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Grace [21]
3 years ago
5

7 times as much as the sum of 1/3 and 4/5

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0
First we need to make the fractions "compatible" for adding them easily, we can do that by equating their denominators using the common minimum multiple of their denominators 3 and 5 which is 15, so we have to multiply and divide to not modify them for a correct number, lets show that up:
1/3 = (5/5)(1/3) = 5*1/5*3 = 5/15, therefore: 1/3 = 5/15
4/5 = (3/3)(4/5) = 3*4/3*5 = 12/15, therefore 4/5 = 12/15
now we do the sum first:
<span>1/3 + 4/5
</span>= 5/15 + <span>12/15
= 17/15
and finally we multiply by 7
7*(</span><span>17/15</span>) = 119/15
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There are 31 coins of dimes and quarters. If the number of dimes is 5 more than the number of quarters, how many quarters are th
emmasim [6.3K]

Answer:

<u>13 Quarters and 18 Dimes</u>

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes(D) and Quarters(Q).  Give x and y a break, and make it easier to remember which is which.

D + Q = 31

D = Q + 5

Therefore:

D + Q = 31

(Q+5) + Q = 31

2Q + 5 = 31

2Q = 26

<u>Q = 13</u>

<u>Then D = (13+5) or 18</u>

================

Check:

D + Q = 31 ?

18 + 13 = 31  <u>YES</u>

----------------------

D = Q + 5 ?

18 = 13 + 5   <u>YES</u>

5 0
2 years ago
the length of a cube is x centimeters. If x is an integer why can't the volume of the cube equal 15 cm cubed
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6 0
2 years ago
Please help! really needing help solve the problem
guapka [62]

Answer:

7

Step-by-step explanation:

By Basic proportionality theorem:

\frac{10}{8}  =  \frac{3x - 6}{12}  \\  \\  \frac{10 \times 12}{8}  = 3x - 6 \\  \\  \frac{120}{8}  = 3x - 6 \\  \\ 15 = 3x - 6 \\ 15 + 6 = 3x \\ 21 = 3x \\  \frac{21}{3}  = x \\ 7 = x \\  \\  \huge \red { \boxed{x = 7}}

7 0
3 years ago
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TiliK225 [7]
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7 0
3 years ago
Calculate the value of x.
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Answer:

x = 17deg

Step-by-step explanation:

Let angle y be the unknown angle IN THE TRIANGLE.

Angle y = 180 - 90 - 73

= 17deg

Angle x = Angle y (Alternate angles on 2 parallel lines)

Angle x = 17 deg

8 0
2 years ago
Read 2 more answers
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