Answer:
Step-by-step explanation:
let the Cookie Dough kit be x
and Baker’s Delight kit be y
cost of Cookie Dough kit= $7
cost of Baker’s Delight= $15
so
x+y=220------------1
7x+15y=2100------2
solve for x and y we have
multiply eqn 1 by 7 and subtract
7x+7y=1540---------3
- 7x+15y=2100-------2
0x-8y=-560
8y=560
divide both sides by 8 we have
y=560/8
y=70
put y=70 in eqn 1 we have
x+70=220
x=220-70
x=150
x=220-70
x=150
A. How many of each type of kit should your band purchase to raise the most money
Cookie Dough kit= 150
Baker’s Delight= 70
B. What is the most money that your band can raise?
Cookie Dough kit profit= selling price-cost price= 12-7= $5
Baker’s Delight profit= selling price-cost price= 25-15= $10
Amount made for Cookie Dough = 150*5=$750
Amount made for Baker’s Delight = 70*10=$700
total= 750+700= $1450
Answer:
39.8 cm^2
Step-by-step explanation:
area of triangle
base = 5 cm
height = 12 cm
are of triangle = base *height / 2
=5*12/2
=60/2
30 cm^2
area of semi circle
diamtere = 5
radius = diameter/2
=5/2
=2.5
area of semi circle = πr^2/2
=3.14*2.5^2/2
=19.625/2
=9.8125 cm^2
are of the figure = are of triangle + area of semicircle
=30 + 9.8125 cm^2
=39.8125 cm^2
=39.8 cm^2 (after converting to the nearest tenth)
2. 3/4(-4 + 4x) = -3 + 3x 3/4 times 4 is 3, so if you distribute 3/4 (-4 + 4x), you will get -3 + 3x.
3. -0.113(-4x - 4) = 0.452x + 0.452 0.113 times 4 is 0.452, but you need to make sure to have the correct signs. Since the product is positive and -0.113 is negative, you would have to multiply it by a negative to get the product.
If you're having trouble with multiplying by fractions, just use repeated addition in your head. For example, for the first problem, instead of trying to tackle 3/4 times 4, think 3/4 + 3/4 + 3/4 + 3/4.
3/4 + 3/4 = 6/4
6/4 + 3/4 = 9/4
9/4 + 3/4 = 12/4
12/4 = 3
For the second problem, when multiplying by a decimal, just do what you'd normally do for multiplication. When you get to the end, count how many digits you had behind the decimal before, and put the decimal in the corresponding space for the answer.
0.113
x 4
0452
There are 3 digits behind the 0 in 0.113, so there should be 3 digits behind the decimal in the answer. So, the answer should be 0.452.
Hope this helps!
