Answer:
The person invested $3500 at 7% and $2500 at 5%
Step-by-step explanation:
We can say that 
because the investment is equal both in one as in another, where x is the income from the investment.
Solving the equation we have:
Then to get the incomes:
At 7%: 
And at 5%: 
Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000
Answer:
The measure of the angles are 46, 89, and 41 degrees.
Step-by-step explanation:
In order to find this, we need to add all 3 angles together and set equal to 180. Then we can find x.
x + 2x - 3 + x - 5 = 180
4x - 8 = 180
4x = 188
x = 46
Now we can find the value of each angle using the value of x.
Angle 1:
x = 46
Angle 2:
2x - 3
2(46) - 3
92 - 3
89
Angle 3:
x - 5
46 - 5
41
Answer:
1 to 3
Step-by-step explanation:
For every goal team A scored, team B scored 3 goals.
So when team A scores 1 goal,
Team B scores 3 goals.
1 goal, 3 goals
1:3, or 1 to 3
Answer:
60
Step-by-step explanation:
Sum the parts of the ratio, 5 + 9 + 13 = 27 parts
Divide the amount of concrete by 27 to find the value of one part of the ratio.
324 ÷ 27 = 12 ← value of 1 part of the ratio , thus
5 parts = 5 × 12 = 60 ← cement
9 parts = 9 × 12 = 108 ← sand
13 parts = 13 × 12 = 156 ← gravel
The answer to the question is x = 0
