We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.
It is used like this: a(b + c) = ab + ac.
Use the distributive property on the left-hand side.
3(x - 1) = 6
3x - 3 = 6
Now we have an equation that is easier.
The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.
3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
So, I divided both sides by 3.
So, x is equal to 3.
Working:
Area of the rectangle= 12 x 4 =
48cm^2Area of the semicircles=
x 2² =
12.56cm^2
48+12.56= 60.56
Answer: 60.56cm²
Answer:
<em>Bree spoke at 55 assemblies in this district.</em>
Step-by-step explanation:
Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:
C(a) = 50a+1,500
Being a the number of assemblies attending the meeting.
It's given Bree charged the Escambia City School District $4,250 to speak at school assemblies.
We can find the number of assemblies by solving the equation:
50a+1,500=4,250
Subtracting 1,500:
50a=4,250-1,500=2,750
Dividing by 50;
a = 2,750 / 50=55
Bree spoke at 55 assemblies in this district.
This one is correct good job,anymore questions
Answer:
$7,000
Step-by-step explanation:
Let x = the part of $16,000 that was lent at 8%.
Then 16,000 - x is the part that was lent at 16%.
The interest earned at 8% is 0.08x.
The interest earned at 16% is 0.16(16,000 - x).
The total interest earned is 0.08x + 0.16(16,000 - x).
The total interest earned was $2,000, so
0.08x + 0.16(16,000 - x) = 2000
Now we solve for x to find out the amount lent at 8%.
0.08x + 0.16(16,000 - x) = 2000
0.08x + 2560 - 0.16x = 2000
-0.08x + 2560 = 2000
-0.08x = -560
x = 7000
Answer: $7,000