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exis [7]
2 years ago
7

The sum of one third of a number and five is equal to six less than the number

Mathematics
1 answer:
abruzzese [7]2 years ago
4 0

Call the number : x

(1/3)x + 5 = x-6

=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6

=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.

Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2

33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)

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Answer:  For every 1 can of red paint, the number of yellow paints used by the painter is \frac{6}{7} and

There are approximately 29 cans of yellow paints for 34 cans of red paints.

Step-by-step explanation:

Since we have given that

Number of cans of red paint = 14

Number of cans of yellow paint = 12

According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;

Since the ratio of red paint to yellow paint is given by

14:12\\\\7:6\\\\1:\frac{6}{7}

So, for every 1 can of red paint, the number of yellow paints used by the painter is \frac{6}{7}

Similarly,

If Number of can of red paint is used = 34

So, Number of cans of yellow paint will be

\frac{6}{7}\times 34\\\\=\frac{6\times 34}{7}\\\\=29\ approx.

Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.

3 0
3 years ago
Explain the step in subtracting the polynomials below. <br><br> (7x3− x − 5) − (3x3+ 5x -1).
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Step-by-step explanation:

8 0
3 years ago
Find the 12th term of the geometric sequence 3,6,12,24,..
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Anni [7]

Answer:

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Step-by-step explanation:

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90% confidence interval

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7 0
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ABCD FECG
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Step-by-step explanation:

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