Maria has $2.43 in quarters and pennies in her wallet. She has twice as many pennies as quarters. How many coins of each type do
2 answers:
Given maria has in the pennies & quarters.
she has twice as many pennies as quarters.
find out the coins
let us assume the quarters are x
than the pennies are 2x.
Formula
value of the pennies + value of the quarters = total value of coins
1 quarters =$ 0.25
1 pennies = $0.01
Thus
0.25x + 0.01 (2x) = 2.43
0.27 x = 2.43
x = 9
2x = 18
i.e the number of quarters are 9 and the number of pennies are 18.
Hence proved
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Answer:
and
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Step-by-step explanation:
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Therefore, these two solutions mean that there are two points where both functions are equal, that is, when and
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So, the input values are and
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Answer:
Attached diagram A'B'C'D'
Step-by-step explanation:
Given is a quadrilateral ABCD. It says to draw a dilated version with a scale factor 2/3.
We see that scale factor is less than 1 which means it shrinks the image to a smaller one.
To draw a scaled copy, we need to find the lengths of its sides.
To do so, we can draw the diagonals AC & BD, and they intersect at origin O(0,0) such that OA= -2, OB= 2, OC= 4, OD= -4.
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Answer:
Height = 11 inches
Base = 33 inches
Step-by-step explanation:
In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.
From the question, we are told that height is 1/3 of base. This means that base is 3 times the height
So if we represent the height with variable h, then the base is 3h
Mathematically the area of a parallelogram can be calculated by the formula
A = bh
Thus ,
363 = h * 3h
3h^2 = 363
divide through by 3
h^2 = 121
h = √121
h = 11 inches
since b = 3h , then b = 3 * 11 = 33 inches
