Answer:
Equation: 125 x 2 = x
250 ribbons
Step-by-step explanation:
We have to find the total number of ribbons used. Since Nell sold 125 packages of cookies and each package has 2 ribbons, we can make the equation 125 x 2 = x. Let x = the number of ribbons used in total. We multiply them to get 250. Therefore, 250 ribbons were used.
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Answer:
1. B. BD
2. C. 15
3. A. 2
Step-by-step explanation:
1. From the figure,
∠DAB = ∠DAC
Therefore, BD is the bisector of ∠ABC.
2. From the figure, IG = GH
3x = 5x - 10
10 = 5x - 3x
2x = 10
x = 5
So, GH = 5x - 10
= 5(5) - 10
= 25 - 10
= 15
Therefore, GH = 15.
3. From the figure,
∠DAB = ∠DAC
10y = 8y + 4
10y - 8y = 4
2y = 4
y = 2
Answer:
1.15 or ![\frac{15}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B13%7D)
Step-by-step explanation:
1. The slope can be found with this formula: ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
2. Let's plug in the numbers: ![\frac{14--1}{13-0}](https://tex.z-dn.net/?f=%5Cfrac%7B14--1%7D%7B13-0%7D)
4.
≈ 1.1538
1. Carl's constant rate of speed is the slope of the straight line graph.
This straight line passes through: (0,0), (5,1), (10,2) etc
We can use the slope formula with any two points to find the slope of this line.
The slope formula is
.
Let
and ![(x_2,y_2)=(5,1)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%285%2C1%29)
Then
,
.
Carl's speed is
miles per minute.
But we must leave our answer in miles per hour
Hence Carl's speed is
miles per hour
After 2 hours, Carl will travel
miles.
2. The given line has equation ![-4x+y=10](https://tex.z-dn.net/?f=-4x%2By%3D10)
We write this in slope-intercept form by solving for y.
![\implies y=4x+10](https://tex.z-dn.net/?f=%5Cimplies%20y%3D4x%2B10)
This is in the form
, where
is the slope.
When x=3, ![y=4(3)+10](https://tex.z-dn.net/?f=y%3D4%283%29%2B10)
![\implies y=12+10=22](https://tex.z-dn.net/?f=%5Cimplies%20y%3D12%2B10%3D22)
When x=3, y=22
3. The given straight line graph that models the situation passes through:
(0,0) and (20,30).
The slope of this line is
Therefore the rate is $ 15 per ticket.
If the theater sells 150 tickets, the earnings will be:
dollars.