How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?


How many gallons of 15% alcohol should be in the mixture? _____ gal

Answer:

Option A. π

Step-by-step explanation:

The period of a simple harmonic motion is the time taken to make one complete circle or oscillation.

Considering the graph given above, we can see that at the completion of one circle, the angle θ, has value as pi (π).

This value is equivalent to the period of the graph.

Therefore, the period of the graph shown above is π.

Answer:

Step-by-step explanation:

The line is vertical, so it is on x

the line is on x=5

the line is whole so it is less or greater than and equal to

the shaded part is to the left, so it is less than

So, the inequality represented by the graph is x≤5

Answer:

y = -6x + 6

Step-by-step explanation:

To make an equation you need to find the slope first

To do that use the expression y2-y1/x2-x1 (-6)

Now plug that in to y = mx + b

Lastly you substitute any coordinate and find b

y = -6x + 6

Answer:C

Step-by-step explanation:

Answer:

SA = 384 in ^2

Step-by-step explanation:

The surface area of a cube is given by

SA = 6 S ^2 where s is the side length

SA = 6 * (8) ^2

SA = 6 * 64

SA = 384 in ^2

Answer:

384 in^3

Step-by-step explanation:

To find the surface area of a cube, you have to multiply 6(the number of sides on a cube) by *(8)^2. When you plug it in, you get 384 in^3.

Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.

The area of the figure decreases when the dimension is decreased

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the figure be represented as ABCD

where ABCD is a rectangle

Now , the measures of the sides of the rectangle be

The length of the rectangle = L

The width of the rectangle = W

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle = LW

when the dimension of one of the unit is decreased , we get

when L = L/2

Area of rectangle = ( LW) / 2

So , the area of the figure is decreased bu ( 1/2 )

Hence , the area of the figure decreases

To learn more about area of rectangle click :

https://brainly.com/question/15225905

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Answer:

The answer is 5 students taking English and Math but not History

Step-by-step explanation:

The total students are 28 which are divided into 5 possible groups with no students taking either English only or History only:

The number of students in group 3 is 6. Hence, the total number in group 1, 2, 4 and 5 is: 28 - 6 = 22

Also, the number of students in group 4 is five times the number in group 5, therefore: group 2 + group 5 = 6 times group 5

Additionally, the number of students in group 1 equals that in group 2.

Hence, the equation is: 6 x group 5 + 2 x group 2 = 22 => group 2 = 11 - 3 x group 5 => group 2 = 5 because group 5 is an even number and non-zero, it must be 2.

Answer:

The second choice

Step-by-step explanation:

So first we would plug in the first term which is 2 so we would get [tex]an=2[/tex] times [tex]rn-1[/tex] so next we would see that the common ration is -3 since every time the number is being multiplied by -3. so then our equation would be [tex]an= 2[/tex] times [tex]-3n-1[/tex]. Now we would just find the choice that matches and it would be the second choice.

Answer:

option 2

Step-by-step explanation:

First term [tex]a_{1} = 2\\[/tex]

common ratio = r = second term ÷ first term

                            = -6 ÷2 = -4

Plug in the values of  [tex]a_{1}[/tex] & r in the formula

[tex]a_{n} = a_{1}*r^{n-1}\\\\\\a_{n}=2 * (-3)^{n-1}[/tex]

Answer: I'm sure it describes experimental events? Is that an option? Because he's experimenting by flipping the coin. If not, just contact me! :)

Here and happy to help.

Answer:

multiply by a factor of 7/8

Step-by-step explanation:

sphere A radius is 24 and Sphere B radius is 21

24x=21

x = 7/8

Answer:

multiply by a factor of 7/8

Answer:

c = 27.9

B = 62.13°

C = 89.90°

Step-by-step explanation:

We are given the following values:

A= 121.59°, a = 27.9 cm, b = 52.6 cm

a) Finding side c

We would use Pythagoras Theorem

c² = a² + b²

c = √(a² + b²)

c = √(27.9² + 52.6²)

c = 59.54cm

≈ Approximately = 59.5cm

b) Finding B

We would be using Cosine rule to find Angle B

Cos B = a² + b² - c²/2ab

B = arc cos ( a² + c² - b²/2ac)

B = arc cos( 27.9² + 59.5² - 52.6²/ 2 × 27.9 × 59.5)

B = 62.13268°

B = 62.13°

c) Finding C

We would be using Cosine rule to find Angle C

Cos C = a² + b² - c²/2ab

C = arc cos ( a² + b² - c²/2ab)

C = arc cos( 27.9² + 52.6² - 59.5²/ 2 × 27.9 × 52.6)

C = 89.9°

Answer:

Area = [tex]\frac{1}{2} (6)(6)[/tex]

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where Base = 6 , Height = 6

Area = [tex]\frac{1}{2} (6)(6)[/tex]

Area = 3 * 6

Area = 18 units^2

Answer:

Hey there!

The area of the shaded triangle covers exactly half the square.

Thus, first we find the area of the square, which is 6x6, or 36.

Finally, half of that is 1/4 times 6x6.(Fraction 1 over 2 •6•6 is correct)

Let me know if you need more help :)

Answer:

67,108,864 or 4^13

Step-by-step explanation:

4^6*4^7=4^13 you basically just add the exponents since the base is the same.

Since these two powers have the same base of 4, you can multiply

them together by simply adding their exponents to get 4¹³.

This idea is called the product rule.

A common mistake in this problem would be to multiply

the bases together and give an answer of 16¹³.

It's important to understand however that the 4's in this problem can't

be multiplied together because they're not coefficients, they're bases.

When applying your exponent rules, your base will never change.

Answer:

z = 96; x = 8.

Step-by-step explanation:

z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.

The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.

5x + 44 + 96 = 180

5x + 140 = 180

5x = 40

x = 8

Hope this helps!

This is the same as h(x) = x/4

In decimal form, it would be h(x) = 0.25x

=============================================

Explanation:

Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x

To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x

-----------

Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y

f(x) = 4x

y = 4x

x = 4y

4y = x

y = x/4

h(x) = x/4

We end up with the same result as before.

-----------

Extra info:

For any real number x, the following two equations are true

h( f(x) ) = x

f( h(x) ) = x

Answer:

A = 27π

P =

Step-by-step explanation:

Well if it follows the same proportions as a square then the dotted line is 6 cm.

                                                      Triangle                                                                

So the area of a triangle is b*h / 2

b = 6

h = 6

6*6 = 36

36 / 2 = 18

A = 18cm^2

So to find the missing side or c we do 6^2 + 6^2 = c^2,

36 + 36 = c^2

72 = c^2

≅8

6 + 6 + 8

= 20cm

                                                       Half circle                                                                  

Now the area of a semicircle is,

pi r^2 / 2

So if the diameter is 6 then the radius is 3.

So we do 3*3 = 9

9 * pi = 9π^2

Perimeter: 6π

____________________________________________________________

Thus,

the area is 27π and the perimeter 26π.

Hope this helps :)

Answer: it will be 3.7 cuz its perpendicular

have a good day,     hey thechesguy nice name and the guy under copied from me.

Answer:

Expected win = $15.17 to the nearest cent.

Step-by-step explanation:

Expected win = (1/6)*(1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2) = 15.167  or $15.17 to the nearest cent.

The positive expected value means that Monica wins 1.17 dollars on average for each roll.

==================================================

Explanation:

The sample space is {1,2,3,4,5,6} to represent the outcomes of the die.

Of that list, {2,3,5} are prime numbers. Note that 1 is not a prime number. It's not composite either. So Monica will lose money when she rolls a 1. If she rolls {4,6} then she wins 0 dollars.

For any single roll, the probability of landing on that value is 1/6

Multiply 1/6 by each winning amount. Then add up the products

(1/6)*(-3) + (1/6)*(2) + (1/6)*(3) + (1/6)*(0) + (1/6)*(5) + (1/6)*(0)

-3/6 + 2/6 + 3/6 + 5/6

(-3+2+3+5)/6

7/6

1.17 approximately

Monica will get about 1.17 dollars per roll on average. She only loses money on average if the expected value was negative.

Answer:

45°

Step-by-step explanation:

There are sets of formulas you can refer to for different situations like this. In your case here, you need to apply the formula and solve for the unknown. My work is in the attachment.

Answer: 45 degrees

Step-by-step explanation:

Answer:

y=-3x+4

Step-by-step explanation:

Use rise/run to find slope. Rise= -3, Run= 1

Y-Intercept is found where the line intersects y.

Answer:

The slope of the line is -3.

Step-by-Step Explanation:

You need to find any two points on the line.

I'll chose (0, 4) and (2, -2).

To find slope, you need to use the formula m = y2 - y1 divided by x2 - x1.

m = y2 - y1 / x2 - x1

m = (-2 - 4) / (2 - 0)

m = -6 / 2

Then you must reduce to lowest terms.

m = -3

Answer: 25

Step-by-step explanation:

Find the distance from (3, 0) to (6,4).  That is the side length (s).

Area (A) = s²

[tex]s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\s^2=(x_2-x_1)^2+(y_2-y_1)^2\\\\s^2=(6-3)^2+(4-0)^2\\\\s^2=3^2+4^2\\\\s^2=9+16\\\\s^2=25\\\\\\A=s^2\\\\\large\boxed{A = 25}[/tex]

Answer:

25 units squared

Step-by-step explanation:

Distance between (3, 0) and (6, 4)

√(3-6)²+(0-4)² = 5

Area = 5 * 5 = 25 units squared

Answer::

Choice B : fleur has enough boards but not enough nails

Answer:

Fleur has enough boards but not enough nails.

Step-by-step explanation:

T = 3

C = 9

substitute

Answer:

[tex]\large \boxed{\sf \ \ \sum_{n=1}^{n=4} (5n + 2) = 58 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to compute the following:

[tex]\displaystyle \sum_{k=1}^{k=4} (5\cdot k + 2)= (5*1+2) + (5*2+2)+ (5*3+2) + (5*4+2)\\\\=7 + 12 + 17 + 22 = 19 + 39 = 58[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: 36.52 dollars she spent

Answer:

221.12 cm^3

Step-by-step explanation:

Imagine that you have the 6cm side of the prism base facing you, and that you cut the prism in half through the vertex.  Doing this will form two triangles.  The hypotenuse of the triangle is the same as the "diagonal" that is 10√2 cm.  The base of this triangle is half of the 6" side, or 3 cm.

Use the Pythagorean Theorem to determine the height (h) of the prism:

h^2 + 3^2 = (10√2)^2, or

h^2 = 200-9 = 191

Then the height is √191 cm

and the base area is 6cm times 8 cm, or 48 cm^2

and so we end up with the volume V = (1/3)(base area)(height), or

                                                           V = (1/3)(48 cm^2)(√191 cm), or

                                                                  roughly 221.12 cm^3

Reflecting the graph of y = cos(x) is across the x-axis is the same as taking y = -cos(x). Reflecting across the y-axis is the same as taking cos(-x). However, cos(-x) is actually equal to cos(x), not -cos(x), so these two are not equivalent (diagram attached).

I have also attached a graph of these functions. The green line is the reflection over the y-axis, which is the same as the original function. The blue line is the reflection over the x-axis.

Answer:

$30

Step-by-step explanation:

i think i did the right math

Answer:

Hey there!

40% of 50 dollars is 20

Thus, the price of the backpack is now 50-20, or 30 dollars.

Hope this helps :)

Hey there! I'm happy to help!

First, let's add the hundreds and the tens.

300+80=380

We see that there is nothing in the ones place, so we keep our ones place 0 and we move onto adding the tenths.

380+0.9=380.9

We add the hundredths.

380.9+0.06=380.96

And finally, we add the thousandths.

380.96+0.001=380.961

Therefore, this number in standard form is 380.961.

Have a wonderful day! :D

Answer:

380.961

Step-by-step explanation:

300+80=380

0.9+0.06+0.001=.961

380+.961=380.961

since there is nothing in the ones place, keep it 0.

Answer:

43

Step-by-step explanation:

(9r-5s+3^3)

Let r = 2/3  and s = -2

(9 * 2/3-5* -2+3^3)

(6+ 10+27)

43

Answer:

Step-by-step explanation:

[tex]9r - 5s + {3}^{3} [/tex]

plug the values

[tex] = 9 \times \frac{2}{3} - 5 \times ( - 2) + {3}^{3} [/tex]

Reduce the numbers with Greatest Common Factor 3

[tex] = 3 \times 2 - 5 \times ( - 2) + {3}^{3} [/tex]

Multiply the numbers

[tex] = 6 + 10 + 27[/tex]

Calculate the sum of positive numbers

[tex] = 43[/tex]

Hope I helped..

Best regards!

Answer:

Inverse proportion

Step-by-step explanation:

Inverse proportion: in this type of relation, two quantities proportion such that one decreases and other increases or vice-versa.

So, in the given question when the number of workers increases, time is taken for certain work decreases.

So, Inverse proportion is the correct answer.