5x+3y=39
x+y=3

*ELIMINATION METHOD *

Answers

Answer 1
Answer: 5x+3y=39
x+y=3
we will eliminate the y terms first
multiply bottom equation by -3
-3x-3y=-9
add this to the first equation
5x-3x+3y-3y=39-9
2x+0=30
divide both sdies by 2
x=15

subsitute into second equation
x+y=3
15+y=3
subtract 15 from both sdies
y=-12

x=15
y=-12

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If the floor of a square office is 225 square units, what is the perimeter of the office?

Answers

The perimeter of an office whose floor area is 225 square units is 60 units

Further Explanation

Area

  • Area is a measure of how much space is occupied by a given shape.
  • Area of a substance is determined by the type of shape in question.

For example;

  • Area of a rectangle is given by; Length multiplied by width
  • Area of a triangle = 1/2 x base x height
  • Area of a circle = πr². where r is the radius of a circle,
  • Area of a square = S², Where s is the side of the square.etc.

Perimeter

  • Perimeter is defined as the distance along a two dimension shape.  Perimeter of different shapes is given by different formulas

For example;

  • The perimeter of a rectangle = 2(length+width)
  • The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.

In this case;

We are given the area of a square as 225 square units

Therefore; since the area of a square is given as s², where s is the side of the square.

Then; s² = 225

         s = √ 225

             = 15 units

But Perimeter of a square is given by; 4 × s

Thus; Perimeter = 4 × 15 units

                           = 60 units

Keywords; Perimeter, Area

Learn more about;

Level: Middle school

Subject; Mathematics

Topic: Area and Perimeter

Square have 4 equal sides length = a

A = 255 
A = a^2

255 = a^2   |sqrt
15 = a

P = 4a 
P = 4*15 = 60

−1 1/2−(+3 1/2)−(−5/8)

Answers

Answer:

-35/8

Step-by-step explanation:

−1 1/2−(3 1/2)−(−5/8)

Convert all fractions into improper fractions:

- 3/2 - (7/2) - (-5/8)

Make all denominators:

(-3*4)/(2*4)

-12/8 - ((7*4)/(2*4)) - (-5/8)

-12/8 - ((28)/(8)) + 5/8

-35/8

A car salesman earns a base salary plus commission for every car he sells. The expression shows the amount a salesperson earns, if he sells x cars in a month.2,000 + 1,000x

How much does he earn for each car sold?

A) $0
B) $1,000
C) $2,000
D) $3,000

Answers

The answer is 2,000.

The car salesman makes a base salary of $2,000. He also gets $1,000 for every car he sells. And it asks us, "How much does he earn for each car sold?"
 
The variable x is how many cars he sold. In this one.

Now the equation is this: 2000 + 1000(1)
Now solve.
2000 = 1000(1) = 2000 + 1000 = 3000

So our car salesman would have made $3,000 in a month.

Four equivalent expressions for 90+21

Answers

All of the expressions must equal 111.

So it could be 91 + 20, 68 + 43, 45 + 66, 75 + 36, etc.

Final answer:

The four equivalent expressions for 90 + 21 can be represented as separate sums, number line jumps, or real world problems, all of which equal 111.

Explanation:

The student has asked for four equivalent expressions for 90 + 21. Here are four possible representations:

  • Adding the subsequent numbers in a sequence where the numbers are 90 and 21, which simplifies to 111.
  • Calculating the total value of two separate groups, one of 90 and another of 21, which when combined gives 111.
  • A number line representation where one starts at position zero and makes two jumps, one of 90 units and a second jump of 21 units, which lands at 111.
  • A real-world problem where one has 90 of something and is given 21 more, resulting in a total of 111.

Learn more about Math here:

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What percentage did you tip if your lunch was $5 and you left $1

Answers

well 20% of $5 is $1 so u paid a 20% tip

Pleaseee helpppp asapppp tysmmm <3

Answers

Answer:

Really I mean just ugh really 3 gallons is by far the biggest

Step-by-step explanation:

16 cups are one gallon

3 fluid ounces is 0.37 cups

Please for the love of God actually learn this don't just cheat your way to an A

Oh and a teaching lesson

8 fluid ounces is rounded up to a cup

2 cups make a pint

2 pints make a quart

2 quarts make half a gallon

2 half gallons make a gallon