Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
Graph B would be the correct answer
Answer:
6 cm
Step-by-step explanation:
Given the information :
V=720 cm
L=?
P=15 cm
T=8 cm
The volume = L * P * T
V = L * P * T
720 = L * 15 * 8
720 = L * 120
L = 720 / 120
L = 6 cm
Answer:
15
Step-by-step explanation:
Mia take 1/4 and 1/10 hours to create a bracelet. This is 1/4 + 1/10 = 10/40 + 4/40 = 14/40 = 7/20.
It takes her a total of 7/20 hours to make the bracelet. She has 5 1/4 hours to work. To find the number of bracelets she can make divide 5 1/4 by 7/20.
Write first 5 1/4 as a mixed number. 21/4. Then rewrite it as multiplication with the reciprocal of 7/20 to divide fractions.
21/4 * 20/7 = 420/28 = 15
She will make 15 bracelets.
Answer:
n= 21
c= 3x
Step-by-step explanation:
The expression is given as;
(3x⁷)⁴
Apply the brackets law of indices which states that :
If a term with a power is itself raised to a power then the powers are multiplied together
(xᵃ)ᵇ = xᵃˣᵇ
Applying the same;
(3x⁷)⁴ = 3x²¹
If 3x²¹ = c^n
Then n = 21
and
c= 3x