Answer:
a.(2/7,31/7) b.(97,71)
Step-by-step explanation:
im not writing all the work i did its just substitution of the value of x and y from the second equation to the first
The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour.
<h3>What is the rate of change?</h3>
The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
A fertilizer covers 5/8 square feet in 1/6 hour.
5/8 square feet ⇒ 1/6 hour
Multiply both sides by 6
6 × 5/8 square feet ⇒ 6/6 hour
30/8 square feet ⇒ 1 hour.
Hence "The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour".
To learn more about the rate of change here,
brainly.com/question/12786410
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Simple interest = $769
Principal = $6000
Rate = ?
Time = 10 months (must convert to years if in months) = 10/12 = 0.833
Formula
I = prt
Substitute
769 = 6000 × r × 0.833
769 = 4998r
Divide both sides by 4998
769/4998 = 4998r/4998
0.15386 = r
(to the nearest tenth of a percent) = 0.15
Therefore, your rate is 0.15%.
Answer:
12.4 cm³
Step-by-step explanation:
From the picture attached,
Radius of the circular top of the cone =
= 
Height of the cone = h
Lateral height of the cone = h
By applying Pythagoras theorem in the right triangle of the cone,
l² = r² + h²
6² = 1² + h²
h = 
h = 
Ice cream needed to fill one cone = Volume of the cone
Since, formula for the volume of the cone V = 
V = 
= 6.195
≈ 6.20 cm³
Ice cream needed to fill the two cones = 2 × 6.20
= 12.4 cm³
Therefore, ice cream needed to fill the two cone = 12.4 cm³
Ratio of large box
96:6
Thus 96/6 = 16
Small box
2*16 = 32
There are 32 candles in the small box.