Answer: 27/36
Step-by-step explanation: It says there are 36 bikes (18 pairs), meaning that there are 2 bikes per pair because 18 multiplied by 2 is 36.
1 pair (2 bikes) are yellow.
3 pairs (6 bikes) are red.
For purple, add yellow and red together: 2 + 6 = 8. Subtract the total number of bikes from this: 36 - 8 = 28 purple bikes.
If you take out 1 purple bike, this leaves you with 27. The probability of choosing a purple bike out of the total (36), is 27/36.
Please let me know if this is correct or wrong.
Answer:
graph{3x+5 [-10, 10, -5, 5]}
x
intercept:
x
=
−
5
3
y
intercept:
y
=
5
Explanation:
For a linear graph, the quickest way to sketch the function is to determine the
x
and
y
intercepts and draw a line between the two: this line is our graph.
Let's calculate the
y
intercept first:
With any function,
y
intercepts where
x
=
0
.
Therefore, substituting
x
=
0
into the equation, we get:
y
=
3
⋅
0
+
5
y
=
5
Therefore, the
y
intercept cuts through the point (0,5)
Let's calculate the
x
intercept next:
Recall that with any function:
y
intercepts where
x
=
0
.
The opposite is also true: with any function
x
intercepts where
y
=
0
.
If we substitute
y
=
0
, we get:
0
=
3
x
+
5
Let's now rearrange and solve for
x
to calculate the
x
intercept.
−
5
=
3
x
−
5
3
=
x
Therefore, the
x
intercept cuts through the point
(
−
5
3
,
0
)
.
Now we have both the
x
and
y
intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them
The graph of the function
y
=
3
x
+
5
:
graph{3x+5 [-10, 10, -5, 5]}
First, set 2x+7 equal to 3x-7 since they are the same angle due to the parallel lines.
2x+7=3x-7
x=14
Then, since 2x+7 and 12y+1 equals 180, put it together to find y:
(2x+7)+(12y+1)=180
(2(14)+7)+(12y+1)=180
12y+1=145
12y=144
y=12
So, x=14 and y=12. Your answer should be C!
Answer:
<h2>10</h2>
Step-by-step explanation:
Given the expression
. To find the product of this two values, the following steps must be followed.
According to one of the law of indices, 

The product is 10
The correct answer is is y=2x