Answer:
24 cubic units
Step-by-step explanation:
The first prism has 20 cubic units and all you have to do is add 4 more cubic units and you will get 24 cubic units.
Answer:
Clem's Height =38 Inches
Clyde's Height= 53 Inches
Chloe's Height = 47 Inches
Step-by-step explanation:
Let Clem's height be x, Clyde's height be y and Chloe's height be z
As given
x+y+z=11 feet 6 inches
As 1 Foot= 12 Inches so (11*12+6)=138
x+y+z= 138 inches (Equation 1)
Clem is 15 inches shorter than Clyde so:
x+15=y (Equation 2)
Clyde is 6 inches taller than Chloe
z=y-6 (Equation 3)
Putting z's value from equation 3 in equation 1
x+y+y-6=138
x+2y=138+6
x+2y=144 (Equation 4)
Putting Value of y from equation 1 in equation 4
x+2(x+15)=144
x+2x+30=144
3x=144-30
x=114/3
x=38
Putting x's value in equation 1 to get the value of y
38+15=y
y=53
Putting value of y in equation 3
z=53-6
z=47
Checking by putting values of x,y,z in equation 1 to see whether all heights equal 138 inches or not
38+53+47=138
138=138
The man invested 1/5 of the money at 4/100. Which says he earns 4/500 of his total money on one month.
He also invested 1/2 of the money at 5/100. Which means he earns 5/200 of his total money per month.
For the last part, he spent the rest of the money which is: x + 1/5 + 1/2 = 1
Make the denominators equal: x + 2/10 + 5/10 = 10/10
Add like terms: x + 7/10 = 10/10
Substract 7/10: x=3/10
He gave this money for 3.5/100 interest. Which equals 10.5/1000 of his total money.
When you add the three values: 4/500 + 5/200 + 10.5/1000
Make denominators equal: 8/1000 + 25/1000 + 10.5/1000
Add the like terms: 43.5/1000
This means the man's money's 43.5/1000 is equal to $870
Set the values equal: 43.5x/1000 = 870
Make the denominators equal: 43.5x/1000 = 870,000/1000
Multiply with 1000: 43.5x = 870,000
Divide both sides by 43.5: x = 20,000
The man's total money is $20,000
<span>9x2 + 30x + 25 = </span>(3x + 5)²
x = -5/3
The answer is 3.14 I learned this in school
