Answer:
Slope = -7/2
y intercept = -91/4
Step-by-step explanation:
Given the line
x =
-
y
We know that in the equation y = mx + c, m is slope and c is y intercept,
So bring the given equation to above form,
x =
-
y
x = 
14x = -91 -4y
4y = -14x-91
y =

comparing above equation with y= mx+c
slope, m =
= 
y intercept, c = 
Answer:
50%
Step-by-step explanation:
The only numbers that are multiples of 2 are all even numbers. From 1 to 10 there are a total of 5 even numbers, meaning that only 5 sections are multiples of 2. Therefore, the probability of the arrow landing in a section that is labeled with a number that is a multiple of 2 would be
5/10 if we simplify this it would be 1/2 or 50%
Finally, we can say that the probability of the arrow landing on one of these sections is 50%
Answer:
Step-by-step explanation:
The similar triangles are shown in the attached photo.
Triangle ABC is similar to triangle XZY. Therefore,
AB/XZ = BC/ZY = AC/XY
From the dimensions given,
(x-8)/45 = (2x - 8)/24
Cross multiplying,
24(x-8) = 45(2x - 8)
24x - 192 = 90x - 360
Collecting like terms and making the terms containing the variable, x be on the left hand side and the constants be on the right hand side,
24x - 90x = -360+92
-66x = -268
x = 268/66
x = 4.06
x = 4
Hello from MrBillDoesMath!
Answer:
Cchoice B is the correct answer.
Discussion:
As stated by an earlier respondent, choice B is the correct answer. But why?
From the diagram, point B lies between 0 and 1 which means B is positive
From the diagram, point C lies between -1 and -2 which means C is negative
The quotient of a negative number by a positive number is negative, giving the answer as choice c
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
Remark
Forget the Gamestop. I'd never use it. This one is on the house.
Solution
2.5(10 - x) + 10 = 72 - 1.5x*(5x + 12) The first step is to remove the brackets. Be very careful you understand the bracket on the right.
25 - 2.5x + 10 = 72 - 7.5x - 18 Study the signs carefully. Collect like terms.
35 - 2.5x = 54 - 7.5x Add 7.5x to both sides.
35 - 2.5x + 7.5x = 54 - 7.5x + 7.5x
35 + 5x = 54 Subtract 35 from both sides.
5x = 19 Divide by 5
x = 19/5
x = 3 4/5 = 3.8
Check
When you numbers are so cumbersome, you should check the answer.
<em><u>LHS</u></em>
2.5(10 - 3.8) + 10
2.5(6.2) + 10
15.5 + 10
25.5
<em><u>RHS</u></em>
72 - 1.5(5*3.8 +12)
72 - 1.5(19 + 12)
72 - 1.5(31)
72 - 46.5
25.5
<em><u>RHS = LHS</u></em> The solution checks.