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Marrrta [24]
3 years ago
9

Write the improper fraction 31/20 as a mixed number?

Mathematics
1 answer:
sveta [45]3 years ago
7 0
\dfrac{31}{20}=\dfrac{20+11}{20}=\dfrac{20}{20}+\dfrac{11}{20}=1\dfrac{11}{20}
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The width of a rectangle is 2 meters less than its length, and the perimeter is 32 meters. Find the length and width of the rect
cupoosta [38]
The perimeter is equal to 2(width) + 2(length). let's call the width w and the length L.

so 32 = 2w + 2L
the width is given as 2 meters less than the length, so w = L - 2

32 = 2(L - 2) + 2L
32 = 2L - 4 + 2L
32 = 4L - 4
36 = 4L
9 = L

so our length is 9 meters.

w = L - 2
w = 9 - 2
w = 7

so our width is 7 meters.
3 0
4 years ago
Select all ratios equivalent to 30:6
Korolek [52]

Answer:

60 : 12

90 : 18

120 : 24

150 : 30

3 0
3 years ago
What is the quotient 2y^-6y-20/4y+12 ÷ y+5y+6/3y^2+28y+27​
malfutka [58]

Answer with explanation:

 \rightarrow \frac{\frac{2y^2-6 y-20}{4 y+12}}{\frac{y^2+5 y+6}{3 y^2+28 y+27}}\\\\\rightarrow \frac{\frac{y^2-3y-10}{2 y+6}}{\frac{(y+2)(y+3)}{3 y^2+28 y+27}}\\\\\rightarrow \frac{\frac{(y-5)(y+2)}{2 (y+3)}}{\frac{(y+2)(y+3)}{3 y^2+28 y+27}}\\\\\rightarrow \frac{(y-5)(y+2)}{2 (y+3)}} \times {\frac{3 y^2+28 y+27}{(y+2)(y+3)}}\\\\ \rightarrow\frac{(y-5)\times(3 y^2+28 y+27)}{2 (y+3)^2}}

→y²+5y+6

=y²+3 y+2 y+6

=y×(y+3)+2×(y+3)

=(y+2)(y+3)

→y² -3 y-10

=y² -5 y+2 y -10

=y×(y-5)+2×(y-5)

=(y+2)(y-5)

6 0
3 years ago
Read 2 more answers
Help please!<br> -x - (-15) + -3.5x + 15
mrs_skeptik [129]
It would be 30 + 4.5x
7 0
3 years ago
Read 2 more answers
Simplify the expression. Show each step. <br><br><br> –5 × 1 × 11 × 4.
netineya [11]
Simplify the following:
-5×1×11×4

-5×1 = -5:
-5×11×4

-5×11 = -55:
-55×4

-55×4 = -220:

Answer:  -220
7 0
3 years ago
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