Kens plan is y= -200x + 2400
How do I solve it?

Laura’s hike can be described by the equation ( y = 6x ), where ( x ) represents time (in hours) and ( y ) represents distance (in miles).

Graph Description:

The graph depicts a linear relationship between time (in hours) and distance (in miles).

The x-axis represents time, ranging from 0 to 5 hours.

The y-axis represents distance, ranging from 0 to approximately 24 miles.

The line starts from the origin (0,0) and extends to the point (5,24), indicating that Laura covered a distance of approximately 24 miles in five hours.

Each grid square along the x-axis represents one hour, and each grid square along the y-axis represents approximately four miles.

Equation for the Graph:

To find the equation of the line, we’ll calculate the slope (m) and the y-intercept (b).

Let’s use two points on the line: (1,0) and (5,24).

The slope (m) can be calculated as follows: [tex][ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{24 - 0}}{{5 - 1}} = \frac{{24}}{{4}} = 6 ][/tex]

The y-intercept (b) is where the line crosses the y-axis (at point (0,0)). Therefore, ( b = 0 ).

The equation of Laura’s hike on the graph is: [ y = 6x ]

Explanation:

The equation ( y = 6x ) represents Laura’s hiking progress. For every hour she hikes, she covers a distance of 6 miles.

The slope of 6 indicates that her speed is consistent (6 miles per hour).

The y-intercept of 0 means that she started at the origin (0 miles) when the hike began.

In summary, Laura’s hike can be described by the equation ( y = 6x ), where ( x ) represents time (in hours) and ( y ) represents distance (in miles).

The total cost of 4 sets of the fall candle gift set is represented by the expression 20v + 24p.

To find the total cost of 4 sets of the fall candle gift set, we first need to determine the cost of one set. Each set contains 4 vanilla candles and 6 pumpkin spice candles. If we let v represent the cost of each vanilla candle and p represent the cost of each pumpkin spice candle, then the cost of one set is 4v + 6p.

Since we want to find the cost of 4 sets, we multiply the cost of one set by 4:

[tex]\[ 4 \times (4v + 6p) \][/tex]

Now, distribute the 4 across the terms inside the parentheses:

[tex]\[ 4 \times 4v + 4 \times 6p \][/tex]

Simplify the expression by multiplying the coefficients:

[tex]\[ 16v + 24p \][/tex]

This expression represents the total cost for 4 sets of the fall candle gift set, with v being the cost per vanilla candle and p being the cost per pumpkin spice candle.

Using a scale of 1:60, the actual length of a wall in the house, depicted as 5 inches on the blueprint, is 25 feet.

The correct option is c) 25 feet

To find the actual length of the wall in the house, we need to use the scale factor provided by the blueprint, which is 1:60. This means that 1 unit on the blueprint represents 60 units in reality.

Since the wall on the blueprint is 5 inches long, we can calculate the actual length of the wall by multiplying the length on the blueprint by the scale factor:

Actual length = Length on blueprint × Scale factor

              = 5 inches × 60

              = 300 inches

To convert inches to feet, we divide by 12 (since 12 inches = 1 foot):

Actual length (in feet) = [tex]\frac{300 inches}{12}[/tex]

                       = 25 feet

Therefore the correct answer is option C) 25 feet.

The question probable may be:

A blueprint of a house shows a wall that is 5 inches long. If the blueprint is drawn to a scale of 1:60, what is the actual length of the wall in the house?

A) 5/60 feet

B) 12 feet

C)  25 feet

D)  36 feet          

Answer:

$18.75

Step-by-step explanation:

This is kind of a trick question. Instead of giving you 1 example they give you two.

Basically, this question is trying to test your reading skills.

31.25 is being charged for 5 hours. So, how much is being charged in 1 hour?

well, dividing 31.25 by 5 brings us to the result of 6.25. Meaning 1 hour of babysitting costs $6.25

Now that we know the cost of 1 hour, we need to multiply this by 3.

6.25 x 3 = $18.75

we can also 'test' our answer to make sure it is correct by multiplying 6.25 by 8. (doing so is confirming 8 hours of work is $50 at $6.25 per hour)

hope this helpd!

To find the amount of yards of ribbon Kevin needs, he should first convert the ribbon length from feet to yards and then multiply by the number of ribbons. One ribbon is 0.75 yards long, and he requires 1,000 ribbons, totaling 750 yards needed.

How Kevin Can Determine the Total Yards of Ribbon Needed

Kevin needs to calculate the total length of ribbon required for a school event, with the requirement being 1,000 ribbons each 2.25 feet long. To find how many yards of ribbon he needs, Kevin can follow a two-step pattern. First, he should convert the length of each ribbon from feet to yards, knowing that 1 yard is equal to 3 feet. This means each ribbon is
2.25 feet / 3 feet/yard = 0.75 yards long.

Next, Kevin should multiply the length of one ribbon by the total number needed to find the total yardage required. So, 0.75 yards per ribbon × 1,000 ribbons = 750 yards of ribbon needed for the event.

By using this pattern, Kevin can easily calculate the amount of ribbon he needs to purchase, ensuring he has enough for the school event without buying excess material.

Answer:

22

Step-by-step explanation:

The given algebraic expression simplifies to 9a - 4b - 13 by first grouping together like terms (terms with the same variable and exponent), then adding them up.

To simplify the given algebraic expression 2a - 1 + 8b - 12b + 7a - 12, we first group together like terms. The 'like terms' are terms with the same variables and exponents. In this case, 2a and 7a are like terms, and 8b and -12b are like terms.

The expression becomes: (2a + 7a) + (-1 - 12) + (8b - 12b)

Adding these like terms together, we get 9a - 13 - 4b. So, the original expression simplifies to 9a - 4b - 13.

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To determine the monthly charge for a cell phone plan with a flat fee and a fee per 50 MB of data used, we use a linear equation. For example, with a flat fee of $20 and a per 50MB data charge of $2, the equation for the monthly cost (C) would be C = 20 + 2D, where D reflects the number of 50MB increments used.

For the scenario you're describing, you would typically use a linear equation where one part is constant (the flat fee), and the other changes based on the amount of data (measured in 50 MB sets) the customer uses. Let's consider a scenario where you're charging a flat fee of $20 and a fee of $2 for every 50 MB of data used during the month. Then, the equation for the cost, C, each month would be:

C = 20 + 2D

In this equation, D reflects the number of 50MB data increments used by the customer. So, if a customer uses 150 MB of data in a month, D would equal 3, as 150 MB is three sets of 50 MB. The total cost for this customer would be:

C = 20 + 2(3)
C = $26

The set $20 is the flat fee and the varying part, 2D, reflects the data charge. Hence, the total bill for a customer any given month would depend on their data usage.

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Answer:

It will take 2 hours for Jordan and Jake to earn the same amount of money

Step-by-step explanation:

Jordan earns $9 per hour

Let he worked for x hours

So, he earned in x hours = 9x

Jordan also gets a $10 weekly allowance.

So, his total earning in x hours = 10+9x

Jake earns $6.50 per hour at his job.

Let he worked for x hours

So, he earned in x hours = 6.50x

Jake also gets a $15 weekly allowance.

So, his total earning in x hours = 15+6.50x

Now to know How many hours will it take for Jordan and Jake to earn the same amount of money

[tex]10+9x=15+6.50x[/tex]

[tex]9x-6.5x=15-10[/tex]

[tex]2.5x=5[/tex]

[tex]x=\frac{5}{2.5}[/tex]

[tex]x=2/tex]

Hence it will take 2 hours for Jordan and Jake to earn the same amount of money