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Naddika [18.5K]
3 years ago
8

Ms. Sheppard cuts 1/2 of a piece of construction paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet o

f paper does she used to make flower?
Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:

1/12

Step-by-step explanation:

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Carlos and Maria drove a total of 217 miles in 4.1 hours. Carlos drove the first part of the trip and averaged 52 miles per hour
VMariaS [17]
M = hours driven by Maria

c = hours driven by Carlos

since we know that Carlos was driving at an average of 52 mph, then in 1 hour he drove 52 miles, in 2 hours he drove 2*52 miles in "c" hours he drove c*52 miles or 52c.

Maria on the other hand is faster and does 54 mph, in 1 hour she does 1 * 54 miles, and on 2 hours she does 2 * 54 miles and in "m" hours she does m * 54 miles or 54m.

now, we know the total amount of miles they both drove is 217, so whatever "m" and "c" are we know that 54m + 52c = 217.

we also know it took 4.1 for the whole trip, so m + c = 4.1.

\bf \begin{cases}
m+c=4.1\implies \boxed{c}=4.1-m\\
54m+52c=217\\
-------------\\
54m+52\left( \boxed{4.1-m} \right)=217
\end{cases}
\\\\\\
54m-52m+213.2=217\implies 2m=3.8
\\\\\\
m=\cfrac{3.8}{2}\implies m=1.9

so Maria drove for 1.9 hours.

How many hours did Carlos drive for?  well, c = 4.1 - m.
4 0
3 years ago
6.1.PS-17
elena-14-01-66 [18.8K]
19/25 or 76/100 so it would be 76%
5 0
3 years ago
a 25-foot wire is to be cut so that the longer piece is one foot longer than 5 times the shorter peice . find the length of each
Wittaler [7]

short piece = x

 long piece = 5x +1

x +5x +1 = 25

6x = 24

x = 24/6 = 4

 short piece = 4 feet

long piece = 21 feet

3 0
3 years ago
Read 2 more answers
36 + 42 = 6(6 + 口)<br> what unknown number makes this equation true
NARA [144]

Answer: 42

Step-by-step explanation:

36+42 = 78

6(6) =36+42 (like in the equation) =78

8 0
3 years ago
Which expression is equivalent to - 2/5(x+0.8) + 1/50?
Rudik [331]

Answer:

-0.4x - 0.30 or -\frac{2}{5} - \frac{3}{10}

Step-by-step explanation:

Change all the fractions to decimals.

-2/5 = -0.4 Distribute that over x and 0.8 1/50 = 0.02

you get -0.4x -0.32 + 0.02

Change all the decimals to fractions.

0.8 is 8/10 so -2/5 times 8/10 is -16/50

-2x/5 - 16/50 + 1/50 add or subtract the fractions to get -15/50 Then reduce (÷5)

-2x/5 - 3/10

6 0
3 years ago
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