Answer: Option D
Step-by-step explanation:
The equation of the line, by definition, has the following form:
y=mx+b
Where m is the slope and b is the y-intercept
As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.
Now, to find the slope, choose any point of the line and solve for m:
Point (1,1)
1=m(1)+2
-1=m
Then, the equation is:
y=-x+2
Answer:
The circumference of a circle is calculated by multiplying the diameter of a circle by π (π × d) . The formula to calculate the circumference of a circle is usually written c = πd .
Step-by-step explanation:
Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.
I hope this helps.
Complete question :
Lucy has block letters that are in the shape of cubes with sides 2 3 foot long. She has a box which is 1 1 3 foot long, 2 3 foot wide, and 2 3 foot tall. Find the number of block letters that will fit in the box.
Answer:
1/2
Step-by-step explanation:
Number of block letters that will fit in :
Volume of box ÷ volume of each letter cube
Volume of each letter cube = (side length)³ = (2/3)³ = 8/27 ft³
Volume of box = length * width * height
Volume of box = 1 1/3 * 2/3 * 2/3
Volume of box = 4/3 * 2/3 * 2/3 = 16 / 27 ft³
Therefore ;
8/27 ÷ 16/27
8/27 * 27/16
= 8/16
= 1/2
Answer:
$60
Step-by-step explanation:
To find how much Zoe paid before the sales tax and tip, we first need to consider the amount she paid in sales tax and tips.
Sales tax + Tips = $18.60
Let x = original price
Sales tax = 11% * original price
Sales tax = 0.11 * x
x= 0.11x
Tips = 20% * original price
Tips = 0.20 * x
x = 0.2x
Now that we have a value for both the sales tax and tips, we can then proceed to find the original price by:
0.11x + 0.2x = 18.60
0.31x = 18.60
Now we need to divide both sides by 0.31 to find x.
x = 60
Zoe's dinner before the sales tax and tips was $60.
Answer:
174 ft^2
Step-by-step explanation:
2(3*9)+2(5*9)+2(5*3)
= 54 + 90 + 30 = 174 ft^2
