I think the answer is <span>1100</span>
Drinks, x, and popcorn, y.
38.75 = 5x+2y
37.25 = 3x + 4y
Let's solve this using the elimination method
subtract the 2nd row from the first
<span>7x=40.2<span>5
divide both sides by 7 to isolate x
</span></span><span>x=5.7<span>5
Substitute x into an equation
</span></span><span><span>10(5.75)+4y=77.5
multiply
</span></span>57.5+4y=77.<span>5
subtract 57.5 from both sides
</span>4y=77.5−57.<span>5
Simplify
</span>4y=2<span>0
divide both sides by 4 to isolate y
y = 5
To check you would plug x and y into the equations and see if it equals properly...
The price of drinks is $5.75, the price of popcorn is $5.
Hope this helps
</span>
Answer:
96
Step-by-step explanation:
<u>Step 1
</u>
Divide your confidence interval by 2. In this case the confidence is 95% = 0.095, so 0.095/2 = 0.0475
<u>Step 2
</u>
Use either a z-score table or a computer to find the closest z-score for 0.0475 and you will find this value is 1.96
<u>Step 3
</u>
Divide the margin error by 2. In this case, the margin error is 2%. When dividing this figure by 2, we get 1% = 0.01
<u>Step 4
</u>
Divide the number obtained in Step 2 by the number obtained in Step 3 and square it
1.96/0.01 = 196 and 196 squared is 38,416
<u>Step 5
</u>
As we do not now a proportion of people that purchase on line, we must assume this value is 50% = 0.5. Square this number and you get 0.25
<u>Step 6
</u>
Multiply the number obtained in Step 5 by the number obtained in Step 4, round it to the nearest integer and this is an appropriate size of the sample.
38,416*0.25 = 9,604
By the use of the completing the square method, the maximum height is 3 ±√29/4 + 9 m.
<h3>What is the maximum height of the water?</h3>
The maximum height has been modeled by the use of the equation f(x)= -4x^2 +24x -29. Now we know that f(x)= h so we can write;
h = -4x^2 +24x -29
Now we have;
0 = -4x^2 +24x -29
-4x^2 +24x -29= 0
x^2 - 6x = -29/4
(x - 3)^2 = -29/4 + 3^2
(x - 3)^2 = -29/4 + 9
x = 3 ±√29/4 + 9 m
Learn more about completing the square:brainly.com/question/4822356
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Hoi!
To find the volume, multiply the three known values.
6 × 4 × 5 = 120
The volume of this figure is 120 inches.
