Answer: They sold 68 tickets at the door
688-920= -2x= -232
2x=232/2=116
184-116=68
Answer:
5 carnations in each arrangement
Total of 60 carnations used
Step-by-step explanation:
First calculate how many flowers are in each arrangement by dividing the total number of flowers by the number of arrangements:
96 ÷ 12 = 8
Given each arrangement has 3 roses, subtract 3 from 8 to find the number of carnations in each arrangement:
8 - 3 = 5
Therefore, there are 5 carnations in each arrangement
Total number of carnations used = 5 x 12 = 60
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]}
Answer:
3:2
Step-by-step explanation:
can also be written as 3/2 as a fraction!