Answer:
1
Step-by-step explanation:
1 is the right answer for this question
The system of equation that can be used to represent the number of meals sold is
x + y = 1000
5x + 10y = 3,500
Given:
Number of $5 meals sold = x
Number of $10 meals sold = y
Total number of meals = 1000
Total amount of meals = $3,500
The equations:
Quantity
x + y = 1000
Price
5x + 10y = 3,500
Therefore, the system of equation that can be used to represent the number of meals sold is
x + y = 1000
x + y = 10005x + 10y = 3,500
Learn more about equation:
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Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
Answer:
168 cubic inches
Step-by-step explanation:
The parameters given are:
four 2 in. platys, seven 1 in. guppies, and a 3 in. loach,
Four 2 inches platys = 4 × 2 = 8 inches
Seven 1 inches guppies = 7 × 1 = 7 inches
A 3 inches leach = 3 inches
The smallest capacity tank you can buy will be
V = 8 × 7 × 3
V = 168 cubic inches
Therefore, the smallest capacity of tank you can buy is 168 cubic inches
