You need 600 mL of a 20% alcohol solution. On hand, you have a 60% alcohol mixture. How much of the 60% alcohol mixture and pure water will you need to obtain the desired solution?

The mismatch in the number of variables in the ratio, implies that the ratio is undefined

The ratio expression is given as:

2 : 5 : 4 = n : 8

In the above ratio expression, we have the following observations:

If the ratio expression is to represent an equivalent expression, then the number of variables on both sides of the expression must be the same

This in other words implies that

When the number of variables on either sides of the ratio expression, then the ratio is either incorrect or undefined

In this case, we can conclude that the ratio is undefined

Hence, the value of n in the ratio given as 2 : 5 : 4 = n : 8 is undefined

Read more about ratio at

https://brainly.com/question/2784798

#SPJ1

Solve the equation and check

___________________

-89 = 11 - 4x

4x = 89 +11

x = 100/ 4

x= 25

________________

Can you see the updates?

___________________

Verifying

if x= 25

so then

-89 = 11- 4*(25)

-80

If x represents the age of the youngest child, then the equation that models this scenario is x+3(x+4) = 5(x+2)-5 and the ages of the three sisters are 7, 9 and 11 years respectively.

According to the question,

We have the following information:

There sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age.

Age of youngest sister = x years

Middle sister = (x+2) years

Oldest sister = (x+4) years

Now, the equation according to the given situation is:

(a) x+3(x+4) = 5(x+2)-5

(b) Now, we can solve this equation:

x+3x+12 = 5x+10-5

4x+12 = 5x+5

12-5 = 5x-4x

x = 7

Middle sister = 7+2 = 9 years

Oldest sister = 7+4 = 11 years

Hence, the equation is x+3(x+4) = 5(x+2)-5 and their ages from the youngest to the oldest are 7, 9 and 11 years respectively.

To know more about equation here

https://brainly.com/question/17736923

#SPJ1

THE FIRST SHAPE LOOKS LIKE A PARALLELOGRAM IN A PARALLELOGRAM OPPOSITE SIDES ARE EQUAL.

THE LAST SHAPE IS A RECTANGLE OPPOSITE SIDES OF ARECTANGLE ARE EQUAL

FOR THOSE OTHER TWO(TRAPEZIUM AND THE OTHER THEY ARE SHAPED SUCH THAT OPPOSITE SIDES ARE NOT EQUAL.

THE FIRST AND LAST SHAPE BEST FIT AS THE SOLUTION OF THE QUESTION.

Given equation is,

Then,

So in the first blank, it will be,

And in the second blank it will be,

Answer:

720

Step-by-step explanation:

Formula: P (n,r) = n! ÷ (n - r)!

n = Total number of objects in a set

r = The number of items you choose

Mark knows the account number includes the numbers 2,3,5,7,8, and 9. There are obviously 6 numbers in total in this set and 6 he must choose in order to have a 6 digit account number, which the problem also directly states he has.

That means P(n,r) = P(6,6)

!/Factorial = Product of all positive numbers less than or equal to the given positive number

Therefore, 6! = 1 x 2 x 3 x 4 x 5 x 6

P (n,r) = P(6,6) = 6! ÷ (6-6)! = 720

Answer: 4500% i think

Step-by-step explanation: no explanations pls

The given functions are

r(x) = - 2x - 2

s(x) = x^2 + 2

To find s(r(4)), the first step is to substitute x = - 2x - 2 into s(x) = x^2 + 2. Thus, we have

s(r(x)) = (- 2x - 2)^2 + 2

s(r(x) = (- 2x - 2)(- 2x - 2) + 2

s(r(x) = 4x^2 + 4x + 4x + 4 + 2

s(r(x)) = 4x^2 + 8x + 6

Finally, we would substitute x = 4 into s(r(x) = 4x^2 + 8x + 2. Thus, we have

s(r(4)) = 4(4)^2 + 8(4) + 6

s(r(4)) = 64 + 32 + 6

s(r(4)) = 102

Basketball should have 20.64 ft/s initial velocity.

When an object is moving, its velocity is the direction at which it is moving as a measure of how quickly its location is changing as seen from a certain point of view and as measured by a specific unit of time. velocity. It is the quickness, swiftness, or speed of movement, action, or operation. A measurement of a body's rate of motion in physics is the rate at which its location changes over time in a certain direction.

Given Data

The parabola y=(-16x2/0.434v2)+1.15x+8 can be used to represent the ath of a basketball through a hoop, where v is the ball's speed in feet per second, y is the hoop's height, and x is the distance from the hoop. When the basketball hoop is 10 feet high and 17 feet away, the following is true:

y = (-16x⁰.434v²)+1.15x+8

10 = [-16(17)⁰.434v²] + 1.15(17) + 8

v = 24.64 ft/s

To learn more about velocity, visit:

https://brainly.com/question/2386084

#SPJ9

The given temperature in degrees Celcius is  -19.89°.

So, the formula for conversion from Celsius to Fahrenheit:

F given is -3.8°.

Now, insert the value in the formula to find the temperature in Celcius.

Therefore, the given temperature in degrees Celcius is  -19.89°.

Know more about temperature here:

https://brainly.com/question/25677592

#SPJ9

Answer: The answer is 5

Step-by-step explanation:

We will say that x is the salary before the raise, to calculate how much the salary grows, we just have to take the given percent from x, in this case, the payment increased by 4% (0.04 expressed in decimal form) then the increased amount would be x times 0.04.

Salary increase = x*0.04 = 0.04x

Adding 0.04 x to the original salary x (before applying the increase) we get the actual monthly salary, $2,496, then we can formulate the following expression:

Current salary = original salary + salary increase

2,496 = x + 0.04x

From this equation, we can solve for x like this:

1. Factoring x on the right side of the equation:

2,496 = x(1+0.04)

2. making the sum inside the parentheses:

2,496 = x*1.04

3. Dividing both sides by 1.04:

2,496 / 1.04 = x * 1.04 / 1.04

2400 = x

x = 2400

Then, Linda was making $2400 before the pay increase

Answer:

102 adults, 165 children

Step-by-step explanation:

Let a be the number of adults, and let c be the number of children. We set up and solve this system of equations:

a + c = 267---------> 7a + 7c = 1869

12a + 7c = 2379------->12a + 7c = 2379

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

5a = 510

a = 102, c = 165

Answer:

The sand is 2/5 and the cement is 5/7

Step-by-step explanation:

You need to get the total parts of both by adding the numerator and the denominator, and then divide the amount of parts by the total amount of parts.

The rate of change of y with respect to x for this function is equal to: C. 2.

In Mathematics and Geometry, the rate of change (slope) of any straight line can be determined by using this mathematical equation;

Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope) = rise/run

Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the rate of change (slope) of a line, we have the following;

Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)

Rate of change (slope) = (5 - 1)/(2 - 0)

Rate of change (slope) = 4/2

Rate of change (slope) = 2.

Read more on average rate of change here: brainly.com/question/26938069

#SPJ1

Family of lines characteristics

b) 6x + By = 24

find x-intercept

24/6 = 4. = C/A

y= 0

Then ANSWER IS

x- intercept= (4,0)

2nd part

c) Ax - 7y= 21

Find y- intercept

C/B= 21/-7 = -3

Also

x=0

Then. ANSWER IS

y-intercept is = ( 0,-3)

Given the graph, we can find the line of best fit by its definition.

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below ...

e caun use this idea above alongside survey the graph and see which lines fall into place.

By observation,

Answer: Line B is the line of best fit.

By solving a system of equations we will see that 8 cups were sold on store A.

Let's define:

c= cups sold on store A.

p = plates sold on store A.

pᵇ = plates sold on store B

cᵇ = cups sold on store B.

For "Store B sold twice as many cups and half as many plates"

We can write:

pᵇ = 0.5*p

cᵇ = 2*c

We can write the system of equations:

c + p = 36

0.5*p + 2*c = 39

We want to solve this for c, so we isolate p on the first equation and replace that in the second one.

p = 36 - c

0.5*(36 - c) + 2c = 39

18 + 1.5*c = 30

1.5*c = 30 - 18

1.5*c = 12

c = 12/1.5 = 8

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

The correct expression to show the distance between 2 and -7 is :

∣∣2−(−7)∣∣

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

2x + 3 is an example of a variable mathematical expression. Every variable must have a coefficient, which is a number multiplied by the variable. The coefficient of x in the formula 2x + 3 is the number 2, and it signifies 2 times x plus 3.

The expression that shows the distance on the number line between 2 and −7 is |2−(−7)|. If we solve the given expression to calculate the distance then it can be solved as,

||2−(−7)||

= ||2 + 7||

= ||9||

= 9

Hence, the expression that shows the distance on the number line between 2 and −7 is 9 units.

Learn more about Expression here:

brainly.com/question/13947055

#SPJ1

Answer:

B

Step-by-step explanation:

Percentages represent the fraction over 100.

106 would be student's score on ACT metric.

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range. It demonstrates how different things are from the standard.

Given Data

Mean = 500

Standard deviation = 100

ACT metric

Mean = 20

Standard deviation = 5

Score = [tex]\frac{550-20}{5}[/tex]

Score = [tex]\frac{530}{5}[/tex]

Score = 106

106 would be student's score on ACT metric.

To learn more about mean and standard deviation, visit:

https://brainly.com/question/10528201

#SPJ9

Answer:

a) [tex]6x^2 + 17x + 31 + \frac{70}{x-2}[/tex]

Step-by-step explanation:

(see attachments for explanation)

The law that was illustrated by the following 0 + 12 m is the same as 12 m is addition of zero.

The addition of zero law can be described as the law that says that whenever a particular number is been added to zero then the result of that addition will be that particular number.

It should be noted that this Identity Law of Addition can be seen in the given example where zero is added to 12m which gives the result of 12m which implies that the particular number 12m is added to zero and it gives the particular number 12m as the answer.

Read more about addition here:

https://brainly.com/question/24536701

#SPJ1

ANSWER:

STEP-BY-STEP EXPLANATION:

Let p be the figure of the pentagon.

We can establish the following equation:

Therefore, the correct answer is the 4th option a) 2p + 5 = 21

The water pressure on a submerged object is given by P = 64d, then the

a. The answer to the subject of the formula, "d," is d = P/64.

b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.

What is a function?

A function can be defined as an expression, law or rule that shows the relationship between two variables.

These variables are namely;

given the role as;

P = 64d

Where;

P stands for pounds per square foot of pressure.

d represents the object's depth in feet.

Let's now make the variable "d" the focus of the formula.

The coefficient of the variable "d," which is 64, is used to divide both sides of the equation. So that the variable can stand on its own, this is done.

We possess

P/64 = 64d/64

d = P/ 64

P equals 672 pounds per square foot if there is pressure.

When the variable's value is substituted into the formula, we get;

d = P/64

Then,

d = 672/64

Discover the quotient.

d = 10. 5 ft.

The value is 10.5 feet.

Therefore,

a. The answer to the subject of the formula, "d," is d = P/64.

b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.

To learn more about information visit Function :

brainly.com/question/28829257

#SPJ1

Answer:

Here is a suggestion I hope I helped

The option (A) the graphs are reflections of each other across the line y=x, and option (D) f(f⁻¹(x)) = x are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the b is related to exactly one value in the range.

The functions f(x) and f⁻¹(x) are inverses of each other.

As we know, the graph of the function and inverse function are reflections of each other about y = x.

From the property of the inverse of function:

f(f⁻¹(x)) = x

Thus, the option (A) the graphs are reflections of each other across the line y=x, and option (D) f(f⁻¹(x)) = x are correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

The number such that when 3/4of it is added to 3 whole number 1/2 the sum is the same as when 2/3 of it is subtracted from the 6 whole number 1/2 is 36/17

A fraction, which derives from the Latin word fractus, which means "broken," is a portion of a whole or, more broadly, any number of equal pieces. A fraction, such as the one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. A common, vulgar, or simple fraction is one that has a non-zero denominator that is displayed below (or after) the line on which the numerator is shown. Compound fractions, complicated fractions, and the mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.

The numerator and denominator of the positive common fractions are both natural integers. The denominator tells how many of those equal parts make up single unit or fraction, whereas the numerator represents the number of equal parts. Since a whole can never be made up of zero parts, denominator cannot be zero.

3/4 of it is added 3 1/2 sum is the same way as when 2/3 of it is subtracted from 6 1/2

The way I see it is

[tex]\frac{3}{4} x+3\frac{1}{2} = 6\frac{1}{2}-\frac{2}{3} x[/tex]

[tex]\frac{17}{12} x= 3[/tex]

[tex]x=\frac{36}{17}[/tex]

To know about fraction visit: https://brainly.com/question/10354322

#SPJ9

Answer:

B is the answer

Step-by-step explanation: