Solve each quadratic equation. (2x-1)(x+7)=1
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Related Questions
How do I write -2.5 into a fraction?
4) How old am I if 500 reduced by 4 timesmy age is 1402
Find the slope of the line that passes through the two points(2, 8) and (3, 14)
A train leaves the station with a 7/8 load of coal. The train drops off 2/16 and 3/12. What is left in the train?
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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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B=number of seats in section B
C=number of seats in section C
We can suggest this system of equations:
A+B+C=55,000
A=B+C ⇒A-B-C=0
28A+16B+12C=1,158,000
We solve this system of equations by Gauss Method.
1 1 1 55,000
1 -1 -1 0
28 16 12 1,158,000
1 1 1 55,000
0 -2 -2 -55,000 (R₂-R₁)
0 12 16 382,000 (28R₁-R₂)
1 1 1 55,000
0 -2 -2 -55,000
0 0 4 52,000 (6R₂+R₃)
Therefore:
4C=52,000
C=52,000/4
C=13,000
-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.
A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.
Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.
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The population after 15 years, to the nearest whole number is 17600.
What is meaning of Percentage Increase ?
The percentage increase is calculated by first calculating the difference(increase) between the two numbers and then multiplying it by 100. The answer is noted in % .
It is given in the question that
A town has a population of 11000
It grows at 4% every year.
the population after 15 years = ?
The population increase can be determined by the formula of Amount used in Simple Interest
P₁₅ = P₀ + ( P₀ * 0.04 * 15)
P₁₅ = 11000 + (11000* 0.04 * 15)
P₁₅ = 17600
Therefore the population after 15 years, to the nearest whole number is 17600.
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Answer:
19810
Step-by-step explanation:
–5
B.
- 1/5
C.
1/5 d 5 next question divide Express your answer in lowest terms. 2/9 dived 1/4
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Flip the fraction:
-1/5
2/9 / 1/4
Flip the 2nd fraction and multiply:
2/9 * 4/1
Multiply the numerators and denominators:
8/9
)
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It's just asking you to set up the equation that you would use
to find the dimensions. That's a great way to do it, because
nobody actually needs the answers, the whole thing is only
meant to help you learn HOW to find them.
==========================================
Call the width of the window 'W' .
We know that the length is 5 feet more than the width, so the length is (W + 5).
The area is (length times width).
Area = (W + 5) times (W).
36 = (W + 5) W
36 = W² + 5W
Subtract 36 from each side:
W² + 5W - 36 = 0
That's choice-4 .