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Answer:
- x² = y + 16
- 4y - 1 = 7x
- (5, 9)
Step-by-step explanation:
Writing equations from words is mostly a matter of understanding what the English words mean.
If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:
x² = y + 16 . . . . the first equation
The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...
4y -1
This is equal to the first number (x) multiplied by 7, so ...
4y -1 = 7x . . . . the second equation
__
These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...
(x, y) = (5, 9)
Answer:
65 miles
Step-by-step explanation:
There are two simultaneous equations
. Remeber that v=d/t, 1hour = 60 minutes.
1. 40 = (d+15)/(t+0.5)
2. 50 = d/t
solving: d= 25 miles and t=0.5 hours.
The distance traveled is:
D=d+d+15
D=65 miles
Answer:
$10.12
Step-by-step explanation:
Step one:
given data
we are told that the cost of binoculars is $155.75
and also the sales tax is 7%
Step two:
We want to first solve for the sales tax which is 7% of $155.75
=7/100* 155.75
=0.070*155.75
=10.12
Cassie will pay a tax of $10.12
Also Cassie will pay a total amount of
= 155.75+10.12
=$165.87
Answer:
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Answer:
x=3, y=0.8
Step-by-step explanation:
8x+5y=28
4x+5y=16
Subtract the second simultaneous equation from the first.
You are left with: 4x=12
12/4=3
x=3
Substitute this back into one of the equations.
8(3)+5y=28
8*3=24
28-24=4
4=5y
4/5=0.8
y=0.8
