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marissa [1.9K]
4 years ago
6

Two cars leave at the same time from points A and B, the distance between them is 280 km. If the cars meet each other, they’ll m

eet in 2 hours. But if they go in the same direction, then the car going from point A will catch up with the car going from point B in 14 hours. What is the speed of both of the cars?
Mathematics
1 answer:
kykrilka [37]4 years ago
7 0
Set up the following equations:

2x + 2y = 280

14x - 14y = 280

x represents car A's speed, and y represents car B's speed.

We'll use elimination to solve this system of equations. Multiply the first equation by 7:

(2x + 2y = 280) * 7 = 14x + 14y = 1960

14x - 14y = 280

Combine both equations:

28x = 2240

Divide both sides by 28 to get x by itself:

x = 80

The speed of car A is 80 mph.

Since we now know the value of one of the variables, we can plug it into the first equation:

2(80) + 2y = 280

160 + 2y = 280

Subtract 160 from both sides.

2y = 120

Divide both sides by 2 to get y by itself:

y = 60

The speed of car B is 60 mph.

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inysia [295]
I’m pretty sure the correct answer is B
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3 years ago
Cedric opened a new gallon jug of milk and poured ¾ cup of milk for his mom, ½ cup milk for his little sister and 2 cups of milk
julia-pushkina [17]

Answer:

12 _3/4

Step-by-step explanation:

3/4 + 1/2 + 2 = 3_1/4

16 cups in a gallon

16-3_1/4

=12_3/4

7 0
3 years ago
Find BC if AC = 13 and AB = 10
maxonik [38]

Answer:

BC=3

Step-by-step explanation:

<em>We </em><em>can </em><em>solve </em><em>this </em><em>by </em><em>eliminating</em><em> </em><em>given </em><em>detail </em><em>of </em><em>A.</em>

AC=13 , AB=10

<u>To </u><u>find </u><u>BC,</u><u> </u><u>We </u><u>minus </u><u>A</u><u>C</u><u> </u><u>With </u><u>AB</u>

BC= AC-AB

<u>BC=3</u>

3 Is the final answer

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

7 0
3 years ago
Andy is collecting pocket change for a fundraiser. he begins with 102 coins in the cup, and their monetary value is $17.10. if h
Ira Lisetskai [31]

If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.

Given number of coins Andy has is 102 and montary value of all coins is $17.10.

We have to determine number of dimes and quarters.

1 dime=$0.10

1 quarter=$0.25

Suppose the number of dimes be x and number of quarters be y.

The equations are:

0.10x+0.25y=17.10------------1

x+y=102-------------2

from equation 2, y=102-x

Put the value of y=102-x in equation 1

0.10x+0.25(102-x)=17.10

0.10x+25.5-0.25x=17.10

-0.15x=17.10-25.5

-0.15x=-8.4

x=8.4/0.15

x=56

Put the value of x in y=102-x

y=102-56

y=46

Hence Andy has 56 number of dimes and 46 quarters.

Learn more about equation at brainly.com/question/2972832

#SPJ4

5 0
2 years ago
A single tree produces about 2.6 × 102 lb of oxygen each year. The Amazon rainforest has about 3.9 × 1011 trees.
ankoles [38]

(2.6 x 10² lb/tree) x (3.9 x 10¹¹ tree) = 1.014 x 10¹⁴ pounds .

8 0
3 years ago
Read 2 more answers
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