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Sophie [7]
2 years ago
15

State whether the lines are parallel, perpendicular, coinciding, or neither y=0.3x+40 and y=-3 1/3x+15

Mathematics
1 answer:
aksik [14]2 years ago
7 0

Answer:

Perpendicular

Step-by-step explanation:

The slope of the first equation is 0.3 = 3/10

You need the opposite sign of the reciprocal for perpendicular

10/3 is reciprocal, 3 1/3 is equivalent, - 3 1/3 is perpendicular

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Dan's school is selling tickets to a play. On
katrin [286]

Answer: $9.50

Step-by-step explanation:Let's define the variables:

A = price of one adult ticket.

S = price of one student ticket.

We know that:

"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."

1*A + 6*S = $69

"The school took in $150 on the second day by selling 7 adult tickets and student tickets"

7*A + 7*S = $150

Then we have a system of equations:

A + 6*S = $69

7*A + 7*S = $150.

To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:

A = $69 - 6*S

Now let's replace this in the other equation:

7*($69 - 6*S) + 7*S = $150

Now we can solve this for S.

$483 - 42*S + 7*S = $150

$483 - 35*S = $150

$483 - $150 = 35*S

$333 = 35*S

$333/35 = S

$9.51 = S

That we could round to $9.50

That is the price of one student ticket.

4 0
2 years ago
3(x+y)=y
andrew-mc [135]

3(x+y)=y

y is not equal to zero

*Solution  

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,  

                       3(x+y) = y

                     3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                             3x = -2y

Dividing both sides of the equation by 3,  

                               x = (-2/3)y

Dividing both sides of the equation by y,  

                             x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.  

                             

6 0
3 years ago
50 points i need to know how to plot these
svetlana [45]

x is time and y is pencils that you have

'starts with 90' so at x=0, plot y=90

'gives away 15 every hour' so for every 1 hour, move 15 down on y

so at x=1, do 90-15=75 pencils

at x=2, do 75-15=60 pencils

etc

until you get to

x=6, do 15-15=0 pencils then stop because you can't give away 15 pencils when you have 0

see attachment for plot

I don't know how your segment tool works so you do it

if it draws a line, you only need 2 points, just do when x=0, y=90 and when x=6, y=0

5 0
2 years ago
For which value(s) of x will the rational expression below equal zero? Check all that apply.
geniusboy [140]

Answer:

x = 5 and -2

Step-by-step explanation:

Given the function of x to be;

f(x) = (x-5)(x+2)/x+1

The value of x that will make the function zero can be calculated for by equating the given function to zero first to have;

If f(x) = 0, then;

(x-5)(x+2)/x+1 = 0

Cross multiplying;

(x-5)(x+2) = 0

(x-5) = 0 and x+2 = 0

x = 5 and x = -2

The value of x that will make the function zero is therefore 5 and -2

4 0
3 years ago
Read 2 more answers
5) In a urea manufacturing plan, all employees work a basic week of 40 hours. Ay overtime worked during weekdays is paid for at
Mkey [24]

Answer: $‭1,135.15‬

Step-by-step explanation:

First calculate his basic pay;

= 40 * 14.60

= $584

Total for overtime worked during the week;

= 15 * 14.60 * 1.25

= $‭273.75‬

Total for overtime worked on Saturday;

= 6 * 14.60 * 1.5

= $131.40

Total for overtime worked on Sunday;

= 5 * 14.60 * 2

= $146

Sum all the figures;

= 584 + 273.75 + 131.40 + 146

= $‭1,135.15‬

3 0
2 years ago
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