Two students wrote a plan to solve the problem below. Which plan will lead to a correct
solution? Why?
For Mariah's birthday party, she is making a punch that calls for 8+ cups of Sprite and 1
cups of lime-aid. If this is the complete recipe, how many complete ¼ cup servings can be
made?
Jake's plan
1. Find the # % servings in
s in 8-1-
2. Find the # of servings in 1
3. Add to find total servings
Olly's plan
1. Find total liquid in the punch (add)
2. How many ¼ cups in the total (divide)

9514 1404 393

Answer:

  $6190.48

Step-by-step explanation:

The price is now 1 -16% = 84% of the original price (p).

 $5200 = 0.84p

  p = $5200/0.84 = $6190.48

The price before the discount was $6190.48.

Answer:

100

Step-by-step explanation:

#20 naira - 20 * 100

= 2000kobo

2000/20

100

QED✅✅

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Answer:

The two lines are neither parallel nor perpendicular to one another.

Step-by-step explanation:

The slope \(m\) gives the orientation of a line.

Make sure that the equation of both lines are in the slope-intercept form \(y = m\, x + b\) (where \(m\!\) is the slope and \(b\) is the \(y\)-intercept) before comparing their slopes.

The equation of the first line \(y = 3\, x - 5\) is already in the slope-intercept form. Compare this equation with the standard \(y = m\, x + b\). The slope of this line would be \(m = 3\).

Rewrite the equation of the second line \(9\, x + 3\, y = 1\) to obtain the slope-intercept equation of that line:

\(3\, y = -9\, x + 1\).

\(\displaystyle y = -3\, x + \frac{1}{3}\).

Thus, the slope of this line would be \(m = (-3)\).

Two lines are parallel to one another if and only if their slopes are equal. In this question, \(3 \ne (-3)\). Thus, the two lines are not parallel to one another.

On the other hand, two lines are perpendicular to one another if and only if the product of their slopes is \((-1)\). In this question, \(3\times (-3) = (-9)\), which is not \((-1)\!\). Thus, these two lines are not perpendicular to one another, either.

Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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Answer:

HI THERE 1. is  9   2. is 7.08  and 3. is 13.8 pls mark brainlist

Step-by-step explanation:

Answer:

#1 is 9

#2 is 12 and 5/12

#3 is 69/5 or 13.8

Answer: x-intercept = (3,0); y-intercept = (0,7)

Step-by-step explanation:

-3y = 7x - 21

y = -7/3 x + 7 (divide both sides by -3)

y-intercept = (0,7) (y = mx + b; b is always y-intercept)

0= -7/3 x + 7 (plug in 0 for y to get x-intercept)

-7/3x = -7 (subtract 7 from both sides)

x = 3 (divide both sides by -7/3)

x-intercept = (3,0)

Step-by-step explanation:

First, is 0 greater than -2? Correct

Next, is 6 greater than -12? Correct

Is -7 less than -5? Correct

Finally, is -5 less than -8? NERP!!

So C. is incorrect. Or in this case, it is...

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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None of the measurement of the sides of the triangle forms a right triangle.

A right triangle is a triangle that has one of its angles as 90 degrees. The measurement of the side of a right triangle can be found using Pythagoras's theorem.

Therefore,

c²= a² + b²

where

Therefore, the measurement of the triangles that forms a right triangle is none of the options

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The correct simplification should be:

root(3)(x^2y^2)*sqrt(4y^2) = 2yx^(2/3) or 2yroot(3)(x^2)

The incorrect simplification among the options provided is:

root(3)(x^2y^2)*sqrt(4y^2) = 2|y|root(3)(x^2y^2)

This simplification is incorrect because the product of root(3)(x^2y^2) and sqrt(4y^2) should not result in 2|y|. Let's break down the correct simplification:

root(3)(x^2y^2)*sqrt(4y^2) can be rewritten as (x^(2/3)y^(2/3))(2y).

Now, multiplying x^(2/3) and 2y, we get 2yx^(2/3). However, in the given simplification, it states 2|y| instead of 2y. The absolute value symbol | | should not be present in this context since we are not dealing with negative numbers or absolute values.

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9514 1404 393

Answer:

  (3, 1)

Step-by-step explanation:

The lines on the graph cross at the point (x, y) = (3, 1). That is the solution to the system of equations.

Answer:

Not rounded:

1.62 increased by 8% of the value = 1.7496

The actual change:

1.7496 - 1.62 = 0.1296

Rounded off to max. 2 decimal places:

1.62 increased by 8% of the value ≈ 1.75

The actual change:

1.75 - 1.62 ≈ 0.13

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

8% = 8 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100

8% = 8/100 = 8 ÷ 100 = 0.08

100% = 100/100 = 100 ÷ 100 = 1

The value of the percentage increase = 8% × 1.62

The new value = 1.62 + The value of the percentage increase

The new value =

1.62 + The value of the percentage increase =

1.62 + (8% × 1.62) =

1.62 + 8% × 1.62 =

(1 + 8%) × 1.62 =

(100% + 8%) × 1.62 =

108% × 1.62 =

108 ÷ 100 × 1.62 =

108 × 1.62 ÷ 100 =

174.96 ÷ 100 =

1.7496 ≈

1.75

The actual change =

The new value - 1.62 =

1.7496 - 1.62 =

0.1296 ≈

0.13

The value of the percentage increase =

8% × 1.62 =

8 ÷ 100 × 1.62 =

8 × 1.62 ÷ 100 =

12.96 ÷ 100 =

0.1296 ≈

0.13

If the room is 12'x20' with 8' ceilings and the tile costs $4.75 per square foot,  the total cost is $1140.

To calculate the cost of replacing the tile in the kitchen, we need to first calculate the total area of the floor.

Area of the floor = Length x Width = 12 ft x 20 ft = 240 sq ft

Since we know the cost per square foot of tile, we can now multiply the total area of the floor by the cost per square foot to find the total cost:

Total cost = Area of the floor x Cost per square foot

Total cost = 240 sq ft x $4.75/sq ft

Total cost = $1140

Therefore, it will cost $1140 to replace the tile in the kitchen, assuming there are no additional costs such as labor or materials for removing the old tile.

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Answer:

C

Step-by-step explanation:

Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)

Answer:

C

Step-by-step explanation:

Answer: shifted by  3*pi/2 units to the right.

Step-by-step explanation:

Here we have:

y = sin(x - 3*pi/2)

now, you need to remember this:

if we have y = f(x)

then y' = f(x - A) is the graph of y, shifted A units to the right (where A is a positive number).

If A is negative, the shift is to the left.

Then in this case, we have:

sin(x) -----> sin( x - 3*pi/2)

A = 3*pi/2

Then we have the graph shifted by  3*pi/2 units to the right.

Answer:

C. 3pi/2 units to the right

Step-by-step explanation:

(I got it right on edge)

The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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We just have to substitute the values and get the answer.

Answer:

The right answer to the question is A

Answer:

70

Step-by-step explanation:

700 / 10 = 70

Answer:

70

Step-by-step explanation:

700 ÷ 10 = 70

The relationship between the cost and the time of travel is a proportional

relation, such that as the time increases, the cost also increase.

The correct responses are as follows;

Reasons:

1. The amount charged per year for time travel = $5

The cost for 200 years travel = 200 × $5 = $1,000

The cost for 400 years travel = 400 × $5 = $2,000

Cost of 500 years travel = 500 × $5 = $2,500

The completed table is presented as follows;

\(\begin{tabular}{c|c|c|c|c}Years (t)&200&400&500\\Cost (c) &1,000&2,000&2,500\end{array}\right]\)

Please find attached the graph of the above data created with MS Excel

2. The equation for the graph is the equation that gives the cost, which is presented as follows;

Cost (c) = Years (t) × $5

3. The amount charged to go backward in time = $15 per year

Therefore, we have;

Cost for -200 years = 200 × $15 = $3,000

Cost to go back 400 years = 400 × $15 = $6,000

Cost to go back 500 years = 500 × $15 = $7,500

The completed table is presented as follows;

\(\begin{tabular}{c|c|c|c|}Years (t)&-200&-400&-500\\Cost (c) &3,000&6,000& 7,500\end{array}\right]\)

As the value of the time in years increases, the cost increases, therefore, the graph has a negative slope, which give;

The magnitude of the slope is the cost per year = $15

The equation for the graph is therefore; c = -15·t

5. The constant of proportionality are;

For c = 5·t; The constant of proportionality is 5

For c = -15·t; The constant of proportionality is -15

One constant is positive while the other is negative because, one goes forward in time while the other goes backward in time.

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{4 + 12g}}}}}\)

Step-by-step explanation:

\( \sf{2(2 + 6g)}\)

Distribute 2 through the parentheses

\( \longrightarrow{ \sf{2 \times 2 + 2 \times 6g}}\)

\( \longrightarrow{ \sf{4 + 12g}}\)

Hope I helped!

Best regards! :D

It takes him 2 minutes to complete a math problem. The number of minutes he will use for 550 math problems can be computed below

It will take him 18.33 hours to do 550 math problems(He could use a little less or more than 18.33 hours because some problems might take less or more than the calculated 2 minutes per math problem).

Step-by-step explanation:

47 kg tomatoes = $253.80

1 kg tomato = $253.80/47

=$5.4

$248.40= ? tomatoes

we know,

$248.40 = $248.40/$5.4

= 46

46 kg tomatoes can be get with $248.40#

The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

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The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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People at the concession stand as input Cost of their order's output.

(1) The relation in question is a function.

(II) This function is not constant. (Each category of concession has a different order cost.)

Not a 1-1 function (iii). (Several persons arrived seeking the same sort of concession. So they all pay the same price for their order.)

A function describes the relationship between patrons' inputs at the concession stand and the cost of their order as an output. A function is a relationship between a set of possible inputs and outputs, where each input is associated to exactly one output.

The quantity of patrons at the concession stand serves as the input in this scenario, while the cost of their order serves as the output.

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