Answer:
C. 4x = 12
Step-by-step explanation:
You and three friends= you + 3 friends=4 people
Pizza= 12 pieces
Each person eats equal pieces of pizza
x= number of pieces each person ate
Equation
4x=12
Divide both sides by 4
x=12/4
=3
x=3
Therefore, each person ate 3 pieces of pizza each
Check:
4x=12
4(3)=12
12=12
Answer:
Step-by-step explanation:
Answer:
a = 84°
b = 36°
c = 24°
d = 84°
e = 132°
Step-by-step explanation:
The parameters of the workers in the office are;
The number of staffs in the office = 60 staffs
The take-aways are pizza, curry, fish & chips, kebab and other
The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively
The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively
In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;
∠a = 360° × 14/60 = 84°
∠b = 360° × 6/60 = 36°
∠c = 360° × 4/60 = 24°
∠d = 360° × 14/60 = 84°
∠e = 360° × 22/60 = 132°
Answer:
since each item costs rs1263 we say
rs1263×22
27786
this means he spent rs27786
Her we now say rs47500-rs27786
=rs19714
This is to say that he has rs19714 left with him.
From the calculation, the growth rate is 0.88.
<h3>What is the growth rate?</h3>
To find the relative growth rate
P1 = Poe^rt
P2 = Poe^rt
Thus;
1920 = Poe^4r ------ (1)
1966080 =Poe^12r -------(2)
P2/P1 gives;
1966080/1920 = Poe^12r/Poe^4r
1024 = e^12r/e^4r
1024 =e^8r
1024 = (e^r)^8
2^10 = (e^r)^8
e^r = 2^1.25
e^r = 2.38
r = ln(2.38)
r = 0.88
The initial size of the culture is;
1920 = Poe^(0.88 * 4)
Po = 1920/e^(0.88 * 4)
Po = 57
The expression for the exact number of bacteria after t hours is
P(t) = 57e^0.08t
The growth (in bacteria per hour) after 9.5 hours is
P(t) = 57e^(0.88 * 9.5)
P(t) = 243544
For the number to reach 72,000;
72,000 = 57e^0.88t
72,000/57 = e^0.88t
ln 126 = ln[e^0.88t]
4.8 = 0.88t
t = 4.8/0.88
t = 5.5 hours
Learn more about exponential growth;brainly.com/question/13674608
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