we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=Kx
where
K is the constant of proportionality or slope of the linear equation
In this problem
x ----> is the number of months
y -----> is the total amount savings
we have the ordered pairs
(4,80) and (7,140)
so
Find the value of K
K=y/x
For (4,80)
K=80/4=20
For (7,140)
K=140/7=20
The value of K is the same for both ordered paits
that means------> is a proportional relationship
therefore
the linear equation is
y=20x
the answer is the option A, C and D
The Absolute value bars act as the P in PEMDAZ (The P = Parenthesis but it really just means any containing symbols ( (), {}, [], || ) so you distrubute -2 into the bars resulting in the numbers becoming negative then you follow the steps down :)
Answer:
Step-by-step explanation:
(a) You use the fact that the lengths RS and ST total the length RT.
RS +ST = RT
(6y+3) +(3y+5) = 80 . . . . . substitute the given values
9y +8 = 80 . . . . . . . . . . . . .simplify
9y = 72 . . . . . . . . . . . . . . . .subtract 8
72/9 = y = 8 . . . . . . . . . . . .divide by the coefficient of y
___
(b) Now, the value of y can be substituted into the expressions for RS and ST to find their lengths.
RS = 6y +3 = 6·8 +3
RS = 51
ST = 3y +5 = 3·8 +5
ST = 29
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<em>Check</em>
RS +ST = 51 +29 = 80 = RT . . . . the numbers check OK
Answer:
1 7/15
Step-by-step explanation:
Step 1, Find a common denominator
Step 2, Make each side have same denominator
Step 3, Add fractions
Step 4, You now have the fraction 22/15
Step 5, 22/15 is equal to 1 7/15
98 light years * 5.88 x 10^12 miles/light year =
5.76 x 10^14 light years
answer is B.)
