D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
Answer:
The answer is C
Step-by-step explanation:
Reflecting across the y-axis is like folding across the y-axis.
2,-2, turns into -2,-2
Hope this helped!
Answer:
C
Step-by-step explanation:
The slope m of the functions give the measure of the rate of change.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
g(x) = x - 3 ← is in slope- intercept form
with slope m = = 2.5
Calculate the slope of f(x) using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 3.5) and (x₂, y₂ ) = (1, - 1) ← 2 points from the table
m = = 2.5
Hence
The slopes of g(x) and f(x) are both m = 2.5, thus
The functions increase at the same rate → C
2.40+2.20=4.60
9-4.60=4.40
Patricia has $4.40 left to spend (or save)