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ivolga24 [154]
4 years ago
11

2x+3y=23 3x-y=7 Solve for x

Mathematics
1 answer:
NeTakaya4 years ago
5 0
2x + 3y = 23...........................(1)

3x  - y  =  7   Multiply by 3:-

9x - 3y = 21      Adding this to equation (1):-

11x = 44
x = 

Plug this into equation (1):-
2(4) + 3y = 23

3y = 15
y = 5

Answer is x = 4, y = 5

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Answer:

a) 37º

b) 143º

c) 2x - 5 = 143

Step-by-step explanation:

a) Angles 5 and 7 are vertical angles and therefore have the same measurements.

b) Angles 5 and 6 form a straight line and are therefore supplementary (add up to 180º). 180 - 37 = 143.

c) We found the measure of angle 6 is 143º in part b. We can set that equal to 2x - 5. Therefore the equation is 2x - 5 = 143.

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2 years ago
Solve y=3bx-7x for x
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Y = 3bx - 7x
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A group of married couples takes an IQ test. The average husband's IQ is 105 with an SD of 15 and the average wife's IQ is 110 w
Aloiza [94]

Answer:

Wife' s IQ = 100

0.2% are smarter than their wives.

Step-by-step explanation:

We are given the following information in the question:

Husband:

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Wife:

Mean = 110

SD = 10

Correlation between husband's and wife's IQ = 0.5

a) Let the husbands be represented by X and wives by Y.

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Standardizing the scores, we get:

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

\dfrac{75-105}{15} = -2

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Z_Y = rZ_X

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Z_Y = 0.5(-2) = -1

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SD = SD_Y\sqrt{1-r^2} = 10\sqrt{1-0.25} = 8.66

We know that a husband of an IQ 75 will have a wife of a mean IQ of 100. So for a man to be smarter than his wife she should have IQ less than 75.

P(Y

8 0
3 years ago
How do I solve this equation I do not know how to solve this
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Answer:

It's 3/40

Step-by-step explanation:

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