Answer:
m=48
Step-by-step explanation:
m/3=18-2
m/3=16
m=16x3
m=48
Answer:
$250
Step-by-step explanation:
discounting 15 percent is the same as marking something for 85 percent. This is the same as multiplying by .85
set up equation and solve
.85x=212.50
x=250
Answer:
x+1x=3x+1x=3
(x+1x)3=33(x+1x)3=33
x3+3.x2.1x+3.x.1x2+1x3=27x3+3.x2.1x+3.x.1x2+1x3=27
(x3+1x3)+3.x2.1x+3.x.1x2=27(x3+1x3)+3.x2.1x+3.x.1x2=27
x3+1x3+(3x+3x)=27x3+1x3+(3x+3x)=27
x3+1x3+3(x+1x)=27x3+1x3+3(x+1x)=27
x3+1x3+3×3=27x3+1x3+3×3=27
the answer is 18
Answer:
10 years old
Step-by-step explanation:
Let m = mother's age
Let f = father's age
Let d = Dina's age
m = 4d d = f-35 f = m+5
Substitute the middle equation in to the first equation
m = 4(f - 35) Use the distributive property
m = 4f - 140 subtract 4f from both sides
*m -4f = -140
In equation 3 above, subtract m from both sides to get
f = m+5
f - m = 5 rearrange so that the m term is first
*-m + f = 5
Now add the equations together that have *
m -4f = -140
<u>-m + f = 5</u>
-3f = -135 Divide both sides by -3
f = 45 This is the father's age. To find Dina's age, plug 45 into the second equation above:
d = f -35
d = 45 -35
d = 10.
To find the mom's age, use the third equation:
f = m+5
45 = m + 5
40 = m
You can check this by plugging the answers you found and you can see that all three equations are solved.
m = 4d d = f - 35 f = m + 5
40 = 4(10) 10 = 45 - 35 45 = 40 + 5
40 = 40 10 = 10 45 = 45
To find y-intercepts, you substitute in 0 for X
2y-5x=16
2y-5(0)=16
2y-0=16
2y=16
Y=8
So the y-intercept is (0,8)