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vladimir2022 [97]
3 years ago
5

Starting at home, Ishaan traveled uphill to the gift store for 18 minutes at just 10 mph. He then traveled back home along the s

ame path downhill at a speed of 30 mph.
What is his average speed for the entire trip from home to the gift store and back?
Mathematics
1 answer:
Tanzania [10]3 years ago
8 0
D=TxR
D=18 minutes x 10 miles/hr
D= 180 minutes miles / hr      1 hr/60 minutes
D= 3 miles

T= D/R    T= 3 miles/ 30 miles/ hr  T= 1/10/hr  6 minutes

It took Ishaan 24 minutes to go 6 miles so his average speed is D/T=R
6miles/24minutes=miles/hr  1 miles/4 minutes x 60 minutes/hr =  15 miles/hr
Ishaan's average speed was 15 mph.

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I don't understand how to the problem
Amanda [17]

We have:

(30x²+23x+16)/(cx+3) - 13/(cx+3) = 6x+1

(30x²+23x+16 - 13)/(cx+3) = 6x+1

(30x²+23x+3)/(cx+3) = 6x+1

30x²+23x+3 = (cx+3)(6x+1)

30x²+23x+3 = 6cx²+cx+18x+3

30x² + 23x + 3 - 6cx² - cx - 18x - 3 = 0

(30 - 6c)x² +(5 - c)x = 0

6(5 - c)x² +(5 - c)x  = 0

(5 - c)(6x² +x) = 0, and x∈ R\ {3/c} ⇒ 5 - c = 0 ⇒ c = 5.

 

6 0
3 years ago
The classes at the middle school want to raise money. The sixth grade runs a bake sale for 55 hours and makes $170$170. The seve
kvv77 [185]

The sixth grade makes 3.09 per hour

The seventh graders make 2.54 per hour

the eighth graders make 2.90 per hour

So the sixth graders make the most per hour. you can check this answer by taking the amount of money made and divide it by the time that it takes to raise the total amount of money raised by each class of students.

5 0
4 years ago
Solve for y- 6y-1.5x=8
VARVARA [1.3K]

6y-1.5x=8\qquad\text{add 1.5x to both sides}\\\\6y=1.5x+8\qquad\text{divide both sides by 6}\\\\y=\dfrac{1.5}{6}x+\dfrac{8}{6}\\\\y=\dfrac{15}{60}x+\dfrac{4}{3}\\\\\boxed{y=\dfrac{1}{4}x+\dfrac{4}{3}}

8 0
3 years ago
Please help, my brain just sucks rn. The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in.
snow_tiger [21]

46.4 inch

Step-by-step explanation:

Area=l×b

93.6 =5.2×b

93.6/5.2 =b

So b= 18

Again,

p=2(l+b)

p=2(18+5.2)

p= 2×23.2

p=46.4

3 0
3 years ago
A $22,000 loan was taken out. If $24,805 is due at the end of the loan after being compounded daily at 2.5%, how many
Alex777 [14]

9514 1404 393

Answer:

  4.8 years

Step-by-step explanation:

Solving the compound interest formula for the number of years gives ...

  t = log(A/P)/(n·log(1 +r/n))

where principal P invested at rate r compounded n times per year produces value A after t years.

  t = log(24805/22000)/(365·log(1 +0.025/365)) ≈ 4.800

The loan was for 4.8 years.

3 0
3 years ago
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