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
Naya [18.7K]
3 years ago
8

Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

You might be interested in
Three things you use negative numbers for in real life
Inessa [10]
Money,temperature, sea level,
7 0
3 years ago
Read 2 more answers
Which number line correctly shows -3-1.5?​
Papessa [141]
Pretty sure it’s the 3rd
7 0
3 years ago
Read 2 more answers
As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor shou
GenaCL600 [577]

Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

$ 2x - 3y = 12 \hspace{5mm} \hdots (1) $

$ 5x + 6y = 18 \hspace{5mm} \hdots (2) $

It is given that she multiplies the first equation by 6. Therefore, (1) becomes

$ 12x - 18y = 72 \hspace{15mm} \hdots (a) $

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.

Therefore, Equation (2) becomes:

$ 15x + 18y = 54 \hspace{5mm} \hdots (b) $

Now, we add Equation (a) and Equation (b).

$ \implies 12x - 18y + 15x + 18y = 72 + 54 $

$ \implies 27x = 126 $

Factor: 3

Equation: 27x = 126

7 0
3 years ago
At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many
Juliette [100K]

Answer:

100 boys at the concert

Step-by-step explanation:

When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7

So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:

  2   :   7

×50   ×50

To get:

100:350  ⇒  This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.

So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.

<u>Answer:</u> 100 boys at the concert

<em>I hope you understand and that this helps with your question! </em>:)

7 0
3 years ago
Pls help! Show all work. Will reward the brainiest for da best answer.
BaLLatris [955]

Answer:

1. 56.52 inches

2. 141,300 inches

Step-by-step explanation:

One turn of the tire is the circumference. Therefore, we have to find the circumference first. C = πd = 18π = 18 × 3.14 = 56.52 in

2500 rotations would be 2500 ⋅ 56.52 in = 141,300 in

I hope this helps and please mark me as brainliest!

4 0
2 years ago
Other questions:
  • Solve the equation using any technique 6x^2-5x-1=0
    6·2 answers
  • Use Stokes' Theorem to calculate . F = 5yi + 7xj + z3k; C: the counterclockwise path around the perimeter of the triangle in the
    8·1 answer
  • What is the absolute value of the complex number -4-√2
    15·1 answer
  • Assume that adults have iq scores that are normally distributed with a mean of 100100 and a standard deviation of 15. find the t
    11·1 answer
  • Let the polynomials A = 7x² + 3xy and B = -3xy .
    12·1 answer
  • a doggie daycare charges $21.50 per day if you leave your dog 5 days a week the discount is 20% what is the cost of leaving your
    8·1 answer
  • Solve for w and simplify this fraction 3/2w=-20​
    6·1 answer
  • Evaluate the expression 2bc^2 for b = 1.5 and c = 5.
    14·1 answer
  • Find the area of the figure shown. Please someone helppppp
    8·1 answer
  • Is it more difficult to walk up the hill or ramp?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!