3 years ago

0 ) Dan bought 7 new baseball trading cards to add to his collection. The next

Mathematics

1 answer:

harina [27]3 years ago

4 0

Dan started with 69 cards

Step-by-step explanation:

Let x be the initial number of cards

Then

According to "Dan bought 7 new baseball trading cards to add to his collection"

$x+7$

The next day his dog ate half of his collection.

$\frac{1}{2}(x+7)$

There are now only 38 cards left.

$\frac{1}{2} (x+7) = 38$

Multiplying both sides by 2

$x+ 7 = 38*2\\x+7 = 76$

Subtracting 7 from both sides

$x+7-7 = 76-7\\x = 69$

Hence,

Dan started with 69 cards

Keywords: Linear equation, word problems

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Marysya12 [62]

Answer: x = 7

Step-by-step explanation:

4(2x-3) = 6x+2 <--distribute the 4

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3 years ago

The bases of the trapezoid are 6 and 10. The height is 4. Find the area.

ollegr [7]

Answer

b. 32 sq. unit

Step-by-step Explanation

The area of the trapezoid is given by

$A = \frac{1}{2} (b_{1} + b_{2}) \times h$

We substitute the given values into the formula to obtain;

$A = \frac{1}{2}(10 + 6) \times 4$

Simplify

$A = \frac{1}{2} (16) \times 4$

$A = 16 \times 2$
Hence the area is

$A = 36 \: sq \: units$