Which represents the solution set of 5(x+5)<85

Answers

Answer 1
Answer:

For this case we must find the solution of the following inequality:

5(x+5)<85

We apply distributive property on the left side of inequality:

5x+25<85

We subtract 25 from both sides of the inequality:

5x<85-25

5x<60

We divide between 5 on both sides of the inequality:

x<60/5

x<12

Thus, the solution is given by all values of x less than 12.

x<12

What is the equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

What is the equation form?

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

To learn more about the equation, refer

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Answer 2
Answer: x<12 
5(x+5)<85 
5(x + 5)/5 < 85/5 
x + 5 < 17 
x + 5 - 5 < 17 - 5

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Find the slope of each line. 9) y = -x + 3 A. -1 B. 1 C. 3 D. -3

Answers

Answer:   -1

Reason:

Compare the given equation to the template y = mx+b

m = -1 = slope

b = 3 = y intercept

If it helps, then think of y = -x+3 as y = -1x+3

Final answer:

The slope of the line represented by the equation y = -x + 3 is -1.

Explanation:

The question is asking you to find the slope of the line represented by the equation y = -x + 3. In the standard form of a linear equation, y = mx + b, m is the slope of the line. The slope of a line tells you how steep the line is. It is determined by the ratio of the vertical change (the 'rise') to the horizontal change (the 'run') between any two points on the line. In this case, the equation of the line is y = -x + 3, so the slope of the line is the coefficient of x, which is -1. Therefore, the correct answer is A, -1. This might contrast with the figure A1 example, in which m is 3, but for your particular equation, m is -1.

Learn more about slope here:

brainly.com/question/3605446

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A group of biologists found a total of 28 loggerhead turtle nests along a beach during a certain season. This was 40% of the total number of turtle nests the group found during that season. What was the total number of turtle nests the group found during that season?70
85
110
143

Answers

First divide 28 by 40 to get the unit rate which is 0.7. Then, since that is 1% mulitiply 0.7 times 100 to get 70 turtles as your answer. hope that helped!
28=.4x
70=x
They found 70

True or false? The equation (x y)^2 is always equal to x^2 y^2.

Answers

Hello!

Answer:

\Large \boxed{\sf True}

Step-by-step explanation:

→ We want to find if the expression (xy)² is equal to x²y².

→ Let's simplify the expression:

→ We know that \sf (a * b)^n is equal to \sf a^nb^n.

In our expression:

\sf a = x\nb = y\nn = 2

→ So the expression is equal to:

\sf x^2 y^2

Conclusion:

The expression (xy)² is equal to x²y².

So the answer is true.

Answer:

True

Step-by-step explanation:

(xy)²

= xy × xy

= x × x × y × y

= x² × y²

= x²y² ← True

Which decimal number is 17/22 equal to?

Answers

Answer with explanation:

A decimal number is terminating , if it's denominator is of the form 2^p \text{or} 2^p * 5^q \text{or} 5^q.

The fraction or Rational number ,

                                          (17)/(22)=(17)/(11* 2)

has both 2, and 11 in the denominator,it means this decimal number is non terminating repeating.

So, (17)/(22)=0.72272727......\n\n=0.72\bar{27}

Non terminating repeating decimal.

It is equal to 0.7727272727

A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the bag.What is the probability that the marble drawn will not be blue?

A. 2/9

B. 3/4

C. 7/9

D. 7/8

Answers

Probability of anything =

     (number of possible successful outcomes)
divided by
     (total possible number of outcomes) .

There are 36 total marbles in the bag, so there are 36 total
possible outcomes of one draw.

The successful outcomes are all the possible draws that are
not blue.    There are 28 of those.

So the probability of a non-blue selection is 

         28/36  =  7/9  =  77.8%  (rounded)

Answer:

It is indeed 7/9

To prove, I took the test with the answer 7/9, and took a screenshot.

Anyways, hope this helps, and have a great day

You are at a restaurant and the check comes to a total of $76. If you want to leave a19% tip, how much total money should you pay, to the nearest cent?

Answers

You should pat a total of $90.44