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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:

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

<u>remove parenthesis</u>

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

<u>all the denominators has a common multiple of 108</u>

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

<u>simplify</u>

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

<u>join the fractions</u>

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

<u>simplify</u>

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

<u>simplify</u>

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

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3 years ago

Help me with this please!!

valina [46]

<h2><u>Given:</u><u>-</u></h2>

Points C = (-7,2) → $\sf{(X_1,Y_1)}$
D = (3,12) → $\sf{(X_2,Y_2)}$

The Midpoint of CD.

<h2><u>Required</u><u> </u><u>Response</u><u>:</u><u>-</u></h2>

Let,

Midpoint of CD be (x,y).

WKT,

$\boxed{\sf{(x,y) = \frac{X_1+X_2}{2},\frac{Y_1+Y_2}{2}}}$

$→\;{\sf{\frac{-7+3}{2},\frac{2+12}{2}}}$

$→\;{\sf{\frac{-4}{2},\frac{14}{2}}}$

$→\;{\sf{-2,7}}$

The Midpoint of CD ◕➜ $\Large{\red{\mathfrak{(-2,7)}}}$

Let,

The centre be O

Radius = CO & OD

Here, C = (-7,2) → $\sf{(X_1,Y_1)}$

O = (-2,7) → $\sf{(X_2,Y_2)}$

$\boxed{\sf{Distance = \sqrt{(X_2-X_1)²+(Y_2-Y_1)²}}}$

$→\;{\sf{\sqrt{(-2+7)²+(7-2)²}}}$

$→\;{\sf{\sqrt{5²+5²}}}$

$→\;{\sf{\sqrt{25+25}}}$

$→\;{\sf{\sqrt{50}}}$

$→\;{\sf{5√2 (or) 7.07}}$

Radius of Circle ◕➜ $\Large{\red{\mathfrak{7.07}}}$

<h2>Option D.</h2>

Hope It Helps You ✌️

3 0

3 years ago

If Jaime is riding at 14 miles per hour and Cori is riding at 0.40 km per minute, how far will each of them bike in two hours? 1

sladkih [1.3K]

Answer:

<h2> Jaime will bike 28 miles and Cori will bike 29.82</h2>

Step-by-step explanation:

In this exercise we are dealing with unit conversion, that is we are expected to convert from one unit to another.

Jaime's speed= 14mph

Cori's speed= 0.4km/min

now since the options for the answer is in miles, we have to convert Coris's speed for Km per min to mile per hour

we have

0.4km/min = 14.9129 mph

Applying the equation

d = ut

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d= 14*2= 28 mph

for Cori

d= 14.9129 *2= 29.8258 mph

4 0

3 years ago

Simplify: -7/9-(-5/12)+1/3. ​

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