Answer:
See answers below
Step-by-step explanation:
T59 = a+58d = -61
T4 = a+3d = 64.
Subtract
58d-3d = -61-64
-55d = -125
d =125/55
d = 25/11
Get a;
From 2
a+3d = 64
a+3(25/11) = 64
a = 64-75/11
a = 704-75/11
a = 629/11
T23 = a+22d
T23 = 629/11+22(25/11)
T23 = 1179/11
So you want to find the price for 1 apple you find that by dividing so 23.60/5=4.72
and 32.76/7=<span>4.68
so, the 7 bag for 32.76 is the better deal</span>
Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.
Answer:
Step-by-step explanation:
Put in the form of y = Ax + B
x + 2y = 10
2y = -x + 10
y = -½x + 5
has a slope of -½ and a y intercept of 5
-x + 4y = 8
4y = x + 8
y = ¼x + 2
has a slope of ¼ and a y intercept of 2
(a) 3x=4(x-2.25) (or simplified: 3x=4x-9)
(b) 3x=4x-9
0=x-9
x=$9
(c) 3x9=27
4x9=36
36-9=27
and 27=27 therefore they spent the same and it is correct
(d) Tanya's items cost $9 each and Tony's items cost $2.25 less than this, or $6.75