Answer:
Joyce has total 62 colored beads.
Step-by-step explanation:
For making groups of 9, let the number of beads be x.
total beads = 9x + 8
For making groups of 8, let the number of beads be y.
total beads = 8y + 6
As the total number of beads in both cases are same so,
9x + 8= 8y + 6
or, 9x-8y = -2
Now lets check the values through hit and trial;
First check; x=6, y=7
9*6 - 8*7 = -2
or, 54- 56 = -2
or, -2 =-2
This satisfies our equation.
Hence; Total beads = 9*6 + 8 = 62
The total number of beads joyce had is 62.
Look for the graph where the line crosses the y axis at y=-1, and whose slope is -3. The answer is b.
Answer:
P = 105°
QR = 11.6
M = 45°
LN = 8.5
Step-by-step explanation:
when reading the order of what is given LMN = PRQ the order DOES matter
so whe looking at what is being asked....
P will equal whatever its place is in the opposite equation. In this case that is L. This means that P = L. Since L = 105° then so does P.
You can do this with the rest of the letters. What ever letter is in it's place in the opposite equation that is what it equals.
10 people who build at the same rate can frame a house in 6 days. That means it will take one person
days to finish the house.
Which means that it will take 4 people
days to finish the house.
So, the fractional part of the house 4 people can frame in 3 days will be 
Thus, Option D is the correct answer.
Answer:
The length side of the original square banner was 9 ft
Step-by-step explanation:
Let
x-----> the length side of the original square banner
we know that
The new area of the banner is equal to

Solve for x

Solve the quadratic equation by graphing
The solution is x=9 ft
see the attached figure