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frozen [14]
3 years ago
7

Solve |x| + 7 < 4. Please help

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Answer:

  no solution

Step-by-step explanation:

Subtract 7 from both sides of the inequality:

  |x| +7 -7 < 4 -7

  |x| < -3

This has <u>no solution</u>, because an absolute value cannot be negative.

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your local gas stations are having a price war during the past seven days they have lowered the price of regular gas by $0.2 eac
Serga [27]
<h2>Answer with explanation:</h2>

Let x denotes the number of days and y denotes the total change in gas price ( in dollars).

Given : During the past seven days the price of regular gas is decreased by $0.2 each day.

Rate of decrease =$0.2 per day

Then , Total change in gas price = Rate of decrease x Number of days

i.e.y= 0.2 \times x

i.e. y=0.2x         (1)

To find the total change in gas price in 7 days , we put x= 7 in (1) , we get

y=0.2(7)=1.4    

Hence, the total change in gas price in 7 days = $1.4

8 0
3 years ago
A painting is on sale at 50% off. The sale price is $320. What was the original price? I understand that you can do 320 x 2, how
zhannawk [14.2K]

Answer:

(320 ÷ 50) × 100

Step-by-step explanation:

if you divide 320 by 50, you get what a single percent of the original price would be. So to get the original price, you just need 100 of the singular percentages, which you can get by taking a singular percentage (320 ÷ 50) and multipoint it by 100

4 0
3 years ago
What changes could you make to values assigned to outcomes to make the game fair? Prove that the game would be fair using expect
ozzi
For a definite answer, let us take a look at the given circle graph. You are given that landing on a blue sector will give 3 points, landing on a yellow sector will give 1 point, purple sector will give 0 points and red sector will give -1 point. You are asked to find the probability of landing -1, 0, 1 and 3 points. There are a total of 7 pie graphs in the circle.

For -1 point, you know that only a red sector will give you a negative one point. In the circle graph, there are two red portions. So you will have a probability of 2/7.

For the 0 point, you know that only a purple sector will give you zero point. In the circle graph, there are two purple portions. So you will have a probability of 2/7.

For the 1 point, you know that only a yellow sector will give you one point. In the circle graph, there are two yellow portions. So you will have a probability of 2/7.

For the 3 points, you know that only a blue sector will give you three points. In the circle graph, only one blue portion is shown. So you will have a probability of 1/7.
5 0
3 years ago
Read 2 more answers
6+m/2 = -3 <br> Help me pleAseeee
Nataly [62]

Answer:

m = -18

Step-by-step explanation:

6 + m/2 = -3

Subtract 6 from each side

6 + m/2 -6 = -3-6

m/2 = -9

Multiply each side by 2

m/2 * 2 = -9*2

m = -18

3 0
2 years ago
Read 2 more answers
A cylindrical tank with a radius of 12 inches and a height of 20 inches is full of water. Does the tank have enough water to fil
Reptile [31]

Answer:

Yes, it can.

Step-by-step explanation:

To know if you can fill all the water balloons with the tank, the first thing is to calculate the volume of each one.

Volume of the tank, is a cylinder, whose volume is given as follows:

Vc = Pi * Rc ^ 2 * h

 

The radius of the cylinder has a value of 12 inches and the height of 20 inches. Thus:

Vc = 3.14 * (12) ^ 2 * 20 = 9043.2 inches ^ 3

Now, the volume of each globe that is a sphere is given by the following equation:

Ve = (4/3) * Pi * Re ^ 3

Being the radius of the sphere of 2, we have to:

Ve = (4/3) * 3.14 * 2 ^ 3 = 33.5 inches ^ 3

Now to know if you can fill all the balloons, we calculate the volume ratio of the tank and a balloon.

Vc / Ve = 9043.2 /33.5 = 269.95

Therefore, it can fill the 250 balloons because it has the capacity to carry approximately 269 balloons.

8 0
3 years ago
Read 2 more answers
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