A gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $370, and the cost of joining for 6 months is$530. Write and solve a system of equations to find the registration fee and monthly fee.

Answers

Answer 1
Answer: x-\ registration\ fee\ny-\ monthly\ fee\n\n \left \{ {{x+4y=370} \atop {x+6y=530\ \ |*(-1)}} \right. \n\n \left \{ {{x+4y=370} \atop {-x-6y=-530}} \right. \n+-----\nAddition\n\n-2y=-160\ \ | divide\ by\ -2\ny=80\n\nx=370-4y=370-4*80=370-320=50\n\nRegistration\ fee\ is\ equal\ to\ 50\$\ and\ monthly\ fee\ is\ equal\ to\ 80\$.

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Which pair of numbers has the same gcf as that of 48 and 78A)4 and 34
B)8 and 18
C)9 and 15
D)12 and 30

Answers

greatest common factor is found by finding the factors of each
factors48=2 times 2 times 2 times 2 times 3
78=2 times 3 times 13
find common group
comon group=2 times 2=6
gcf=6
find others
narrow it down by crossing out any choices with numbers not divisible by 6
(crosses out A,B,C since A has 4 and B has 8 and C has 9)

therefor the answer is D, 12 and 18
check
12=2 times 2 times 3
18=2 times 3 times 3
common group=2 times 3=6
correct

answer is D, 12 and 18

HOW MANY TENTHS ARE IN 13.58

Answers

5 tenths, because look at this:

13.58. Tenths is after the decimal. Hope this helps!

There are 135.8 of them.




You start at (1,5). You move 7 units right and five units down. Where do you end?

Answers

your end at (8,0) 7 is your x and 5 is your y... you add 7 to 1 because their your both x values. then do the same to your y but its 5-5 which is 0

A+63 b+52c equal if a=6, b=51 and c=1/4

Answers

I did both things cas you left a space in between 63 b
A + 63 + b + 52c        or        A + 63b + 52c
6 + 63 +51+ 52 * 1/4             6 + 63 * 51 + 52 * 1/4
6 + 63 + 51 + 13.5                 6 + 63 * 51 + 13.5
69 + 51 + 13.5                       69 * 51 +13.5
120 + 13.5                             3519 + 13.5
133.5 0r 133 1/2                    3532.5 0r 3532 1/2
WELCOME :/

What is the value of x? Round your answer to the nearest tenth if necessary.Right triangle whose two legs measure seven and four, and whose hypotenuse is x

Answers

We know that to find the sides of a right triangle we can use the Pythagorean theorem: A^2 + B^2 = C^2.

Plugging in our sides into the equation:
7^2 + 4^2 = x^2
49 + 16 = x^2
65 = x^2
x = 8.06

Rounding x to the nearest tenth, we get x = 8.1

How can you tell when a pattern shows counting on by tens?

Answers

Answer:
The difference between successive terms is 10

Explanation:
To know the factor by which a certain pattern is increasing/decreasing, you need to subtract its successive terms.

If the subtraction gives you 10, this means that the pattern is increasing by 10

Examples:
10, 20, 30, 40, 50, .....
20 - 10 = 10
30 - 20 = 10
40 - 30 = 10
50 - 40 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, this pattern is increasing by 10

37, 47, 57 , .....
47 - 37 = 10
57 - 47 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, the pattern is increasing by 10

Hope this helps :)