Answer:
The amount each took home was 20 unit currency.
Step-by-step explanation:
We are given that Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140 apples, went to market and sold all their apples at the same price, and each received the same sum of money.
Formula :
,
,
,
,
,
, 







On solving :
n = 7, a = 2, b = 3
So,






Based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount :
2×1 + 6×3 = 20
5×1 + 5×3=20
8×1 + 4×3 = 20
11×1 + 3×3 = 20
14×1 + 2×3 = 20
17×1 + 1×3 = 20
20×1 = 20
Therefore, the amount each took home was 20 unit currency.
Answer:
Step-by-step explanation:
y= -3/4x+3
Answer:
(12, -6)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4x = y - 42
x = 18 + y
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: -4(18 + y) = y - 42
- Distribute -4: -72 - 4y = y - 42
- [Addition Property of Equality] Add 4y on both sides: -72 = 5y - 42
- [Addition Property of Equality] Add 42 on both sides: -30 = 5y
- [Division Property of Equality] Divide 5 on both sides: -6 = y
- Rewrite/Rearrange: y = -6
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = 18 + y
- Substitute in <em>y</em>: x = 18 - 6
- Subtract: x = 12
Answer: The monthly payment assuming that each month he paid the same amount is = 362.5 $
Step-by-step explanation:
Given data,
Johnny bought a used car for $7,500
He had $4600 and borrowed the rest from his parents.
Johnny 8 months to pay back the money he borrowed
So, we can write ,
Let us assume, x1 = $7,500 and x2 = $4600
Based on the given conditions,
we use formula is :
x = ( x1 - x2 ) / pay back months
x = ( 7,500 - 4,600 ) / 8
we can subtract the values,
we can write,
x = 2900/8
x = 725/2
x = 362.5 $
Therefore,
The monthly payment assuming that each month he paid the same amount is = 362.5 $.
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