Answer:
for what source
Step-by-step explanation:
Answer: 0.10d + 0.05n
Note: this value expression is in dollars (not cents)
If you want the expression in cents instead of dollars, then it would be 10d+5n
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The value of just the dimes only is 0.10d dollars
The value of just the nickels only is 0.05n dollars
Combined the total value is 0.10d+0.05n dollars
After reading the problem, you are often asked to solve it.
Hello!
If you want to find an equation that is parallel to another equation, and passing through the point (1, 4), you need to create a new equation with the same slope, you need to substitute the given point into the new equation to find the y-intercept.
m = 3, y = 3x + b (substitute the ordered pair)
4 = 3(1) + b (simplify)
4 = 3 + b (subtract 3 from both sides)
b = 1
Therefore, the line parallel to the line y = 3x - 2 and passing through the point (1, 4) is y = 3x + 1.
Answer:
x = 16
Explanations:
Since △ACD ~ △ABE, it means that:
CD/AD = BE/AE..........(*)
CD = 3x + 8
AD = AE + ED
AD = (x - 1) + 27
AD = x + 26
BE = 20
AE = x - 1
Substituting CD, AD, BE, and AE into equation (*)
(3x+8)/(x+26) = 20/x-1
Cross multiply:
(3x+8)(x-1) = 20(x+26)
3x² - 3x + 8x - 8= 20x + 520
3x²- 15x - 528 = 0
Divide through by 3
x² - 5x - 176 = 0
Solving the quadratic equation above for the values of x
x² - 16x + 11x - 176 = 0
x(x - 16) + 11 (x - 16) = 0
(x - 16)(x + 11) = 0
If x - 16 = 0
x = 16
If x + 11 = 0
x = -11
x cannot be -11 because x = -11 will make side CD and AE to be negative, and the sides of a triangle cannot be negative.
Therefore, x = 16
