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bekas [8.4K]
3 years ago
6

A sweater that regularly sold for $52 is now on sale at 30% off. What is the sale price?

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

Step-by-step explanation:

What you have to do is set it up like this

what you have to do is

(30*52) ÷ 100=x

1664 ÷ 100= 16.64

52-16.64= 35.36

35.36 is the new sale price

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A county government says that a safe level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.
Schach [20]

Answer:

Part A : <u>|x-2.5| ≤ 0.75  , x ∈ [1.75,3.5]</u>

Part B : yes, the lifeguard should add more chlorine.

Step-by-step explanation:

Part A:

Let  C is the variation of the level of chlorine in a hot tub.

Level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

To find absolute value inequality, need to find the standard level of chlorine 1.75 + C or 3.25 - C

1.75 + C = 3.25 - C

2C = 5

C = 2.5

So, the standard level would be 2.5 ppm,

If x represents the present level of chlorine,

Then it would be lie within 1.75 ppm of 3.25 ppm.

1.75 ≤ x ≤ 3.25

Subtract 2.5 from all sides

1.75 - 2.5 ≤ x -2.5 ≤ 3.25 - 2.5

-0.75 ≤ (x-2.5) ≤ 0.75

which is equivalent to the following absolute value inequality.

<u>|x-2.5| ≤ 0.75</u>

<u>And the solve of the inequality : x ∈ [1.75,3.5]</u>

Part B:  If x = 1.0 ppm,

∴ |1.0-2.5| = 1.5 which is not less than equal to 0.75.

Another explanation:

the minimum safe level of chlorine in a hot tub is 1.75 ppm

Since 1 < 1.75

Therefore, lifeguard should add more chlorine.

8 0
3 years ago
Three times the sum of n and four is twelve. write an equation or inequality.​
lisabon 2012 [21]

9514 1404 393

Answer:

  3(n+4) = 12

Step-by-step explanation:

The sum of n and 4 is (n+4). Three times that sum is 3(n+4). When we say it "is 12", we mean it is equal to 12.

  3(n +4) = 12

5 0
3 years ago
A line passes through points (-4, -19) and (-6, 4). what is the equation of the line written in slope-intercept form?
BabaBlast [244]
The equation of the line written in slope-intercept form is:

y = mx + b
Where m is the slope and b is the y-intercept.
You find the slope using the formula:

m =  \frac{yb - ya}{xb - xa}
Where point A coordinates' are (-4,-19) and point B (-6, 4).

m =  \frac{4 + 19}{ - 6 + 4}
m =  -  \frac{23}{2}
Now you find b (y-intercept) substituting in y=-23/2x+b the coordinates of point A or point B:
(I'll use point B coordinates')
y=-23/2x+b
4=-23/2×(-6)+b
4=46+b
b=-42
The equation of the line is y=-23/2x-42
5 0
3 years ago
I need someone to explain this step by step. I have a test very soon.
8090 [49]

Answer:

So you are going to multiply what is in the parentheses by two it will become 6x + 4.This will be for the second statement box. And the next will be 6x=18 and that will be the subtraction property or equality. For the last it would be x=3 and that would be the division property of equality.  

Step-by-step explanation:

8 0
2 years ago
Evaluate the formula F = 1.8 C + 32 for C = -30
Pani-rosa [81]

Answer:

F = -22

Step-by-step explanation:

F = 1.8 C + 32 for C = -30

F = 1.8 C + 32 = 1.8(-30) + 32 = -54 + 32 = -22

7 0
3 years ago
Read 2 more answers
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