A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains pure antifreeze. The company wants to obtain gallons of a mixture that contains pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answer:

Step-by-step explanation:

x = -2x + 6

3x = 6

x = 2

y = 2(2)

y = 4

(2,4)

Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

Answer:

When you have an imaginary number in the denominator multiply the numerator and the denominator by the conjugate of the denominator.

Answer:

undefined

Step-by-step explanation:

division by zero is undefined

Division Property of zero

For any nonzero real number a

The quotient of "a" and 0 is undefined. That is a/0 is undefined

Step-by-step explanation:

there is nothing missing. this is a complete proof.

yes, the various steps are correct.

Answer:

  525

Step-by-step explanation:

The demand at a price of 205 is ...

  Qd = 2600 -5(205) = 2600 -1025 = 1575

The supply at a price of 205 is ...

  Qs = -1000 +10(205) = 2050 -1000 = 1050

The demand exceeds the supply by ...

  1575 -1050 = 525

The shortage is 525 units.

Answer: i cant draw A here but B is 84%

Step-by-step explanation:

30%+54%=84% (i think)

Answer:

mode of this question is 71

Answer:

71

Step-by-step explanation:

because mode is the number that occurs most frequently

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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Additive inverse property of real numbers was used to transition from step 3 to step 4

The property of real numbers used to transition from Step 3 to Step 4 is the additive inverse property or the property of adding the opposite. The additive inverse property states that for any real number a, there exists an additive inverse -a, such that a + (-a) = 0. In other words, adding the opposite of a number results in the sum being zero.

In Step 3 of the given expression, we have "12 + (-12) + 6x." Notice that "-12" is the opposite of "12." To simplify this expression further, we can apply the additive inverse property by combining the positive and negative numbers.

Adding 12 and its additive inverse (-12) results in 0, according to the additive inverse property. So, in Step 4, we replace "12 + (-12)" with "0." By applying the additive inverse property, the expression simplifies to "0 + 6x," which can be further simplified to just "6x."

The use of the additive inverse property is crucial in algebraic simplifications as it allows us to eliminate terms that add up to zero. This property helps streamline calculations and reduce complex expressions to simpler forms.

Overall, the transition from Step 3 to Step 4 in the given expression utilizes the additive inverse property to eliminate the sum of opposite numbers and simplify the expression to its final form, which is "6x."

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Answer:

yes

Step-by-step explanation:

Answer:

Yes. If no right angle exists, then it's not a rectangle.

Step-by-step explanation:

The probability P(5) as a fraction is 1/8 and P(number > 2) as a percentage is 75%

P(5) represents the probability of landing on the number 5 when spinning the spinner.

Since there is only one 5 on the spinner and a total of eight possible outcomes, the probability of landing on 5 is 1/8.

Therefore, P(5) as a fraction is 1/8.

To find P(number > 2) as a percentage, we need to calculate the probability of landing on a number greater than 2.

The numbers greater than 2 on the spinner are 3, 4, 5, 6, 7, and 8.

There are six favorable outcomes out of eight possible outcomes.

P(number > 2) = 6/8 = 3/4

To express this as a percentage, we multiply the fraction by 100:

P(number > 2) as a percentage = (3/4) × 100 = 75%

Therefore, P(number > 2) as a percentage is 75%.

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Answer: 6.25

Step-by-step explanation: simple division

You can afford to purchase 4054 lemons with $15 at the rate of 0.37 cents per lemon

From the question, we have the following parameters that can be used in our solution:

Amount invested = $15

Unit rate of lemon = 0.37 cent

Convert cent to dollars ($)

So, we have

Unit rate of lemon = $0.0037

From the above parameter, we can calculate the number of lemon using the following formula of unit rate

The unit rate is calculated as

Unit rate = Amount invested/Number of lemons

This gives

Number of lemons = Amount invested/Unit rate

Substitute the known values in the above equation

So, we have the following equation

Number of lemons = 15/0.0037

Evaluate the quotient

Number of lemons = 4054

Hence, the number of lemons you can buy is 4054

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Answer:

The answer to 75 - ( 8 + 45 ÷ 3 ) × 2= 29

Answer:

$199.29

Step-by-step explanation:

Total payments = $7,174.24

Total interest = $1,174.24

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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The rectangle has a length of 8 units along the top and bottom sides, and a height of 6 units along the vertical sides.

A rectangle is a four-sided flat shape with four right angles (90 degree angles) between the sides. It is a type of quadrilateral, which means a shape with four sides.

To find the length of the sides of the rectangle, we can use the distance formula:

d = √((x2 - x1)²+ (y2 - y1)²)

Using the coordinates (-4,4) and (4,4) for the two endpoints of the top side of the rectangle, we get:

d = √((4 - (-4))² + (4 - 4)²) = 8

Since the top side has length 8 and there are two top and two bottom sides of equal length, the perimeter is:

20 = 28 + 2L

where L is the length of one of the vertical sides. Solving for L, we get:

L = (20 - 2*8)/2 = 2

Therefore, the length of the vertical sides of the rectangle is 2 units.

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The length of rectangle is 8 units on the x-axis, and the width of rectangle is 4 units along the y-axis.

The whole distance encircling a rectangle's edge is known as its perimeter. It is the total of the measurements of the rectangle's four sides.

The formula for calculating the perimeter P of a rectangle with length L and width W is as follows:

P = 2L + 2W

According to question:

To find the length of the sides of the rectangle, we can use the distance formula:

\(d = \sqrt{((x_{2} - x_{1} )^2+ (y_{2} - y_{1})^2)}\)

Using the coordinates (-4, 4) and (4, 4)

\(d = \sqrt{((4 - (-4) )^2+ (4 - 4)^2)}\) = 8 units

L (length) = 8 Units

So, the length of the horizontal sides (x-axis) of the rectangle is 8 units.

then, the top side has length 8 and there are top and bottom sides are equal length, the perimeter is: P = (8+8) + 2W

20 = 16 + 2W

where, L is the length of one of the vertical sides. Solving for L, we get:

W = (20 - 16)/2 = 2

So, the length of the vertical sides (y-axis) of the rectangle is 2 units.

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Answer:

Step-by-step explanation:

Given function:

x- intercept is:

y-intercept is:

Correct answer choice is (b)

Answer:

B) X intercept = (-1/3,0) and Y Intercept = (0,-3/2)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for y  and solve for  x .

To find the y-intercept, substitute in  0  for x  and solve for  y .

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

The Length Of Shortest Side Would Be 3.

In Case Of 30-60-90 triangle, the length of the shortest side is half of that of hypotenuse .

Answer:

Ishaan could make 7 possible combinations of meals.

Step-by-step explanation:

Number of subsets in a set of n elements:

The number of subsets in a set of n elements is given by: \(2^{n}\)

In this question:

3 dishes.

\(2^{3} = 8\)

only one, two of them, or all three of the dishes.

Considering the dishes, there are no empty set(there cannot be an order with no dishes), so 8 - 1 = 7

Ishaan could make 7 possible combinations of meals.

The equation of the line that passes through the point (-6, -8) and is parallel to the line x - 2y = 6 is y = (1/2)x - 5

An equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

To find the equation of a line that passes through a specific point and is parallel to another line, we can use the slope of the other line and the coordinates of the specific point.

The given line has the equation x - 2y = 6. To put this equation in slope-intercept form, we can add 2y to both sides, giving us x = 2y + 6. Rearranging the terms gives us y = (1/2)x + 3. This is the equation of the given line in slope-intercept form, with slope m = 1/2 and y-intercept (0, 3).

Since the line we are trying to find is parallel to the given line, it will have the same slope of 1/2. We can use this slope and the coordinates of the specific point (-6, -8) to write the equation of the line in slope-intercept form:

y = (1/2)x + b

-8 = (1/2)(-6) + b

-8 = -3 + b

b = -8 + 3

b = -5

Substituting this value of b into the equation gives us the final equation:

y = (1/2)x - 5

Thus, y = (1/2)x - 5 is the equation of the line that passes through the point (-6, -8) and is parallel to the line x - 2y = 6.

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Complete Question

What is an equation of the line that passes through the point (- 6, - 8) and is parallel to the line x - 2y = 6 ?

Answer:

\(P(X = 1) = C_{10,1}.(\frac{1}{6})^{1}.(1-\frac{1}{6})^{9} = 0.323\), the correct answer is given by option c.

Step-by-step explanation:

For each roll, there are only two possible outcomes. Either it is a five, or it is not. The probability of a roll being a five is independent of any other roll. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The die has 6 sides:

One is five, so:

\(p = \frac{1}{6}\)

10 tosses:

This means that \(n = 10\)

Probability of getting exactly one five.

This is P(X = 1). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{10,1}.(\frac{1}{6})^{1}.(1-\frac{1}{6})^{9} = 0.323\)

\(P(X = 1) = C_{10,1}.(\frac{1}{6})^{1}.(1-\frac{1}{6})^{9} = 0.323\), the correct answer is given by option c.

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

The last one

Step-by-step explanation:

Answer: A

Step-by-step explanation:

I crossed out the answers as I went and I got the answer A.

Answer:

13.5

Step-by-step explanation:

Entered in Calculator.

Answer:

13.5

Step-by-step explanation:

Answer:

13.15 is ur answer hope this helped!

each ticket costs $13.15

Answer:

1 +  29

3 + 27

5 + 25

7 + 23

9 + 21

11 + 19

13 + 17

15 + 15

~theLocoCoco