MATHEMATICS HIGH SCHOOL

Using the formula r=d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 212.5 miles in 2.5 hours?

Answers

Answer 1

Answer:

Answer:

85 miles per hour.

Step-by-step explanation:

We have been given a formula $r=(d)/(t)$ , d is the distance in miles, r is the rate, and t is the time in hours.

To find the rate, we will substitute our given values in above formula as:

$r=\frac{\text{212.5 miles}}{\text{2.5 hours}}$

$r=\frac{\text{85 miles}}{\text{ hour}}$

Therefore, our required rate is 85 miles per hour.

Answer 2

Answer: r=d/t = 212.5/2.5 = 85

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Simplify, 5(2x + 3y) - 4(3x - 5y)

Answers

5(2x + 3y) - 4(3x - 5y)

5(2x) + 5(3y) - 4(3x) + 4(5y)

(10x + 15y) + (-12x + 20y)

(10x - 12x) + (15y + 20y)

-2x + 35y

Answer:

$-2x+35y$

Step-by-step explanation:

$5\left(2x+3y\right)-4\left(3x-5y\right)$

Expand:-

$\hookrightarrow 10x+15y-4\left(3x-5y\right)$

$\hookrightarrow 10x+15y-12x+20y$

Combine $10x$ and $-12x$ = $-2x$

$\hookrightarrow -2x+15y+20y$

Combine $15y$ and $20y$ = $35y$

$\hookrightarrow -2x+35y$

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Answers

Answer:

x=5

Step-by-step explanation:

7x-5=4x+10

3x-5=10

3x=15

x=5

Reminders? What’s the answer:)

Answers

42 is the answer. there are no remainders

How many multiples of 9 are there between 100 and 2,000?

Answers

first of all, find the first number more than 100 that can divided by 9, and it's 108 (we'll call it as 'a') then, find the number less than 2000 that can divided by 9, it's 1.998 (we'll call it as 'Un')

Un = a + (n-1).b
1998 = 108 + (n-1).9
1998 = 108 + 9n -9
1899 = 9n
211 = n

and the total is
Sn = n/2 (a+un)
s211 = 211/2 (108+1998)
= 222.183

suppose a sorority sells 500 raffle tickets to raise money for a local charity. you purchase 17 of the tickets. if the winning ticket is chosen at random, what is the probability that one of your tickets is chosen as the winning ticket?

Answers

if you have 17 of the 500 tickets, the probability one of yours will be picked is $(17)/(500)$

a train can travel 1230 miles in 5 hours. what is the unit rate that this train is traveling per hour? _____ miles per hour.

Answers

unit rate = 1230 miles / 5 hours = 246 miles per hour.

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