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stira [4]
2 years ago
9

3×-5=16 and 3×=21

Mathematics
2 answers:
larisa [96]2 years ago
8 0

Step-by-step explanation:

because we can also find out the value of x in second equation like this

3x=21

x=21/3

x=7

Butoxors [25]2 years ago
8 0

Answer:

We conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Step-by-step explanation:

Given the first equation

  • 3x-5 = 16

solving the equation

3x-5 = 16

adding 5 to both sides

3x-5+5 = 16+5

3x = 21        ∵ 3x = 21 is the 2nd equation      

divide bothe sides by 3

3x/3 = 21/3

x = 7

Please notice that when simplifying 3x-5 = 16, the moment we reach 3x=21, we can determine that it represents the same equation.

In other words, whatever the value of x we will get, it will satisfy both equations.

Therefore, we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Verification:

Consider the 2nd equation

3x = 21

Put x = 7

3(7) = 21

21 = 21

Thus, it has been validated that when we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

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Maddox wants to go back to college full-time. His current employer has agreed to reduce his hours from 40 hours to 25 hours whil
4vir4ik [10]

Answer:

Best fit for his new situation is modified budget A

Step-by-step explanation:

lets first calculate Wages which will be earned by Maddox after reduction of working hours .

from his current situation we can say that ,

for working of 40 hours ,  Maddox monthly income wages = $1760

so  for working of 1 hour , Maddox monthly income wages = $1760÷40=$44

hence for working of 25 hour , Maddox monthly income wages will be $44 × 25 = $1100.

So New wages after reduction of working hours will be $1100. but if you see , in budget B and C , Income wages is considered as $1600 which will not be case after reduction of working hours to 25 . hence Maddox cannot go for Modified Budget B and Modified Budget C.

So he needs to decide between Modified Budget A and Modified Budget D.

Now lets concentrate upon Net income for Modified Budget A and Modified Budget D. Net income for Modified Budget D is in negative that is -$515. that means he need to earn $515 more to meet Budget D , but income wages are fixed that is $1100.

At last lets see Net income of modified budget A. he is able to save $30 , hence we can say that best fit for his new situation is modified budget A


8 0
3 years ago
Read 2 more answers
Rose blew h bubbles in two hours. which algebraic expression shows how many bubbles she blew in one minute?
Inessa [10]
\frac{hbubbles}{2hr} =   \frac{hbubbles}{120min} \frac{/120}{/120} =  \frac{hbubbles/120}{1min}

She blew h/120 bubbles in 1 minute.
8 0
3 years ago
Can someone help me with this?
Mandarinka [93]

Answer:

Step-by-step explanation:

Area of rectangle = length * width

                             = (x + 4) (5x)

                             = x *5x + 4 *5x

                            = 5x² + 20x

Perimeter of rectangle = 2*(length + width)

                                     = 2*(x + 4 + 5x)

                                     = 2*(6x + 4)

                                   = 2*6x + 2 *4

                                     = 12x + 8

4 0
3 years ago
Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)
VMariaS [17]

ANSWER

(3x  - 2)(x + 4)

EXPLANATION

The given quadratic trinomial is

3 {x}^{2}  + 10x - 8

Comparing to the general quadratic trinomial:

a{x}^{2}  + bx  + c

We have a=1, b=10 and c=-8

ac =  3  \times  - 8 = - 24

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

3 {x}^{2}   + 12x   - 2x- 8

Factor;

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

Factor further;

(3x  - 2)(x + 4)

The last option is correct.

4 0
3 years ago
Problem #2: A piece of wood that is 15 feet long is out in half. Each half is then cut into twelve
garri49 [273]

Answer: Each peice of wood is equal to 0.625

Step-by-step explanation:

15/2 = 7.5

7.5/12 = 0.625

4 0
3 years ago
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