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VikaD [51]
3 years ago
13

Please help! I will rank and thank! :)

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0
Parallel lines have the same slope.The equation of a line is y=mx+b
where m is the slope
so look at lines where m=2
 d is the correct answer
because y=2x-10 so m=2
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Paul is three times as old as Mary and Peter is four times as old as Mary,If the sum of their ages is 64, how old are Peter,Paul
uysha [10]
Let Mary's age be x.

Paul is three times as old as Mary, so Paul's age would be 3x.

Peter is four times as old as Mary, so Peter's age would be 4x.

The sum of their ages is 64
⇒ Paul's age+ Peter's age+ Mary's age= 64
⇒ 3x+ 4x+ x= 64
⇒ 8x= 64
⇒ x= 64/8
⇒ x= 8

Paul's age is: 3x= 3*8= 24

Peter's age is: 4x= 4*8= 32

Final answer: Paul is 24 years old.
Peter is 32 years old.
Mary is 8 years old.

Hope this helps~
7 0
3 years ago
(+×9)(×-2) can some one solve it
marshall27 [118]
X2 - 2x + 9x - 18
X2 + 7x - 18
4 0
3 years ago
Find the pay earned: 33 hours at $5.15 per hour
Inessa [10]
$169.95 

33*5.15=169.95
5 0
3 years ago
Read 2 more answers
Shania bought a $1455 drum set on the installment plan. The installment agreement included a 15% down payment and 18 monthly pay
ahrayia [7]

Answer:

A

Step-by-step explanation:

3 0
2 years ago
The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0
3 years ago
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