The perimeter of a triangle is 42 yards. The first side is 5 yards less than the second side, and the third side is 2 yards less than the first side. What is the length of each side?
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PRECALC HELPplease help with the image above (translation up and down)
Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball in feet and t is the time seconds.When will the ball hit the ground?
0 × 95 yall help if you think ppl are not smart
Given a mean of 43.8 and a standard deviation of 8.7, what is the z-score of the value 40 rounded to the nearest tenth?
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The quotient of 80 and 4 is 20: 80 ÷ 4 = 20
The sum of 80 and 4 is 84: 80 + 4 = 84
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Answer:
a). 12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A, and 20 liters of real fruit juice would be needed to produce 250 liters of Drink B
b). 0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A, and 0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B
Step-by-step explanation:
a). Drinks A(250 liters) and Drink B(200 liters)
Total amount of Drink A=250 liters
Real fruit juice=5% of Drink A=(5/100)×250=12.5 liters
12.5 liters of real fruit juice would be needed to produce 250 liters of Drink A
Total amount of Drink B=200 liters
Real fruit juice=10% of Drink B=(10/100)×200=20 liters
20 liters of real fruit juice would be needed to produce 250 liters of Drink B
b). Drinks aa and bb
Total amount of Drink A=aa liters
Real fruit juice=5% of Drink A=(5/100)×aa=0.05aa liters
0.05aa liters of real fruit juice would be needed to produce aa liters of Drink A
Total amount of Drink B =bb liters
Real fruit juice=10% of Drink 10=(10/100)×bb=0.1bb liters
0.1bb liters of real fruit juice would be needed to produce bb liters of Drink B
Final answer:
To find the amount of real fruit juice needed, multiply the total volume of each drink by the percentage of juice it contains. For 250 liters of Drink A and 200 liters of Drink B, you need 32.5 liters of fruit juice in total. Apply the same method for any quantity of drinks.
Explanation:
We can compute the amount of real fruit juice needed for the drinks by using a similar method as in Chapter 9: multiplying the total volume of each drink by the percentage of real fruit juice it contains.
For Drink A: 250 liters * 5% = 12.5 liters of real fruit juice.
For Drink B: 200 liters * 10% = 20 liters of real fruit juice.
So in total, to produce 250 liters of Drink A and 200 liters of Drink B, you would need 12.5 liters + 20 liters = 32.5 liters of real fruit juice.
For aa liters of Drink A and bb liters of Drink B, you would do the following calculations:
Drink A: aa liters * 5%
Drink B: bb liters * 10%
Add the results from both calculations to get the total liters of real fruit juice needed.
Learn more about Percentage Calculation here:
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1. isolate variable
2. divide by coeficient of variable
3. celebrate because you found the answer
remember you can do anything to an equation as long as you do it to both sides
distributive propoerty
a(b+c)=ab+ac
2(x+4)-10=12
distribute the 2 to (x+4)
2(x+4)=2x+8
now we have
2x+8-10=12
add
2x-2=12
add 2 to both sides
2x+2-2=12+2
2x+0=14
2x=14
divide both sides by 2
2/2x=14/2
1x=7
x=7
Hi there!
To solve, let's rewrite this equation.
Step 1) Simplify both sides of the equation.
(Distribute)
(Combine Like Terms)
Step 2) Add 2 to both sides.
Step 3) Divide both sides by 2.
Final Answer -
Hope this helps!
Message me if you need anything else, I'd be happy to help you! :D
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Answer:
sure
Step-by-step explanation:
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Meeeeee I’m 14 <3.............
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The compound interest formula is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we can plug in the values given in the question to find the final amount earned after 10 years. The principal is $500, the annual interest rate is 4%, which is divided by 4 to get 1% per quarter, the number of times compounded per year is 4, and the time in years is 10. Plugging in these values, we get A = 500(1 + 0.01)^(4*10) = $740.60. Therefore, the final amount earned after 10 years is $740.60.
Learn more about interest rate here
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Basically, you need to solve for x
3(x - 4) = -2x + 18
3x - 12 = -2x + 18
+2x +2x
5x - 12 = 18
+12 +12
5x = 30
x = 6
Answer: The value that makes this equation true would be 6.
Now add two x to both sides.
5x-12=18
Now add. 12 to both sides.
5x=30
Divide both sides by 5.
x=6