Set up a system of equations.
0.10d + 0.25q = 39.25
d + q = 250
Where 'd' represents the number of dimes, and 'q' represents the number of quarters.
d + q = 250
Subtract 'q' to both sides:
d = -q + 250
Plug in '-q + 250' for 'd' in the 1st equation:
0.10(-q + 250) + 0.25q = 39.25
Distribute 0.10:
-0.10q + 25 + 0.25q = 39.25
Combine like terms:
0.15q + 25 = 39.25
Subtract 25 to both sides:
0.15q = 14.25
Divide 0.15 to both sides:
q = 95
Now plug this into any of the two equations to find 'd':
d + q = 250
d + 95 = 250
Subtract 95 to both sides:
d = 155
So there are 95 quarters and 155 dimes.
Answer:
Step-by-step explanation:
A
The marble is red. There are 6 red marbles out of ten. So the answer is
6/10 = 0.60
B
Red: 1 3 5
Blue: 1 3
So there are 5 ways that you can draw an odd number. The problem is that they are not evenly distributed.
Red: 1/2 * 3/6 = 1/4 = 0.25
Blue: 1/2 * 2/4 = 0.25
Red + blue = 1/4 + 1/4 = 1/2
You could have gotten 1/2 by taking 5/10 but that won't always work.
C
X is the Scale factor so 18/6=X
X=3
Another way to check. the work is 6 x 3 = 18
Hope this Helped. :)
<span>Julia is X+5
</span><span>x+x+5=31
</span>
Now we just solve the equation
2x=31-5
x=26/2
x=13 years old (Babs' age)
and we know that julia is 5 years older this gives us the conclusion that.
13+18=31
Answer:
S(1,2)
Step-by-step explanation:
The value that is being altered is the y value if you go from Q to T and then T to S. The x value = 1 and remains the same for point S.
To go from Q to T, you go from 8 to 5 on the y value. Remember x remains the same. That's three units (8 - 5 = 3)
To go from T to S must be 3 units as well, since the small diagonal is bisected. 5 - 3 = 2 is the answer.
So point S is noted as S(1,2)
