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lara [203]
3 years ago
15

Can you help me with this!!!!!!!!!

Mathematics
1 answer:
alexira [117]3 years ago
4 0

a. The first variable is x and the second variable is y.

b. The equations are x+y=12 and x-y=8.

Step-by-step explanation:

Step 1:

The first step is to define the variables. The variables can be any two symbols, letters, characters, etc.

Here let the first variable be x and the let the second variable be y.

So the variables are defined as x and y.

Step 2:

The sum of the given variables is 12.

The first variable + the second variable = 12,

x+y=12.

The difference between the two variables is 4.

The first variable - the second variable = 4.

x-y=4.

Step 3:

If we add both the equations we get, 2x =16, x= 8 and y=4.

x = 8 and y = 4.

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Answer:

(5x-1)(3x+2)

(if you don't want to do all of this you can use

Step-by-step explanation:

((3•5x2) +  7x) -  2

Factoring  15x2+7x-2

The first term is,  15x2  its coefficient is  15 .

The middle term is,  +7x  its coefficient is  7 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   15 • -2 = -30

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   7 .

     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1

     -3    +    10    =    7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  10

                    15x2 - 3x + 10x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (5x-1)

             Add up the last 2 terms, pulling out common factors :

                   2 • (5x-1)

Step-5 : Add up the four terms of step 4 :

                   (3x+2)  •  (5x-1)

            Which is the desired factorization

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3 years ago
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3 years ago
What is the equation to this problem?​
allsm [11]

Answer:

x = 13 1/2 or 27/2

Step-by-step explanation:

1st Add 2 to both sides: 2/3x-2+2=7+2

2nd Simplify: 2/3x = 9

3rd Multiply both sides by 3: 3*2/3x=9*3

4th Simplify: 2x=27

5th Divide both sides by 2: 2x÷2=27÷2

6th Simplify: x = 13 1/2 or 27/2

4 0
3 years ago
Someone bought a watermelon pack of napkins and a paper plate the food do not have tags but the non-food items have 5% tax the t
Svetach [21]

<em><u>Question:</u></em>

A shopper bought a watermelon, a pack of napkins, and some paper plates. In his state, there is no tax on food. The tax rate on non-food items is 5%. The total for the three items he bought was $8.25 before tax, and he paid $0.19 in tax. How much did the watermelon cost?

<em><u>Answer:</u></em>

Cost of watermelon is $ 4.45

<em><u>Solution:</u></em>

From given,

Total amount for three items before tax = $ 8.25

Tax amount = $ 0.19

Tax on non food = 5 %

Here, non food means napkin and paper plates

Let "x" be the cost spent for napkin and paper plates

Then,

5 % = 0.19

100 % = x

This forms a proportion

5 \times x = 0.19 \times 100\\\\5x = 19\\\\x = 3.8

Thus cost spent for napkin and paper plates is $ 3.8

Therefore,

Watermelon cost = total amount before tax - cost spent for napkin and paper plates

Watermelon cost = 8.25 - 3.8 = 4.45

Thus cost of watermelon is $ 4.45

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