Do you take the free samples offered in super- markets? About 70% of all customers will take free samples. Furthermore, of those
1 answer:
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Answer:
Eli has saved $10
Step-by-step explanation:
Let us use the first letters of their names to represent them.
A for Angela and E for ELi
So, from the first statement, we can write out an equation: E = A + 8, that is, <em>one-third of Angela's savings + $8 will give us Eli's savings</em>
From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that <em>if $10 is added to both their savings, Eli will still have $4 more than Angela.</em>
So, we can solve both equations;
Equation 1: E = A + 8
Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14
and then E = A + 4
The two equations (in bold), can then be solved simultaneously.
Let us carry out this operation to <u>eliminate the E:</u> Subtract equation 1 from equation 2, so that;
A + 4 - ( A + 8) = E - E
A - 4 = 0
A = 4
A = 4 × = 6
So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10
So, Eli has saved $10, while Angela has saved $6.
If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.
The numbers of new CDs is 30 and the old CDs is 21.
To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.
<h3>System of Equations</h3>This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;
- Let n represents numbers of new CDs
- Let u represents numbers of old CDs
The equations can be represented as
Let's take equation (i)
Making n the subject of formula
we can put equation (iii) into equation (ii)
Let's put the value of u into equation (i)
From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.
Learn more on system of equations here;
Answer:
RS ≈ 5.83 units
Step-by-step explanation:
Calculate RS using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = R(- 3, 1) and (x₂, y₂ ) = S(2, 4)
RS =
=
=
= ≈ 5.83 ( to 3 significant figures )