MATHEMATICS HIGH SCHOOL

Peter says, "If you subtract 14 from my number and multiply the difference by - 6, the result is - 90." What is Peter's number? Peter's number is​

Answers

Answer 1
Answer:

Translating the phrases into algebraic equation, peter's number would be: 29.

Representing Word Problems with Algebraic Expressions

Let the unknown value be variable x, then translate the phrases given into algebraic expressions and solve for the unknown variable.

Let Peters number be x

  • Therefore:

-6(x - 14) = -90

Solve for x

-6x + 84 = -90

-6x = -90 - 84

-6x = -174

  • Divide both sides by -6

x = 29

Therefore, translating the phrases into algebraic equation, peter's number would be: 29.

Learn more about algebraic equation on:

brainly.com/question/2164351
Answer 2
Answer:

Answer:

29

Step-by-step explanation:

i think this is helpful

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Triangle ABC is going to be reflected over the line y = X.If A is located at (1,-7), where will A' be located?

Answers

Answer:

(-7, 1)

Step-by-step explanation:

Coordinate rules :]

Reflection over x-axis -- (x, y) -> (x, -y)

Reflection over y-axis -- (x, y) -> (-x, y)

Reflection over y = x -- (x, y) -> (y, x)

Reflection over y = -x -- (x, y) -> (-y, -x)

The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is −0.9547. What is the correct interpretation of this number?

Answers

Answer:

The correlation coefficient is close to -1. There is a strong negative correlation between the amount of time spent working out and the amount of weight lost.

Step-by-step explanation:

I did it on USATestprep.  -0.9547 is close to -1. This indicates a strong negative correlation. When the workout time increases, Jason's weight decreases.

The population of the country of Oz was 600,000 in the year 2010. The population is expected to grow by a factorof 5% annually. The annual food supply of Oz is currently sufficient for a population of 700,000 people and is
increasing at a rate that will supply food for an additional 10,000 people per year.
c. At what point does the population exceed the food supply? Justify your response.

Answers

Answer:

After 5 years (2015)

Step-by-step explanation:

The population is increasing 5% per year, so the first year it will be 1.05 of the initial, the next year 1.05x1.05 of the initial, and then  successively, so, for n years:

P(n) = 600,000*(1.05)ⁿ

The food suply increase 10,000 people per year, so the first year will be 10,000 + the initial, the next year 10,000 + 10,000 + the initial, and then  successively, so, for n years:

F(n) = 70,000 + 10,000*n

So

P(n) > F(n)

600,000*(1.05)ⁿ > 70,000 + 10,000*n

(1.05)ⁿ > 1.167 + 0.0167n

Solving in a computer:

n > 4.42

So, after 5 years the population exceed the food supply.

What is the surface area, in square inches, of a disco ball with a circumference of 188.5 centimeters?

Answers

A = 11300 cm2

Hope this helps!

5x+12= -13 (find the x)

Answers

The answer is negative 5 because you subtract 12 from each side to get 5x=-25 and -25 divided by 5 is negative 5
Hey, Jamylovesdonuts!
5x+12=-13
5x=-13-12
5x=-25
x=-5
I hope this helps;)

The table below represents a linear function f(x) and the equation represents a function g(x).. . Table:. x f(x). 0 30. 1 32. 2 34. . Equation:. g(x). g(x)=8x-25. . Part 1. Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).. . Part 2. Which function has a great y-intercept?. . Please help!

Answers

x   f(x)
0   30
1   32
2   32

g(x) = 8x - 25

y = mx + b  ⇒ where m is the slope and b is the y-intercept

30 = m(0) + b 
b = 30

32 = m(1) + 30
32 - 30 = m
2 = m

The y-intercept of the following equations are:
f(x) = 30
g(x) = -25

The slope of the following equations are:
f(x) = 2
g(x) = 8

f(x) has a greater intercept than g(x).
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