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3 years ago

-4/5+7/12 simplify the expression

Mathematics

1 answer:

miss Akunina [59]3 years ago

5 0

Answer:

$\frac{-13}{60}$

Step-by-step explanation:

So lets get the denominators the same:

$\frac{-4}{5} +\frac{7}{12}$

= $\frac{-48}{60} +\frac{35}{60}$

= $\frac{-13}{60}$

Hoped I helped, have a nice day!

And please help: brainly.com/question/22129776

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Alisiya [41]

Answer:

( get a calculator )

Step-by-step explanation:

1 step : get a calculator

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2 years ago

A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh

andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

2y = 140

y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

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3 years ago

Simplify expressions

charle [14.2K]

<h3>a) $\frac{2}{5} \div ( - \frac{3}{4} )$ </h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2> $- \frac{2}{5} \div \frac{3}{4}$ </h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

<h3>Hence, Quotient = $- \frac{8}{15}$ </h3>

<h3>b) $0.4 \div ( - 0.75)$ </h3><h3>■Convert the decimals into a fractions</h3>

<h2> $\frac{2}{5} \div ( - \frac{3}{4} )$ </h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2> $- \frac{2}{5} \div \frac{3}{4}$ </h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

<h2> $- \frac{8}{15}$ </h2><h3>Hence, Quotient is $- \frac{8}{15}$ </h3>

<h3>c) $- \frac{2}{5} \div \frac{3}{4}$ </h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

<h2> $- \frac{8}{15}$ </h2><h3>Hence, The Quotient is $- \frac{8}{15}$ </h3>

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2 years ago

A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to boys?

marta [7]

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-2.3 in simplest form

Vaselesa [24]

Answer:

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Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is

number to the right of the decimal point, place the decimal number over

(

)

. Next, add the whole number to the left of the decimal.

−

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3 years ago

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