Answer:
<u>The percentage loss per gallon is 23.17%</u>
Step-by-step explanation:
Original price per gallon = $ 2.59
Discounted price per gallon = $ 1.99
Now, let's calculate the percentage loss per gallon, using the Direct Rule of Three, as follows:
Price Percentage
2.59 100
1.99 x
*****************************
2.59 * x = 1.99 * 100
2.59x = 199
x = 199/2.59
x = 76.83
Percentage loss = 100 - 76.83
<u>Percentage loss = 23.17%</u>
Answer:
the question in the parenthesis
Step-by-step explanation:
because thats how the order of operations work
Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Answer:
No, it is not
Step-by-step explanation:
First, you insert the numbers at the x and y. So, the 10 goes where the y does and the 4 goes where the x does, which makes the equation 10∠2(4)+1
2(4)+1=9, and since 10 is not less than 9, (4,10) is not a solution to the inequality.
(hope this helps :P)
Answer:
24 feet
Step-by-step explanation:
We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.
We have to find the dimensions of the sheet metal
Let x feet be the side of square metal sheet
Length of box=x-12 feet (because 6 feet removed from each corner)
Width of box=x-12 feet
Height of box=6 feet
Volume of box=864 cubic feet
We know that volume of cuboid=
Box is in cuboid shaped
Therefore, volume of box=
Then ,
x=0 is not possible because side of square metal sheet can not be zero
Therefore, x=24
All sides of square metal sheet are equal.
Hence, side of square metal sheet =24 feet