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kari74 [83]
3 years ago
14

Michaela has 11/12 yard of orange fabric and 7/8 yard of green fabric. She uses 1/2 yard of each color for her sewing project. H

ow much fabric does Michaela have left if she combines the two colors?
Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer:

  19/24 yards

Step-by-step explanation:

The total Michaela started with was ...

  11/12 + 7/8 = 22/24 + 21/24 = 43/24 . . . . yards

She used a total of 1 yard, so has ...

  (43 -24)/24 = 19/24

yards remaining.

Michaela has 19/24 yards (or 28.5 inches) of fabric left over.

You might be interested in
If 3x + 5y = 2 and 2x - 4y = 20, what is 5x - y?
gavmur [86]

Answer:

= 298/11

Step-by-step explanation:

3x + 5y = 2 | ×2 |

2x - 4y = 20 | ×3 |

6x + 10y = 4

6x - 12y = 60

____________--

22y = -56

y = -56/22

y = -28/11

3x + 5y = 2 | ×4 |

2x - 4y = 20 | ×5 |

12x + 20y = 8

10x - 20y = 100

_____________+

22x = 108

x = 108/22

x = 54/11

5x - y

= 5(54/11) - (-28/11)

= 270/11 + 28/11

= 298/11

8 0
3 years ago
Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
AfilCa [17]

Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = 5\frac34 \ hrs.

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

5\frac34 \ hrs. can be Rewritten as \frac{23}{4}\ hrs

Number of hours rode on first day = \frac{23}{4}\ hrs

Also Given:

Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

Number of hours rode on second day = \frac{34}{5}\ hrs.

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

3 0
3 years ago
I'll give 30 points and brianlist
Sedaia [141]

Answer:

80,10,66

Step-by-step explanation:

Hope this helps :)

6 0
3 years ago
Alg I Sem 2 Final Comp South Panola MS 2021-2022
weeeeeb [17]

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let f and g representing the approximate number of viewers, in millions,  x weeks after the tracking begins.

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

Find out more on exponential function at: brainly.com/question/12940982

7 0
2 years ago
The product of a number and 9, increased by 4, is 58. Find the number.
diamong [38]
9x + 4 = 58
9x = 54
x = 6

The number is 6.
4 0
4 years ago
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