MATHEMATICS HIGH SCHOOL

How much pure acid do you mix with 2L of 40% acid to get 70% acid

Answers

Answer 1

Answer: (2*40%+x*100%)/(2+x) = 70%; calculate x !

Answer 2

Answer:

Answer:

2*40 + x*100 = (2+x)*70

Step-by-step explanation:

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According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?(9x + 7)(4x + 1)(3x + 4) = 0

Answers

Answer:

Three roots exist of given polynomial.

Step-by-step explanation:

Given: $(9x+7)(4x+1)(3x+4)=0$

Fundamental theorem of algebra: It states that each factor of polynomial with complex coefficient must be atleast one complex root.

If polynomial with real coefficients then their complex root with zero imaginary part.

In the given polynomial, $(9x+7)(4x+1)(3x+4)=0$

Each term as factor factor. Here we have total three factor. If we set each factor to 0 and solve for x. We will get root for each value of x.

So, Here should be three roots possible.

$9x+7=0\Rightarrow x=-(7)/(9)$

$4x+1=0\Rightarrow x=-(1)/(4)$

$3x+4=0\Rightarrow x=-(4)/(3)$

All roots are real.

Hence, Three roots exist of given polynomial.

3

To obtain result 0 u need result 0 in one of that bracket.

For first one it's -7/9
Second -1/4
3'rd -4/3

At 3:25 p.m., two trains left Kalamazoo, Michigan. One train traveled westward at a constant rate of 82 miles per hour, while the other traveled eastward at a constant rate of 66 miles per hour. If they are now 11 miles apart, what time is it now?

Answers

you would add 1 hour per mile apart so maybe 1:25 am but i might be wrong

A cylindrical well is 20 meters deep and has a diameter of 1.5 meters. Approximately how many cubic meters of soil were dug out to make the well? (Use π = 3.14.)11.78 cubic meters
35.33 cubic meters
121.20 cubic meters
141.30 cubic meters

Answers

V = πr2h

V = 3.14 x 0.75 x 0.75 x 20

V = 35.33 cubic meters

Hope i will become the brainilest.

Answer:

35.33 cubic meters

Step-by-step explanation:

just took the test

NO LINKS I WILL REPORT!! but help plsss What is the value of y?
2yº
y + 10°
50°

Answers

Answer:

y=40

I hope it's helps you

Tom is the deli manager at a grocery store. He needs to schedule employees to staff the deli department at least 260 person-hours per week. Tom has one part-time employee who works 20 hours per week. Each full-time employee works 40 hours per week. Write an inequality to determine n, the number of full-time employees Tom must schedule, so that his employees will work at least 260 person-hours per week.

Answers

The expression that could best describe the statement would be " 40 n + 20 $\geq$ 260.

Answer:

$260\leq 20+40n$

Step-by-step explanation:

Given :

Tom needs to schedule employees to staff the deli department at least 260 person-hours per week.

Tom has one part-time employee who works 20 hours per week.

Each full-time employee works 40 hours per week.

To Find: An inequality to determine n, the number of full-time employees Tom must schedule, so that his employees will work at least 260 person-hours per week.

Solution :

Suppose that there are n number of full time employees.

Since each full time employee work for 40 hours per week .

So, n full time employees work for 40*n =40 n hours per week

And we are given that he has one part-time employee who works 20 hours per week. so, this part time employee hours are fixed .

Since , Tom needs to schedule employees to staff the deli department at least 260 person-hours per week.

Thus inequality becomes :

$260\leq 20+40n$

Hence the inequality to determine n, the number of full-time employees Tom must schedule, so that his employees will work at least 260 person-hours per week :

$260\leq 20+40n$

What is the quotient of 4 2/3÷ 6

Answers

4 2/3 = 14/3

$\sf{(14)/(3)/6=(14)/(3)*(1)/(6)=(14)/(18)=(7)/(9)}$

So your final answer is

$\boxed{\sf{(7)/(9)}}$

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The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?