Answer: there are 70 dimes and 40 quarters.
Step-by-step explanation:
A dime is 10 cents
A nickel is 5 cents
A quarter is 25 cents
Let x represent the number of dimes at the bottom.
Let y represent the number of quarters at the bottom.
The city park employee collected 1,850 cents in nickels, dimes, and quarters at the bottom of a wishing well. If there were 30 nickels, it means that
10x + 25y + 30 × 5 = 1850
10x + 25y = 1850 - 150
10x + 25y = 1700- - - - - - - - -1
There is a combined total of 110 dimes and quarters. It means that
x + y = 110
Substituting x = 110 - y into equation 1, it becomes
10(110 - y) + 25y = 1700
1100 - 10y + 25y = 1700
1100 + 15y = 1700
15y = 1700 - 1100
15y = 600
y = 600/15
y = 40
x = 110 - y = 110 - 40
x = 70
Answer:
x = 7
Length = 4 inches , Width = 15 inches
Step-by-step explanation:
<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>
Area of rectangle = Length × Width
A = L × W
L = x - 3
W = x + 8
Therefore:
A = L × W
60 = ( x - 3 ) ( x + 8 )
( x - 3 ) ( x + 8 ) - 60 = 0
x^2 + 8x - 3x - 24 - 60 = 0
x^2 + 5x - 84 = 0
x^2 + 12x - 7x - 84 = 0
x ( x + 12 ) - 7 ( x + 12 ) = 0
( x + 12 ) ( x - 7 ) = 0
THEREFORE:
x = - 12 , x = 7
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>
L = x - 3
L = ( - 12 ) - 3
L = - 15
OR
L = ( 7 ) - 3
L = 4
THEREFORE:
Length can not be a negative number. Hence, L can not equal to - 15.
L = 4 inches
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
W = x + 8
W = ( 7 ) + 8
THEREFORE:
W = 15 inches
Answer:
4
Step-by-step explanation:
-3-(-7) is the same as -3+7, which is also the same as 7-3, which is equal to 4
The correct answer is C. Randomizing the groups and calculating the means and difference of the means.
Answer:
A, Yes, he has 1 cup left
Step-by-step explanation:
5.25 at the start
5.25 - 3.5 = 1.75
1.75 + 2 = 3.75
3.75 - 2.75 = 1
