Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.

Which equation can be used to determine c, the unknown concentration?

30c + 10(0.2) = 40(0.32)
StartFraction 3 Over 4 EndFraction left-parenthesis c right parenthesis plus left-parenthesis StartFraction 1 Over 4 EndFraction left-parenthesis 0.2 right-parenthesis right-parenthesis equals 40 times 0.32.(c) + StartFraction 1 Over 4 EndFraction cup.(0.2) = 40(0.32)
(c)( (0.2)) = 40(0.32)
30(c)(10(0.2)) = 40(0.32)

Answer:

I think 4000000000

Answer: 4,321,109,432 rounded to the nearest billion is 4,000,000,000

Step-by-step explanation:

First, you find the billions place which is right here:

4,321,109,432

Look to the number to the right of it. Is it greater or less than 5? Since it's less, you round down to 0, leaving a 4 and 3 sets of 3 zeroes.

Answer:

Going left to right:

2/5

1/5

1/4

13/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Solution -

[tex]Area\: of \:equilateral \:triangle\: = \: \frac{ \sqrt{3} }{4} a {}^{2} \\ \\ \implies \frac{ \sqrt{3}}{4} \times 14^{2} \\ \\ \implies \: \frac{ \sqrt{3} }{\cancel4} \times \cancel{196} \\ \\ \implies \: \sqrt{3} \times 49 \\ \\ \implies \: \bold\blue{49 \sqrt{3} \:units {}^{2}} [/tex]

Further ,

value of [tex]\bold\orange{\sqrt{3} = 1.732}[/tex]

therefore ,

[tex]Area = 49 \times 1.732 \\ \\ \implies \: \bold\red{84.69 \: units {}^{2} \: (approx.)}[/tex]

hope helpful :D

Answer:

Step-by-step explanation:

use pythagorean theorem a^2 + b^2 = c^2

a = 6, b = 8

6^2 + 8^2 = c^2

100 = c^2

c = -10

since it cant really be negative, the distance becomes 10.

Answer:

Step-by-step explanation:

The circumference formula is

The ratio of the radius to the circumference is

or

r : C = 1 : 6.28

Formula's:

circumference of any circle: 2πr

radius: r

Their ratio:

radius : circumference

r : 2πr

r : 2(3.14)r

1 : 6.28

Answer:

Cost for person is not always the same

For 80 dollars predicted would be 10 people

Step-by-step explanation:

4 people 36 dollars = 9 each

8 people 64 dollars = 8 each  

9 people 72 dollars = 8 each       seems to flatten at 8 dollars each

Answer:

The answer is D. 272

Step-by-step explanation:

All you need to do is find out how many people can be seated at each table, then add them together.

16 x 8 = 128

12 x 12 = 144

128 + 144 = 272

272 students can fit in the cafeteria at once.

I will assume that we are trying to find the slope between (2,-6) and (-9,-6)

The slope's equation ⇒  [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's set the variables:

    (x1, y1) --> (2, -6)

    (x2, y2) --> (-9, -6)

Now let's plug them in:

 [tex]Slope = \frac{-6--6}{-9-2} =\frac{0}{-11} =0[/tex]

Thus the slope of the line is 0.

Hope that helps!

The probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have the probability P(R) of randomly removing a red bead is 20%.

Let's suppose the number of red beads is n(R)

[tex]\rm P(R) = 20\% \Rightarrow 0.20\\\\\rm \frac{n(R)}{15} = 0.20[/tex]

n(R) = 15×0.20

n(R) = 3

Number of yellow beads = 15 -3 = 12

The probability randomly removing a yellow bead:

[tex]=\rm \frac{12}{15}[/tex]

= 0.8 or 80%

Thus, the probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Using quadratic function concepts, it is found that the system that models the height of the tennis ball and the height of the dog's mouth over time is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

It is given by:

h(t) = -16t² + v(0)t + h(0)

In which:

For the tennis ball, we have that v(0) = 18, h(0) = 4.5, hence the equation is:

h(t) = -16t² + 18t + 4.5.

For the dog jump, we have that v(0) = 21, h(0) = 1.5, hence:

h(t) = -16t² + 21t + 1.5.

Hence, the system is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

More can be learned about quadratic function concepts at https://brainly.com/question/24737967

Answer:

D) h = -16t2 + 18t + 4.5 and h = -16t2 + 21t + 1.5

Step-by-step explanation:

The next answer is, "the time at which the ball and the dog's mouth are at the same height"

Answer:

x = 6.08 units

Step-by-step explanation:

For a right triangle

sin = opp leg / hyp

for this triangle    sin 34 =  3.4 / x    re-arrange to

                         x = 3.4 / sin34   = 3.4 / .5591 = 6.08

The Area of the tray ≈380 cm

Hope it helps.

Do comment if you have any query.

Answer:

Assuming

Step-by-step explanation:

If he has a wreck he will ASSUME the risk....his loss

Answer: ....

Ok done. Thank to me :>

Answer:

32,708.3 cu. ft

Step-by-step explanation:

First we find the volume of a sphere with the same dimensions

is the formula for the volume of a sphere

substitute the radius with 25 because radius is half the diameter and use 3.14 for pie. The answer to that formula is 65,416.6

Since you're finding the volume of a hemisphere, divide the volume of the sphere in half

65,416.6/2= 32,708.3

well because he did not do it

Notice how

2x-5 = 2x - 2*2.5 = 2(x-2.5)

This means we can replace x with x-2.5 in the second step, in the "wrong way" column.

So,

y = ln(2x)

y = ln( 2(x-2.5) )

y = ln( 2x - 2*2.5 )

y = ln( 2x - 5 )

In the second step, the x-2.5 tells the reader to shift the curve 2.5 units to the right. Therefore, the 1/2 = 0.5 would shift to 0.5+2.5 = 3 as indicated by the correct graph.

Answer:

if it's m^2-16, than it's B, (m+4)(m-4)

Step-by-step explanation:

remember (a+b)(a-b)=a^2-b^2, or m^2-4^2=m^2-16

Answer:

its B- 6 sq. cm.

Step-by-step explanation:

1/2 times base times height

1/2 x 4 x 3

6

Answer:

The answer is given below

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times perpendicular[/tex]

[tex]area = \frac{1}{2} \times 3 \times 4[/tex]

Area = 1/2 * 12

Area = 6

Answer:

d= 7.62

Step-by-step explanation:

(-1,3)(2,-4)

the formula of distance is-

[tex]d=\sqrt{((x_{2}-x_{1})^2 + (y_{2}-y_{1})^2)} \\\\d=\sqrt{(2+1)^2+(-4-3)^2}\\ d=7.62[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The fraction that shows the number of ounces of filling camilo uses in each empanadas is,

↪32 ounces

☆...hope this helps...☆

_♡_mashi_♡_

[tex] \bold{ \underline{SOLUTION }}[/tex]

Required Answer

Camilo uses ounce = 32

he put emandas = 0

each tray = 3

find how many ounce of filling camilo uses in each empandas

0 × 3 = 0

{and any number is cant divided by zero.}

Thus ,,

32 empanadas fill on each ounce

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

1/2

hope it helps..!!!!!

Answer:

Box 2 has 3 times the volume of Box 1....

Answer:

i think it's 14c5 sincce theres 5 colors to choose from .

Answer:

$76

Step-by-step explanation:

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form of an equation is:

y = mx + b

Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!

Fill in the slope for the m. Fill in the y-intercept for the b.

y = -5x + 9

Answer:

[tex]h = 16.1[/tex]

Step-by-step explanation:

[tex]sin A /a = sin B / b = sin C/c[/tex]   where A is angle and a is side opposite of angle

[tex]sin (49) / h = sin(41)/ 14[/tex]       cross-multiply

[tex]h*sin(41) = 14 * sin(49)[/tex]

[tex]h = (14*sin(49))/ sin(41)[/tex]

[tex]h = 16.1[/tex]