Answer:
She can buy no more than 22 decorations
Step-by-step explanation:
The costs for the party are food and decorations
Cost = food + decorations * costs per decoration
We can spend no more than 300
Food is 75
Decorations are 10 each
Let d= the number of decorations
300 >= 75 + 10 * d
Subtract 75 from each side
300-75 >= 75-75 + 10 * d
225 >= 10d
Divide each side by 10
225/10 >=10d/10
22.5 >=d
She can buy no more than 22 decorations
Answer:
You take the repeating group of digits and divide it by the same number of digits but formed only by 9s.
Step-by-step explanation:
Let's say you have 0.111111111111...., your repeating pattern is 1, that consists of one digit (1). You take that digit and you divide it by 9:
1/9 is the fraction equivalent to 0.111111111111111...
Let's say you have 0.12121212121212...., the repeating pattern is 12, that consists of 2 digits (12). You take those 2 digits and divide them by 99:
12/99 is the fraction equivalent to 0.12121212121212...
which can be reduced to 4/33
If you have 0.363363363363..., your repeating pattern is 363, which is 3 digits, so you divide 363by 999:
363/999 is the fraction equivalent to 0.363363363363...
which can be simplified to 121/333
120 * 1.75 = 200
5 times 0 = 0
5 times 2 = 10 carry the 1
5 times 1 = 5 + 1 = 6
7 times 0 = 0
7 times 2 = 14 carry the 1...
7 times 1 = 7 + 1 = 8
1 times 0 = 0
1 times 2 = 2
1 times 1 = 1
add it all together and you get 200.
Answer:
hope it helps...
Step-by-step explanation:
The value of the constant of proportionality is k=5k=5
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx
The value of the constant k is equal to the value of the slope
In this problem we have
y=5xy=5x ------> is a linear direct variation
The slope is m=5m=5
therefore
The value of the constant of proportionality is k=5k=5
