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Lyrx [107]
3 years ago
14

Please help ty! I added extra points.

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0
<h3>Charlene left city A at 10: 10 AM</h3>

<em><u>Solution:</u></em>

Given that,

At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h

Charlene drove at an average speed of 144 km/h and took 50 minutes.

She arrived at City B at the same time as Hillary

Their distance is same

Find the ratio of speed

120 : 144

Reduce to lowest term

Hillary : charlne = 5 : 6

Find the ratio of time:

Since, speed and time are inversely propotional

Hillary : charlne = 6 : 5

Let time taken by Hiliary be 6t

Let time taken by charlene be 5t

Given that, Charlene took 50 minutes

Therefore,

5t = 50

t = 10

Thus,

time taken by Hiliary = 6t = 6(10) = 60

Thus hiliary took 60 minutes to reach

<em><u>Find the time Charlene left City A</u></em>

At 10 a.m., Hillary left City A

Difference between both their time = 60 - 50 = 10 minutes

Thus, Hilairy left city A = 10 am + 10 minutes = 10 : 10 a.m

Thus, Hillary left city A at 10: 10 AM

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Ulleksa [173]
A.0.8 < 5/6 < 12/13

because 5/6 = .83 and 12/13 = .92
3 0
3 years ago
Help me with the questions above please
Vesnalui [34]

Answer:

<h3>x=-7</h3>
  1. -8
  2. -35
  3. 2

4. 2

<h3>x=21</h3>
  1. 76
  2. -35
  3. 14

4. 14

<h3>x=0</h3>
  1. 13
  2. 7
  3. 5
  4. 5
8 0
3 years ago
Ellie and Morgan go to the movie theater and purchase refreshments for their friends. Ellie spends a total of $36.50 on 7 bags o
Firlakuza [10]
Ellie:
Total spending = $36.50
Number of popcorn bags bought = 7
Number of drinks bought = 2

Morgan:
Total spending = $155.50
Number of popcorn bags bought = 9
Number of drinks bought = 14

Part 1:
If
P = Price of one popcorn bag
D = Price of one drink
Then,
For Ellie: 7P + 2D = 36.50
For Morgan: 9P + 14 D = 155.50

Set of equations:
7P + 2D = 36.5 --------(1)
9P + 14D = 155.5 ---- (2)

Part 2:
Solving equations (1) and (2)
Multiply (1) by 7 and subtract (2) from resulting equation;
49P + 14D = 255.5
9P + 14D = 155.5
-------------------------
40P = 100
P = 100/40 = 2.5

From eqn (1),
7*2.5 + 2D = 36.5
17.5 +2D = 36.5
2D = 19
D = 19/2 = 9.5

Therefore,
Bag of popcorn costs $2.50 
6 0
3 years ago
4/9 (3/8 x- 27/16) = 13/4
vampirchik [111]

Answer:

Step-by-step explanation:

4/9(3/8x-27/16)=13/4

\frac{4}{9}*\frac{3}{8}x-\frac{4}{9}*\frac{27}{16}=\frac{13}{4}\\\frac{x}{6}-\frac{3}{4}=\frac{13}{4}\\\frac{x}{6}=\frac{13}{4}+\frac{3}{4}=4\\x=4*6=24

3 0
3 years ago
Read 2 more answers
Is it 72 or 720??? Idk and I hope you’re correct because I wanna get 100%
Leokris [45]

Answer:

72 in^2

Step-by-step explanation:

The area of a parallelogram is calculated by multiplying height to the base

The height given for this parallelogram is 9 in and base is 8 in

9×8 = 72

4 0
4 years ago
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