Sarah was solving an equation for her Algebra

patriot [66]

Answer:

3,750 cars.

Step-by-step explanation:

We are given that the equation:

$y=9000-2.4x$

Models the relationsip between y, the number of unfilled seats in the stadium, and x, the number of cars in the parking lot.

We want to determine the number of cars in the parking lot when there are no unfilled seats in the stadium.

When there are no unfilled seats in the stadium, y = 0. Thus:

$0=9000-2.4x$

Solve for x. Subtract 9000 from both sides:

$-2.4x=-9000$

Divide both sides by -2.4:

$x=3750$

So, there will be 3,750 cars in the parking lot when there are no unfilled seats in the stadium.

4 0

3 years ago

Sam wanted to buy candy for all of his friends to share at lunch. One pound of chocolates cost $6.95, but Sim only needs 0.6 of

OLga [1]

Answer:

The answer to your question is cost of 0.6 pound of candy $4.17

Step-by-step explanation:

Data

1 pound of candy = $6.95

only 0.6 pounds

final cost = ?

Process

1.- Use proportions to find the cost of 0.6 pounds of candy

1 pound of candy -------------- $6.95

0.6 pound of candy ---------- x

2.- Use cross multiplication

x = (0.6 x 6.95) / 1

3.- Simplification and result

x = $ 4.17

5 0

4 years ago

The area of a triangle is the product of the base of the triangle times the height of the triangle, divided by two.

trasher [3.6K]

Answer:

Step-by-step explanation:

Almost correct. I'd write this statement as follows:

"The area of a triangle is the product of the base and height of the triangle, divided by two."

or...

"The area of a triangle is half the product of the base and height."

3 0

3 years ago

Suppose a bag contains 7 blue chips ad 3 gold chips.What is the probability of randomly choosing a gold chip,not replacing it,an

castortr0y [4]

$|\Omega|=10\cdot9=90\\ |A|=3\cdot2=6\\\\ P(A)=\dfrac{6}{90}=\dfrac{1}{15}\approx7\%$

6 0

3 years ago

What is an equation of the line that passes through the point (3,6)(3,6) and is parallel to the line 4x-3y=214x−3y=21?

polet [3.4K]

Question:

What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21

Answer:

The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:

$y = \frac{4}{3}x + 2$

Solution:

Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

Given equation is:

4x - 3y = 21

Rearrange,

3y = 4x - 21

$y = \frac{4}{3}x - \frac{21}{3}\\\\y = \frac{4}{3}x - 7$

On comparing above equation with eqn 1,

$m = \frac{4}{3}$

We know that slopes of parallel lines are same

Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3

Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1

$6 = \frac{4}{3} \times 3 + c\\\\6 = 4 + c\\\\c = 2$

Substitute c = 2 and m = 4/3 in eqn 1

$y = \frac{4}{3}x + 2$

Thus the equation of line is found

4 0

4 years ago