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FrozenT [24]
2 years ago
9

Which equation is equivalent to 3(2x - 5) = 4 (x + 3) ?​

Mathematics
1 answer:
sertanlavr [38]2 years ago
6 0

Step-by-step explanation:

3(2x - 5) = 4(x+3)

Distribute. Multiply 3 by 2x so the product keeps the variable, multiply 3 by 5 and keep the subtraction symbol. Multiply 4 by x so it would be 4x, multiply 4 by 3

(6x-5=4x+12) Answer

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The boundary line on the graph represents the equation
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x=2(3-y)/5

Step-by-step explanation:

5x=6-2y

x=6-2y/5

8 0
3 years ago
Gwendolyn is asked to solve the equation -43 – 3) = 20. She sh
choli [55]

Answer:

-4x + 12 = 20 is incorrect. she added 12 to 20 instead of subtracting 12 from both sides.

Step-by-step explanation:

It should have been, write problem

-4(x - 3) = 20

Use distributive property.

-4x + 12 = 20

subtract 12 from each side

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divide each side by -4

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4 0
3 years ago
1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the
ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

v_1 = 60\ mph

Sheyna drives back from the lake with average speed of 36 mph

v_2 = 36\ mph

It took 2 hours less time to get there than it did to get back.

Let t_1 be the time taken to drive to lake.

Let t_2 be the time taken to drive back from lake.

t_2-t_1 = 2 hrs ..... (1)

To find:

Total time taken = ?

t_1+t_2 = ?

Solution:

Let D be the distance to lake.

Formula for time is given as:

Time =\dfrac{Distance}{Speed }

t_1 = \dfrac{D}{60}\ hrs

t_2 = \dfrac{D}{36}\ hrs

Putting in equation (1):

\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles

So,

t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs

t_2 = \dfrac{180}{36}\ hrs = 5\ hrs

So, the answer is:

t_1+t_2 = \bold{8\ hrs}

8 0
3 years ago
$4 is what percent of $50? Round to the nearest tenth if necessary?
Assoli18 [71]

Answer

8 %( When we round off to the neaerest tenths we get 10%)

Step-by-step explanation

4/50*100

=4*2

=8%

6 0
3 years ago
The buyer of a car pays Php 169,000 cash and Php 12, 000 every month for 5 years. If money is 10% compounded monthly, how much i
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

3 0
3 years ago
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