Answer:
27
Step-by-step explanation:
since you are adding 3 to the pile each time, on the 6th pile you would have 27 because 24 + 3 = 27
Simplify
3
x
2
−
x
3
x
2
-
x
.
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x
2
=
x
10
−
4
5
x
2
=
x
10
-
4
5
Move all terms containing
x
x
to the left side of the equation.
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2
x
5
=
−
4
5
2
x
5
=
-
4
5
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
2
x
=
−
4
2
x
=
-
4
Divide each term by
2
2
and simplify.
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x
=
−
2
The answer is 26.19. It’s 100% right.
Answer:
A.
Step-by-step explanation:
<h3>Step 1: Definition</h3>
The parent function of is translated to the left when is positive in the transformation .
If is negative, the graph translates towards the left with the distance equal to the value of .
<h3>Step 2: Implementation</h3>
Here the graph moved 3 units towards the right. This means that is negative and has the value of 3.
So, plugging that into the parent function for translation, the function becomes:
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! :)