2x - 4 = 8
2x = 8 + 4
2x = 12
x = 6
so he answer is e. 6
The rectangles are similar. The difference between 7 and 8 is that the second one is dilated by 1/2
Answer:
$55.17
Step-by-step explanation:
we know that
The average daily balance (ADB) for deposit accounts is equal to the total of balances in a month divided by the days in that month.
In this problem
The average daily balance (ADB) of Elliot's account for the month of June is equal to the total of balances in June divided by 30 (because there are 30 days in June)
Find the total of balances in June
1,223+615-63-120=$1,655
Divided by 30
ADB=$1,655/30=$55.17
Answer:
304m^2
Step-by-step explanation:
First find the surface area of the base by multiplying the length by the width.
(12m) (8m)= 96m^2
Second, find the surface area of the front and back triangles using the formula <em>1/2 (base) (height)</em>. Use the length for the base.
1/2 (12m) (10m)= 60m^2
Next, find the surface area of the side triangles using the formula <em>1/2 (base) (height). </em>Use the width as the base.
1/2 (8m) (11m)= 44m^2
Last, add the surface area of each section. Make sure you add the area of each face.(we only solved for 1 of the front/ back triangles and 1 of the side triangles) To make it easier to understand I wrote out an equation to show how I added the surface areas.
base=a, front/ back triangles= b, side triangles=c
SA= a + 2b +2c or SA= a +b +b +c +c
Using one of the equations above solve for the total surface area.
SA= (96m^2) + (60m^2) +(60m^2) +(44m^2) +(44m^2)
or
SA= (96m^2) + 2(60m^2) +2(44m^2)
SA= (96m^2) +(120m^2) +(88m^2)
SA= 304m^2
The value of y when x = 10 is 22.5 ⇒ 1st answer
Step-by-step explanation:
Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
If y varies directly with x, then
- y ∝ x
- y = k x, is the equation of variation where k is the constant of variation
∵ y varies directly with x
∴ y ∝ x
∴ y = k x
To find k substitute x and y by their initial values
∵ y = 9 and x = 4
- Substitute y by 9 and x by 4 in the equation above
∴ 9 = k(4)
- Divide both sides by 4
∴ 2.25 = k
∴ The value of k is 2.25
- Substitute the value of k in the equation above
∴ y = 2.25 x ⇒ equation of variation
∵ x = 10
- To find y substitute x by 10 in the equation of variation
∵ y = 2.25(10)
∴ y = 22.5
∴ The value of y is 22.5
The value of y when x = 10 is 22.5
Learn more:
You can learn more about variation in brainly.com/question/10708697
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