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Burka [1]
3 years ago
13

When traveling to work, Cherise averages 60 miles per hour.Because of heavy traffic in the evening, she averages only 40 miles p

er hour. If the distance from home to work is 80 miles, how much longer does it take Cherise to make the drive home?
Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
<h3>Answer:  40 minutes</h3>

============================================================

Explanation:

The distance traveled is d = 80 miles.

When going to work, her speed is r = 60 mph. She takes t = d/r = 80/60 = 4/3 hours which converts to 80 minutes. Multiply by 60 to go from hours to minutes.

Notice how the '80' shows up twice (in "80 miles" and "80 minutes"). This is because traveling 60 mph is the same as traveling 1 mile per minute.

-----------------

Now as she's coming home, her speed becomes r = 40 and she takes t = d/r = 80/40 = 2 hours = 120 minutes.

The difference in time values is 120 - 80 = 40 minutes.

Her commute back home takes 40 more minutes compared to the morning drive to work.

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In spherical geometry lines are called _____
tester [92]

Answer:

the answer is: a great circle

5 0
3 years ago
A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?
MAXImum [283]

Answer: A, because the equation of a circle is (x-h)^2+(y-k)^2=r^2. So, if the point of the center is (5,7) and the radius 2 , then on the equation should be changed as negative and the radius should be multiplied as 4, which is (x-5)^2+(y-7)^2=4

6 0
2 years ago
-6x + 5y = 1<br> 6x + 4y = –10
Firlakuza [10]

Answer:

x=-1

y=-1

Step-by-step explanation:

-6x + 5y =1 ......equation (1)

6x + 4y = –10 ......equation (2)

adding equation (1) to equation (2)

9y=-9

9y/9 =-9/9 (dividing both side by the coefficient of y)

y=-1

subtituting the value of y =-1 into equation (2)

6x+4(-1)=-10

6x+(-4)=-10

6x-4=-10

6x=-10+4(making constant to be at one side and the variable at the other side)

6x=-6

x=-6/6

x=-1

8 0
3 years ago
Ibuki factored 12x^7as (4x^3)(3x^4)
Marina86 [1]

Answer:

Both are correct.

Step-by-step explanation:

The key understanding here is that you can factor a monomial in many different ways!

To check if any of the factorizations is correct, we can multiply the factors and see if their product is really 12x^712x

7

12, x, start superscript, 7, end superscript.

Hint #22 / 4

\begin{aligned} (\blueD{4}\maroonD{x^3})(\blueD{3}\maroonD{x^4})&=(\blueD{4})(\blueD{3})(\maroonD{x^3})(\maroonD{x^4}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}

(4x

3

)(3x

4

)

​

 

=(4)(3)(x

3

)(x

4

)

=12x

7

​

So Ibuki is correct!

Hint #33 / 4

\begin{aligned} (\blueD{2}\maroonD{x^6})(\blueD{6}\maroonD{x})&=(\blueD{2})(\blueD{6})(\maroonD{x^6})(\maroonD{x}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}

(2x

6

)(6x)

​

 

=(2)(6)(x

6

)(x)

=12x

7

​

So Melodie is also correct!

Both Ibuki and Melodie are correct.

8 0
3 years ago
benny uses 2/5 grams (G) of toothpaste each time he brushes his teeth. If benny buys 30-g tube, how many times will be able to b
worty [1.4K]

Answer:

75

Step-by-step explanation:

First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.

5 0
2 years ago
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