A)
The question tells us that
y + z = 180
And
y=3x+20
z=x
So we put them in the first formula:
y + z = 180
(3x + 20) + x = 180
Add and get x to one side:
4x + 20 = 180
4x + 20 - 20 = 180-20
4x = 160
Divide both sides by 4
x = 40
B)
Put x back in to equation to get size of each angle:
Y =3x +20
Y=3(40)+20
Y=120+20
Y=140
Z=x
Z=40
Verify: y+z=180
140+40=180
180=180
Answer:
- 4
Step-by-step explanation:
(2*(Rationalize(9.7)-Rationalize(4.8x)))==Rationalize(61.2)-Rationalize(3.4)
Rationalize(18.4)-Rationalize(2.8x)
==Rationalize(57.8)
-Rationalize(2.8x)==Rationalize(57.8)-Rationalize(18.4)
x= 38.4÷-2.8
:x= -4
Answer:
$2353 at 12.5% and $7647 at 8.25%
Step-by-step explanation:
I'll say a is the amount he invested in one market, and b is the amount in the other.
a + b = 10000, or b = 10000 - a
multiplying the investments with the percentages and adding them together will give the total earned interest.
(a × 0.125) + (b × 0.0825) = 925
0.125a + 0.0825b = 925
Use substitution to solve for a.
0.125a + 0.0825(10000 - a) = 925
0.125 a + 825 - 0.0825a = 925
0.0425a = 100
a = 2352.94
Use substitution to find b
b = 10000 - 2352.94
b = 7647.06
The questions are to the nearest dollar so round a and b.
$2353 and $7647
Answer:
In the picture
Step-by-step explanation:
Velocity * time = distance
40 (miles / hour) * t (hours) = 60 (miles)
Take note how the units work. miles/hour * hours = miles. This is an indication that a formula we picked is correct.
Now, looking at our formula (and neglecting units at this point)
40t = 60
t = 60/40
<span>t = 1.5 hours</span>