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In-s [12.5K]
3 years ago
9

Determine the solution set for (x-3)2-18=-4

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0
Add 18 to both sides to get 2(x-3)=14, then divide by 2 to get (x-3)=7, and finally add 3 to both sides to get x=10, hope that helps :)
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5l of 70% alcohol solution was mixed with 9l of pure water what is the concentration of the mixture
ElenaW [278]

The new mixture has a total volume of 5 L + 9 L = 14 L.

70% of the 5 L alcohol solution is alcohol, so that it contributed 3.5 L of alcohol to the mixture. The pure water contributed no alcohol. So in the mixture, the concentration of alcohol is

3.5 L / 14 L = 0.25, or 25%

6 0
3 years ago
27/64A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch r
tankabanditka [31]

Answer:

9.86 inches

Step-by-step explanation:

Given:

The cup will be a right circular cone with:-

Radius, r = 3 inches

Volume of cone = 93 cubic inches

Height of the cup, h = ?

Solution:

<u>By using :-</u>

<u />Volume\ of\ right\ circular\ cone=\frac{1}{3} \pi r^{2} h

                                            93 =\frac{1}{3} \times\frac{22}{7} \times3\times3\times h\\ \\ 93=\frac{198}{21} h\\ \\ 93=9.43h

By dividing both sides by 9.43

\frac{93}{9.43} =\frac{9.43h}{9.43} \\ \\ 9.86\ inches=h

Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.

6 0
3 years ago
Which one has a greater value, , -7 + (-7) or -7 - (-7)? Explain your answer. GIVING BRAINLIEST!!!
dmitriy555 [2]
-7 -(-7) because it will equal zero and the other one will be -14
6 0
3 years ago
I'LL WON'T BE OFFEND IF U DON'T HELP ME WITH THIS
Evgesh-ka [11]

The average is found by adding the numbers and dividing by 2.

Since the average is 17, the total of the two numbers must equal 17 x 2 = 34.


One number is given as 11, so subtract 11 from 34:

34 - 11 = 23

The other number is 23.

Too check: add 11 and 23 and then divide by 2:

11 + 23 = 34

34/2 = 17.

5 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through (-5, -1) and is parallel to the line y=4x-6?
mr_godi [17]
Hello : 
<span>the equation all lines passes through (-5, -1) is :
y - (-1) = m(x -(-5))   m the slope
if this line parallal </span><span>to the line y=4x-6 so : m= 4  (same slope )
</span><span>the equation of the line that passes through (-5, -1) and is parallel to the line y=4x-6:    is  : 
</span> y+1 =4(x+5)
y = 4x +19

8 0
3 years ago
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