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max2010maxim [7]
3 years ago
5

Question 5

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

The missing value is 2

Step-by-step explanation:

A direct variation satisfies the equation y=kx.

Since the point (-18, 12) lies on this line, it must satisfy this equation.

\implies 12=-18k

k=-\frac{12}{18} =-\frac{2}{3}

Hence the equation of this line is y=-\frac{2}{3}x

Now we substitute x=-3 to find y.

y=-\frac{2}{3}*-3=2

Therefore the missing value is 2

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4/5 divided by 1/3 plus 1/5 minus 3/5
r-ruslan [8.4K]

Answer:

  \frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}=-12

Step-by-step explanation:

Considering the expression

\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}

Solution Steps:

\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}

as

\mathrm{Combine\:the\:fractions\:}\frac{1}{5}-\frac{3}{5}:\quad -\frac{2}{5}

so

=\frac{\frac{4}{5}}{\frac{1}{3}-\frac{2}{5}}    

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}

=\frac{4}{5\left(\frac{1}{3}-\frac{2}{5}\right)}

join  \frac{1}{3}-\frac{2}{5}:\quad -\frac{1}{15}

so

=\frac{4}{5\left(-\frac{1}{15}\right)}

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

=\frac{4}{-5\cdot \frac{1}{15}}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}

=-\frac{4}{5\cdot \frac{1}{15}}

\mathrm{Multiply\:}5\cdot \frac{1}{15}\::\quad \frac{1}{3}

so

=-\frac{4}{\frac{1}{3}}

\mathrm{Simplify}\:\frac{4}{\frac{1}{3}}:\quad \frac{12}{1}

so

=-\frac{12}{1}

\mathrm{Apply\:rule}\:\frac{a}{1}=a

=-12

Therefore

                  \frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}=-12

4 0
3 years ago
What is 67 divided by 6 and what is the remainder
ahrayia [7]
6 x 11= 66
67 - 66 = 1

67/6 = 11 
remainder= 1
7 0
3 years ago
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kirza4 [7]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

7x

Step 02:

We must analyze the equation to find the solution.

x = 29:

7 (29) = 203

The answer is:

203

7 0
1 year ago
D + 9 = 35 6th grade
Ghella [55]
26 is the answer, you just subtract 9 from 35 and you get 26
7 0
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What is the process to correctly divide 58.19 by 2.74 without a calculator?
Alja [10]
Move the decimal point to the right twice to get rid of decimal

3819/274

solve

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hope this helps
7 0
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