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Xelga [282]
3 years ago
14

Zoey needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3

.25 hours and charged her $59 for parts. The total was $205.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Mathematics
1 answer:
solmaris [256]3 years ago
6 0
X = Amount paid one hour
205.25 - 59 = 146.25
3.25x = 146.25
x = 146.25 ÷ 3.25

x= 45
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cluponka [151]
The answer is 39 (: !!
8 0
3 years ago
At a schools field day, students will throw table tennis balls then measure the distance. There are 626 students in the school.
qaws [65]

Answer: 105 packs

Step-by-step explanation: The correct answer is 105 packs of table tennis balls. You need a total of 626 balls, so you divide this by 6 because that is what a standard package contains. The formula is 626/6 = 104.3. You will need 104 packs plus .3 of a pack, which means that you need to round it up to 105 packs of table tennis balls.

4 0
3 years ago
Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0
antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

6 0
3 years ago
Read 2 more answers
3 ( x - 2 ) + 5 x = 18
Anna11 [10]

Answer:

3 is correct answer

Step-by-step explanation:

3(x - 2) + 5x = 18 \\  3x - 6 + 5x = 18 \\ 8x - 6 = 18 \\ 8x = 18 + 6 \\ 8x = 24 \\ x =  \frac{24}{8}  \\ x =  3

hope it helped you:)

3 0
3 years ago
Read 2 more answers
Determine if each pair of expressions is equivalent. If so state the property shown
Elis [28]
They are not equivalent.

24/6= 4,
4/2=2

6/24= 0.25,
0.25/2= 0.125

2 does not equal 0.125
Final answer: Not equivalent
8 0
3 years ago
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