A) p + n + d = 18
B) .01p + .05n + .10d = 1.14
C) 2p = d
Substituting C) into A)
A) p + n + 2p = 18 equals
A) 3p + n = 18
Substituting C) into B)
B) .01p + .05n + .10 *2p = 1.14
B) .01p + .05n + .2p = 1.14
B) .21p + .05n = 1.14
Taking equation A)
A) 3p + n = 18 and multiplying it by -.05
A) -.15p -.05n = -.90 Then adding this to B)
B) .21p + .05n = 1.14
.06p = .24
Therefore there are 4 pennies.
(I'll leave it to you to determine the nickels and dimes.)
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Oh what the heck, I'll finish it for you.
Looking at equation C)
C) 2p = d
We know there are 4 pennies so there are:
2 *4 = eight dimes
Looking at Equation A)
A) p + n + d = 18 we can fill in the pennies and the dimes:
A) 4 + n + 8 = 18
Therefore, there are 6 nickels.
Answer:
15.7 meters
Step-by-step explanation:
Applying,
s = πd∅/360°..................... Equation 1
Where s = length of the arc formed, d = diameter of the circle, ∅ = angle formed by the center of the circle, π = pie.
From the question,
Given: d = 15 meters, ∅ = 120°
Constant: π = 3.14
Substitute these values into equation 1
s = (3.14×15×120)/360
s = 15.7 meters
Hence the lenght of the arc formed is 15.7 meters
Answer:
See explanation
Step-by-step explanation:
Statement Reason
1. 
Given
2. 
Given
3. 
Parallelogram property (opposite sides are parallel and congruent)
4. 
Parallelogram property (opposite sides are parallel and congruent)
5. 
Reflexive property
6. 
SSS postulate
Answer:
1102.5 pounds of apples will be sold in a week.
Step-by-step explanation:
Amount of apples in each bag = 3.5 pounds
If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45
= 157.5 pounds
Number of days in a week = 7
Amount of apples sold in one week = Apples sold in a day × Number of days in a week
Amount of apples sold in 7 days = 157.5 × 7
= 1102.5 pounds
Therefore, amount of apples sold in a week = 1102.5 pounds
The answer would be five pints
