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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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amm1812

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3 years ago

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Pachacha [2.7K]

Answer:

$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough

Step-by-step explanation:

We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.

Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.

First equation for Mike: 12a + 3b = 225

Second equation for Shawna: 6a + 11b = 293

Next we isolate b from Mike's equation: b = 75 - 4a

Then we plug this equation into Shawna's equation and we get:

6a + 11(75 - 4a) = 293

Solving for a would get us 14, or $14 for one chocolate chip cookie dough.

If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.

Hope this helped!

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3 years ago

A metal bar weighs 9.25 ounces. 65% of the bar is gold. how many ounces of gold is in the bar?

Elza [17]

Not sure I'm right but:

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3 years ago

A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. it costs $4.20 per square

ozzi

To solve this problem you must apply the proccedure shown below:

1. You have that:

-The length is $x$ feet.

- The width is $y$ feet.

- The height is $z$ feet.

2. The box has one base. The cost of the base is:

$c1=4.20xy$

3. It has four sides. The cost of the sides are:

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3 years ago

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viva [34]

4p(x-4)-5
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