Answer:
The part of the expression that represents the number of quarters is;
D. 25·(3·x + 1)
Step-by-step explanation:
From the question, we have;
The values of the coins Luis has = Nickels, Dimes and quarters
The expression that represents the value of all the coins in cents is given as follows;
5(x + 2) + 10·1 + 25·(3·x + 1)
The value of a nickel = 5 cents
The value of a dime = 10 cents
The value of a quarter = 25 cents
Therefore, the part of the expression representing the number of quarters Luis has, has 25 as a factor
Therefore, the part of the expression that represents the number of quarters = 25·(3·x + 1).
Answer: the length is 6 feet. The width is 2 feet
Step-by-step explanation:
The garden pool is rectangular in shape.
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that
L× W = 12 - - - - - - - - - - 1
The length of the pool needs to be 2ft more than twice that width. This means that
L = 2W + 2 - - - - - - - - - - - 2
Substituting equation 2 into equation 1, it becomes
W(2W + 2) = 12
2W^2 + 2W = 12
2W^2 + 2W - 12 = 0
W^2 + W - 6 = 0
W^2 + 3W - 2W - 6 = 0
W(W + 3) - 2(W + 3) = 0
W - 2 = 0 or W + 3 = 0
W = 2 or W = - 3
Since the Width cannot be negative, then the width is 2 feet
Substituting W = 2 into equation 2. It becomes
L = 2×2 + 2 = 6 feet
Answer:
y = (-3/4)x + 7/4
Step-by-step explanation:
<em>Step 1: Define general form of equation of line</em>
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
<em>Step 2: Set up the system to solve for parameters of equation of line </em>
<em>(solve for M and b)</em>
That equation passes 2 points, which are represented in form of (x, y), (5, -2) and (-3, 4).
Substitute these values of x and y into the original equation in step 1:
-2 = 5M + b
4 = -3M + b
<em>Step 3: Solve the system of equations in step 2 for M and b</em>
Subtract 1st equation from 2nd equation:
6 = -8M
=> M = -6/8 = -3/4
Substitute M back into 1st equation:
=> -2 = 5*(-3/4) + b
=> b = -2 + 15/4
=> b = 7/4
=> The equation of the line that passes through (5, -2) and (-3, 4):
y = (-3/4)x + 7/4
Hope this helps!
:)
Explanation:
Let Number of $45 shares be x
Let number of $ 25 shares be 3x-25
According to question,
So,
Answer:
$39
Step-by-step explanation:
60 percent of 65 dollars is 0.6 * 65 which is $39
