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telo118 [61]
3 years ago
10

a machine takes 4.2 hours to make 7 parts . At that rate how many parts can the machine make in 28.8 hours.

Mathematics
1 answer:
muminat3 years ago
5 0
17.28 because 4.2 divided by 7 is .6 then .6 times 28.8 is 17.28
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Expand and simplify (2x−12) ^2
lubasha [3.4K]

Answer:

\boxed{4x^{2}  - 48x + 144}

Step-by-step explanation:

Given expression:

  • (2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

\rightarrowtail (2x - 12)^{2}

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \  [\small\text{First term = a = 2x; Second term = b = 12]}

Now, simplify the expression.

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}

\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)

\rightarrowtail \boxed{4x^{2}  - 48x + 144}

4 0
2 years ago
Area of the living room is 180 square feet and the perimeter is 54 feet. What are the dimensions in feet?
dolphi86 [110]

Answer.....15ft by 12ft

Explanation:

Area = Length × Width

180 = LW....make W the subject of formula

;W = 180/L

Perimeter = 2L + 2W

54 = 2L + 2(180/L)...sub W with the formula above...

then simplify the equation and obtain...

2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..

;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...

where W = 180/15 = 12ft

there you have...Length = 15ft and Width = 12ft

5 0
3 years ago
What is 5,000 in scientific notation?
eimsori [14]
5.0x103

Bolded=exponent
4 0
3 years ago
Question 4 0
BartSMP [9]

Answer:

Fail to reject the null hypothesis because 0.15>0.05

. There is not convincing evidence that defensive players can bench-press more weight, on average, than offensive players.

Step-by-step explanation:

Since P>a we can not reject the null hypothesis. We cannot conclude the alternative hypothesis in context.

5 0
2 years ago
If the radius of a circle is 6 centimeters, what is its area?
Serggg [28]

Answer:

113

Step-by-step explanation:

p x r^2 =

pie x 6^2 = 113.097…

5 0
3 years ago
Read 2 more answers
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