1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ilya [14]
3 years ago
11

Raina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Raina drove

home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Raina live from the mountains
Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Answer: Raina's distance from the mountains is 176 miles

Step-by-step explanation:

Let x represent her average rate on the trip to the mountains.

If her average rate was 22 miles per hour faster on the trip home, it means that her average rate on the trip home is (x + 22) mph

Distance = speed × time

There was heavy traffic on the way there, and the trip took 6 hours. This means that the distance on her way to the mountain is 6x

When Raina drove home, there was no traffic and the trip only took 4 hours. This means that the distance on her way to home is

4(x + 22)

Since the distance covered is the same, then

6x = 4(x + 22) = 4x + 88

6x - 4x = 88

2x = 88

x = 88/2

x = 44

Raina's distance from the mountains is

6 × 44 = 176 miles

You might be interested in
Rotate shape A 90° clockwise with centre of rotation (0,0).
Andreyy89

Answer:

(2,4)====(-4,2)

(4,3)===(-3,4)

(2,3)====(-3,2)

5 0
3 years ago
For a triangle list the respective names of the points of concurrency of medians
devlian [24]

Centroid, orthocenter, circumcenter, and incenter are the four locations that commonly concur.

<h3>Explain about the concurrency of medians?</h3>

A segment whose ends are the triangle's vertex and the middle of the other side is called a median of a triangle. A triangle's three medians are parallel to one another. The centroid, also known as the point of concurrency, is always located inside the triangle.

The incenter of a triangle is the location where the three angle bisectors meet. The only point that can be inscribed into the triangle is the center of the circle, which is thus equally distant from each of the triangle's three sides.

Draw the medians BE, CF, and their intersection at point G in the triangle ABC. Create a line from points A through G that crosses BC at point D. We must demonstrate that AD is a median and that medians are contemporaneous at G since AD bisects BC (the centroid)

To learn more about concurrency of medians refer to:

brainly.com/question/14364873

#SPJ4

4 0
1 year ago
Courtney is twice as old as Andre and three yoars older than Natalio Courtnoy is half Shar's ago Tho differenco between Shani's
Ghella [55]

Answer:

Andre's

Step-by-step explanation

I think its Andre. I apologize if it is not.

3 0
4 years ago
Please help! :))
denis23 [38]

Answer:

Check below

Step-by-step explanation:

Hi,

We're dealing with linear functions. f(x)=mx+b

We have here the first function.

g(x)=3x

That's a linear function, with slope, and no linear coefficient since

But on the other hand, the functions below, they all describe parallel lines, since their slope has the same value. I've changed the letters to make it easier the comprehension.

Even though each one has the same slope value, they have different non zero linear coefficients, {-6,-18,6,18}. Unlike, the first one

h(x)=3(9x-2) \rightarrow h(x)= 27x-6\\i(x)=9(3x-2)\rightarrow i(x)=27x-18\\j(x)=3(9x+2)\rightarrow j(x)=27x+6 \\k(x)=9(3x+2)\rightarrow k(x)=27x+18\\

A possible solution would be adjusting any of these, whose operation would result in g(x)=3x, but

Like

y=9(\frac{3x}{9}-2)+18 =3x

4 0
3 years ago
Justin is paid $7.00 an hour and also earns a 20% commission on any sales he makes. In one week, if he worked 40 hours and had $
nignag [31]

Answer:

380

Step-by-step explanation:

7 x 40 = 280 + C = 380

C = Commision

500 x .2 = 100

C = 100

6 0
4 years ago
Other questions:
  • Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
    10·1 answer
  • PLEASE HELP ME<br> ANSWER FAST PLEASE
    15·1 answer
  • Can someone help me with this
    5·2 answers
  • If the area of the triangle (the shaded portion below) within the pentadecagon is 10 units, what is the area
    14·1 answer
  • Carrie found a stone in the shape of a 30°–60°–90° triangle. The hypotenuse has a length of 5 cm. What is the length of the shor
    14·1 answer
  • Simplify. 8-4 8-10 A) 8^-14 B) 8^-6 C) 8^6 D) 8^14
    10·2 answers
  • I need help with this
    13·1 answer
  • Please help... As soon as possible...
    8·1 answer
  • What is 6% of $95 ?<br> Please help fast!!
    11·2 answers
  • Henry needs to memorize words on a vocabulary list for French class. He has
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!