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Rashid [163]
3 years ago
11

Megan started biking to the internet cafe traveling 9 mph, after some time the bike got a flat so Megan walked the rest of the w

ay, traveling 7 mph. If the total trip to the internet cafe took 9 hours and it was 75 miles away, how long did Megan travel at each speed
Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer: d=54 miles

Step-by-step explanation:

We let the distance megan covered =d

And the distance she walked to the cafe will be :

75 - d

Therefore

d/9 + (75 - d) / 7 =9

L.c.m is 63

7d+9(75-d)=63×9

7d+675-9d=567

-2d=567-675

d=108/2

d=54

d=54 miles

Bess [88]3 years ago
5 0

Answer:

Megan travelled at 9mph for 6 hours and 7mph for 3 hours

Step-by-step explanation:

Speed = distance / time

Speed*time = distance

Assuming that Megan travelled x hours at 9mph

(9*x) + (7*(9-x)) = 75

x = 6 hours

So Megan travelled at 9mph for 6 hours and 7mph for 3 hours

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Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by payi
LenKa [72]

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

3 0
3 years ago
Find the product of (3x²y²) (4xy³)²
Elena-2011 [213]
First, I would solve the second parenthesis.

(4xy^3)^2

Distribute

(4^2 x^2 y^6)

4 x 4 = 16

Now, combine like terms

3x^2 x 4x^2 = 12x^4

y^2 x y^6 = y^12

So, the answer would be 12x^4 y^12

Hmm actually I'm not sure. I did this about two years ago so I don't really remember sorry if this is really wrong 
5 0
3 years ago
Read 2 more answers
Find the measure of the unknown angle.
Tomtit [17]

Answer:

131° Degrees

Step-by-step explanation:

It's the same just put in different places

4 0
2 years ago
Read 2 more answers
4x2 - 12x + 9 can be factored as (2x - 3)(2x - 3)<br><br> True<br><br> False
azamat

Answer:

(2 x - 3)^2 thus it's True

Step-by-step explanation:

Factor the following:

4 x^2 - 12 x + 9

Factor the quadratic 4 x^2 - 12 x + 9. The coefficient of x^2 is 4 and the constant term is 9. The product of 4 and 9 is 36. The factors of 36 which sum to -12 are -6 and -6. So 4 x^2 - 12 x + 9 = 4 x^2 - 6 x - 6 x + 9 = 2 x (2 x - 3) - 3 (2 x - 3):

2 x (2 x - 3) - 3 (2 x - 3)

Factor 2 x - 3 from 2 x (2 x - 3) - 3 (2 x - 3):

(2 x - 3) (2 x - 3)

(2 x - 3) (2 x - 3) = (2 x - 3)^2:

Answer:  (2 x - 3)^2

6 0
3 years ago
Read 2 more answers
James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?​
otez555 [7]

Answer:

6 weeks

Step-by-step explanation:

Total savings= $325

For every week, his total savings decrease by $28.

Let's form an expression for the amount of money left in his account after w weeks.

325 -28w= 157

28w= 325 -157

28w= 168

<em>Divide by 28 on both sides:</em>

w= 168 ÷28

w= 6

Thus, there are 6 weeks until he has $157.

3 0
2 years ago
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