = S(x)Expenses = E(x)

Savings = Earnings - Expenses Expenses = Earnings - Savings

E(x) = A(x) - S(x)E(x) = 2400x + 40x² - (250x + 500) E(x) = 2400x + 40x² - 250x - 500 E(x) = 40x² + 2150x - 500

E(3 years) = E(36 months)

E(36) = 40*36² + 2150*36 - 500=  $128740

10 times 10 times 10 times 10 times 10

Answers

Answer:

100000

Step-by-step explanation:

10x10x10x10x10=100000

Answer:

100,000

Step-by-step explanation:

1.10 times 10=100

2.10 times 10 again

3.multiply 100 times 100

4.get 100,00

Match each number with the amount that represents 10% of that number​

Answers

Answer:

.

Step-by-step explanation:

11. If a square has an area of 121 square meters, what is the side length? A. 60.5 m B. 12 m C. 11 m D. 484 m​

Answers

Answc

Step-by-step explanation:

answer= C. 11m

Solve for x
-2x + 7 = 25

Answers

Answer:

-9

Step-by-step explanation:

Step 1:

-2x + 7 = 25

Step 2:

-2x = 18

Step 3:

-18 = 2x

Answer:

-9

Hope This Helps :)

Answer: -9

Step-by-step explanation: hope this helped ❤️

On average, which country user's spend the most time on social media? Which country's users spend the least time?

Answers

Answer:

Israel  top,  canada bottom

Step-by-step explanation:

Don't worry, I have this question too :)

Answer:

On average, Israel's country's users spend the most time on social media. United States' country's users spend the least time.

Step-by-step explanation:

Using the given inputs, we will rewrite these as decimals.

The only fractions that are listed are:

United States - 7 3/5

Canada - 7 7/10

Russia - 10 2/5

Colombia - 8 1/2

To convert a fraction to a decimal, we have to divide the numerator to the denominator. Add this decimal number to the whole number part of the mixed number.

So now, we get:

United States - 7.60

Canada - 7.70

Russia - 10.40

Colombia - 8.50

To determine which ones are greater than the others, you add a 0 to the end of the decimal.

The number with the least value here is 7.6, and the number with the largest value is 10.4. So, Israel's country's users spend the most time on social media. United State's country's users spend the least time on social media.

in which does -5/8 belong in

Answers

Answer:

It is a rational number, an integer, and a negative number.

It’s a rational number,integer,negative number

A refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollars and cents?

Be sure to use the correct place value.

Answers

Answer:

Sales tax=$31.53

The total price is: $557.03

Step-by-step explanation:

$525.50*0.06=$31.53

Suppose there are two scale drawings of the same house. One uses the scale of 1 cm to 2 m, and the other uses the scale 1 cm to 4 m. Which drawing is larger?

Answers

Answer:

it's 1 cm to 2 m

Step-by-step explanation:

Sometimes two different scales are actually equivalent, such as 5 cm to 10 m and 1 cm to 2 m. It is common to write a scale so that it tells you what one unit on the scale drawing represents (for example, 1 cm to 2 m).

Need some help on this question Select the polynomial that is divisible by (x-1).

Answers

Answer:

A

Step-by-step explanation:

p(x)=5x^3−4x^2−x

what number increase by 25 become s 150​

Answers

Answer:

125

Step-by-step explanation:

n= 25 less than 150

150-25= 125

n= 125.

is each number correctly expressed in scientific notation? Choose yes or no​

Answers

answer : yes



explication :

If and are equivalent, what is the value of x?

Answers

Answer:

is the value of x. Step-by-step explanation: We have been given the two terms which are equivalent means they have equal value: and . So, by the given information: we have to solve for x: Firstly, we will cross multiply so, we will get: After simplification we will get the final result is the value of x.

Step-by-step explanation:

Sarah is 9 years old. Sarah's grandfather is 90 year old. Sarah's grandfather is how many times as old as Sarah?

Answers

Answer:

10 times older

Step-by-step explanation:

name brainliest

Answer:

10 times

Step-by-step explanation:

Basically it is asking you this:

90/9 which is 90 divided by 9.

Please solve 2x+6 > 20

Answers

Answer:

See below.

Step-by-step explanation:

So we have the inequality:

[tex]2x+6>20[/tex]

Subtract 6 from both sides:

[tex]2x>14[/tex]

Divide both sides by 2:

[tex]x>7[/tex]

So, the solution is all numbers greater than 7.

And we're done!

Compare the three data sets on the right.


​(a) Which data set has the greatest sample standard​ deviation?


Which data set has the least sample standard​ deviation?


​(b) How are the data sets the​ same? How do they​ differ?

Answers

Answer:A just took the test and got a 100

a) The graph II will tell the greatest sample standard​ deviation.

and, the least sample standard​ deviation is given by Graph III.

b)  The three data sets have same mean, median and mode but different

standard deviation.

what is Standard Deviation?

The term "standard deviation" (or "[tex]\sigma[/tex]") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

From the Graph we can say the the dispersion of data from the mean tells about the Standard deviation.

Then, the graph II will tell the greatest sample standard​ deviation.

and, the least sample standarddeviation is given by Graph III.

b)  The data sets have same mean but different standard deviation.

So, The three data sets have same mean, median and mode but different

standard deviation.

Learn more about Standard Deviation here:

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A contractor is tiling the bottom of a round fish pond with 1-inch square tiles that cost $0.12 each. the fishpond has a diameter of 30 inches. how much will he spend on tiles?

Answers

Answer:

about $3.60

Step-by-step explanation:

Because it's a round pond and the tiles are square they might be cut a little but the main point of the question would be the 12 cents PER tile. Per is the one of the words to show multiplication. So you multiply .12 x 30 to get 3.6 and since this is money it would be $3.60

Hope that helps and have a great day!

Answer: $84.78

Step-by-step explanation:

If the bottom of the fish pond is round which means it has to be a circle, and to find the space that needs to be covered,you need to find the area of the bottom of the pond.

So it has a diameter of 30  and to find the area you need to find the radius,square it and multiply it by pi.  

The radius will be 15 because the radius is half the diameter.

A= 15^2 * 3.14   we will use 3.14  as an approximation for pi.

A= 225 * 3.14

A= 706.5  

Now after you have find the area multiply it by the amount of money that each tile cost to fin the total amount of money you have to pay.

706.5 * 0.12= 84.78

So approximately you will spend $84.78 on tiles

At a grocery store, almonds are on sale for $3.78 per pound. What is the price of 4.5 pounds? Please show explanation

Answers

Answer:
$17.01
Step-by-step explanation:
To find the the price, you must find price per pound x how many pounds you will be priced for
price per pound x how many pounds you will be priced for
This is represented by 3.78 x 4.5
3.78 x 4.5 = 17.01
$17.01 is the cost of 4.5 pounds of almonds

Answer:

17.01 pounds

Step-by-step explanation:

3.78 x 4.5 = 17.01

Hope this helps!

If the Perimeter of the triangle 15 centimeters, what is the value of n

Answers

Answer:

Step-by-step explanation:

n+2n+1+5n-6=15

= 8n + 1 - 6= 15

= 8n + 1 - 6 + 6 = 15 + 6

= 8n +1 = 21

= 8n + 1 - 1 = 21 - 1

=8n = 20

= 8n / 8 = 20 / 8

= n = 2.5

the value of ‘n’ is 2.5

The value of n in the triangle is 2.5

How to determine the value of n?

The perimeter of the triangle is the sum of its side lengths.

So, we have:

P = n + 2n + 1 + 5n - 6

Evaluate the like terms

P = 8n - 5

The perimeter is 15.

So, we have:

8n - 5 = 15

Add 5 to both sides

8n = 20

Divide by 8

n = 2.5

Hence, the value of n is 2.5

Read more about perimeter at:

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Need help please show much work as possible thank you

Answers

Answer to part A:  11w^2+7z^2

Answer to part B:  14w^2+9w

=================================================

Explanation:

For part A, the expression 4w^2+7w^2+7z^2 has one pair of like terms. That pair is 4w^2 and 7w^2 which combine to 11w^2. You add the coefficients to get 4+7 = 11, then tack w^2 onto everything to say 4w^2+7w^2 = 11w^2

We cannot combine 11w^2 and 7z^2 as they aren't like terms. So we leave it as 11w^2+7z^2

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

In part B, the like terms are 15w and -9w. They combine to 15w-9w = 6w. You can think of it like 15-9 = 6 then stick a 'w' to each term. We cannot combine the w^2 term with the w terms.

the ohio state fair charges $8 for admission and 5$ for parking. after joey pays for admission and parking he plans to spend all of his remaining money playing the ring game that costs $3 per game. write and equation to show how much money joey spends after paying x number of ring games.

Answers

Answer:13+3x=$

$=cost

Step-by-step explanation:

1. Add the starting money price (8$ and 5$)

2.Put x and 3 together.

Example:

13+(3 times 5 )------>13+15=28$

The cost would be 28$

6x−3(6−5x)+3x=10−4(2−x)

Answers

Answer:

x =1

Step-by-step explanation:

[tex]6x-3\left(6-5x\right)+3x=10-4\left(2-x\right)\\\\Group\:like\terms\\6x+3x-3\left(-5x+6\right)=10-4\left(2-x\right)\\\\Add\:similar\:elements:\:6x+3x=9x\\9x-3\left(-5x+6\right)=10-4\left(2-x\right)\\\\Expand\:-3\left(-5x+6\right):\quad 15x-18\\9x+15x-18=10-4\left(2-x\right)\\\\\mathrm{Add\:similar\:elements:}\:9x+15x=24x\\24x-18=10-4\left(2-x\right)\\\\Expand\:10-4(2-x):4x+2\\24x-18=4x+2\\\\Add\:18\:to\:both\:sides\\24x-18+18=4x+2+18\\\\Simplify\\24x=4x+20\\[/tex]

[tex]\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\24x-4x=4x+20-4x\\\\Simplify\\20x=20\\\\\mathrm{Divide\:both\:sides\:by\:}20\\\frac{20x}{20}=\frac{20}{20}\\\\Simplify\\x=1[/tex]

Which expression can be used to check the answer to 56÷(-14)=-4? A) -14×-4 B) -4÷(-14) C) 56×(-14) D) -4÷56

Answers

Answer:

a) -14x-4

try it out, it equals 56, proving the equation is true

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