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3 years ago

If Ryan paid $63 for shoes that were regularly priced at $90, what was the percent discount of the

Mathematics

1 answer:

Ray Of Light [21]3 years ago

7 0

Answer:

30% off

Step-by-step explanation:

63 is 70% of 90 which means that 30 percent of the price is off.

Please mark me brainliest. I need it. Hope this helps

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Examine the system of equations. y = 3 2 x − 6, y = −9 2 x + 21 Use substitution to solve the system of equations. What is the v

nadezda [96]

Answer:

Step-by-step explanation:

Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;

3/2 x − 6 = −9/2 x + 21,

Cross multiplying;

3(2x+21) = -9(2x-6)

6x+63 = -18x+54

collecting the like terms;

6x+18x = 54-63

24x = -9

x = -9/24

x = -3/8

To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;

y = 3/2x-6

y = 3/{2(-3/8)-6}

y = 3/{(-3/4-6)}

y = 3/{(-3-24)/4}

y = 3/(-27/4)

y = 3 * -4/27

y = -4/9

Hence, the value of y is -4/9

4 0

3 years ago

Read 2 more answers

What is the solution of 3/x+8 = -4?<br> 20

Evgen [1.6K]

Answer:

x = -1/4

Step-by-step explanation:

3/x = -4 - 8

3/x = -12

x= -3/12

x= -1/4

5 0

3 years ago

Could someone help?<br> Thank you

frozen [14]

Answer:

See Below

Step-by-step explanation:

Thankfully, all the parts you need are given.

First, find the surface of one triangle

A = 1/2bh

A = 1/2(15)(9)

A = 1/2(135)

A = 67.5

Multiply by 4 to get the sum of all the sides.

67.5(4) = 270

Now find the surface area of one square

A = bh

A = (15)(15)

A = 225

multiply by 5 to get all 5 sides

225(5) = 1125

Add sums together

1125 + 270 = 1395

3 0

3 years ago

One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).

lesya692 [45]

Answer:

$(-x+2, -\frac{1}{2}y-4})$

Step-by-step explanation:

We know that one of the endpoints of the line segment is (x+4, 1/2y)

The midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.

To do so, we can use the midpoint formula:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Since we know that the midpoint is (3, -2), let's substitute that for M:

$(3, -2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Let's solve for each coordinate individually:

X-Coordinate:

We have:

$3=\frac{x_1+x_2}{2}$

We know that one of the endpoints is (x+4, 1/2y). So, let's let (x+4, 1/2y) be our (x₁, y₁). Substitute x+4 for x₁. This yields:

$3=\frac{(x+4)+x_2}{2}$

Solve for our second x-coordinate x₂. Multiply both sides by 2:

$6=x+4+x_2$

Subtract 4 from both sides:

$2=x+x_2$

Subtract x from both sides. Therefore, the x-coordinate of our second point is:

$x_2=-x+2$

Y-Coordinate:

We have:

$-2=\frac{y_1+y_2}{2}$

Substitute 1/2y for y₁. This yields:

$-2=\frac{\frac{1}{2}y+y_2}{2}$

Solve for y₂. Multiply both sides by 2:

$-4=\frac{1}{2}y+y_2$

Subtract 1/2y from both sides. So:

$y_2=-\frac{1}{2}y-4$

Therefore, the other coordinate expressed in terms of x and y is:

$(-x+2, -\frac{1}{2}y-4})$

3 0

3 years ago

If y > 2x + 12 , then what does y equal?

mario62 [17]

You would have to put this into a graph correct? Because if so, just put a point on the 12 on the y - axis and go up 2 and right 1 spot and place another dot. Then you will have correctly graphed the equation.

6 0

3 years ago

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