What is the solution to the system of equations?

Mathematics

2 answers:

blagie [28]3 years ago

6 0

In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations.

Sphinxa [80]3 years ago

6 0

The solution is (0,2)

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Eric’s average income for the first 4 months of the year is $1,450.25, what must be his

drek231 [11]

Answer:

Average income of Eric for the remaining 8 months = $\$1946$

Step-by-step explanation:

Given: Average income of Eric for the first 4 months of the year is equal to $1,450.25

To find: average income for the remaining 8 months so that his average income for the year is $1,780.75

Solution:

Average income = Total income for the year/Total number of months

Average income of Eric for the first 4 months = $1,450.25

So,

Total income of Eric for the first 4 months = 1,450.25 × 4 = 5801

Let x denotes total income of Eric for the remaining 8 months

Total income for the year = 5801 + x

Therefore,

Average income for the year = $\frac{5801+x}{12}$

Also, average income for the year is $1,780.75

$1780.75=\frac{5801+x}{12}\\1780.75\times 12=5801+x\\21369=5801+x\\21369-5801=x\\15568=x$

Total income of Eric for the remaining 8 months = $15568

Average income of Eric for the remaining 8 months = $\frac{15568}{8}=\$1946$

7 0

3 years ago

I need help on number 3

MatroZZZ [7]

The first step is to turn the 3 1/5 into an improper fraction, and then change it so that the denominator is 10, just like the 4/10, I'm order to make it easier to divide. then you divide 32 by 4 to get 8.