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Schach [20]
3 years ago
15

Solve and graph the following compounf inequalities 7<5x+2<22

Mathematics
2 answers:
Digiron [165]3 years ago
7 0
1<x<4 is the answer for the question

nevsk [136]3 years ago
3 0
Hey there!

7 < 5x + 2 < 22
Let's start by adding -2 to both sides
7 - 2 < 5x + 2 - 2 < 22 - 2
5 < 5x < 20
Then divide each part by 5 :)
5/5 < 5x < 20/5
1 < x < 4


I hope this helps. Please let me know if you have questions about the answer.
Down bellow is the graph.

Best of luck with your studies!

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To increase an amount by 5% what single multiplayer would u use? PLZ HELP!!
bezimeni [28]
You can use times the value by 1.05 to find the answer directly
5 0
3 years ago
What number must you add to complete the square?<br><br> x^2-10x=46
gtnhenbr [62]
X² - 10x = 46
10/2 = 5; 5²+ 25 add 25 to both sides

x² - 10x + 25 = 46 + 25

so the number you have to add to complete the square is 25.
5 0
3 years ago
A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard
Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

\sigma=\frac{0.8}{\sqrt{37}}=0.13

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, P(z > 1.69) = 1 - P(z < 1.69)

P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0
3 years ago
Consider the equation and its solution.
madreJ [45]
30 Me mark as brainlist
6 0
2 years ago
How do u make 25 m to *what* cm?
vodka [1.7K]

Answer:

2500 cm

Step-by-step explanation:

1 meter = 100 cm

25m x 100 = 2500 cm

7 0
2 years ago
Read 2 more answers
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