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ch4aika [34]
3 years ago
8

A store is having a sale on almonds and jelly beans. For 3 pounds of almonds and 5 pounds of jelly beans, the total cost is $19

. For 9 pounds of almonds and 7 pounds of jelly beans, the total cost is $35 . Find the cost for each pound of almonds and each pound of jelly beans.
Cost for each pound of almonds: $
Cost for each pound of jelly beans:$
Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0

Answer:

Almond: $7/4 per pound

Jelly Bean: $ 11/4 per pound

Step-by-step explanation:

A: almond

J: jelly bean

3A + 5J = 19 .... multiply 9 each side

27A + 45J = 171 .....(1)

9A + 7J = 35 .....multiply 3 each side

27A + 21J = 105 ....(2)

(1) - (2)    24J = 66

J = 66/24 = 11/4

3A + 5 x 11/4 = 19

3A = 21 / 4

A = 7/4

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Step-by-step explanation: Solve the inequality 12(1/2x-1/3)>8-2x

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Nitella [24]

Answer:

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Solve for : x 4(x+5)=3(x-2)-2(x+2)
Allushta [10]

Hey there!!

In order to solve this equation, we will have to use the distributive property.

What is distributive property?

We will need to distribute one term to the other terms preset.

Example : 4 ( 3x - 1 )

sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1

( 4 × 3x ) + ( 4 × -1 )

12x + ( -4 )

= 12x - 4

This is after implementing the distributive property.

Now moving back onto the question

4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )

Let us first solve 4 ( x + 5 )

Distribute 4 to x and 5

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Distribute 3 to x and -2

( 3 × x ) + ( 3 × - 2 )

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Solve for -2 ( x + 2 )

Distribute -2 to x and 2

( -2 × x ) + ( -2 × 2 )

-2x - 4

Now, let's get everything back together

4x + 20 = 3x - 6 - 2x - 4

Combine all the like terms

4x + 20 = x - 10

Adding 10 on both sides

4x + 20 + 10 = x - 10 + 10

4x + 30 = x

Subtracting 4x on both sides

4x - 4x + 30 = x - 4x

30 = -3x

Dividing by -3 on both sides

30 / -3 = -3x / -3

- 10 = x

<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>

5 0
3 years ago
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