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PLEASE HELP
Question 1: The sum of two consecutive even integers is 70. Find the numbers. Question 1 options:
28 and 32
30 and 40
33 and 37
34 and 36
Question 2: Cat is 5 less than twice Dog's age. Cat is 11 years old. Find Dog's age.
Question 2 options:

8

7

6

5
Question 3: The sum of three consecutive numbers is 46. Find the numbers.

Question 3 options:

19, 20, and 21


20, 21, and 22


21, 22, and 23


22, 23, and 24
Question 4: What is the equation for the sum of three consecutive even numbers totaling 198.

Question 4 options:

n+n+1+n+2=198

n+n+2+n+4=198

3n=198

n+3=198
Question 5: What is the equation for the sum of four consecutive numbers totaling 86.

Question 5 options:

4n=86

n+4=86

n+n+1+n+2+n+3=86

n+n+2+n++4+n+6=86
Question 6: The perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width. Find the dimensions

Question 6 options:

length = 45 and width = 30


length = 30 and width =45


length = 75 and width = 60


length =60 and width =75
Question 7: A couch cost $825. If the state has a 10% sale's tax. What was the price of the couch before taxes?

Question 7 options:

785

$750

735

700
Question 8: A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicycle cost 5 times as much as the helmet?
Question 8 options:

bike = $200 and helmet = $40


bike = $160 and helmet = $80


bike = $120 and helmet = $60


bike = $100 and helmet = $90

Respuesta :

1.D. 34 & 36
2.6
3.consecutive even integers are two numbers apartx = 1st even integerx+2 = next consecutive even integerx+(x+2)=462x+2=462x=44x=22so the two consecutive even integers are 22 and 24

4.Let's say that one of the consecutive even integers is n. That means that the next two are (n + 2) and (n + 4), for simplicity's sake. You can also say that the other two are (n - 2) and (n - 4) or that they are (n - 2) and (n + 2), but they would all give you the same numbers in the end. So if three consecutive even integers add up to 198: n + (n + 2) + (n + 4) = 198 We can solve for n: 3n + 6 = 198 3n = 192 n = 64 The other two integers are then (n + 2) = 66 and (n + 4) = 68.

5.It would be the  3rd option n + n+1 + n+2 + n+3 = 866.The perimeter is length + width + opposite length + opposite width, or in other words: 150 = 2L + 2W 
Also L = W + 15 

So, 150 = 2(W + 15) + 2W = 4W + 30 

This means, 4W = 120 or W = 30 
Therefore: L = 30 + 15 = 45 
7.Let the price be p.  Then 1.10p = $8.25.  Solving for p, p = $750 (answer)
8.C
I hope this helped!

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