Answer:
a = 1
Step-by-step explanation:
<u><em>The given equation is:</em></u>
=> 5x+y = 8
Also,
Point = (x,y) = (a,3)
So, x = a , y = 3
<u><em>Putting this in the above equation</em></u>
=> 5(a)+3 = 8
=> 5a = 8-3
=> 5a = 5
<em>Dividing both sides by 5</em>
=> a = 1
1600 children and 1400 adults attended
<h3>How to determine the number of adults?</h3>
Let the children be x and adult be y.
So, we have the following equations:
x + y = 3000
1.5x + 5y = 9400
Make x the subject in x + y = 3000
x = 3000 - y
Substitute x = 3000 - y in 1.5x + 5y = 9400
1.5(3000 - y) + 5y = 9400
Expand
4500 - 1.5y + 5y = 9400
Evaluate the like terms
3.5y = 4900
Divide both sides by 3.5
y = 1400
Substitute y = 1400 in x = 3000 - y
x = 3000 - 1400
Evaluate
x = 1600
Hence, 1600 children and 1400 adults attended
Read more about system of equations at:
brainly.com/question/14323743
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Answer:
see explanation
Step-by-step explanation:
Given
s(t) = 10t²
To find s(2) and s(5) substitute t = 2 and t = 5 into f(t)
(a)
s(2) = 10 × 2² = 10 × 4 = 40
s(5) = 10 × 5² = 10 × 25 = 250
(b)
s(5) - s(2) = 250 - 40 = 210
This represents the distance travelled in 3 hours
(c)
The average rate of change is measured as

= 
= 
= 70 miles per hour
Answer:
35
Step-by-step explanation:
You can find it by multiplying the decimal of the fraction (In this case it's 0.7) by however many times it's happening (50).
0.7 x 50 = 35