A chemical company makes two brands of antifreeze. The first brand is 65% pure antifreeze, and the second brand is 90% pure antifreeze. In
order to obtain 120 gallons of a mixture that contains 80% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answer:

a

Step-by-step explanation:

The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

Learn more about work and time here:

https://brainly.com/question/1063042

#SPJ2

Answer:

by adding profit as your wish or loss

Answer:

When you add variables with exponents, you do not add the exponents together.

The error -> \(y^2+2y^2=3y^4\)

In this case, they have added the exponent \(2+2=4\).

However, you do not add it. Instead, the answer should be \(3y^2\)

The logarithmic function that models the data is given as follows:

y = 1.0994 + 5.6403 ln(x).

The logarithmic function is used as from the table, the data has a initial fast increase and then the rate of the increase decreases, as the graph reaches it's horizontal asymptote.

The function is defined using a logarithmic regression calculator, inserting the points of the data-set.

From the table, the points are given as follows:

(0, 0.5), (1, 1.4), (2, 4.1), (3, 7.6), (4, 9.1), (5, 10).

(as x represents the number of years after 2005).

Inserting these points into the logarithmic regression calculator, the equation is given as follows:

y = 1.0994 + 5.6403 ln(x).

More can be learned about functions at https://brainly.com/question/10709685

#SPJ1

The amount of pounds that an 11-foot beam can support is 496.

Variation is a topic majorly in mathematics which expresses the relations between dependent and independent variables in form of equation. Some types of variation are: direct variation, inverse variation, constant variation etc.

In the given question, let the strength of a beam be represented by S and its length by l.

Thus;

S \(\alpha\) 1/ l^2

S = k/ l^2

where k is the constant of proportionality.

when l = 10 ft, S = 600 pounds, then;

600 = k/(10)^2

600 = k/100

k = 600*100

  = 60000

k = 60000

So that;

S = 60000/ l^2

Now, when l = 11 ft, then;

S = 60000/ 11^2

  = 60000/ 121

  = 495.88

S = 496 pounds

The amount of pounds that 11 ft beam can support is 496.

Learn more about variation at https://brainly.com/question/10252139

#SPJ1

The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

To know more about Coordinates .

https://brainly.com/question/29660530

#SPJ11

Answer:

36

Step-by-step explanation:

largest share = 9parts = 108

1 part = 108÷9 = 12

smallest share = 3parts = 12×3 = 36

Answer:

hope it helped

Step-by-step explanation:

6/7 12/14 18/21

Based on the information, it can be inferred that the data that completes the table are: compounding period: 15, 72, 72, 12, 54, 4. Additionally, Rate per period (%) would be: 1, 4, 0.5, 1.5 , 2.75, 0.75.

To calculate the compounding period we must look at the terms of investment figure, once we know this value, we must multiply it by 12, to know how many months make up that period. Additionally, we must divide the result in the figure of the interest compounded column as shown in the following example:

To calculate the rate per period we must divide the Nominal annual rate into the compounded interest as shown below:

Leanr more about interest compounded in: https://brainly.com/question/14295570

#SPJ1

Answer:

Fraction: 98/100 or 49/50.

Decimal: 0.98

Percentage: 98%

Answer:

i am king . iam a jocker

Answer:

45x4=180 180x180=324000/60=5400

Step-by-step explanation:

Answer:

540 hours i believe

Step-by-step explanation:

45mins X 4 = 3 hours X 180

The values of x and y after solving this system of equations will be 32/35 and -88/105 respectively.

System of equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations.

For a set of two equations, in elimination we make the coefficient of any one variable equal to the coefficient of the same variable in the other equation. This can be done by multiplying or dividing the whole equation accordingly. Then we subtract the equations from each other and solve for one variable.

6x - 3y = 8 (multiplying this equation by -2 to make the coefficient of y equal to that of in the equation 23x + 6y = 16)

Now are equations are

-12x + 6y = -16 and 23x + 6y = 16

subtracting eq 1 from eq 2 gives,

35x = 32 (Note that y has now been eliminated)

x = 32/35

Substituting this value of x in any one of the equations will then give the value of y to be -88/105

To learn more about system of equations visit the link given below:

https://brainly.com/question/12895249

#SBJ4

9514 1404 393

Answer:

  (5x -8) +96 +(5x +2) +4x +4x = 540

  x = 25

Step-by-step explanation:

It usually works to follow directions. The sum of angles is ...

  (5x -8) +96 +(5x +2) +4x +4x = 540 . . . . An equation

  18x +90 = 540 . . . . . . . . . collect terms

  x +5 = 30 . . . . . . . . . divide by 18

  x = 25 . . . . . . . . subtract 5

Answer:

54 Joules

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

correct on edge

Answer:

16.04°

Step-by-step explanation:

\(2.8 \: rad = x \: degrees \\ \)

1rad × 180/π = 57.296°

\(x = 2.8 \times \frac{180}{\pi} = 16.0428 \\ x = 16.04\)

Answer:

all Real numbers?

Step-by-step explanation:

with each pair of (m;n) we have one value of p

Answer:

$1.50

Step-by-step explanation:

If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money

Hope this helps :)

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

The function f(x) and the inverse function h(x) for which the function f(x) is defined by the values (0,3), (1,1), (2,-1) are f(x) = 3 -2x and h(x) = \(\frac{3 - x}{2}\)

A function is a rule which takes each member x of a set and assigns, or maps it to the same value y known at its image.x → Function → yA letter such as f, g or h is often used to stand for a function.

The Function which squares a number and adds on a 3, can be written as f(x) = x2+ 5.

Let the linear function be f(x) = mx + cwhen x = 0, f(x) = 33 = m(0) + cTherefore, c = 3

when x = 1, f(x) = 11 = m(1) + c but c = 31 = m + 3

Therefore m = 1 - 3, which is -2

The linear equation f(x) = 3 - 2x

To solve for inverse function h(x)let y = 3 - 2xmaking x the subject of the equation2x = 3 - yx =\(\frac{3 - y}{2}\)replacing x with h(x) and y with x, we haveh(x) = \(\frac{3 - x}{2}\)

Learn more about inverse functions: https://brainly.com/question/3831584

#SPJ4

Answer:

b = 7.56

C = 9.24

Step-by-step explanation:

Find the last angle of the triangle.

The sum of all the angles in a triangle is  

180 degrees.

A+

90+55=180

A=35

Then find c

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(B)=adj/hyp or Cos(55) = 5.3 / c

re write as

C = 5.3 / cos55

This gives you c = 9.24

Then use the Pythagorean theorem to find the unknown side.

\(a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56\)

Answer:

0.5969 = 59.69% probability that it was a flight of airline A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Left on time.

Event B: From airline A.

Probability of a flight leaving on time:

81% of 48%(airline A).

61% of 26%(airline B)

40% of 26%(airline C). So

\(P(A) = 0.81*0.48 + 0.61*0.26 + 0.40*0.26 = 0.6514\)

Probability of leaving on time and being from airline A:

81% of 48%. So

\(P(A \cap B) = 0.81*0.48 = 0.3888\)

What is the probability that it was a flight of airline A?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3888}{0.6514} = 0.5969\)

0.5969 = 59.69% probability that it was a flight of airline A

Answer:

3.5km

Step-by-step explanation:

77/22=3.5km each

please mark my answer as brainliest!!!<3

Answer:

C

Step-by-step explanation:

On each linear pair, there is one of the Vertical angles and an angle shared between the two angles. This means we can use the fact that supplements of the same angle are congruent.

The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.

In the provided figure.

∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)

∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)

According to transitive property, if a = b and b = c then a = c

Therefore,

∠1 + ∠2 = ∠1 + ∠4...(iii)

⇒∠2 = ∠4

Similarly, we can prove that

∠1 = ∠3

Therefore, we conclude that vertically opposite angles are always equal.

Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".

Thus, statement c is correct.

Find out more information about vertically opposite angles:

https://brainly.com/question/18045519

#SPJ2

Answer:

The elves need to make 120 more gifts.

Step-by-step explanation:

First you need to multiply 200 by .40 which gives you 80. 80 is the number of gifts the elves have made so far, so next you need subtract 80 from 200 (200-80) which gives you the answer of 120 gifts the elves have left to make.

Answer:

The answer is A.15c+3

Step-by-step explanation:

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Step-by-step explanation:

Pick any point on the graph below for a solution: