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DiKsa [7]
3 years ago
5

The number of people waiting in a line to buy tickets x minutes after a ticket booth opened is given by the expression 70−5x .

Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

the number if people in line when the booth opened.

Step-by-step explanation:

70-5x: the number goes down by 5 people per minute. So for example if it has been 10 minutes, 50 people would’ve been given their tickets.

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If y = 9x - 7, which of the following sets represents possible inputs and outputs of the
Lubov Fominskaja [6]
If y = 9x - 7, which of the following sets represents possible inputs and outputs of the
function, represented as ordered pairs?
{(7,9), (8, 10), (9, 11)}
{(0, -7), (1, 2), (-1, -16)}
{(1,9), (2,7), (3, 16)}
{(-7,0), (2, 1), (-16, -1)}

The answer is b {(0,-7), (1,2), (-1,-16)}
8 0
3 years ago
The length of a rectangle is 1 less than twice the width.
vladimir1956 [14]

w-width\\2w-1-length\\w(2w-1)=2w^2-w-the\ area\\28\ ft^2-the\ area\\\\\text{The equation:}\\\\2w^2-w=28\qquad\text{subtract 28 from both sides}\\\\2w^2-w-28=0\\\\2w^2-8w+7w-28=0\\\\2w(w-4)+7(w-4)=0\\\\(w-4)(2w+7)=0\iff w-4=0\ \vee\ 2w+7=0\\\\w-4=0\qquad\text{add 4 to both sides}\\\boxed{w=4}\\\\2w+7=0\qquad\text{subtract 7 from both sides}\\2w=-7\qquad\text{divide both sides by 2}\\w=-3.5

7 0
3 years ago
Read 2 more answers
−24 = −0.6k can you slove this answer
Kruka [31]

Answer:

-24 = -0.6k

k=-24/-0.6

k=40

Let me know if this helps!

5 0
3 years ago
Solve the equation:<br><br> a) -3 = 7+2t/3<br><br> b) 4(5x-2) = 7(2x+3) <br><br> c) 2x-6 = 30-2.5x
Umnica [9.8K]
Let's start by solving the first equation.

a) -3 = 7 + 2t/3 
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8


Now let's move on to the next equation.

b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21

Now, lets subtract 14x from both sides of the equation.

6x - 8 = 21

Next, let's add 8 to both sides of the equation.

6x = 29

And divide both sides by the coefficient of x, which is 6.

x = 29/6 or 4 5/6

Now for the last equation.

C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9

Hope this helps! :)
7 0
3 years ago
Gavin and Caleb go to the movie theater and purchase refreshments for their friends. Gavin spends a total of $22.25 on 2 bags of
gavmur [86]

Answer:

Drinks = 6.75

Popcorn= 1

Step-by-step explanation:

Let the popcorn = P

Let the drink = D

2*P + 3*D = 22.25         multiply this equation by 6

12*P + 4D = 39.00

<u>12P + 18D = 133.5</u>          Subtract these two equations

- 14D = - 94.50               Divide by -14

-14D/-14 = -94.5/-14        Do the division

D = 6.75

=========================

12P  +  4D = 39            Substitute for D

12P + 4*6.75 = 39        Combine

12P + 27 = 39               Subtract 27 from both sides

12P + 27-27=39-27      Collect like terms

12P = 12                        Divide by 12

12P/12 = 12/12

P = 1                               Answer

8 0
3 years ago
Read 2 more answers
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