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stepladder [879]
3 years ago
8

2x + 3y = 7 3x + 2y = 8

Mathematics
1 answer:
Kipish [7]3 years ago
7 0

Answer:

\boxed{\sf \ \ \ x=2, \ \ y =1 \ \ \ }

Step-by-step explanation:

Hello,

Pls post the full question next time so that we can make sure what is expected.

I assume that you want to solve for (x,y)

   (1) 2x + 3y = 7

   (2) 3x + 2y = 8

2*(2)-3*(1) gives

2*3x + 2*2y - 3*2x - 3*3y = 2*8 - 3*7 = 16 - 21 = -5

6x - 6x + 4y -9y = -5

-5y=-5

y = 1

and we can replace in (1)

2x + 3*1 = 7

2x = 7 - 3 = 4

x = 2

hope this helps

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3 years ago
Based on data collected from its production processes, Crosstiles Inc. determines that the breaking strength of its most popular
alexandr1967 [171]

Answer:

16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.

Step-by-step explanation:

We are given that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a the standard deviation of 12.5 pounds per square inch.

Let X = <u><em>the breaking strength of its most popular porcelain tile</em></u>

SO, X ~ Normal(\mu=400,\sigma^{2}=12.5^{2})

The z score probability distribution for normal distribution is given by;

                        Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean breaking strength of porcelain tile = 400 pounds per square inch

           \sigma = standard deviation = 12.5 pounds per square inch

Now, probability that the popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch is given by = P(X > 412.5)

        P(X > 412.5) = P( \frac{X-\mu}{\sigma} > \frac{412.5-400}{12.5} ) = P(Z > 1) = 1 - P(Z \leq 1)

                                                               = 1 - 0.84 = <u>0.16</u>

Therefore, 16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.

7 0
2 years ago
BRAINLIEST!! The product of two numbers is 144, but their sum is –24. What are these two numbers?
mestny [16]

Answer:

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Step-by-step explanation:

it is because when we multiply two -digit the answer is in +

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8 0
2 years ago
Read 2 more answers
-x+y= -2
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Answer:

parallel

Step-by-step explanation:

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Sara was thinking of a number. Sara halves the number and gets an answer of 38.5. Form an equation with x for the information
lbvjy [14]

Answer:The equation wth x in the information can be written as

1/2 x = 38.5 , Upon solving, the number = 77

Step-by-step explanation:

Let the number Sara was thinking about be x

halving the number to get an answer = 38.5 can be expressed as

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The equation with x in the information can be written as

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solving it becomes

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The number Sara was thinking about = 77

4 0
2 years ago
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