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mars1129 [50]
3 years ago
13

X + y = 6 x - y = 8 Solve the system of equations.

Mathematics
2 answers:
MatroZZZ [7]3 years ago
4 0

Answer:

x=7

y=-1

Step-by-step explanation:

When the two equations are solved together, they form simultaneous equations.

x+y=6

x-y=8

Let us use the elimination method. if we add the two equations, we eliminate y.

2x=14

x=7

Let us substitute for the value of x obtained above.

x-y=8

7-y=8

y=7-8

y=-1

dusya [7]3 years ago
4 0
The answer to this question is y=-1
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3 years ago
Please answer<br> fasttt
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7.5 lb/cu ft

Step-by-step explanation:

75 lb / 10 cu ft = 7.5 lb/cu ft

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2 years ago
Please show how to get answer for if a bus traveled 315 miles in 9 hours, how far did it travel in 3 hours?
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Step-by-step explanation: But this is how you get it 315 divided by 3 = 105 or 9x35=315 divided by 3 =105

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2 years ago
Problem PageQuestion The Russell family and the Gonzalez family each used their sprinklers last summer. The water output rate fo
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Answer: the Russell family used their sprinkler for 40 hours.

the Gonzalez family used their sprinkler for 20 hours.

Step-by-step explanation:

Let x represent the number of hours for which the Russell family used their sprinkler.

Let y represent the number of hours for which the Gonzalez family used their sprinkler.

The families used their sprinklers for a combined total of 60 hours. It means that

x + y = 60

The water output rate for the Russell family's sprinkler was 35L per hour. The water output rate for the Gonzalez family's sprinkler was 40L per hour. The total water output of both families was 2200L. It means that

35x + 40y = 2200- - - - - - - - - - --1

Substituting x = 60 - y into equation 1, it becomes.

35(60 - y) + 40y = 2200

2100 - 35y + 40y = 2200

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5 0
3 years ago
Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili
3241004551 [841]

Answer:

P(p>0.43) = 0.0436

Step-by-step explanation:

Given

p = 40\% -- proportion of baseball players

n = 781 --- selected sample

Required

Determine P(p>43%)

First, calculate the z score using:

Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

This gives:

Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}

Convert % to decimal

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}

Z = \frac{0.03}{\sqrt{0.00030729833}}

Z = \frac{0.03}{0.01752992669}

Z = 1.71

So:

P(p>0.43) = P(Z>1.71)

P(p>0.43) = 1 - P(Z

P(p>0.43) = 1 - 0.9564

P(p>0.43) = 0.0436

5 0
2 years ago
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