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2 years ago

Simplify: -7/9-(-5/12)+1/3.

Mathematics

2 answers:

alexandr1967 [171]2 years ago

7 0

Step-by-step explanation:

please mark me as brainlest

DENIUS [597]2 years ago

5 0

Answer:

$\sf -\dfrac{1}{36}$

Explanation:

$\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}$

remove parenthesis

$\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}$

all the denominators has a common multiple of 108

$\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}$

simplify

$\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}$

join the fractions

$\rightarrow \sf \dfrac{-84+45+36}{108}$

simplify

$\rightarrow \sf \dfrac{-3}{108}$

simplify

$\rightarrow \sf -\dfrac{1}{108}$

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Counted a total of 40 white cars and yellow cars there were 9 times as many as white cars as yellow cars. how many white cars di

Law Incorporation [45]

Let W = number of white cars, and Y = number of yellow cars.
There were 9 times as many white cars as yellow cars. This means that the number of white cars was 9 times more than the number of yellow cars. This can be translated by the expression:
9Y = W
The person counted 40 cars in total:
W + Y = 40

So we get the system:
$\left \{ {{W+Y=40} \atop {9Y=W}} \right.$

In the first equation, we multiply by 9:
9W + 9Y = 360
In the second equation:
9Y= W
W-9Y = 0

Then we add the first with the second equation:
9W + 9Y + W - 9Y = 360
10 W = 360
W = 36

So He counted 36 white cars.

Hope this Helps! :)

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3 years ago

TCompute the total and annual returns on each of the following investments. Round to one decimal place. Twenty years after pur

lara31 [8.8K]

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2 years ago

The inequality below represents h, the number of hours Ellie need to work this week to earn at least $360 by the end of the mont

Gnom [1K]

Answer:

The answer to your question is 10 hours.

Step-by-step explanation:

Inequality 12h + 240 > 360

Solve the inequality as if it was an equation

12h > 360 - 240

12h > 120

h > 120 / 12

h = 10 hours

Let's evaluate some number of hours

If h = 3 12(3) + 240 > 360

36 + 240 > 360

276 > 360 Incorrect, she needs to work more

than 3 hours

If h = 5 12(5) + 240 > 360

60 + 240 > 360

300 > 360 Incorrect, she needs to work more

than 5 hours

If h = 7 12(7) + 240 > 360

84 + 240 > 360

324 > 360 Incorrect she needs to work more

than 7 hours

If h = 11 12(11) + 240 > 360

132 + 240 > 360

372 > 360 Correct, she needs to work at least

10 hours.

7 0

2 years ago

Solve 3x to the second power -2x-8=0 using an algebraic method

MatroZZZ [7]

Answer:

$x=2\textrm{ or } x=-\frac{4}{3}$

Step-by-step explanation:

Given:

The equation is given as:

$3x^{2}-2x-8=0\\3x^{2}-6x+4x-8=0\\3x(x-2)+4(x-2)=0\\(x-2)(3x+4)=0\\\\x-2=0\textrm{ or }3x+4=0\\x-2+2=0+2 \textrm{ or }3x+4-4=0-4\\x=2\textrm{ or }3x=-4\\x=2\textrm{ or}\\x=-\frac{4}{3}$