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atroni [7]
3 years ago
10

David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. F

ind the total number of marbles they had.
Mathematics
2 answers:
ZanzabumX [31]3 years ago
7 0

Answer:

Step-by-step explanation:

a = d before Anna gives away 50 marbles.

 

5 (a-50) = a +50 after Anna gives away 50 marbles.

 

5a - 250 = a + 50

 

4a = 300

 

a = 75

 

Anna has 75 marbles at the beginning and so did David.

 

Together they have 150 marbles.

:)

ValentinkaMS [17]3 years ago
4 0

Answer:

150

Step-by-step explanation:

Originally, they had the same number, so they both had x marbles each.

David: x

Amrita: x

Amrita gives 50 marbles to David. Now they have:

David: x + 50

Amrita: x - 50

"he had 5 times as many marbles as her"

x + 50 = 5(x - 50)

x + 50 = 5x - 250

-4x = -300

x = 75

Each had 75 marbles to start with.

75 + 75 = 150

The total is 150.

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Pentagon A'B'C'D' is the image of pentagon ABCDE under a dilation,
viva [34]

Answer:

scale factor = \frac{1}{3}

Step-by-step explanation:

Compare the ratio of corresponding sides, image to original.

AB = 6 units and A'B' = 2 units, thus

scale factor = \frac{A'B'}{AB} = \frac{2}{6} = \frac{1}{3}

3 0
3 years ago
What is the quoteint of<br> 3/4 and 5/6
Novosadov [1.4K]

Answer:

9/10

Step-by-step explanation:

Very simple, Keep It, Change It, Flip it

Do 3/4 X 6/5 and you should get your answer

5 0
2 years ago
2
rusak2 [61]

Answer:

(1.13, 7.74) and (-4.13, 18.26)

Step-by-step explanation:

This can be solved in two ways:  mathematically and graphically.

<u>Graphing</u>

Plot both lines and find where they intersect.  See the attachment.

The intersection points are (1.13, 7.74) and (-4.13, 18.26)

<u>Mathematical</u>

y + 2x = 10

y = 10 - 2x

y = 3x² + 7x - 4

10 - 2x = 3x² + 7x - 4

3x² + 9x - 14 = 0

Solve this using the quadratic equation:

x = 1.13 and -4.13

Use these two values of x to find y:

y = 10 - 2x

y = 10 - 2(1.13)

y = 7.74

y = 10 -2x

y = 10 -2(-4.13)

y =  18.26

The two points are:

(1.13, 7.74) and (-4.13, 18.26)

7 0
2 years ago
What is the perimeter of a triangle with side lengths of 9, 12, and 4x?
ludmilkaskok [199]
The answer is 21 + 4x.


You find this answer by adding up all the sides.
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3 0
3 years ago
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Its D............................
8 0
3 years ago
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