Sienna shares half of a pizza equally among herself and 3 friends. What fraction of the whole pizza will each friend get? *

Solve the system of equations algebraically.

lubasha [3.4K]

Answer:

Option (d) is correct.

(1, 0) is the solution of the given system of equation.

Step-by-step explanation:

Consider the given system of equation

4x - 2y = 4 ........(1)

6x - 4y = 6 ........(2)

We have to solve the system algebraically ,

We will solve it by elimination method,

Multiply equation (1) by 2, we get,

(1) ⇒ 8x - 4y = 8 ............(3)

Subtract equation (2) from (3) , we get,

8x - 4y - (6x - 4y) = 8 - 6

8x - 4y - 6x + 4y = 2

8x - 6x = 2

⇒ x = 1

Substitute x = 1 in (1) and solve for y , we get,

⇒ 4x - 2y = 4 ⇒ 4 (1) - 2y = 4 ⇒ 2y = 4 - 4 ⇒ 2y = 0 ⇒ y = 0

Thus, (1, 0) is the solution of the given system of equation.

Option (d) is correct.

4 0

3 years ago

Read 2 more answers

What percent of 320 is 64

jekas [21]

Answer: If you are using a calculator, simply enter 64÷320×100 which will give you 20 as the answer.

Step-by-step explanation: Hope it helps:)

and tryna mark a child brainlest ;)

3 0

3 years ago

Read 2 more answers

Felix joins a local recreation center to play basketball.The recreation center charges a $20 annual fee, plus an additional $15

Sav [38]

Answer:

11 months

Step-by-step explanation:

185 - 20 = 165

165 ÷ 15 = 11

8 0

2 years ago

What is the equation for the line of reflection that maps the trapezoid onto itself? Enter your answer in the box______

nadezda [96]

Y = -1

It is an isosceles trapezoid, which is just as well, otherwise it could not reflect onto itself. The line of reflection is the same as the mirror line which is the same as the axis of symmetry.

It runs horizontally exactly through the middle of the shape.

All horizontal lines have the equation y = a value

In this case the line is y=−1

6 0

4 years ago

You start driving north for 16 miles, turn right, and drive east for another 30 miles. At the end of driving, what is your strai

Maru [420]

The distance between starting and ending point is 34 miles.

Step-by-step explanation:

Given,

Car moves 16 miles to north then 30 mile to east.

It forms a right angle triangle.

The straight line distance from starting to ending point represents hypotenuse.

To find the distance between starting and ending point.

Formula

By Pythagoras theorem,

h² = b²+l² where h is the hypotenuse, b is base and l is the another side.

Taking, b=16 and l=30 we get,

h² = 16²+30²

or, h = $\sqrt{256+900}$

or, h = $\sqrt{1156}$ = 34

Hence,

The distance between starting and ending point is 34 miles.

5 0

3 years ago