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erastova [34]
3 years ago
14

3w + 2 = 7w Please help

Mathematics
2 answers:
mash [69]3 years ago
8 0
3w +2 =7w
-3w       -3w
2=4w
Divide each side by 4
1/2=w

Check your answer:
3 (1/2) + 2 = 7 (1/2)
(3/2) + (4/2) = (7/2)
(7/2) = (7/2)

Hope this helps.
tigry1 [53]3 years ago
7 0
3w + 2 = 7w 

3w + 2 = 7w:w  |Solve \ for \ w| 

2=7w-3w   |Subtract \ 3w \ from \ both \ sides|


2=4w
 
 

\dfrac{2}{4}=w   |Divide \ both \ sides \ by \ 4|

w= \dfrac{1}{2}

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Please help
Harrizon [31]

Answer:

(-1/2, 3/4)

Step-by-step explanation:

Let's use the elimination by adding or subtracting method.  Note that we have 8y in the first equation, and that we could obtain -8y in the second equation by multiplying the second equation by 2:

2(24x - 4y = -15) => 48x - 8y = -30

Now combine this result (this equation) with the first equation:

  2x + 8y = 5

+48x   -8y = -30

---------------------

 50x    =     - 25

Dividing both sides by 50, to isolate x, we get

x = -25/50 = -1/2.

Now substitute -1/2 for x in the first equation and solve the resulting equation for y:

  2x + 8y = 5

2(-1/2) + 8y = 5, or -1 + 8y = 5, or 8y = 6 (after having added 1 to both sides)

Dividing both sides of 8y = 6 by 8 leads to determining the value of y:

y = 6/8 = 3/4

The solution is (-1/2, 3/4).

3 0
3 years ago
If x = 4y + 21y and y = 14 + 5, what is 3x × 7? No need to show your work.
podryga [215]

y = 19

x = 4(19) + 21(19) = 76 + 399 = 475

3(475) × 7

1425 × 7

9975 <--- answer.

Hope this helped!

Nate

7 0
3 years ago
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which of the following is the correct set of hypotheses to test if the researchers are interested in evaluating whether there is
e-lub [12.9K]

Answer:

Step-by-step explanation:

check the attached document for answer

6 0
3 years ago
Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'
monitta

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) <em>Ali, Carrie and Bryan received a sum of money. </em>

a - Ali's money.

b - Bryan's money.

c - Carrie's money.

(ii) <em>Bryan's money was </em>\frac{3}{5}<em> of  Ali's money</em>.

b = \frac{3}{5}\cdot a (1)

(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.

\frac{a}{c} = 4 (2)

(iv) <em>Ali had $ 160 more than Bryan</em>.

a = b + 160 (3)

After some algebraic handling, we have the following system of linear equations:

3\cdot a - 5 \cdot b = 0 (1b)

a - 4\cdot c = 0 (2b)

a - b = 160 (3b)

The solution of the system is: a = 400, b = 240, c = 100

The sum of money is:

s = a + b + c

s = 740

The sum of money received by Ali, Carrie and Bryan is $ 740.

4 0
3 years ago
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