Karen has 3 pieces of ribbon that are each 2 3/4 yd long. She also has a piece of lace that is 3 1/5 yd long. Karen needs to cut the lace into 4 pieces that are all the same length to finish a sewing project. How long should each piece of lace be? A. 1 4/5 yd B. 1 1/4 yd C. 11/12 yd D. 4/5 yd
Solution 1
Convert the mixed fraction into an improper fraction.
3 * 5 = 15
15 + 1 = 16
The fraction is now
Divide the fraction by 4, as you want to get 4 equally long pieces.
You get
The answer is D.
Solution 2
Because the lace is 3.2 ydlong, so 3.2÷4=4/5
📚 Related Questions
The next number in the sequence will be 12.
Explanation
The given sequence is: 8, 15, 14, 9, 1, 6, 3
If we express these numbers in words, then we can see that the words are in alphabetical order, like....
Eight, Fifteen, Fourteen, Nine, One, Six, Three
There are two numbers 10 and 12 in the options which starts with letter 'T' , but alphabetically 'Twelve' will be the next number after 'Three'
So, the next number in the sequence will be 12.
(i think)
There are 54 people at the party.
18 people are wearing red which means that 36 people are not wearing red
54 - 18 = 36
The fraction represents the 36 people at the party that are wearing no red. We can find what percent of the people at the party are not wearing red by turning
into a percent.
can be reduced to
by dividing both the numerator and denominator by the greatest common factor of 36 and 54.
2 ÷ 3 = 0.667
0.667 × 100 = 66.67%
Therefore, 66.67% of the people at the party are not wearing red
54-18 = 36 not wearing red
36 out of 54 = 36/54
36/54 = 0.6666
0.6666 * 100 = 66.67%
Percent wearing red is 66.67%
Volume=(base area)×height
base area=1/2×base×height
=1/2×12×9
=54 in²
Therefore the volume will be:
Volume=54×2=108 in³
2:3= 2/3= 0.6666666= 0.67 rounded
3:7= 3/7= 0.42857= 0.43 rounded
3:6= 3/6= 1/2= 0.5
3:8= 3/8= 0.375
2:5= 2/5= 0.4
3:7= 3/7= 0.42857= 0.43 rounded
2:4= 2/4= 1/2= 0.5
Hope this helps! :)
The reason this has to be is because of the GCF. Since 3 is part of the GCF, and the other monomial has a coefficient of 3, this means the missing monomial must be divisible by 3 as well.
Since x² is part of the GCF, the missing monomial must contain x². However, if it were to contain x³ or anything larger, the GCF would have x with a higher exponent.
The solution region of the inequalities y > 2x - 3 and y < 2x + 4 would be the region between the parallel lines y = 2x - 3 and y = 2x + 4.
What is Linear Inequalities?.
Linear Inequalities are the statements in mathematics where the left and right hand side are separated using inequality symbols like <, >, ≤ and ≥.
We have the system of inequalities given here:
y > 2x - 3 and
y < 2x + 4
To solve this first take the inequalities as equations y = 2x - 3 and y = 2x + 4.
Take y = 2x - 3
When x = 0, then y = -3
When x = 1, then y = -1
When y = 0, then x = 1.5
We get three points here (0, -3), (1, -1) and (1.5, 0).
Draw a line passing through these points.
Substitute (x, y) as (0, 0), then the inequality y > 2x - 3 become 0 > -3, which is true. Therefore solution region is the region containing the origin.
Similarly, take y = 2x + 4.
When x = 0, then y = 4
When x = 1, then y = 6
When y = 0, then x = -2
We get three points here, (0, 4), (1, 6) and (-2, 0).
Substitute (x, y) as (0, 0), then the inequality y < 2x + 4 become 0 < 4, which is true. Therefore solution region is the region containing the origin.
Hence the solution region of these inequalities would be the region lower to the line y = 2x + 4 and the region upper to the line y = 2x - 3.
To learn more about Linear Inequalities, click:
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Second option on e2020
Step-by-step explanation:
Trust mee