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fenix001 [56]
3 years ago
5

5. Solve each of the following equations for the value of x. Show your work.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

<h3>1.answer</h3>

3

+

7

=

4

3

3x+7=43

3x+7=43

3

+

7

−

7

=

4

3

−

7

3x+7{\color{#c92786}{-7}}=43{\color{#c92786}{-7}}

3x+7−7=43−7

2

Simplify

Subtract the numbers

Subtract the numbers

3

=

3

6

3x=36

3x=36

3

Divide both sides of the equation by the same term

3

=

3

6

3x=36

3x=36

3

3

=

3

6

3

\frac{3x}{{\color{#c92786}{3}}}=\frac{36}{{\color{#c92786}{3}}}

33x=336

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

2

x=12

x=12

Solution

=

12

<h2>2.answer</h2>

हिंदी में खोजें

4x 16 40

How to solve your problem

4

−

1

6

=

4

0

4x-16=40

4x−16=40

Solve

1

Add

1

6

16

16

to both sides of the equation

4

−

1

6

=

4

0

4x-16=40

4x−16=40

4

−

1

6

+

1

6

=

4

0

+

1

6

4x-16+{\color{#c92786}{16}}=40+{\color{#c92786}{16}}

4x−16+16=40+16

2

Simplify

Add the numbers

Add the numbers

4

=

4

0

+

1

6

4x={\color{#c92786}{40}}+{\color{#c92786}{16}}

4x=40+16

4

=

5

6

4x={\color{#c92786}{56}}

4x=56

4

=

5

6

4x=56

4x=56

3

Divide both sides of the equation by the same term

4

=

5

6

4x=56

4x=56

4

4

=

5

6

4

\frac{4x}{{\color{#c92786}{4}}}=\frac{56}{{\color{#c92786}{4}}}

44x=456

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

4

solution =14

<h2>3 .answer</h2>

Solution

=

58

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3 years ago
Read 2 more answers
Five widgets and three gadgets cost $109. 90.
erma4kov [3.2K]

Answer:

one gadget costs $15.80

Step-by-step explanation:

Let w = cost of one widget

Let g = cost of one gadget

Given:

  • Five widgets and three gadgets cost $109. 90

⇒ 5w + 3g = 109.9

Given:

  • One widget and four gadgets cost $75. 70

⇒ w + 4g = 75.7

Rewrite  w + 4g = 75.7  to make w the subject:

⇒ w = 75.7 - 4g

Substitute into  5w + 3g = 109.9  and solve for g:

⇒ 5(75.7 - 4g) + 3g = 109.9

⇒ 378.5 - 20g + 3g = 109.9

⇒ 378.5 - 109.9 = 20g - 3g

⇒ 268.6 = 17g

⇒ g = 15.8

Therefore, one gadget costs $15.80

To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:

⇒ w = 75.7 - 4(15.8)

⇒ w = 75.7 - 63.2

⇒ w = 12.5

Therefore, one widget costs $12.50

5 0
2 years ago
@ranga @Becki . A new car has a sticker price of $22,450, while the invoice price paid was $19,450. What is the percentage marku
densk [106]
To answer the problem given above, divide the difference of the prices by the original price and multiply the answer by 100%. This is,
                           ((22450 - 19450) / 19450) x 100% = 15.42%
Therefore, the percentage markup of the new car is approximately 15.42%.
7 0
3 years ago
Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many scre
4vir4ik [10]

Answer:

56 screws

Step-by-step explanation:

So, first we can find how many screws he needs.

So,  if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)

then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws

3 0
3 years ago
What is the slope of this line?
Talja [164]

Answer:

-1

Step-by-step explanation:

Slope= rise/run

Since the line is decreasing, it will be negative.

6 0
3 years ago
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