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3 years ago

Variable y varies directly with variable x, and y = 5 when x = 8.

Mathematics

2 answers:

Keith_Richards [23]3 years ago

7 0

8 _ _ _ _ _ 5
x _ _ _ _ _ 15

8 / x = 5 / 15 ;
x = ( 8 × 15 ) / 5 ;
x = 120 / 5 ;
x = 24 ;

qaws [65]3 years ago

4 0

Y = kx

Plug in what we know:

5 = k(8)

5 = 8k

Divide 8 to both sides:

k = 0.625

Plug this back into the equation along with y = 15:

y = kx

15 = 0.625x

Divide 0.625 to both sides:

x = 24

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Find two mixed numbers so that the sum is 15 3/10 and the difference is 8 5/10

Juliette [100K]

11 9/10 and 3 2/5

$\left \{ {{ 11\frac{9}{10}+3\frac{2}{5}=15\frac{3}{10}} \atop { 11\frac{9}{10}-3\frac{2}{5}=8\frac{5}{10}}} \right.$

To solve for this, you can create a series of two equations
$\left \{ {{y+x=15 \frac{3}{10} } \atop {y-x= 8\frac{5}{10} }} \right.$

After that, you solve one of the equations for x and plug it into the other equation.
$\left \{ {{x=15 \frac{3}{10}-y } \atop {y-x= 8\frac{5}{10} }} \right.$

${2y-15 \frac{3}{10}= 8\frac{5}{10}$

Then, solve for variable y
${2y=23 \frac{8}{10}$
${y=11\frac{9}{10}$

Then, you plug in this value for y into one of the original equations

$11\frac{9}{10}+x=15 \frac{3}{10}$

$x=15 \frac{3}{10} -11\frac{9}{10}$

$x=3 \frac{2}{5}$

8 0

3 years ago

Show that the numbers below are rational and write each as a fraction:

ikadub [295]

Answer:

a) The number is:

0.73652913

There are 8 digits after the decimal point, then we need to multiply and divide by: 100,000,000 (8 zeros at the right of the 1)

0.73652913 = 0.73652913*(100,000,000)/(100,000,000) = 73,652,913/100,000,000

So we wrote this as a fraction of two integers.

b) The number is:

0.746746...

Where the periodic part is 746.

the periodic part has 3 digits, then we can do:

0.746746...*1000 = 746.746746....

Now we can subtract the number itself to get:

746.746746... - 0.746746... = 746

And what we did is:

N*1000 - N = N*999

Then to transform the number into a quotient of integers, we can multiply and divide by 999.

0.746746... = 0.746746...*(999)/(999) = 746/999

That is a quotient of two integers, so 0.746746... is a rational number.

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just olya [345]

It would take them 2 hours to paint the whole car

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