Answer:
y = -1/2x - 2
Step-by-step explanation:
The line is negative, so the slope has to be negative. (-1/2)
You would use the equation to find the first point to plot. -1/2 times 0 is 0. 0-2 equals -2. This means that the first point would be (0,-2). This proves that the correct equation is <u><em>y = -1/2x - 2</em></u>.
Let total amount spent =x
Dita spent 35 % of total amount.
35% of x = 0.35x
So amount spent by Dita = 0.35x
% of money spent by Benton = 20 % of x = 0.2x
We are given that Benton spent $12 more than Claire,
so making equation we have ,
Money spent by Dita = Money spent by Claire +12



x=80
So total amount spent was $80.
Money spent by Benton = 0.2x = 0.2 * 80= $16
So amount spent by Benton is $16.
You would answer this question using simultaneous equations, so if m is movies and v is video games, then:
9m + 7v = 65
3m + 5v = 37
9m + 7v = 65
9m + 15v = 111
(minus)
-8v = -46
÷ -8
v = $5.75
Then you can substitute the value of V in to find the value of m, so:
3m + (5 × 5.75) = 37
3m + 28.75 = 37
- 28.75
3m = 8.25
÷ 3
m = 2.75
So you get the answers as Video Games are $5.75 each and Movies are $2.75 each, I hope this helps!
Answer:
The correct length is <em>34 feet</em>.
Step-by-step explanation:
Let us assume that the wall created is a rectangle <em>ABCD</em> as shown in the attached image.
We know that opposite sides of a rectangle are equal.
<em>Perimeter</em> of a <em>closed figure is calculated by adding all the sides of the figure</em>.
Here, from the figure, the perimeter is : AB + BC + CD + DA
AB and CD are equal to length.
BC and DA are equal to width.
So,

Here, we are given that <em>perimeter </em>is 100 feet and <em>width</em> = 16 feet
Putting values in equation (1):

Hence, length is 34 feet.
Answer:
-16,-6,4,14,24
Step-by-step explanation:
First thing first, we need to alter this equation is y is the value we are fining. we can do this by adding 10x to both sides. our new equation is
y=10x+4
Now, all we have to do is plug in out x values in order to get our y values and complete the table.
Example, 10x2 is 20 and 20+4 is 24 so when x is 2, y is 24