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Rama09 [41]
3 years ago
7

Find the ordered pair of x=5y-7 and x+5y=8

Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer:

The desired ordered pair is (1/2, 3/2).

Step-by-step explanation:

Let's use the substitution method here to determine either x or y first:

x = 5y - 7 (given).  Then 5y - 7 can be substituted for x in x + 5y = 8:

5y - 7 + 5y = 8.

Combining like terms, we get 10y = 15, so that y = 3/2.

Find x by substituting 3/2 for y in x = 5y - 7:  x = 5(3/2) - 7 = 15/2 - 14/2 = 1/2

The desired ordered pair is (1/2, 3/2).

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PLZ HELP!!!!!!!
mrs_skeptik [129]

Answer:

  5.  A) two solutions

  6.   one solution

Step-by-step explanation:

5. A graph shows the curve has two x-intercepts, so two solutions. You can also figure this by looking at the discriminant:

  b^2 -4ac = (7)^2 -4(-4)(8) . . . . a positive number

When the discriminant is positive, there are two real solutions.

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6. The equation factors as ...

  0 = 3(x +3)^2

This will have one real solution at x=-3.

8 0
3 years ago
A researcher wishes to determine whether there is a difference in the average age of middle school, high school, and college tea
MakcuM [25]

The correct statement that can be made about the means is a. There is not enough evidence to suggest that the means are different.

<h3>What is true about the means?</h3><h3 />

Given that α = 0.01, we can use an ANOVA analysis to determine the p-value of the means.

When we run the means through an ANOVA software, the p-value can be found to be 0.1142.

This figure is greater than α = 0.01.

This means that we do not have the evidence to reject the null hypothesis that the means are different.

Options for this question:

  • a. There is not enough evidence to suggest that the means are different.
  • b. The mean age of middle school teachers is different from the mean age of high school teachers.
  • c. The mean age of middle school teachers is different from the mean age of college teachers.
  • d. The mean age of high school teachers is different from the mean age of college teachers.

Find out more on the p-value at brainly.com/question/4621112

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7 0
2 years ago
Divide<br><br> −4 1/3 ÷ −2 3/5
Alex777 [14]

Answer:

1 2/3

Step-by-step explanation:

-4 1/3 ÷ -2 3/5

-13/3 ÷ -13/5

-13 x 5/ 3x -13

-65/-39

1 2/3

5 0
3 years ago
Read 2 more answers
In 2021,julia is 14 years old.michael is 2.50 times as old as julia.how old will julia be when michael is 60?
TiliK225 [7]

The Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the age of the Julia is x years when Michael is 60

Julia's age = 14 years in 2021

Age of Michael = 2.50×14 = 35 years

Increase in age Michael  of 60 – 35 = 25

x = 14+25 = 39 years

Thus, the Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.

Learn more about the linear equation here:

brainly.com/question/11897796

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3 0
2 years ago
What percent of 109 is 158.3
Savatey [412]

158 is 144.95412844037% of 109

3 0
4 years ago
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