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Ipatiy [6.2K]
3 years ago
11

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a,b and c integers and a>1

Mathematics
2 answers:
Keith_Richards [23]3 years ago
7 0

Answer:

4(5x + 6).

Step-by-step explanation:

5(6x + 4) -2 (5x - 2)

= 30x + 20 - 10x + 4

=  20x + 24

= 4(5x + 6) (answer).

Pavel [41]3 years ago
5 0

Answer:

4(5x + 6)

Step-by-step explanation:

To start, let's expand things out, as we cannot learn anything from this form. We get 30x + 20 - 10x + 4, or 20x + 24. To find the GCD (Greatest Common Divisor), we take the terms and try to find the number (or term) that divides them. It must be a constant, because of the 24, and 4 goes into 20 and 24. So, our final answer is 4(5x + 6).

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FASTTTTTTTTT PPPPPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZ
Deffense [45]

Answer:

(a) B

(b) $2

Step-by-step explanation:

(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:

12t + 8p = 184

9t + 6p = 138

We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:

3 * (12t + 8p = 184)

4 * (9t + 6p = 138)

We get:

36t + 24p = 552

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    36t + 24p = 552

________________

       0 = 0

Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.

(b) Our equation from this, if we still use t and p, is:

5t + 4p = 82

Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:

5t + 4p = 82

9t + 6p = 138

To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:

6 * (5t + 4p = 82)

4 * (9t + 6p = 138)

We get:

30t + 24p = 492

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    30t + 24p = 492

________________

      6t + 0p = 60

So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:

5t + 4p = 82

5 * 10 + 4p = 82

50 + 4p = 82

4p = 32

p = 32/4 = $8

So the ticket costs 10 - 8 = $2 more dollars than the popcorn.

5 0
3 years ago
Read 2 more answers
The number of students of 7 more than 5 times the number of teacher. there are 12 theacher. how many students are there?
Alborosie

students =7+5*teachers

students = 7+5*12

students = 7+60

students = 67

5 0
3 years ago
NEED HELP ASAP!!!!!!!!!!!
Ivanshal [37]

Answer:

a.  \frac{x + 3}{21}=\frac{x + 1}{15}

b. x = 4 (see steps below)

Step-by-step explanation:

Since the two polygons are similar, the sides are proportional to each other.  Using a proportion, you can solve for 'x' using cross-multiplication and division:

\frac{smaller}{larger}=\frac{x + 3}{21}=\frac{x + 1}{15}

Cross-multiply: 15(x + 3) = 21(x + 1)

Distribute:  15x + 45 = 21x + 21

Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21

Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x

Divide by 6 on both sides: 24/6 = 6x/6

Solve for x: x = 4

4 0
3 years ago
Do these two expressions represent equivalent expressions? Explain why or why not. 36 + 20 4(9 + 5)
Keith_Richards [23]

Answer:

they are equivalent

Step-by-step explanation:

because 4 times 9 is 36 and 4 times 5 is 20 so it is equal to 36+20

4 0
3 years ago
Read 2 more answers
If you decide to rent a place to live, you'll need to sign
tigry1 [53]

Answer:

??????????????????????

6 0
3 years ago
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