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NeX [460]
3 years ago
9

Simplify and reduce to the lowest terms.

itle=" \frac{-7}{12} " alt=" \frac{-7}{12} " align="absmiddle" class="latex-formula"> ÷ \frac{2}{3} =
Mathematics
1 answer:
Paladinen [302]3 years ago
6 0
When you divide two fractions, you're actually multiplying one of them by the reciprocal of the other. First, find the reciprocal of the second fraction by flipping it upside down. Then, multiply it by the first fraction. (Numerator x numerator and denominator x denominator)

\frac{-7}{12} ÷ \frac{2}{3}   Replace the second fraction with it's reciprocal
\frac{-7}{12} x \frac{3}{2}   Multiply (-7 x 3 and 12 x 2)
\frac{-21}{24} Both 21 and 24 are divisible by three, so divide them by 3
\frac{-7}{8}
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Inequality word problem<br><br> 7 less than -2 times a number X is greater than or equal to 41
Lady bird [3.3K]
Less than means minus so 7 less than means -7

-2 times a number x means -2 times x or -2x

is greater than or equal to means <u>></u>

41=41


so
-7+-2x<u>></u>41
-2x-7<u>></u>41
add 7 to both sides
-2x<u>></u>48
divide both sides by -2
remember to flip sign since divided by negative
x<u><</u>-96 
5 0
3 years ago
Solve for x. 5+(x-2)=-8
Arte-miy333 [17]

Answer:

x = -11

Step-by-step explanation:

First, get rid of parentheses:

5 + x - 2 = -8

Then, simplify:

3 + x = -8

Finally, subtract 3 on both sides:

x = -11

Hope this helps ^^

7 0
4 years ago
Read 2 more answers
Help please I need to answer this question
djverab [1.8K]

Answer:

D

Step-by-step explanation:

first find the perimeter of both triangles

Original perimeter: 72 in

scaled perimeter: 24 in

A is wrong since the scaled perimeter is actually smaller.

B is wrong because its not 6 times smaller

C is wrong since it's not 1/9 of the original

D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)

6 0
3 years ago
I need help with algebra
aalyn [17]
To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b

When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.

Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3



7 0
4 years ago
. Find the area of a trapezoid with b1 = 13.8 cm, b2 = 16.8 cm, and h = 4 cm.
Ilia_Sergeevich [38]

Answer:

61.2 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h (b_{1} + b_{2} )

Substitute in given values

A = \frac{1}{2} × 4 × (13.8 + 16.8 ) = 2 × 30.6 = 61.2 cm²

7 0
4 years ago
Read 2 more answers
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