3x +4y = 8
y = 3/4x - 2
Substitution Method
3x + 4(3/4x -2) = 8
Distributive Property:
3x + 3x -8 = 8
Simplify:
6x -8 = 8
Add 8 to each side:
6x = 16
Divide both sides by 6"
x = 16/6
x = 2 2/3
Now replace x with that and solve for y:
y = 3/4(2 2/3) - 2
y = 2-2 = 0
y=0
Answer:
64
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 (16) *8
A =64
Answer:
Hundredths
Step-by-step explanation:
Hope it helps. Good luck
Answer:
The Slope of a line formula is given by
m=y2 - y1/ x2 - x1
Now Form a triangle using the straight line(It'd be best if you choose known Points on the graph)
Picking points (1, 2) and (2, 5) connect these points and you'll have a small triangle.
x1 y1 x2 y2
Substituting into the formula
m=5-2/2-1
m=3.
Tom started with total 72 chocolate wafers.
<u><em>Explanation</em></u>
The number of chocolate wafers taken by 8 members of the baseball team are in the sequence : 
The above sequence is <u>arithmetic sequence</u> with first term(a₁)= 1 and common difference (d) = 2
<u>Formula for Sum</u> of first
terms in arithmetic sequence is....
![S_{n}= \frac{n}{2}[2a_{1}+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a_%7B1%7D%2B%28n-1%29d%5D)
So, the Sum of 8 terms in that sequence....
![S_{8}= \frac{8}{2}[2(1)+(8-1)(2)]\\ \\ S_{8}= 4[2+7(2)]\\ \\ S_{8}=4(2+14)\\ \\ S_{8}=4(16)=64](https://tex.z-dn.net/?f=S_%7B8%7D%3D%20%5Cfrac%7B8%7D%7B2%7D%5B2%281%29%2B%288-1%29%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D%204%5B2%2B7%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%282%2B14%29%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%2816%29%3D64)
That means, the total number of chocolate wafers taken by the baseball team members is 64. Tom ate 5 and then gave his brother 3 chocolate wafers at first.
So, the total number of chocolate wafers at starting 