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Georgia [21]
3 years ago
10

Which expression uses the greatest common factor and the distributive property to write the sum 36 1 54 as a product? A 6(6 1 9)

B 9(4 1 6) C 18(2 1 3) D 27(9 1 27)
Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0

9514 1404 393

Answer:

  C  18(2 + 3)

Step-by-step explanation:

The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...

  36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C

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In the diagram of movie theater seats, the incline of the floor, f, is parallel to the seats, s.
weqwewe [10]

Answer:

16. x = 40

17. y = 15

Step-by-step explanation:

16. Given that f is parallel to s, therefore by the corresponding theorem and linear pair theorem, <1 + 3x = 180°

60° + 3x = 180° (substitution)

3x = 180° - 60° (Subtraction property of equality)

3x = 120°

x = 120/3 (division property of equality)

x = 40

17. Since f and s are parallel, therefore,

m<1 = (5y - 7)° (alternate interior angles are congruent)

68° = 5y - 7 (substitution)

68 + 7 = 5y (addition property of equality)

75 = 5y

75/5 = y (division property of equality)

15 = y

6 0
3 years ago
If you have 1912 copies x 305 runs per copy. Would I estimate by multiplying 1912 copies per run by 305 runs.
melisa1 [442]

Answer:

Total = 583160

Step-by-step explanation:

Given

Copies = 1912

Runs = 305 per copy

Required

Determine the total number of runs

To do this, we multiply the number of copies by the number of runs per copy.

i.e.

Total = Copies * Runs

Substitute values for Copies and Runs

Total = 1912 * 305

Total = 583160

<em>Hence, there are 583160  in total</em>

3 0
3 years ago
Referring to the figure, find the volume of the solid
ehidna [41]

Answer:

34483.48 in³

Step-by-step explanation:

<u>We </u><u>know</u><u> </u><u>,</u>

  • Volume = πr²h

<u>Substitute</u><u> </u><u>,</u>

  • V = 3.14 * 17 * 17 * 38 in.³
  • V = 34483.48 in.³
4 0
2 years ago
Read 2 more answers
Kayla wants to represent "18 divided by the sum of 3 and 3". She writes 8/(3x3) . Is Kayla's expression correct? Explain using c
Naya [18.7K]

no it is not correct. 18 divided by the sum of 3 and 3 equals 18 ÷ (3+3)

"sum of 3 and 3 " means 3+3 therefore 8/(3x3) = 8/9 and is completely different from the equation desired to be represented.

4 0
2 years ago
A boat travelled 336 km downstream with the current. The trip downstream took 12 hours.
miskamm [114]

Answer:

We know the distance (d) equation in terms of rate (r) and time (t) as:

d=rt

Step-by-step explanation:

We have given d=336 km and t= 12 hours, so we have: 336 km = 12t <-- this is our equation.

Divide each side by 12 to solve for t:

12t/12=336/12

t= 28 km/ hour

5 0
2 years ago
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