Answer:
Step-by-step explanation:
Days with t are: Tuesday, Thursday and Saturday.
In the period of time given there are 20 T days (20 x 3 = 60 oranges)
In the period of time given there are ? no T days (27 x 2 = 54 oranges)
60 + 54 = 114 Oranges eaten over the school holidays
Answer:
Exponential
Step-by-step explanation:
<em>Starter:</em>
According to the title:
"Every day, half a bacteria population dies."
Exponential: y = ab^x ( b > 0 , b ≠ 1)
So the answer is C.
<em>Calculations:</em>
An exponential model is of the form y = a • b^t.
If you start with population of 500 million bacteria
t = 0
so 500 million = a • b^0 = a
Since every day half the population dies then in 1 day population will be 250 million
so a = 500 million, y = 250 million and t = 1
250 million = 500 million • b^1
b = 0.5
Therefore your equation would be
y = 500 million (or whatever the pop) • 0.5^t
Where t = number of days
This could also be written in exponential form ( e = 2.73)
Answer:
Step-by-step explanation:
We'll work through this part by part. Half are grazing, and half are not. The half that are not are then cut into fourths. 3/4 of this non grazing half are playing so that leaves 1/4 drinking, which it tells us is 9.
so, if 9 is 1/4, 18 is 2/4 and so on. So 36 is the full number of the half not grazing. So if 36 is one half, the whole group is 72.
<h3>
Answer: 2</h3>
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Explanation:
x = number of years
y = height in feet
The equation for the first tree is
y = x+3
The slope is 1 to represent a rate of 1 ft per year of growth. The y intercept of 3 is the starting height. Refer to y = mx+b form.
For the second tree, the equation is:
y = 0.5x+4
This time we have a slope of 0.5 and a y intercept of 4.
Apply substitution to solve for x
y = x+3
0.5x+4 = x+3
0.5x-x = 3-4
-0.5x = -1
x = -1/(-0.5)
x = 2
The trees will be the same height in <u> 2 </u> years.
What will that height be? Plug x = 2 into either equation to find y. We should get the same y value.
y = x+3
y = 2+3
y = 5
Or we could say
y = 0.5x+4
y = 0.5*2+4
y = 1+4
y = 5
We've shown that both equations lead to y = 5 when x = 2. This means that at the 2 year mark, both trees are 5 feet tall. This helps confirm we have the correct x value.
Answer:
Please check the explanation.
Step-by-step explanation:
a)
As there are 1000000 units in 1 million
i.e.
1 million = 1000000 units
A house as purchases for $6780000.
Thus, the purchase price in million will be:
6780000/1000000 = 6.78 million
b)
purchase price in millions nearest to an integer
As the number we are rounding is followed by 7, so will be round the number up.
Therefore,
$6780000 rounded to the nearest million = $7,000,000
