how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?

ASAP!!! PLS

Answer:

Step-by-step explanation:

Let the other leg = x

x^2 + 4^2 = (3x)^2

x^2 + 4^2 = 9x^2

4^2 = 9x^2 - x^2

16= 8x^2

16/8 = x^2

x^2 = 2

x = sqrt(2)

The lengths of the sides

x = sqrt(2)      

other side =4

hypotenuse = 3*sqrt(2)

x = 1.4

other side= 4

hypotenuse = 3*1.4142

hypotenuse = 4.2

Answer:

D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.

Step-by-step explanation:

8/1 is proportional to 144/18

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

Given that, a candle factory makes colored candles to sell in packages.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

A) Does not a represents a proportional relationship

B) Does not a represents a proportional relationship

C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.

Here, the number of packages increases, the cost also increases. So, it is direct proportion.

D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.

Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

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Answer:

Step-by-step explanation:

21.

4(x + 7) - 2x

4x + 28 - 2x

2x + 28

answer: 2x + 28

22.

8(a + b) + 5(2a - 5b)

8a + 8b + 10a - 25b

18a - 17b

answer: 18a - 17b

-------------------------------------

Jhon's solution is wrong

1. first mistake

when you see this

10^5/10^4

the right solution is 10^(5 - 4) = 10^1 or just 10

2. second mistake

6.4/7.2 he inverted the fraction which is wrong

you can only invert the fraction when the power is negative

----------------------------------------------------------

now the correct answer is 6.4/7.2 x 10^5/10^4 = 0.88888888888888888888888888888889 x 10

or 0.9 x 10^1

or 8.9

Answer:

6 km/hr

Step-by-step explanation:

Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.

Solve

[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]

Therefore, it is 6.

Answer:

Step-by-step explanation:

The largest angle will be opposite the longest side.

Use law of cosines

276² = 223² + 258² - 2(223)(258)cosθ

θ = 69.596009... = 69.60°

Which is closest to answer b)

Answer:

58

Step-by-step explanation:

Answer:

Step-by-step explanation:

1

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

Answer:

-3 ,-4

Step-by-step explanation:

Answer: ( 3 , -4)

Step-by-step explanation:

i got it wrong at first and it told me the right answer

Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.

The patient is to take a tablet 3 times a day which means that they are to take:

= 1 x 3

= 3 tablets daily

If they have 30 tablets, this will last:

= Number of tablets / Tablets per day

= 30 / 3

= 10 days

In conclusion, it will take 10 days for the tablets to run out.

Find out more at https://brainly.com/question/13043215.

Answer:

Not a linear function

Step-by-step explanation:

3xy = 27 is not a linear function.

A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form).   An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.  

Isolating y from the left-hand side:

3xy = 27  

On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy  is the same as expressing it as  3·x·y.  

We cannot simply add or subtract x or y to isolate either one of the variables.  The proper mathematical operation to do so is by division.

Hence, we must divide both sides by 3x to isolate y:

[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]

[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]   ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0.  The graph of an inverse function is a hyperbola.      

Attached is the graph of  [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]  to show why it is not considered as a linear function. A linear function will show a straight line.  

Answer:

First is translation then dialation darlin

Step-by-step explanation:

i say this because of the size of grid

Answer:

either 98 girls and 83 boys or 181 students in Ross elementary school

Step-by-step explanation:

98-15 is 83 so there are 98 girls and 83 boys there are also 181 students altogether.

The amount of edging trim needed will be equal to the circumference of the given circle, so it will be 31.4ft

We know that the circumference of a circle of diameter D is given by:

C = 3.14*D

Here, we have a circular garden with a diameter of 10ft, and we want to place edging trim along its circumference, so the amount of edging trim that we need is given by:

C = 3.14*10ft = 31.4 ft

You need 31.4ft of edging trim to surround the garden by placing the trim all along the garden's circumference.

If you want to learn more about circles, you can read:

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Step-by-step explanation:

1 x 18, 2 x 9, dan 3 x 6. Jadi, faktor dari 18 adalah 1, 2, 3, 6, 9, dan 18.

Answer:

That's is not Different

Step-by-step explanation:

Including to 2000 and 6666 itself is not Different

1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]

2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]

- BRAINLIEST answerer

1. When multiplying fractions, multiply the numerators and multiply the denominators:

1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15

2. When dividing fractions multiply by the inverse of the second fraction.

2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3

Answer:

25

Step-by-step explanation:

AC=50  ∴BC=25

DF is the opposite of BC ( take it as a square BCDF)

Answer:

2x ×2y=15. then solve for equation x and y

Answer:

Step-by-step explanation:

Answer:

The answer is 3 hours

Step-by-step explanation:

Step-by-step explanation:

Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or a parametric description of the surface. F =( 0,0,-1) across the slanted face of the tetrahedron Z=4-x-y in the first octant; normal vectors point upward

The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units.

Let [tex]f(x) = 1[/tex], [tex]g(x) = x^{1/2}[/tex] and [tex]h(x) = x^{2}[/tex], both [tex]g(x) [/tex] and [tex]h(x)[/tex] have the following intersection points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (1,1)[/tex]. This means that the interval of x-coordinates for the solid of revolution is [tex]x \in [0, 1][/tex].

The integral formula for the volume of the solid of revolution ([tex]V[/tex]), in cubic units, is:

[tex]V = \pi \int\limits^{1}_{0} {[h(x)-f(x)]^{2}} \, dx - \pi \int\limits^{1}_{0} {[g(x)-f(x)]^{2}} \, dx [/tex] (1)

After substituting on each function and simplifying terms we get the following integral:

[tex]V = \pi \int\limits^{1}_{0} {(x^{2}-1)^{2}} \, dx - \pi \int\limits^{1}_{0} {(x^{1/2}-1)^{2}} \, dx [/tex]

[tex]V = \pi\left[\int\limits^{1}_{0} {x^{4}} \, dx - 2\int\limits^{1}_{0} {x^{2}} \, dx -\int\limits^{1}_{0} {x} \, dx + 2\int\limits^{1}_{0} {x^{1/2}} \, dx \right][/tex]

And the volume of the solid of revolution is:

[tex]V = \pi \cdot \left(\frac{1}{5}-\frac{2}{3} -\frac{1}{2}+\frac{4}{3} \right)[/tex]

[tex]V = \frac{11\pi}{30} [/tex]

The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units. [tex]\blacksquare[/tex]

To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504

Step-by-step explanation:

Note: I'm only providing solutions for Problem 9.

Combining like terms involve performing the required mathematical operations (using the PEMDAS rule).  The terms must have the same degree (or exponents).  

Add the coefficients of both terms.  

3a + 7a  = 10a

Add the coefficients of both terms.  

4n + 3n = 7n

Subtract the coefficient of both terms.  

12y - 4y = 8y

Add the coefficients of all terms.  

5x + 2x + 4x = 11x  

The last term, "ba," can be rewritten as, "ab."  Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1:  1a × 1b.

Now, we can perform the subtraction on all terms:

6ab - 2ab - ab = 3ab.  

Subtract 2mn from 2mn, which leaves you with 7mn:

7mn + 2mn - 2mn = 7mn  

For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.  

4y - 3y + 8 = y + 8

Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.

7x + 5 - 4x = 3x + 5

You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.  

6xy + xy + 4y = 7xy + 4y

Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.

5ab + 3 + 7ba = 12ab + 3  

Combine the like terms, which are the second and the last term.  

2 - 5m - m = 2 - 6m

Combine the like terms, which are the second and the last term.  

4 - 2x + x = 4 - x  

Answer:

A' (-1,4)

B' (-4,3)

C' (-2,1)

Step-by-step explanation:

When reflecting a point across the y-axis, the x-coordinate changes signs, and the y-coordinate stays the same. The rule for a reflection across the y-axis is (x,y) -> (-x,y). For example, if we flip the coordinates (1,4) across the y-axis, new the coordinates are (-1,4).