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UNO [17]
2 years ago
5

Solve using the quadratic formula.

Mathematics
1 answer:
worty [1.4K]2 years ago
5 0
The quadratic formula is:
x =  \frac{ - b +  -  \sqrt{ {b}^{2}  - 4ac} }{2a}
so...
x =   \frac{ - ( - 1) +  -  \sqrt{( - 1)^{2} - 4(4)( - 7) } }{2(4)}
so simplified from calculator work

x =  \frac{1 +  \sqrt{113} }{8}  \: and \:  \frac{1 -  \sqrt{113} }{8}
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You need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture. How much
ozzi

Answer:

A. 605 mL of the 35% solution

B. 55 mL of the 95% solution

Step-by-step explanation:

It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.

Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.

So,

Amount equation: x+y=660        ...(1)

Alcohol equation : 0.35x+0.95y=0.40(660)\Rightarrow 0.35x+0.95y=264     ...(2)

On solving (1) and (2), we get

0.35(660-y)+0.95y=264

231-0.35y+0.95y=264

0.6y=264-231

y=\dfrac{33}{0.6}

y=55

Now, substitute y=55 in (1).

x+55=660  

x=660-55  

x=605  

Therefore, we need 605 mL of the 35% solution  and 55 mL of the 95% solution.

4 0
3 years ago
The quotient of the sum of 3 and a number and 6 is less than -2
GalinKa [24]
Answer: 3 + n / 6 is less than -2

Explanation:

It’s an inequality:

Quotient: division

Sum: addition

A number: the variable, n
7 0
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Answer:

Boruto is freaking adorable but I think all of them are cute UnU

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3 years ago
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Convert 3 18/25 to a decimal using long division.
zaharov [31]
Change into improper fraction 
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93\25=3.72
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Jack can run a mile in 9, 1/3 minutes. How long will it take for him to run 3, 1/2 miles?
BARSIC [14]
If you turn 9 1/3 in to a decimal and 3 1/2 in a decimal also 

9 1/3 = 9.3 and 3 1/2 =3.5 
9.3+3.5 =12.8 
12.8=12 4/5


8 0
3 years ago
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