Allison drove from Quincy to Park City in 3 hours along the

Dale drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took hours. When Dale drove hom

IrinaK [193]

Dale drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when dale drove home, there was no traffic and the trip only took 5 hours. if his average rate was 18 miles per hour faster on the trip home, how far away does dale live from the mountains? do not do any rounding.

Answer:

Dale live 315 miles from the mountains

Step-by-step explanation:

Let y be the speed of Dale to the mountains

Time taken by Dale to the mountains=7 hrs

Therefore distance covered by dale to the mountain = speed × time = 7y ......eqn 1

Time taken by Dale back home = 5hours

Since it speed increased by 18 miles per hour back home it speed = y+18

So distance traveled home =speed × time = (y+18)5 ...... eqn 2

Since distance cover is same in both the eqn 1 and eqn 2.

Eqn 1 = eqn 2

7y = (y+18)5

7y = 5y + 90

7y - 5y = 90 (collection like terms)

2y = 90

Y = 45

Substitute for y in eqn 1 to get distance away from mountain

= 7y eqn 1

= 7×45

= 315 miles.

∴ Dale leave 315 miles from the mountains

4 0

3 years ago

Three different ways to put 6(3x + 8) + 32 + 12x

Sever21 [200]

Answer:

Writing 6(3x + 8) + 32 + 12x in 3 different ways:

w₁ = 18x + 48 + 32 + 12x

∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac

w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80

w₂ = 30x + 80 ∵ 18x + 12x = 30x

Step-by-step explanation:

As the expression is 6(3x + 8) + 32 + 12x, and we have to write it in three different ways. Using the properties of operations we can write it in three different ways,

Let way one be denoted as w₁

Let way two be denoted as w₂

Let way three be denoted as w₃

So, lets write 6(3x + 8) + 32 + 12x in 3 different ways:

w₁ = 18x + 48 + 32 + 12x

∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac

w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80

w₂ = 30x + 80 ∵ 18x + 12x = 30x

Keywords: operation properties, distributive law

Learn more about operation properties from brainly.com/question/13754344

#learnwithBrainly

3 0

3 years ago

What is the approximate perimeter of a semicircle with a radius of 9mm?

Cerrena [4.2K]

Act like it's a whole circle and find the perimeter, then divide by 2.

P = 2 * pi * r

P = 2 * 3.14 * 9

P = 56.52

Now divide by 2:

P = 28.26

3 0

3 years ago

Read 2 more answers

The lengths of two sides of a triangle are given.

azamat

Answer:

Range = 5 - 29

Step-by-step explanation:

a + b > c

a+c > b

c+b > a

so

17+ 12 > c ,,,,,,,,,,,,,,,,,,,,,,,,,,,, so it should be lesser than 17+12 which is 29

17 +c > 12 ,,,,,,,,,,,,,,,,,,,,,,,,, and it should be greater than 17- 12 = 5

c+12 > 17 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, same here, it should be greater than 17- 12 = 5

So the range is ,

17 + 12

to

17-12

whcih is - (5 to 29)

I hope I am right!!!

3 0

3 years ago

Gabi tried to solve an equation step by step. 0.1(0.5m+6)=2

agasfer [191]

Answer:

m=28

Step-by-step explanation:

0.1(0.5m+6)=2

Distribute

.05m +.6 =2

Subtract .6 from each side

.05m +.6-.6 = 2-.6

.05m = 1.4

Divide each side by .05

.05m/.05 = 1.4/.05

m = 28

6 0

3 years ago

Read 2 more answers