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Natalija [7]
2 years ago
11

André solves the following system of equations by elimination.

Mathematics
2 answers:
Setler79 [48]2 years ago
8 0
The answer is A. 12b = 0
sergij07 [2.7K]2 years ago
4 0

Answer:

12b = 0

Step-by-step explanation:

We are given that,

André solves the following system using elimination method.

3a+6b=12

-3a+6b=-12

<em>Now, in elimination method, we eliminate any one variable from the equations to obtain an equation in single variable.</em>

As, from the system, we see that,

The variable 'a' can be removed by adding both the equations.

So, after adding the equations, we have,

(3a+6b) + (-3a+6b) = 12 + (-12)

i.e. (3a-3a) + (6b+6b) = 12 - 12

i.e. 12b = 0

Hence, the resulting equation is '12b=0'.

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A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d
antiseptic1488 [7]

Solution:

                       Matte Satin    Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18         0.48

Total         0.12         0.46 0.42   1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

\frac{0.18}{0.48}=0.375&#10; or 37.5\%

Therefore, the option D. 37.5% is correct

6 0
2 years ago
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HELP MEEEEEEEEEE Package A contains 3 birthday cards and 2 thank-you notes and costs $9.60. Package B contains 8 birthday cards
hodyreva [135]

Answer:

Each birthday card costs $2.2 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- Package A contains 3 birthday cards and 2 thank-you notes

- It costs $9.60

- Package B contains 8 birthday cards and 6 thank-you notes

- It costs $26.60

- x represents the cost of birthday card and y represents the cost of

 thank-you note

* Lets change these information to two equations

∵ x represents the cost of each birthday cards

∵ y represents the cost of each thank-you notes

∵ Bag A contains 3 birthday cards and 2 thank-you notes

∵ Bag A costs $9.60

∴ 3x + 2y = 9.60 ⇒ (1)

∵ Bag B contains 8 birthday cards and 6 thank-you notes

∵ Bag B costs $26.60

∴ 8x + 6y = 26.60 ⇒ (2)

* Lets solve this system of equations to find x and y

- Multiply equation (1) by -3 to eliminate y

∵ -3(3x) + -3(2y) = -3(9.60)

∴ -9x - 6y = -28.8 ⇒ (3)

- Add equations (2) and (3)

∴ -x = -2.2

- Multiply both sides by -1

∴ x = 2.2

∵ x represents the cost of each birthday cards

∴ The cost of each birthday card is $2.2

* Each birthday card costs $2.2

6 0
2 years ago
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Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3? 4 units to the
Mama L [17]
Left is plus right is negative -11-(-15)=4  so you know 4 to the left
8 0
2 years ago
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Mrs. Epps buys 500 bags of balloons for the high school prom for $250. What is the cost per bag?
Andrej [43]
.50 is the answer I think, hope this helps
7 0
2 years ago
If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?
attashe74 [19]

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

\Rightarrow x-y=4 --------------1

\Rightarrow x-8=2

\Rightarrow x=10 --------------------2

Putting the values of x in equation 1,

\Rightarrow 10-y=4

\Rightarrow y=10-4=6

Therefore, the value of y is 6 units.

7 0
2 years ago
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