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olga55 [171]
4 years ago
7

What is the solution of x−7>1?

Mathematics
1 answer:
ratelena [41]4 years ago
8 0

Answer: x > 8

Step-by-step explanation: To solve the inequality x - 7 > 1, our goal is the same as it would be if we were solving an equation, to get <em>x</em> by itself on one side.

So here, since 7 is being subtracted from <em>x</em>, we need to add 7 to both sides of the inequality to get x > 8. We then write our answer in <em>set notation</em>, as the set of all x’s such that x > 8, shown below.

<h2>{x : x > 8}</h2>

It's important to understand that this solution set means that any number greater than 8 is a solution to this inequality.

For example, 9, 10, 28, 872, 642,000, and so on

are all solutions to this inequality.

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Find the value(s) of the variable(s). Write your answer(s) in simplest radical form.
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Answer:

Step-by-step explanation:

12). By applying Pythagoras theorem in the given right triangle,

      Hypotenuse² = (Leg 1)² + (Leg 2)²

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      x² = 2(7)²

      x = \sqrt{2(7)^{2} }

      x = 7\sqrt{2}

13). By sine rule,

      sin(60)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

      \frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}

      y = \frac{18\sqrt{3} }{\sqrt{3} }

      y = 18

      By cosine rule,

      cos(60)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

      \frac{1}{2}=\frac{x}{y}

      x = \frac{y}{2}

      x = \frac{18}{2}=9

14). By applying Pythagoras theorem in the given right triangle,

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5 0
4 years ago
Melanie's food bill at a restaurant is $28.45. The sales tax rate is 6%. If she added 20% of the amount for a tip, what is the t
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The total cost of the meal would be $36.19
3 0
4 years ago
Show work plz
Mazyrski [523]
So first we need to get rid of that naughty sales tax so we need to divide 30.45 by 1.05 since 30.45 is 105% of the pre-tax price. We get the answer of 29 and subtract 12 from 29 since the long fleece socks cost 12 bucks and we get 17 dollars. Since there are 2 pairs of regular songs we divide 17 by 2 and get 8.5

So the regular socks cost $8.50

Checking work 8.5*2=17
12+17=29
1.05*29=30.45

If u need more help feel free to ask me
3 0
3 years ago
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"Quantitative" information is information that consists of numbers
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The model of the car may have numbers in it, but it doesn't tell
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7 0
3 years ago
Read 2 more answers
I need help describing why for each one!
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