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3 years ago

How do you simplify y=3/4x-20

Mathematics

1 answer:

Setler [38]3 years ago

5 0

Answer:

It's already simplified. The question might be asking you to find the slope or y intercept. The slope is 3/4 and the y intercept is - 20. Can't confirm though, as I don't know what the question was asking specifically.

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a) A battalion of soldiers wanted to have a parade forming a square design with 1,536 soldiers. Is it possible ? If not how many

Dmitrij [34]

A square with 1,536 soldiers are not possible, i.e. the square root of 1,536 is about 39.191, which means that 1,536 is not a square a number. In order for it to be a square number, we have to round up 39.191 (because it says "how many more soldiers") to 40 and 40×40=1,600 and 1,600-1,536, so we need 64 more soldiers.

The greatest 4 digit number is simple. If the square root of 10,000 is 100, than, one can assume that because 100-1=99, the resulting answer of 99×99 is less than 10,000, meaning that is is 4 digits. 99×99=9,801.

3 0

4 years ago

A cricular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b

Kitty [74]

Answer:

108°

Step-by-step explanation:

Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).

The sum of all interior angles of pentagon can be calculated using following formula

$(n-2)\cdot 180^{\circ},\\ \\(5-2)\cdot 180^{\circ}=3\cdot 180^{\circ}=540^{\circ}$

All interior angles in regular pentagon are of equal measure, so

$\dfrac{540^{\circ}}{5}=108^{\circ}$

Thus, the measure of each angle formed by the lights on the perimeter is 108°.

7 0

4 years ago

Charlie’s pizza charges $12 for a medium cheese pizza plus $2 for each additional topping. The cost of a medium pizza, y, with x

brilliants [131]

Answer:

<u>The correct answer is Graph A. It's the only graph with the right values for (x, y) within the Cartesian plane. </u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Amount that Charlie’s pizza charges for a medium cheese pizza = US$ 12

Amount that Charlie’s pizza charges for each additional topping = US$ 2

Cost of a medium pizza (y) with (x) toppings is represented by the equation:

y = 12 + 2x

2. Let's find the values for the equation:

When no toppings are added:

y = 12 + 2 * 0 = 12 + 0 = 12

When 1 topping is added:

y = 12 + 2 * 1 = 12 + 2 = 14

When 2 toppings are added:

y = 12 + 2 * 2 = 12 + 4 = 16

When 3 toppings are added:

y = 12 + 2 * 3 = 12 + 6 = 18

When 4 toppings are added:

y = 12 + 2 * 4 = 12 + 8 = 20

As we can see, the graph starts with the point (0, 12) and continues with (1, 14), (2, 16), (3, 18), (4, 20).

Graph B starts with the point (0, 4) and graph C with the point (0,6). They're incorrect. And graph D starts with (0, 12) but continues with (1, 13), (2, 14) (3, 15) and (4, 16), so this graph is also incorrect.

<u>The only graph with the right values for the Cartesian plane is Graph A.</u>

4 0

3 years ago

On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). a point is at (negative 3, 1). what is the equat

S_A_V [24]

The equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)

<h3>Equation of a line</h3>

A line is the distance between two points. The equation of a line in point-slope form is expressed as:

y - y0 = m(x-x0)

Given the coordinates (-2, -4) and (2, 2) on the line, the slope is expressed as:

Slope = 2-(-4)/2-(-2)

Slope = (6)/4

Slope = 3/2

Find the equation of the line

y -(1) = 3/2(x-(-3))

y - 1 = 3/2(x+3)

Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)

Learn more on equation of the line here: brainly.com/question/18831322

#SPJ1

3 0

2 years ago

What is the ratio for 3 feet to 42 inches in simplest form

Natali [406]

Answer:

3:3.5

Step-by-step explanation:

3 feet :42 inches

42 inches=3.5 feet

3 feet:3.5 feet

5 0

4 years ago