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tankabanditka [31]
3 years ago
7

A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 1/4 the length of the

larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is meters and the total length of the carpet is meters.
Mathematics
1 answer:
Hoochie [10]3 years ago
3 0

Answer:

longer = 28 meters

Total = 40 meters

Step-by-step explanation:

Let the smaller piece be s,

and the longer piece be b

s = ¼b + 5

s = 12

¼b + 5 = 12

¼b = 7

b = 28 m

Total length = 28+12 = 40 meters

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Write -64.25 as a mixed number.<br> -64.25 as a mixed number
gogolik [260]

Answer:

-64 1/4

Step-by-step explanation:

0.25 is the same as 1/4.

-64.25 = -64 1/4

5 0
2 years ago
The area of Ms. Anderson’s office floor measures 120
Maslowich

Answer:

72 square feet not covered

Step-by-step explanation:

100%-40% = 60%

60% of 120 = 0.6x120 = 72

8 0
3 years ago
Read 2 more answers
Area of right angle triangle is 54 cm2. if one of its leg is 12 cm fine the perimeter
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The perimeter of the right angled triangle should be 36cm, hope this helps:)
8 0
3 years ago
One jar of jelly costs $2.32 for 16 ounces. Another jar costs $2.03 for 13 ounces. Which is the better buy? Why? The jelly that
Katena32 [7]

Answer:

The jar of jelly that costs $2.32 for 16 ounces is the better buy, because the unit rate is less

Step-by-step explanation:

step 1

Find the units rate

<em>One jar of jelly costs $2.32 for 16 ounces</em>

so

The unit rate is equal to \frac{2.32}{16}= 0.145\frac{\$}{ounce}

<em>Another jar costs $2.03 for 13 ounces</em>

so

The unit rate is equal to \frac{2.03}{13}= 0.156\frac{\$}{ounce}

step 2

Compare the unit rates

0.145\frac{\$}{ounce} < 0.156\frac{\$}{ounce}

therefore

The jar of jelly that costs $2.32 for 16 ounces is the better buy, because the unit rate is less

The jelly that costs $2.32 for 16 ounces is the better buy. The unit rate for this jar of jelly is $0.145 or approximately $0.15 per ounce. The unit rate for the second jar of jelly is $0.156 or approximately $0.16 per ounce

3 0
3 years ago
Fairfax Pizza is evaluating a project that would require an initial investment in equipment of 400,000 dollars and that is expec
Darya [45]

Answer:

$178,000

Step-by-step explanation:

The calculation of X and Y is shown below:-

Before that we need to do the following calculations

Depreciation\ in \ 1\ year = 45\%\times Initial\  investment

= 0.45\times\$400,000

= $180,000

Depreciation\ in \ 4\ year = 6\%\times Initial\  investment

= 0.06\times\$400,000

= $24,000

Now, Operating cash flow of X in Year 1

X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate

X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50

= $38,000 + $90,000

= $128,000

and Operating cash flow of Y in Year 4

Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate

Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50

= $38,000 + $12,000

= $50,000

X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2

= $128,000 + $50,000

= $178,000

hence, the X + Y is $178,000

6 0
4 years ago
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