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ludmilkaskok [199]
3 years ago
7

Which of the following equations has infinitely many solutions? A. 2x + 5(2x + 6) = 12x + 30 B. 2x + 5 = 2 C. 2(x + 5) + 2 = 6x

+ 2(x + 2) D. 5x + 2 = 2x + 6
Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:

A. 2x + 5(2x + 6) = 12x + 30

Step-by-step explanation:

Infinitely many solutions means the two sides of the equation will be equal to each other, so B and D can be eliminated. Distribute for A and C to check

A. 2x + 5(2x + 6) = 12x + 30

    2x + 10x + 30 = 12x + 30

    12x + 30 = 12x + 30

C. 2(x + 5) + 2 = 6x + 2(x + 2)

    2x + 10 + 2 = 6x +2x + 4

     2x + 12 = 8x + 4

You only get the same equation for A, therefore A is the correct answer

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I have 2 questions:
Aneli [31]

The first answer is 48. The next answer is also 48.

3 0
3 years ago
39. The ratio of new houses to antique houses in a village is 4:5. If there are
jeyben [28]

Step-by-step explanation:

☄ \underline{ \underline{ \text{Question }}}: The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?

☄\underline{ \underline{ \text{Solution}}} :

✏ Let , the number of antique houses in a village be ' x ' .

Then , According to the question :

\sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses}  \:  =  \:  \frac{4}{5}}

⤑\sf{ \frac{12}{x}  =  \frac{4}{5}}

Apply cross product property

⤑\sf{4 \times x = 12 \times 5}

⤑\sf{4x = 60}

⤑\sf{ \frac{4x}{4}  =  \frac{60}{4}}

⤑\sf{x = 15}

So, The number of antique houses in a village is 15.

\red{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \bold{15}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

7 0
3 years ago
CORRECT ANSWER GETS BRAINLIEST A frequency table of grades has five classes​ (A, B,​ C, D,​ F) with frequencies of ​4,11 ​,15 ​,
ra1l [238]

Answer:

A = 10.5%

B = 28.9%

C = 39.5%

D = 18.4%

F = 2.6%

Step-by-step explanation:

Add all the frequencies together = 38

  • 4/38 × 100 = 10.5%
  • 11/38 × 100 = 28.9%
  • 15/38 × 100 = 39.5%
  • 7/38 × 100 = 18.4%
  • 1/38 × 100 = 2.6%

10.5 + 28.9 + 39.5 + 18.4 + 2.6 = 100%

5 0
3 years ago
I need a step by step explanation on how you solved the equation.
Ghella [55]

Answer: x=3 and y=−2

Step-by-step explanation:

x=−2y−1;4x−4y=20

Step: Solve x=−2y−1 for x:

Step: Substitute−2y−1 for x in 4x−4y=20:

4x−4y=20

4(−2y−1)−4y=20

−12y−4=20(Simplify both sides of the equation)

−12y−4+4=20+4(Add 4 to both sides)

−12y=24

−12y

−12

=

24

−12

(Divide both sides by -12)

y=−2

Step: Substitute−2 for y x=−2y−1:

x=−2y−1

x=(−2)(−2)−1

x=3(Simplify both sides of the equation)

7 0
3 years ago
5000/210= with the remainder as a fraction
Softa [21]
The answer is 23 4/5
6 0
3 years ago
Read 2 more answers
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