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3 years ago

Find the solution of this system of equations x-8y=21 and 3x--8y=15

1 answer:

7 0

If you would like to find the solution of the system of equations, you can do this using the following steps:

x - 8y = 21 /*(-3)
3x - 8y = 15
______________
-3x + 24y = -63
3x - 8y = 15
______________
-3x + 24y + 3x - 8y = -63 + 15
16y = -48 /16
y = -48/16
y = -3

x - 8y = 21
x = 21 + 8y
x = 21 + 8 * (-3)
x = 21 - 24
x = -3

(x, y) = (-3, -3)

The correct result would be (-3, -3).

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3 years ago

James invests a total of $18,000 in two accounts paying 13% and 3% annual interest, respectively. How

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Answer:

$15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.

Step-by-step explanation:

Given that James invests a total of $ 18,000 in two accounts paying 13% and 3% annual interest, respectively, to determine how much was invested in each account if, after one year, the total interest was $ 2,040.00, the following calculation must be performed:

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3 years ago

Country Club Activities At the Avonlea Country Club, 67% of the members play bridge and swim, and 86% play bridge. If a member i

Volgvan

Answer: 0.78

Step-by-step explanation:

Given : P(bridge and swim) = 0.67

P(bridge)= 0.86

Formula for conditional probability :

$P(B|A)=\dfrac{P(\text{A and B})}{P(A)}$

So, $\text{P(swim }|\text{ bridge) = }\dfrac{\text{ P(bridge and swim)}}{\text{P(bridge)}}$

$=\dfrac{0.67}{0.86}\approx0.78$

Hence, the probability that the member swims, given that the member plays bridge = 0.78

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3 years ago

Using the work I’ve done so far as reference, show that neither triangle is a vector translation of the other. Draw a diagram.

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When we move the triangle RPQ horizontally or vertically or side ways, the triangle will not coincide with the triangle KLM.

Similarly, if we move the triangle KLM horizontally or vertically or side ways, the triangle will not coincide with the triangle RPQ.

Hence, both the triangles are not vector translations of each other.

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1 year ago