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alexandr1967 [171]
3 years ago
11

Tom has 2 1/2 times as many cards as Harry. Together they have 98 cards. How many cards do they each have?

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0

Answer:

Tom has 70 cards, and Harry has 28 cards.

Step-by-step explanation:

Let h = number of cards Harry has.

Then the number of cards Tom has is 2 1/2 * h = 2.5h.

Together they have 2.5h + h = 3.5h number of cards.

Together they have 98 cards.

3.5h = 98

h = 98/3.5

h = 28

Harry has 28 cards.

Tom has 2.5h = 2.5 * 28 = 70

Answer: Tom has 70 cards, and Harry has 28 cards.

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cSuppose you are standing such that a 45-foot tree is directly between you and the sun. If you are standing 200 feet away from t
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Answer:

you could stand at 5.0 ft and still be completely in the shadow of the tree

Step-by-step explanation:

From the diagram attached below;

We consider;

\overline {BC} to be the height of the tree and \overline {DE} to be the height of how tall you could be and still be completely in the shadow of the tree.

∠D = ∠B = 90°

Also;

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Therefore, their sides will also be proportional

i.e

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By cross multiply

225x = 45 × 25

x = \dfrac{45 \times 25}{225}

x = \dfrac{1125}{225}

x = 5.0 ft

Therefore, you could stand at 5.0 ft and still be completely in the shadow of the tree

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3 years ago
Please help ASAP<br> and show the steps<br> solve this system of equations:<br> y=2x+5<br> 4x-2y=-10
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Y=2x+5
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