Answer:
About 70%
Step-by-step explanation:
Subtract the number of chocolate cupcakes from the total cupcakes.
108-32=76
76 cupcakes are vanilla.
Divide 76/108
76/108
70.3%
About 70% of the cupcakes are vanilla.
(I don't know if you are allowed to use a calculator in your class, but I did)
First step
Using substitution you can fill 2x + 11 in for the y part of the first equation
This will look like: 2x + 11 = -x^2 -2x + 8
Second step
Now we need to solve for the variable by combining like terms you can start by adding x^2 + 2x -8 to both sides
You get 0 = x^2 +4x +3
Third step
Factor
(X+3)(x+1)=0
If you need the y values you can fill in x= -3 to the second equation y= 2(-3) + 11 and y=5
First point is (-3,5)
The other point is found by filling x=-1 into the second equation: y= 2(-1) +11 and y = 9
Second point is (-1,9)
Answer:
The answer to your question is letter A. Regular size is cheaper than Economy size by $0.0003 per gram
Step-by-step explanation:
Cost of 1 gr of economy size
5000 gr (5 kg) ------------------- $ 5.15
1 gr -------------------- X
x = 1 x 5.15 / 5000 = $0.0010
Cost of 1 gr of regular size
820 gr ------------------- $0.60
1 gr -------------------- x
x = 1 x 0.6 / 820 = $ 0.0007
Difference of cost = $0.0010 - $0.0007 = $0.0003
Arithmetic sequences have a common difference between consecutive terms.
Geometric sequences have a common ratio between consecutive terms.
Let's compute the differences and ratios between consecutive terms:
Differences:

Ratios:

So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.
So, this is an arithmetic sequence.
Well,
we know that we need to accumulate points from x and y to reach 20 points.
since x provide 3 and y provide 4 points, the formula would be :
3x + 4y = 20
or it can be written as :
y = (3x/4)+5
hope this helps