Answer:
4x+12
Step-by-step explanation:
4(x+3)=4x+12.
You use the distributive property by multiplying both numbers in the parentheses by 4
Answer:
13.5
Step-by-step explanation:
(Are you meaning this as the answer is a decimal?)
3/50 * 225/1
<em>Cross-cancel 50 and 225 by cancelling out 25.</em>
3/2 * 9/1
<em>Rewrite this so it is a single fraction.</em>
(3 * 9)/2
<em>Multiply 3 by 9 to get 27.</em>
27/2
<em>Divide 27 by 2 to get 13.5.</em>
13.5
6% of 225 is 13.5.
Answer:
A
Step-by-step explanation:
Since the pyramids are similar, the scale factor will be 3. So the height of the small pyramid is 6.3/3=2.1. The volume will be (1/3)*(2.1)*(2.3)^2=3.70
Answer:
9 weeks
Step-by-Step Instructions:
Step 1: State what is know
Bart deposits 10 dollars every week
Bart has 90 dollars in his account
Step 2: Find a way to solve for how many weeks Bart ha been depositing money
Total money in account / 10 dollars deposit per week = weeks he has been depositing
Step 3: Substitute in values and solve
90/ 10 = 9
Step 4: State your findings
Therefore Bart has been depositing money for 9 weeks
Answer:
and
Step-by-step explanation:
The standard equation of a circle is 
where the coordinate (h,k) is the center of the circle.
Second Problem:
- We can start with the second problem which uses this info very easily.
- (h,k) in this problem is (-2,15) simply plug these into the equation.
. - We can also add the radius 3 and square it so it becomes 9. The equation.
- This simplifies to .
First Problem:
- The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.
first subtract 37 from both sides so the equation is now 
.- by adding
to both the x and y portions of this equation you can complete the squares. 
and 
which equals 49 and 4. - Add 49 and 4 to both sides and the equation is now:
You can simplify the y and x portions of the equations into the perfect squares or factored form 
and 
. - Finally put the whole thing together. .
I hope this helps!
