A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:

Answer:

  30 square units

Step-by-step explanation:

The area of the given right triangle can be found a couple of ways:

The missing side length can be found using the Pythagorean theorem relation between the sides:

  c² = a² +b²

  13² = a² +5²

  a² = 169 -25 = 144

  a = √144 = 12

Then the area is ...

  A = 1/2ab = 1/2(12)(5) = 30 . . . square units

__

The angle at lower right can be found from the trig relation ...

  Cos = Adjacent/Hypotenuse

  cos(A) = 5/13

  A = arccos(5/13) ≈ 67.38°

The area can be found from these side lengths and the angle:

  A = 1/2bc·sin(A)

  A = 1/2(5)(13)sin(67.38°) = 30 . . . square units

_____

Additional comment

The sine of the angle can be computed from the cosine using the identity ...

  sin(x) = √(1 -cos²(x))

In this case, the sine of the angle would be found to be 12/13, so the area would be computed as ...

  A = 1/2(5)(13)(12/13) = 1/2(12)(5) . . . . same as using the Pythagorean theorem

Answer:

12%

Step-by-step explanation:

The required percent increase is 12%

Tamanika got a raise in her hourly pay, from $15.50 to $17.36

percentage is defined as, composition of something out of whole inbounds of 100.

since = 17.36 - 15.50/15.50 x 100
= 1.86/15.50 x 100
= 0.12 x 100
= 12

Thus the required percent increase is 12%.

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Answer:

By comparing, I'm assuming you mean greater than, or equal to, or less than.

To understand that let's get two irrational numbers.

Let's use pi, (3.14159265358979...) and square root of 2.

It's just like doing normal compares. I recommend trying to put the number in decimal form (if its not already in it for it is much easier.)

Square root two = 1.414....

Pi = 3.14159..

Since the unit of pi is greater than square root two, we know pi is greater.

Hoped this helped ya, if this is not the answer you expected, please clarify on what you mean by "compare" in the comments. :)

Answer:

0 in the end they all burn out

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Answer:

Circumference: 25.12

Step-by-step explanation:

Circumference = 2[tex]\pi r[/tex] or [tex]\pi d[/tex]. ( r stands for radius and d for diameter) Since pi is 3.14, 8 times 3.14 is 25.12.

3.14

x  8

25.12

(If you mean area of the circle its 50.24, circumference times 2)

Answer: 50.24

Step-by-step explanation: The circumference formula is pi (3.14) times diameter, in your case 8.

3.14 x 8 = 25.12

Answer:

Step-by-step explanation:

Answer: 270

Answer:

8 outcomes

Step-by-step explanation:

A coin has two possible outcomes: heads or tails.

The spinner has four possible outcomes: 1, 2, 3 or 4.

If we combine then, the number of outcomes will be the product of their number of outcomes:

2 * 4 = 8

So we will have a total of 8 outcomes:

heads, 1 / heads, 2 / heads, 3 / heads, 4 /

tails, 1 / tails, 2 / tails, 3 / tails, 4

Answer:

752 bellow sea just did that

Answer:

Its 752 below see level!

Step-by-step explanation:

I am doing the assignment right now and got it right!, if you want can you guys mark brainliest that would help a lot!!

Answer:

All of the above

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Since, they all have a degree of 1 they are all polynomials.

Answer:

Step-by-step explanation:

The volume is calculated like:

V= length* hauteur* wide

V= 5* 2 3/4* 10 1/2

[tex]V= 5*\frac{11}{4} *\frac{21}{2} =\frac{5*11*21}{4*2} =\frac{1155}{8}=144.375 \\=144 \frac{3}{8} in^{3}[/tex]

Answer:

B) 176 ft²

Step-by-step explanation:

asdasdddddddddddddddddasdasdasdasdsa

Answer:

Step-by-step explanation:

1200

Answer:

Step-by-step explanation:

factor out 100

100[7 + (4 * 11) + (8 * 110)]

100[7 + 44 + 880]

100 (931)

= 93100

standard form is 9.31 * 10^4

The standard form for the number (7×100)+(4×1100)+(8×11,000) is,  9.31×10⁴

The standard form for a number is a method by which we write number in a format like  b×10ˣ. The value of b should be in between 0 to 10.

Given Number,

⇒ (7×100)+(4×1100)+(8×11,000)

   by taking 100 common from all the three terms,

⇒  100[ 7+ (4×11) + (8×110) ]

⇒  100[7+44+880]

⇒   100×931

⇒    9.31×10⁴

Hence, The number can be written as,  1.39×10⁴

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Answer:

The volume of the cone is 10 cubic units

Step-by-step explanation:

Given

Solid Shapes: Cone and Cylinder

Volume of Cylinder = 30 cubic units

Required

Volume of Cone

From the question; we have that the cylinder and the cone has the same height (h) and the same base;

Since they have the same base, then this means they have the same radius.

The Volume (V) of a cylinder is calculated as follows

[tex]V = \pi r^2h[/tex]

Substitute 30 for V

[tex]30 = \pi r^2h[/tex]

The Volume (Vc) of a cylinder is calculated as follows

[tex]V_c = \frac{1}{3} \pi r^2h[/tex]

From the volume of a cone, we have that [tex]\pi r^2h = 30[/tex]; This means that we can substitute 30 for [tex]\pi r^2h[/tex]

[tex]V_c = \frac{1}{3} \pi r^2h[/tex] becomes

[tex]V_c = \frac{1}{3} * 30[/tex]

[tex]V_c = 10[/tex]

Hence, the volume of the cone is 10 cubic units

Answer:

y=3, x=5

Step-by-step explanation:

18=6y, so divide both sides by 6 to get 3=y.

45=9x, so divide both sides by 9 to get x=5.

Answer:

x=5 y =3

Step-by-step explanation:

Opposite interrior angles have the same Number of degrees. So 9x=45. X has to be 5. y = 3 because 3 times 6 is 18. Which is the same number as the opposite vertical side.

Answer:

meters because trees can be tall.

Answer:

Whats the problem?

Step-by-step explanation:

Answer:

I suggest the answer to be D because to be plarallel the slopes of the two lines must be same and to be perpendicular the slopes must have been -1

Answer:

1/2

Step-by-step explanation:

Answer:

11 1/2 feet

Step-by-step explanation:

You simply subtract 19 and 7 1/2 because the bird dropped down which means it is closer to the ground, therefore, subtracting its original height at 19 feet. Hope that helped.

Answer:

19-7.5 = 11.5 or 11 and 1/2 or 23/2

:)

Answer:

complementary angles

Step-by-step explanation:

If the measures of two angles add up to 90 then they are complementary angles

Answer:

$92.92

Step-by-step explanation:

$72.60 * 20% = 14.53

$72.60 + 8%= $78.40

$78.40 + $14.52 = $92.93

Answer:

48m

Step-by-step explanation:

A=hbb

2=12·8

2=48

Answer:

60

Step-by-step explanation:

12 x 10 = 120

120 / 2 = 60

hope this helps :)

Answer:

V_rectangular_box = width x height x length

V = V_big_one + V_small_one

  =  (1/3)x(1/4)x(5/8) + (1/6)x(1/4)x(1/4) = 1/16 (ft3)

Answer:

fjdjdkhfidkfjsidmi

Step-by-step explanation:

irufusidjf9sodf8wpud8dkdhd8idhddh

First, I need to decide what equation this is like.

I believe this is y=mx.

We know that x is typically the input, and m is the constant function.

Y is the output.

So the original function may have been y=200x.

The only difference is now we've been given something to apply to the equation, in place of x.

2. Imagine a cloning machine. Whatever you put in, you get a copy of, and the original thing you put in. Its function would be y=2x. Let's pretend we decided to put three things in; 3 would go where x is.

Y would be the result of 3 copies and their originals, or 2(3).

(6=2(3))

Now, when someone else decides to use the cloning machine, they may put any number in, but the only properties that will change are y and x, not m.

The function will remain y = 2x. Any number could go in place of x, and multiplying x by 2 will give you the y. As long as you have a different value for x, the y will never be the same.

3. So now we have an understanding of what it means, we see that we have been given an x value to insert; an input.

A more practical example could be someting with money. This won't be entirely realistic, because we are dealing with a fraction of a number and another large number.

4. I decided to go with flour. I wanted the 200 to represent pennies, or cents. Before I landed on this, I looked up the cost of flour per pound. I found that the average is .43 dollars, which isn't terribly close to two dollars. But maybe the flour is high quality, so we can stick with that.

5. Seeing that this equation, y=200x, means we are charging 200 cents, or two dollars, we can write a problem from here.

Sylvia is in charge of selling home-harvested flour from an organic farm. She charges two dollars per pound of flower. Today, her next-door neighbors hope to buy a ninth of pound of flour, and they insist on paying with pennies. How many pennies do they need to pay for their order?

Let me know if this helped, or if you have any questions!

Answer:

7

Step-by-step explanation:

x^5/x^-2=x^n

x^5=x^n×x^-2

x^5=x^-2+n

5=-2=n

n=7

this is 100% correct

plzz mark me brainliest

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know Adam's high score was originally 250, but increased to 290. This would most likely affect the mean since the average mean before Adam received a high score of 290, would have been around 180-220.

We can prove this by hypothetically plugging in 220 for the other three players and 250 for Adam's orginal high score. To find the mean add up the total scores and divided them by four (number of people).

mean (maximum total score) = [tex]\frac{220 + 220 + 220 + 250}{4}[/tex]= 227.5

Then we can plug in Adam's high score of 290 that he late receives.

affected mean (maximum total score) = [tex]\frac{220+220+220+290}{4}[/tex] = 237.5

As you can see, the mean of the maximum total scores is increased by 10.

Now for the median.

The order of the numbers from least to greatest is:

Original- 220, 220, 220, 250 - median = 220

After- 220, 220, 220, 290 = 220

So, the median stayed as 220 and did not change.

Hope this helps :D

Answer:

Student A's grade changed the least. It only changed by 3%

Step-by-step explanation:

A: 95-92= 3

B: 87-81= 6

C: 98-94= 4

D: 87-82= 5

Answer:

I know the answer because it is least to greatest so it should be Student A: from 92% to 95%.

Step-by-step explanation:

Answer:

9)Area=64in²

10)Ms.Surruco's classroom

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