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2 years ago

I need help finding the answer.......

Mathematics

1 answer:

Vanyuwa [196]2 years ago

4 0

Gabriel and Jorge have a right triangle

Makayla has a equilateral

Emma has an obtuse

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Sove the equation and verify

Nostrana [21]

Let's break the equation in several step to make things more clear: first of all, the numerator of the left hand side simplifies to

$\dfrac{2x}{3}-\dfrac{1}{2} = \dfrac{4x-3}{6}$

Similarly, the denominator becomes

$\dfrac{3x}{4}-\dfrac{1}{2} = \dfrac{3x-2}{4}$

Dividing by a fraction means to multiply by the inverse of that fraction:

$\dfrac{\frac{a}{b}}{\frac{c}{d}} = \dfrac{a}{b}\cdot\dfrac{d}{c}$

So, in your case, we have

$\dfrac{\frac{2x}{3}-\frac{1}{2}}{\frac{3x}{4}-\frac{1}{2}} = \dfrac{\frac{4x-3}{6}}{\frac{3x-2}{4}} = \dfrac{4x-3}{6}\cdot \dfrac{4}{3x-2} = \dfrac{2(4x-3)}{3(3x-2)} = \dfrac{8x-6}{9x-6}$

So, the equation has become

$\dfrac{8x-6}{9x-6} = \dfrac{4}{3}$

Multiply both sides by 3(9x-6):

$3(8x-6) = 4(9x-6) \iff 24x-18 = 36x-24$

Subtract 24x from both sides, and add 18 to both sides:

$36x-24x = 24-18 \iff 12x=6 \iff x = \dfrac{1}{2}$

8 0

2 years ago

How is subtracting with fraction strips different from addition fraction strips

S_A_V [24]

Dear ZaireMcfalane33, if you subtract with fraction strips the answer will be smaller, but if you add with fraction strips the answer will be bigger.

3 0

2 years ago

If a cotton candy vendor has 16 blue cones which is 50% of the total number of cones, then how many TOTAL cones does he have i n

Tatiana [17]

Answer:

He has a total of 32 cones

Step-by-step explanation:

5 0

1 year ago

1) $400 interest is earned on a principal of $2,000 at a simple interest rate of 5%

Kitty [74]

Answer:

4 years

Step-by-step explanation:

I = $ 400

R = 5%

P =$ 2000

I = Prt

400 = 2000 * $\frac{5}{100}$ * t

400 = 20 * 5 * t

400 = 100 t

$\frac{400}{100}=t$

t = 4 years

3 0

2 years ago

While Edward was visiting his sister in Westminster, he bought a toothbrush that was marked down 80% from an original price of $

Andre45 [30]

Answer:

$1.78

Step-by-step explanation:

5 0

2 years ago