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3 years ago

christen made $987 in tips last year $5,891 in wages and earned $786 in interest income what was her gross income lat year.

Mathematics

1 answer:

stiks02 [169]3 years ago

6 0

Her gross Income was $7664

with gross Income just add up every dollar she earns NEVER WHAT SHE SPENDS

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A town is planning a playground. It wants to fence in a rectangular space using an existing wall. What is the greatest area it c

777dan777 [17]

Answer:

1250 $ft^{2}$

Step-by-step explanation:

We are given that the playground is fenced on three sides of the playground and the four side has an existing wall.

Let the length of the rectangle be 'X' feet and width be 'Y' feet.

As the fencing is done using 100 feet of fence. We get the relation between the sides and the fence as, X + 2Y = 100.

As, X + 2Y = 100 → X = 100 - 2Y

Now, the area of the rectangle = XY = X × ( 100 - 2Y ).

i.e Area of the rectangle = $-2Y^{2} +100Y$ .

The general form of a quadratic equation is $y=ax^{2}+bx+c$ .

The maximum value of a quadratic equation is given by $x=\frac{-b}{2a}$ .

Therefore, the greatest value of $-2Y^{2} +100Y$ is at Y = $\frac{-100}{2 \times -2}$ = $\frac{-100}{-4}$ = 25.

Thus, Y = 25 and X = 100 - 2Y → X = 100 - 2 × 25 → X = 50.

Hence, the area of the rectangle is XY = 50 × 25 = 1250 $ft^{2}$ .

3 0

3 years ago

Can someone help me understand 1-6 pls

stiks02 [169]

Answer:

Take a look at my notes. I hope this helps.

7 0

3 years ago

What is the degree of the polynomials below <br> 2x^7+4-3x^3+5x^8-4x

Nikolay [14]

The Answer should be 8

7 0

2 years ago

A mole of 1 gallon cans of paint could cover every square inch of the surface of how many planets the size of the earth?

Nady [450]

Answer:

The answer is $4.4*10^1^0 planets$

Step-by-step explanation:

We ll have to find more information first to solve this question.

1. One mole = 6.022 x 10^23

Assuming one gallon of paint covers the 400 sq ft of area.

Thus total area which can be covered by 1 mole of gallon is

$=6.022*10^2^3 * 400\\=2.40*10^2^6$

2. Now we will find the surface area of earth

$Area = 4\pi R^2$

The radius of earth is 2.1 x 10^7 Feet

substituting values

$Area = 4*3.14*(2.1*10^7)^2\\Area = 5.5*10^1^5ft^2$

3. Now we will find out the number of planets of earth size which can be covered by mole of gallon of paint

= Total area one mole of gallon can cover / area of earth

$= 2.40 * 10^2^6/5.5*10^1^5\\=4.4*10^1^0 planets$

6 0

4 years ago

The price for gasoline is represented by the equation y = 2.72x, where y r represents the total price for x gallons of gasoline

Kipish [7]

Answer:

Statement A is TRUE.

Given an x value of 15, y would be ;

= 2.72 * 15

= 40.8

Coordinates would therefore be (15, 40.8)

Statement B is FALSE.

The coordinates of Y given are impossible given the coordinates of X. In this scenario, Y must always be greater than X as a result of the equation.

Statement C is TRUE.

The slope in the equation takes the form of the $2.72 price being charged per gallon of gasoline such that the total price of x gallons can be calculated by multiplying the number of gallons by $2.72

Statement D is FALSE.

If the price of gasoline were to decrease by $0.03, the slope would become 2.69 not 2.75. 2.75 would be the new slope if the price had increased by $0.03 instead of decreased.

7 0

3 years ago