If Paul has $1462 left after spending 1/4 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill, what was his monthly salary?

The correct statement is :David started at 0 instead of 2

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

Given here: In a number line the interval (-5,5) is marked and 2 to 5 is 3

The right steps are

Add 3 to 2 to obtain the required number as there are 3 spaces between 2 and 5

Thus 2+3=5 which is the required answer

but David addes 2-3=-1 which is incorrect.

Hence, David started at 0 instead of 2

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Answer:

Step-by-step explanation:

In one hour pump1 can fill 1/8 of the tank and pump2 can fill 1/10 of the tank.

Two pumps can fill:

Time required to fill the tank:

Answer:

A

Step-by-step explanation:

When dilating an object, you multiply the x and y values by whatever scale you want to dilate the object by. It cannot be C because 2/5 is less than 1, which means that the object would shrink. So the answer must be A

Answer:

y=-13+3x

Step-by-step explanation:

-1(3x-y)=-13

-3x+y=-13

y=-13+3x

Answer:

THE ANSWER IS C ON EDGE.

Step-by-step explanation:

If both sides of the graph are pointing in the same way, THE FUNCTION HAS AN EVEN DEGREE.

The degree of a polynomial is the highest power of the polynomial.

Graph 3 has an odd degree.

From the attachments, we have the following highlights

The above highlights mean that:

Hence, graph 3 has an odd degree.

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\( - 6 - 2\)

\( = - 4\)

commutative property.

\( 19 - 2\)

\( = 17\)

commutative property.

\( - 7 - 2\)

\( = - 9\)

closure property.

Answer:

-65

Step-by-step explanation:

6.5*2*-5=-65

Answer:

65

Step-by-step explanation:

-6.5 x 2 x -5

-6.5 x 2

-13

-13 x -5

65

Answer:

The correct option is G.Hope this help!!

Just factor out

\(\\ \rm\hookrightarrow \dfrac{x^2-6x+9}{6x-18}\)

\(\\ \rm\hookrightarrow \dfrac{x^2-3x-3x+9}{6(x-3)}\)

\(\\ \rm\hookrightarrow \dfrac{x(x-3)-3(x-3)}{6(x-3)}\)

\(\\ \rm\hookrightarrow \dfrac{(x-3)(x-3)}{6(x-3)}\)

\(\\ \rm\hookrightarrow \dfrac{x-3}{6}\)

Coefficient of the variable = -2

The terms are -2x and 5

The constant is 5

The degree is 1

An algebraic expression can be defined as a type of mathematical expression that is made up of terms, coefficients, variables, constant numbers and factors.

Algebraic expressions are also composed of certain mathematical or arithmetic operations.

These operations are given as;

From the information given, we have the algebraic expression as;

-2x + 5

Coefficient of the variable = -2

The terms are -2x and 5

The constant is 5

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Rounding to the nearest whole value, we get the estimated number of observations above 118 as 2940.

To determine the number of observations expected to be below a certain value using the 68-95-99.7 Rule, we need to find the area under the normal distribution curve up to that value.

For the first scenario:

Mean (μ) = 162

Standard deviation (σ) = 11

Value to evaluate (x) = 195

We want to find the area under the curve to the left of x = 195. This corresponds to the cumulative probability of a value being less than 195 in a normal distribution.

Using a standard normal distribution table or a calculator, we can find that the cumulative probability for x = 195 is approximately 0.961. This means that about 96.1% of the observations are expected to be below 195.

To find the number of observations, we multiply the cumulative probability by the total number of observations:

Number of observations = 0.961 * 2400 = 2306.4

Rounding to the nearest single observation, we get the estimated number of observations below 195 as 2306.

For the second scenario:

Mean (μ) = 137

Standard deviation (σ) = 19

Value to evaluate (x) = 118

We want to find the area under the curve to the right of x = 118. This corresponds to the cumulative probability of a value being greater than 118 in a normal distribution.

Using the same approach, we can find that the cumulative probability for x = 118 is approximately 0.735. This means that about 73.5% of the observations are expected to be above 118.

To find the number of observations, we multiply the cumulative probability by the total number of observations:

Number of observations = 0.735 * 4000 = 2940

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Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

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Probability (p) of a) Φ(.98) - Φ(-1.45), b) 1 - Φ(-.68) and c) standard normal variable (z) is Φ^(-1)(.0427).

In these questions, z refers to a standard normal variable with mean 0 and standard deviation 1. The cumulative distribution function (CDF) of a standard normal variable can be used to find probabilities for given intervals.

a) To find the probability that -1.45 < z < .98, we can use the CDF to find the area under the standard normal curve between these two values:

p(-1.45 < z < .98) = P(z < .98) - P(z < -1.45) = Φ(.98) - Φ(-1.45)

b) To find the probability that z > -.68, we can use the CDF to find the area under the standard normal curve to the right of this value:

p(z > -.68) = 1 - P(z < -.68) = 1 - Φ(-.68)

c) To find the value of z for a given area to the left of z, we can use the inverse CDF (also called the quantile function) of a standard normal variable, denoted as Φ^(-1)(p). This gives us the value of z such that the area to the left of z is equal to p.

p = .0427, so z = Φ^(-1)(.0427).

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Answer:

A and C are correct

Step-by-step explanation:

Answer:

A and C are the right answers.

Step-by-step explanation:

Answer:

25 new cans

Step-by-step explanation:

Given that:

Number of aluminum cans needed to make a new can = 5

total number of aluminum cans = 125

Number of new cans that can be made :

Total number of aluminum cans / aluminum cans needed to make a new can

= 125 / 5

= 25 new cans

Answer:

x=10

y=40

Step-by-step explanation:

The shape is a parallelogram, therefore we know that opposite sides are equal to each other. So,

x + 18 = 3x - 2

Add 2 to both sides and subtract x from both sides

20 = 2x

divide both sides by 2

10 = x

Now, we have the other two sides;

4x = y

We already know that x = 10, so just plug that into the equation.

4(10) = y

40 = y

Answer:

$ - 2

Step-by-step explanation:

$19 - $13 + 2 - $14  + 4 = - $2

Answer:

Step-by-step explanation:

Answer:

d=1

Step-by-step explanation:

First let's simplify the first equation, 0.5(7d+4) by applying the distributive property

0.5(7d+4)

(0.5 x 7d) + (0.5 x 4)

3.5d+2

Now let's move all terms containing d to the left side of the equation
So add 1.5d to the left

3.5d+2 = 7-1.5d

3.5d+2+1.5d=7

5d+2=7

Move all terms not containing d to the right side of the equation

5d+2=7

5d=7 -2

5d=5

Finally, divide each term by 5 to simplify

5d/5 = 5/5

d=1

The area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

To find the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9), we can follow these steps:

1. Calculate the vectors PQ and PR by subtracting the coordinates of P from Q and R, respectively.

2. Find the cross product of PQ and PR.

3. Calculate the magnitude of the cross product.

4. Divide the magnitude by 2 to find the area of the triangle.

Step 1: Calculate PQ and PR

PQ = Q - P = (-4 - 1, -3 - 1, -6 - 1) = (-5, -4, -7)

PR = R - P = (6 - 1, 10 - 1, -9 - 1) = (5, 9, -10)

Step 2: Find the cross product of PQ and PR

PQ x PR = ( (-4 * -10) - (-7 * 9), (-7 * 5) - (-10 * -5), (-5 * 9) - (-4 * 5) ) = ( 36 + 63, 35 - 50, -45 + 20 ) = (99, -15, -25)

Step 3: Calculate the magnitude of the cross product

|PQ x PR| = √( (99)² + (-15)² + (-25)² ) = √( 9801 + 225 + 625 ) = √(10651)

Step 4: Divide the magnitude by 2 to find the area of the triangle

Area = 0.5 * |PQ x PR| = 0.5 * √(10651) ≈ 51.61

So, the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

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Complete question is below

Find the area of the triangle determined by the points p(1, 1, 1), q(-4, -3, -6), and r(6, 10, -9)

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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QuTo improve compliance with safety procedures and reduce accidents caused by employee misbehavior, a suitable incentive plan could be a safety performance-based bonus program.

This plan would reward employees for adhering to safety protocols and maintaining a safe working environment. The bonus could be tied to specific safety metrics, such as the number of days without accidents, completion of safety training programs, or participation in safety committees.

By linking the bonus directly to safety performance, employees would have a strong incentive to prioritize safety and follow proper procedures. Additionally, regular communication and training sessions on safety best practices should be implemented to educate employees and create awareness about the importance of workplace safety.

Question 1:

The competitive hourly pay rate that Jack receives for building tables and chairs at Metropolitan Furniture may not be the most effective pay program to increase his productivity. While a competitive pay rate is important for attracting and retaining employees, it may not directly incentivize higher productivity or increased output. Hourly pay is typically fixed and provides little motivation for employees to exceed expectations or put forth extra effort.

In Jack's case, where he has proposed an incentive pay plan to boost productivity, a piece-rate pay system similar to his previous employer may be more effective. By paying Jack based on the number of furniture pieces he completes, he would have a direct financial incentive to work faster and produce more.

This piece-rate pay plan aligns with Jack's belief that such a system would provide him and his coworkers with the motivation to increase their effort and output. However, it is important to carefully consider the potential impact on teamwork and collaboration, as mentioned in the case study, and find a balance that encourages individual productivity while still fostering a cooperative work environment.

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Answer:

B. y=7x

Step-by-step explanation:

A direct proportion is where the ratio is constant. The ratio will stay the same. Therefore, y = 7x, this ratio will stay constant making it a direct proportion.

Hope this helps : )

The allowance for doubtful accounts is the estimated amount that will be uncollectible from the accounts receivable. It is shown on the balance sheet as a contra-asset account that reduces the value of the accounts receivable.

The percent of accounts receivable method is used by Mazie Supply Co. and on December 31, it had outstanding accounts receivable of $110,000. It estimates that 5% of the accounts receivable will be uncollectible.The percentage of accounts receivable method is used to calculate the estimate of the amount of a company's accounts receivable that will not be paid by the company's clients. This is done by using a percentage of the total accounts receivable that are expected to be uncollectible as a proportion of the total amount owed. To apply this method to the Mazie Supply Co, we use the following formula:

Allowance for Doubtful Accounts = Accounts Receivable x Percentage Uncollectible

Now we substitute the given values:

Allowance for Doubtful Accounts = $110,000 x 5% = $5,500

Therefore, the allowance for doubtful accounts is $5,500. The allowance for doubtful accounts is the estimated amount that will be uncollectible from the accounts receivable. It is shown on the balance sheet as a contra-asset account that reduces the value of the accounts receivable.

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It will take 6.5 years for the car value to reach $8400

Value of the car in the beginning = 15800

Rate of depreciation = 9.25%

Required value = 8400

Depreciation is an accounting technique for spreading out the expense of a tangible item over the course of its useful life. How much of an asset's value has been used is shown through depreciation.

Using the formula to compute the value, we get:

A = P(1-r)^t

where A = depreciated value after t years

P = original value

r = rate of depreciation

t = time in years

Substituting the values in the formula we get:

8400 = 15800(1-0.0925)^t

8400 = 15800(0.9075)^t

8400/15800 = 0.9075^t

0.5316 = 0.9075^t

t = 6.5 years

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Answer:

  \(7^{-5}\)

Step-by-step explanation:

It looks like you may want an exponential representation of ...

  \(\dfrac{1}{7\times7\times7\times7\times7}=\dfrac{1}{7^5}=\boxed{7^{-5}}\)

__

The applicable rule of exponents is ...

  1/a^b = a^-b

Answer:

KM=9

JK= 12.69

Angle JKM=45 degrees

ML=18.97

MKL=60 degrees

Angle L=30 degrees

Step-by-step explanation:

Triangle JKM is a 45, 45, 90 degree triangle so that means both side lengths are equal and the hypotenuse is square root of 2 times a side length. This means, KM will be equal to 9 and JK will be equal to 9 times square root of 2. For triangle KML, you know that the triangle is a 30,60,90 degree triangle. This means the hypotenuse is a^2+b^2=c^2 where c is the hypotenuse.  Since you know that a is 9 and c is 21, plug them into the equation to get 81+b^2=441. Subtract 81 from both sides to isolate b^2 to get 360. b^2 = 360. Then find the square root of 360 which is about 18.97. Therefore, b or ML is equal to 18.97. Also, because we know that MKL is a 30, 60, 90 triangle, we know that angle MKL is equal to 60 degrees. Because we know the angles of MKL(60) and KML (90), we do 180-90-60 to find angle L. Simplify 180-90-60 to 30 and that means that angle L is equal to 30 degrees.  Since we know that JKM is a 45, 45, 90 degree triangle, we know that JKM is equal to 45 degrees. Therefore, KM is equal to 9, JK is equal to 9 times square root of 2 or 9 times 1.41 which is 12.69. Angle JKM is 45 degrees, ML is 18.97, angle MKL is 60 degrees, and angle L is 30 degrees.

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