Area of a rectangle= length*width
So:
Area of the playground= (6x)(4x+4)
Use distributive property.
Area of the playground= (6x*4x)+(6x*4)
=24x^2+24x
Answer: 24x^2+24x
it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.
To determine the number of weeks it takes for both you and your friend to have the same amount of money in your savings accounts, we need to set up an equation.
Let's denote the number of weeks as 'x'. For you, the amount of money in your savings account after 'x' weeks can be calculated as follows:
Amount of money in your account = $75 + $5x
For your friend, the amount of money in his savings account after 'x' weeks can be calculated as:
Amount of money in your friend's account = $30 + $10x
To find the number of weeks where you both have the same amount of money, we set up the equation:
$75 + $5x = $30 + $10x
Simplifying the equation:
$5x - $10x = $30 - $75
-$5x = -$45
Dividing both sides of the equation by -5 gives us:
x = 9
Therefore, it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.
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Answer:
9 weeks
Step-by-step explanation:
5x+75=10x+30
-5x -5x
75=5x+30
-30 -30
45=5x
÷5 ÷5
9=x
x=9
$164 on the second day by selling 10 senior citizen tickets and 13 student tickets. Find the price
of a senior citizen ticket and the price of a student ticket
Answer:
$8 for student tickets and $4.40 for senior tickets
Step-by-step explanation:
10 (5x +8y=94)
5 (10x +13y=164)
50x+80y=940
- 50x +65y=820
80y-65y= 940-820
15y= 120/15
y=8
(y is the cost of student tickets)
5x+8y=94
5x+8(9)=94
5x+72=94-72
5x=22/5
x= 4.4
Solve the given equation for z :
2iz - 5 + i = i - (z - 2i )
2iz - 5 = 2i - z
(2i + 1) z = 2i + 5
z = (2i + 5)/(2i + 1)
z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)
z = (4i ² + 10i - 2i - 5) / (4i ² - 1)
z = (8i - 9)/(-5)
z = 9/5 - 8/5 i
Then
w = z - 1 + i = 4/5 - 3/5 i
Answer:
The coordinates of the center of the lake are .
Step-by-step explanation:
It is given that Hillman Peak, Garfield Peak, and Cloudcap are three mountain peaks on the rim of the lake. The peaks are located in a coordinate plane at H(-4,1), G(-2,-3), and C(5,-2).
If we joint these points, then we get a triangle and the center of a triangle is known as centroid.
The formula for centroid of a triangle is
The centroid of the triangle H(-4,1), G(-2,-3), and C(5,-2) is
Therefore the coordinates of the center of the lake are .
.15x=12
x= 12/.15
x= 80
15% of 80 equals 12
I hope that's help !
12 to 16
24:36
16 to 24