Let
x = the number of dimes
y = the number of quarters
The total sum is $2.05, therefore
0.10x + 0.25y = 2.05
Divide through by 0.05 to obtain
2x + 5y = 41 (1)
There are 3 fewer quarters than dimes, therefore
y = x - 3 (2)
Substitute (2) into (1).
2x + 5(x - 3) = 41
2x + 5x - 15 = 41
7x = 56
x = 8
y = x - 3 = 5
Answer: 8 dimes, 5 quarters
Answer:
Hello! answer: -6
4 ÷ 2 = 2 5 - 8 = -3
2(-3) = -6 therefore the answer is -6 hope that helps!
Answer:
Height of tank = 50cm
Step-by-step explanation:
Volume of water from tank that the water is 10cm down is 84000cm³
Length = 60cm
Width = 35cm
Height of water = x
Volume = length* width* height
Volume= 84000cm³
84000 = 60*35*x
84000= 2100x
84000/2100= x
40 = x
Height of water= 40cm
Height of tank I = height of water+ 10cm
Height of tank= 40+10= 50cm
Height of tank = 50cm
Let's break it up into 2 figures, the rectangle on the right with dimensions 3 x 10, and the rectangle on the left with dimensions 8 x 6.
A = 3 x 10
A = 8 x 6
A = 30
A = 48
The sum of these two, 78, will represent the area of the total figure.
Answer:
Part A: x - $13 = $499
Part B: The original cost is $512
Step-by-step explanation:
PART A:
If the discounted price is $499 and the discount is $13, the the original price (x) minus the discount ($13) equals the discounted price ($499).
Hence, x - $13 = $499.
PART B:
In order to find the original price (x) add the discount ($13) to the discounted price ($499). To do this, set the equation in Part A equal to x by add $13 to both sides.
x - $13 = $499
x - $13 +$13 = $499 + $13
Then add $499 and $13 to get $512.
x = $499 + $13
x = $512