Answer: 15
Step-by-step explanation:
I am assuming the equation is set up like this:
(x+9)/3 = 8
Multipy by 3 to both sides
x + 9 = 24
Subtract 9
x = 15
Answer:
one tin of cheese $23
one tin of caramel $27
Step-by-step explanation:
let 'x' = cost of cheese tin
let 'y' = cost of caramel tin
10x + 8y = 446
22x + 11y = 803
i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms
-110x - 88y = -4906
+ <u>176x + 88y = 6424</u>
66x = 1518
x = 1518 / 66
x = 23
find 'y': 10(23) + 8y = 446
230 + 8y = 446
8y = 216
y = 27
(5,-3) (-1,6)
y=mx+b
calculate m:
(-3-6)/(5-(-1)
=-9/6=-1.5
y=-1.5x+b
insert the (5, -3) point to calculate b:
-3=-1.5*5+b
-3=-7.5+b
4.5=b
b=the y intercept, so the line intercepts x=0 at y=4.5
The greatest common factor of 20 and 30 is 10. This is because 10 is the largest number that when it is used to divide 20 or 30, it equals a whole number.
The simple way for us to solve is to write down the factors of both numbers, find the factors that match for both numbers, and see which is the largest out of those that match.
20: <u>1</u>,<u>2</u>,4,<u>5</u>,<u>10</u>,20
30: <u>1</u>,<u>2</u>,3,<u>5</u>,6,<u>10</u>,15,30
Using that logic, we can see that 10 is the greatest factor that the numbers share.
A.
5 * 2 = 10
8 * 2 = 16
10 cm by 16 cm is the new dimensions. Area = 160 sq cm. Perimeter = 52 cm.
B.
5 * 3 = 15
8 * 3 = 24
15 cm by 24 cm is the new dimensions. Area = 360 sq cm. Perimeter = 78 cm.
C.
The areas for the different sized photos both still maintain a ratio of 5:8 cm.