100 points, Please help!

d = r · t  and we know that the distance is the same.

Let x = time it takes Evelyn (in hours, since the rate is mph).

Evelyn's distance is 84x.

Rick's distance is 36·(x+2/3)  since 40 minutes longer is 2/3 of an hour longer

    84x = 36(x+2/3)

    84x = 36x + 24

    48x = 24

    x = 1/2

So it takes Evelyn 1/2 an hour, meaning the distance is 84(1/2) = 42 miles

To confirm this, it would take Rick 42/36 hours or 1 and 1/6 hours.  That's 70 minutes, which is 40 minutes longer than Evelyn's 1/2 hour trip.

The distance is 42 miles.

Answer:

7/8

Step-by-step explanation:

i know

Answer:

7/8 XD

Step-by-step explanation:

Answer:

two lawns.....

...........

Genesis can mow 2 lawns per hour.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Genesis mows in 1/6 hour =1/3 lawns

To find, mow per hour,

∴ in 1/6 hours =1/3 lawn,

⇒1 hour = 6×1/3 lawn

⇒1 hour = 2 lawns.

So, In 1 hour, Genesis can mow 2 lawns.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Answer:

5/1

Step-by-step explanation:

3.75 + 2.25 = 5

5 = 5/1

Answer:

183.50 feet

Step-by-step explanation:

43*4=172

5.75*2=11.50

172+11.50=183.50

183.50 feet

Answer:

saya tidak ingin mengatakannya tapi kalian akan menjadi gila ya

Answer:

i can see a really tiny 0.5 next to both of them

2.5+2.5=5

tadaaaaa

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

First you need to reduce the fractions then you choose a common denominator to calculate:6/12=1/2 then you see the you see 1/4 can be a common denominator so you equal 1/2 to the denominator by 4, which means multiplying 2 by both the numerator and denominator, we get 2/4 after that you add and subtract in parentheses and you will get 1/4 then you multiply by 5 to get 5/4 the finally you have to plus 0,5 you will get 7/4 done.

Answer:

all but 1/6

Step-by-step explanation:

Answer:

2/6 3/9 4/12 are the answers

Answer:

I can't see the file

Step-by-step explanation:

Answer:

Step-by-step explanation:Class 1 :

mean= 78.83(rounded)  median=88 range= 55

Class 2:

mean= 79.42 (rounded) median=85.5 range= 60

Class 3:

mean= 79.42 (rounded) median=78 range =45

Answer:

Aling Mely  buy 31/8 kg or 3.875 kg or 3 7/8 kg of nuts.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1 \dfrac{3}{4}+ \dfrac{5}{8}+ 1\dfrac{1}{2} = \dfrac{7}{4}+ \dfrac{5}{8} + \dfrac{3}{2}\\\\\\LCM = 8\\\\= \dfrac{7*2}{4*2}+ \dfrac{5}{8}+ \dfrac{3*4}{2*4}\\\\\\= \dfrac{14}{8}+ \dfrac{5}{8}+ \dfrac{12}{8}\\\\\\= \dfrac{14+5+12}{8}= \dfrac{31}{8}\\\\\\= 3 \dfrac{7}{8} \ Kg[/tex]

Answer:

x=4

Step-by-step explanation:

Four less than the product of a number and 8:

8x−4

is twice the sum of the number and 10, so

8x−4=2(x+10)

Simplify.

8x−4=2x+20

Add 4 to both sides, which is

8x=2x+24

Subtract 2x from both sides:

6x=24

Divide 6 from both sides to isolate the x

x=4

-how I got 20

8x-4=2(x+10) x=8 so 8+10=18 18+2=20

also sorry for posting the answer in the comments and then making an answer after you saw i just wanted da points and hope it helped you :)

Answer:

A = $171,475, B = $119,860

Step-by-step explanation:

A represents the salary of the governor of state A.

B represents the salary of the governor of state B.

A is $51615 larger than B, so you get the equation:

A = B + 51615

The total of the two salaries is $291335, so you can the second equation:

A + B = 291335

Using the first equation, substitute the quantity (B + 51615) for A in the second equation.

(B + 51615) + B = 291335

2B + 51615 = 291335

2B = 239720

B = 119860

Plug this value of B back into either of the equations.

A = B + 51615 = 119860 + 51615 = 171475

Answer:

(20 points!!!)

Alanna is going shopping for Goggles and food.

The cost of Goggles is $15 and the cost of each food item is $5.

If Alanna can spend at most $55, how many food items can be purchased?

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Explain what the solution means in the context of the word problem.

Answer: 79

Step-by-step explanation:

Step-by-step explanation:

y-3=1/3x -4

add add four

y+1=1/3x

divide 1/3 into 1

y+3=x

Answer:

x - 3y = 3

This is the answer in standard form.

Answers:

3x + 40 =64

4x - 6 =26

Step-by-step explanation:

So we are dealing with 2 complementary angles with both add up to 90 degrees. We can write an equation that shows this:

(3x+40) + (4x-6) = 90

Combine like terms

7x + 34 =90

Isolate x

7x = 56

x = 8

Now that we found x, all we have to do is substitute it in the equations:

3x + 40 = ?

3(8) +40 = ?

24+40 = ?

64 = ?

4x - 6 = ?

4(8) - 6 = ?

32 - 6 = ?

26 = ?

Answer:

3x+40= 66

4x-6= 26

Step-by-step explanation:

3x+40+4x-6=90˚ (because the square on the angle represents a 90˚)

Add 4x and 3x

Which is 7x

40 minus 6 is 34

The equation now looks like this:

7x+34=90˚

Subtract 34 on both sides:

7x=56

Divide 7 on both sides:

x=8

For 3x+40

Substitute x with 8

the equation now looks like this:

24+40 Which is 66

For 4x-6

4 times 8 is 32

32 minus 6 which is 26

Hope this helps!

Answer:

x>22

Step-by-step explanation:

3(x+4)>18

3x+12> 54

3x>66

x>22

Answer:

3

Step-by-step explanation:

each friend would have 3 pizzas

Answer: Unknown

Step-by-step explanation:

-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez

The probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9. Option A is correct.

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Pr(the letter on it will fall between "F" and "Q" in the alphabet) = 5/9

Hence the probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9

Learn more here: https://brainly.com/question/13604758

Answer:

10[tex]x^{2}[/tex]+x-21

Step-by-step explanation:

you just do (5x-7)(2x+3) and foil it out

Answer:

Earning 10,000 per month.

Step-by-step explanation:

Since a "180" usually refers to an opposite, the opposite of "losing 10,000 per month" would happen.

So, the company would be earning money instead of losing money.

3x^2 - 3x -90

=3 (x^2 - x -30)

=3 (x^2 −6x+5x−30)

=3(x(x−6)+5(x−6))

=3(x−6)(x+5)

Answer:

75

Step-by-step explanation:

If we go from the bottom to the line that averages the sold cones by temperature (I forget its exact name), and then go to the left from that exact spot, it appears to be 75 cones.

Answer:

172.8

Step-by-step explanation:

72% of 240 is 172.8

You can estimate it by rounding 172.8 to $173

Jules's take $173 for home pay.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total earning of Jules's = $240

He take home pay is about 72%.

Now,

Amount for take home pay = 72% of $240

It can be solve as;

72% of $240

72% × 240

72/100 × 240

72/10 × 24

172.8

After estimating we get;

Amount for take home pay = $173

Thus, Jules's take $173 for home pay.

Learn more about the percentage visit:

https://brainly.com/question/548162

#SPJ5