A concert ticket costs $7.25. After paying for your ticket, you now have $167.23 in your account. How much money did you have in your account before you bought the ticket?
Write an equation to represent the problem.
Use "x" for the variable.
*The variable can't be alone*

Answer:

y=7x+50

Step-by-step explanation:

y=mx+c

m=7 (9-1/-3+7)

----------

1=7(-7)+c

c=50

The volume of the rectangular pyramid is 54,600 feet³.

what exactly is a rectangular pyramid?

A rectangular pyramid is a geometric solid that has a rectangular base and triangular sides that come together at the apex. In other terms, it's a pyramid with a rectangular base. Four sides and four right angles make up the rectangular foundation (90 degrees). The four triangle sides are all the same shape and size, and they slope upwards to form a point at the top. The perpendicular distance from the peak to the base is the pyramid's height. The volume of a rectangular pyramid is calculated as V = (1/3)Bh, where B is the area of the rectangle base and h is the pyramid's height.

Now,

The volume of a rectangular pyramid :

V = (1/3) * length * width * height

Substituting the given values, we get:

V = (1/3) * 39 feet * 20 feet * 70 feet

V = 54,600 feet³

Therefore, the volume of the rectangular pyramid is 54,600 feet³.

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Answer: $28-$33

Step-by-step explanation: Call the cost per pair x. She buys the first pair full price, so x, then 2 dollars off, so x-2, and 2 dollars off, so x-2, adding them up you get 3x-4= total money spent. Sinze this ranges from 80-95 solve equations and you get 28 and 33 respectively.

Answer:

28\3

Step-by-step explanation:

Answer: 7 inches

Step-by-step explanation:

From the question, we are informed that the ratio of the side length of a square to the square's perimeter is always 1 to 4.

We are further told that Peter drew a square with a perimeter of 28 inches. The side length of the square Peter drew will be gotten by dividing 28 inches by 4. This will be:

= 28/4

= 7 inches

Therefore, the side length or the square is 7 inches.

Answer:Not possible to divide really.

Step-by-step explanation: Don't get your quetsion where's the statement or wtv?...

Answer:

.86

Step-by-step explanation:

Exponential function formula

\(y = a ( 1 + or - r ) ^t\)

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

The engineer should consider using copper or steel materials for their lightning protection shield, taking into account their conductivity, durability, and availability.

When considering materials for a shield to protect against lightning strikes, there are a few key properties to consider: conductivity, durability, and availability. Based on these factors, the engineer should consider using copper or steel for their shield.

Copper is an excellent conductor of electricity, which makes it a suitable material for shielding against lightning strikes. It can effectively divert the electrical current away from the person or object being protected. Copper is also relatively durable and readily available, making it a practical choice for this application.

Steel, on the other hand, is not as good a conductor as copper but still offers some level of protection. It is strong and durable, which can provide physical protection from the impact of lightning strikes. Steel is widely available and often used in structures that need to withstand lightning strikes.

Rubber is not a suitable material for a lightning protection shield. It is an insulator and does not conduct electricity. While rubber can provide some level of insulation against electrical currents, it is not effective in redirecting or dissipating the high energy of a lightning strike.

Gold is not a practical choice for a lightning protection shield due to its high cost and limited availability. While gold is an excellent conductor, its use in this application would be impractical and unnecessary.

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Answer:

The monthly installment for the hire purchase of the motorbike is GHC 27.00

Step-by-step explanation:

To calculate the monthly installment for the hire purchase, we can divide the total cost by the number of months:

Monthly installment = Total cost / Number of months

In this case, the total cost is GHC 540.00 and the number of months is 20:

Monthly installment = GHC 540.00 / 20

Monthly installment = GHC 27.00

Therefore, the monthly installment for the hire purchase of the motorbike is GHC 27.00

An

Step-by-step explanation:

y=600x+220

explanation
its the relationship between sales and wages the base wage is  2200 and an increase of 600 per car sold

The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.

A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.

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Answer:

I am pretty sure it is D. (1:2, 2:4, 3:6)

Step-by-step explanation:

Have a great day! Thanks!

Answer:

100

Step-by-step explanation:

hope this helps! :))

Answer: 100

Step-by-step explanation:

A perfect square can be found when you multiply the same integer twice. 100 is a perfect square because 10 * 10 = 100. You multiply 10 twice in the equation.

Therefore, the insect population will remain stable, neither increasing nor decreasing and the estimated  stable population is 2.

Given the equation:3-12+16 PO) 15-2+1

In order to determine the stability of a population of insects, we must first calculate the equilibrium value of PO.

A population's equilibrium is defined as the point at which the population remains stable over time, indicating that the population is neither declining nor growing indefinitely.

Stable population equilibrium is defined as follows:

Let P* be the equilibrium value of the population.

This implies that:P* = 15 - 2 + 1 / 3 - 12 + 16

This simplifies to:P* = 14/7 or 2

Therefore, the equilibrium value of the insect population is 2. If the population is greater than 2, it will decrease. If it is less than 2, it will increase.

In this case, the population of insects will settle into an equilibrium state.

The value of the stable population is 2.

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Answer:

Answer: The Equation of the Line Passing through the given Points (-1, 5), (1, 3) is x + y = 4.

Step-by-step explanation:

Given: (x1, y1) = (-1, 5) and (x2, y2) = (1, 3)

Let's calculate the slope below,

According to the Slope Formula,

(m) = (y2 − y1) / (x2 − x1)

Substituting the values,

Slope(m) = (3 - 5) / (1 - (-1))

m = -2/2

m = -1

The point-slope formula states (y − y1) = m (x − x1).

Substituting the values of (x1, y1) = (-1, 5) and m = -1, we get,

(y - 5) = -1 × (x - (-1))

⇒ y - 5 = - x - 1

⇒ x + y = 4

Hence, the equation of the line passing through the given points (-1, 5), (1, 3) is x + y = 4.

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Answer:

\( \frac{ - 1 - 5}{3 + 1} = \frac{y - 5}{x + 1} \\ \frac{ - 6}{4} = \frac{y - 5}{x + 1} \\ \frac{ - 3}{2} = \frac{y - 5}{x + 1} \\ - 3(x + 1) = 2(y - 5) \\ - 3x - 3 = 2y - 10 \\ 2y = - 3x - 7 \\ \boxed{y = - \frac{3}{2} x + \frac{7}{2} } \\ alternative:\ method\\ y = mx + c \\ 5 = - m + c...(1) \\ - 1 = 3m + c...(2) \\ (2) - (1) \\ - 6 = 4m \rightarrow \: m = - \frac{6}{4} = - \frac{3}{2} \\sub \: in...(1) \\ 5 = - ( - \frac{3}{2} ) + c \\ c = 5 - \frac{3}{2} \\ c = \frac{7}{2} \\\boxed{y = - \frac{3}{2} x + \frac{7}{2}}\)

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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The team jogged longer in the afternoon because they covered a distance of 6 eighths of a mile, which is greater than the 3 eighths of a mile they covered in the morning.

To compare the distance jogged in the morning and afternoon, we need to find the common unit for both. We can convert both fractions to have the same denominator by finding the least common multiple (LCM) of 8 and 4, which is 8.

So, in terms of eighths of a mile, the distance jogged in the morning is:

3/8 miles = 3 eighths of a mile

And the distance jogged in the afternoon is:

3/4 miles = 6 eighths of a mile (since 3/4 = 6/8)

Therefore, the team jogged longer in the afternoon because they covered a distance of 6 eighths of a mile, which is greater than the 3 eighths of a mile they covered in the morning.

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Answer:

(n-6)/2 ≥ 2n-15

Step-by-step explanation:

(n-6)/2 ≥ 2n-15

Answer:

(-3/4, -7/2)

Step-by-step explanation:

y= −2x − 5

y= 2x − 2

2y = -7

y = -7/2

y= 2x − 2

-7/2 = 2x - 2

2x = -3/2

x = -3/4

(x,y) = (-3/4, -7/2)

Answer:

-3/4 or -7/2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

C describes theta moving +5 units. In math, negative goes left, negative goes left. However, since there are no negative values involved, we can assume that theta will move 5 units to the left in terms of absolute value, which excludes the need for the negative to be moved left. Therefore, the answer is C due to this change.

I hope this helps, let me know if anything confuses you, and I will try my best to make it less confusing.

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer:

Step-by-step explanation:

dbbx

Answer:

The answer is that both plans are equal.

Step-by-step explanation:

you start by putting the plans into an equation then you set them equal to each other. you need to assign a variable for the number of months. we'll call it M. It would look like this:

plan A - 25 + 8M

plan B - 5 + 12M

25 + 8M = 5 + 12M

Then you solve which looks like this:

25 + 8M = 5 + 12M

     -8M            -8M

25 = 5 + 4M

-5    -5

20 = 4M

/4       /4

5 = M

Now we aren't done after finding out what M equals. We still need to know what each plan will cost. So, we substitute what M equals into the equation. if they both end up equaling the same thing then its equal. if you get two different numbers they aren't. it would look like this:

25 + 8(5) = 5 + 12(5)

25 + 40 =  5 + 60

65 = 65

They are equal. Both plans will cost 65 dollars.

Solution

David simplified a polynomial

For the first step

Open the brackets

The first step is correct.

For the second step

Collect like terms

The second step is correct

For the third step

Add up the like terms

The third step is correct.

Hence, David did not make a mistake

Answer:

Gender equality is when people of all genders have equal rights, responsibilities and opportunities. Everyone is affected by gender inequality - women, men, trans and gender diverse people, children and families. It impacts people of all ages and backgrounds.  We need gender equality urgently. Gender equality prevents violence against women and girls. It’s essential for economic prosperity. Societies that value women and men as equal are safer and healthier. Gender equality is a human right. Everyone benefits from gender equality.

Step-by-step explanation:

The value of x for the given expression is,  x = 4 / (3√2 - √3).

What is solving an equation?

A General Rule for Equation Solving:

Simplify each side of the equation by removing parentheses and combining like terms.

To separate the variable term on one side of the equation, use addition or subtraction.

To find the variable, use division or multiplication.

Given;

√3x + 2 = 3√2x - 2

⇒

3√2x - √3x = 2 + 2

(3√2 - √3)x = 4

Divide both sides by 3√2 - √3

⇒  x = 4 / (3√2 - √3)

Hence, the value of x for the given expression is,  x = 4 / (3√2 - √3).

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The family of functions P = C1e^t / (1 + C1e^t) is a solution to the differential equation dP/dt = P(1 - P) on an appropriate interval of definition.

In the first paragraph, we summarize that the family of functions P = C1e^t / (1 + C1e^t) is a solution to the differential equation dP/dt = P(1 - P). This equation represents the rate of change of the variable P with respect to time t, and the solution provides a relationship between P and t. In the second paragraph, we explain why this family of functions satisfies the given differential equation.

To verify the solution, we can substitute P = C1e^t / (1 + C1e^t) into the differential equation dP/dt = P(1 - P) and see if both sides are equal. Taking the derivative of P with respect to t, we have:

dP/dt = [d/dt (C1e^t / (1 + C1e^t))] = C1e^t(1 + C1e^t) - C1e^t(1 - C1e^t) / (1 + C1e^t)^2

      = C1e^t + C1e^(2t) - C1e^t + C1e^(2t) / (1 + C1e^t)^2

      = 2C1e^(2t) / (1 + C1e^t)^2.

On the other hand, evaluating P(1 - P), we get:

P(1 - P) = (C1e^t / (1 + C1e^t)) * (1 - C1e^t / (1 + C1e^t))

        = (C1e^t / (1 + C1e^t)) * (1 - C1e^t + C1e^t / (1 + C1e^t))

        = (C1e^t - C1e^(2t) + C1e^t) / (1 + C1e^t)

        = (2C1e^t - C1e^(2t)) / (1 + C1e^t)

        = 2C1e^t / (1 + C1e^t) - C1e^(2t) / (1 + C1e^t).

Comparing the two sides, we see that dP/dt = P(1 - P), which means the family of functions P = C1e^t / (1 + C1e^t) is indeed a solution to the given differential equation.

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