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3 years ago

Which of the following equations is equivalent to 2/3 x - 1/2 y = 6? 2x - y = 6 2x - y = 36 4x - 3y = 36

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

Answer: THE LAST OPTION

Step-by-step explanation:

1. You have the following equation given in the problem:

$\frac{2}{3}x-\frac{1}{2}y=6$

2. If you multiply both sides of the equation shown above by 6, you obtain the following:

$\frac{2*6}{3}x-\frac{1*6}{2}y=6*6$

$\frac{12}{3}x-\frac{6}{2}y=36$

3. When you simplify the equation, you obtain the following equivalent equation:

$4x-3y=36$

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10 1/2 divided by 3/8

gladu [14]

(10 1/2)/(3/8)
= (21/2)/(3/8) Convert to improper
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3 years ago

A clothing store is raising the price of all it’s sweaters by three dollars right now expression that could be used to find the

S_A_V [24]

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3 years ago

Two trains leave stations 306 miles apart at the same time traveling toward each other one is traveling at 90 mph the other at 8

Sergeu [11.5K]

Answer:

They will meet in 1.8 hours.

Step-by-step explanation:

Given that, distance between trains = 306 miles

Let they take time $'t'$ to meet each other.

Speed of first train = 90 mph

Speed of second train = 80 mph

Let distance traveled by first train = $D_1$ miles

Formula for distance:

$Distance = Speed \times Time$

Distance traveled by first train, $D_1 = 90t$

Let distance traveled by first train = $D_2$ miles

Formula for distance:

$Distance = Speed \times Time$

Distance traveled by first train, $D_2 = 80t$

Total distance traveled is 306 miles.

i.e.

$D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}$

They will meet in 1.8 hours.

3 0

3 years ago

You and your friend mix water and cirtic acid. You add 3 cups of citrtic acid for every 16 cups of water Your friend adds 2 cups

Vlad [161]

Answer:

A's mixture is more acidic.

Step-by-step explanation:

Given:

Two friends mix water and citric acid.

One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.

Now, we have to find that whose mixture is more acidic means:-

Solution:

A add 3 cups of citric acid for every 16 cups of water, the ratio = $\frac{3}{16}$

B adds 2 cups of citric acid for every 12 cups of water = $\frac{2}{12}$

Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.

LCM of 16 and 12:- 48

16 - 16, 32, 48, 64, 80, 96....

12 - 12, 24, 36, 48, 60, 72.......

For friend A - $\frac{3\times3}{16\times3} =\frac{9}{48}$

For friend B - $\frac{2\times4}{12\times4} =\frac{8}{48}$

We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and hence friend A's mixture is more acidic.

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3 years ago

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vovikov84 [41]

Answer:

Step-by-step explanation:

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3 years ago

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