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Dmitry_Shevchenko [17]
3 years ago
12

Melissa said that each member of her group completed 5/12 foot of a tower for a garden display. There were 3 members in her grou

p. Which equation shows the total height of the tower, in feet, when the members stacked all parts on top of each other?
A) 5/12 x 3 = 1 1/4
B) 5/12 ÷ 3 = 5/36
C) 3 + 5/12 = 3 5/12
D) 3 - 5/12 = 2 7/12
Mathematics
2 answers:
QveST [7]3 years ago
8 0

Given, each member of the group completed \frac{5}{12} foot of a tower for garden display.

There were 3 members in the group. We have to find total height of the tower.

To find total height of the tower we will multiply number of members with \frac{5}{12}

So height of the tower = (\frac{5}{12}) (3)

= \frac{(5)(3)}{12}

= \frac{15}{12}

Now to find the height we have to simplify \frac{15}{12}.

To simplify it we will divide the numerator and denominator by a common factor of them. Common factor of 15 and 12 is 3. If we divide both of them by 3 we will get, \frac{5}{4}.

We have got an improper fraction. We need to convert it to mixed fraction.

\frac{5}{4} = 1 \frac{1}{4}

So we have got the required answer.

Option A is correct.

Setler [38]3 years ago
4 0
A) 5/12×3=1 1/4 I know this for sure
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Allisa [31]

Answer:

C. 12

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Pre-Calculus - Systems of Equations with 3 Variables please show work/steps
inessss [21]

Answer:

x = 10 , y = -7 , z = 1

Step-by-step explanation:

Solve the following system:

{x - 3 z = 7 | (equation 1)

2 x + y - 2 z = 11 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Swap equation 1 with equation 2:

{2 x + y - 2 z = 11 | (equation 1)

x + 0 y - 3 z = 7 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y/2 - 2 z = 3/2 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Multiply equation 2 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Add 1/2 × (equation 1) to equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - (3 y)/2 + 8 z = 37/2 | (equation 3)

Multiply equation 3 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - 3 y + 16 z = 37 | (equation 3)

Swap equation 2 with equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x - y - 4 z = 3 | (equation 3)

Subtract 1/3 × (equation 2) from equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y - (28 z)/3 = (-28)/3 | (equation 3)

Multiply equation 3 by -3/28:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract 16 × (equation 3) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y+0 z = 21 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 2 by -3:

{2 x + y - 2 z = 11 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract equation 2 from equation 1:

{2 x + 0 y - 2 z = 18 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Add 2 × (equation 3) to equation 1:

{2 x+0 y+0 z = 20 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 1 by 2:

{x+0 y+0 z = 10 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Collect results:

Answer: {x = 10 , y = -7 , z = 1

3 0
3 years ago
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vivado [14]

Answer:

Option C

Step-by-step explanation:

3\frac{1}{5} \times 2\frac{1}{5}

Lets convert it into improper fraction.

\frac{16}{5} \times \frac{11}{5} = \frac{16 \times 11}{5 \times 5} = \frac{176}{25}

Lets convert \frac{176}{25} into a mixed fraction.

=> \frac{176}{25} = 7\frac{1}{25} = 7.04

Rounding off 7.04 gives 7 and rounding 7 further gives 10.

So , the estimate of the product is 10

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Answer: -11

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3 years ago
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