Ask question

Ask question

All categories

3 years ago

7

Katie is in charge of buying juice for the teacher;s breakfast party if one teacher will drink between 18 and 22 ounces of juice

and there are 32 teachers which is the best estimate for the amount of juice katie should buy?

1 answer:

brilliants [131]3 years ago

5 0

So on average 20 ounces is drank per teacher so 20 ounces x 32 teachers = 640

You might be interested in

Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collect

mars1129 [50]

Answer:

If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

Step-by-step explanation:

Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:

Month Machine Hours Electricity Costs

January 2,000 $18,950

February 2,400 $22,100

March 1,400 $14,050

April 2,600 $24,100

May 3,300 $28,800

June 2,800 $23,100

July 3,600 $25,300

August 3,000 $23,300

September 1,500 $16,600

October 3,200 $27,100

November 4,200 $32,100

December 3,700 $28,300

The explanation of the answer is now provided as follows:

Step 1: Calculation of variable cost per hour

From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:

Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857

Rounding to 2 decimal places as required, we have:

Variable cost per hour = $6.45

Therefore, the variable-cost components using the high-low method is $6.45.

Step 2: Calculation of total fixed cost

The formula for calculating the total cost is given as follows:

Total cost = Total Fixed Cost + Total Variable Cost ................. (1)

Where;

Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs

Using highest levels of activity and substitute into equation (1), we have:

$32,100 = Total Fixed Cost + ($6.45 * 4,200)

Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010

Therefore, the fixed-cost components using the high-low method is $5,010.

Step 3: Derivation of the cost equation for electricity costs

The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:

Total Fixed Cost = $5,010

Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours

Substituting the values into equation (1), we have:

Total cost = $5,010 + ($6.45 * Machine hours)

Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

8 0

3 years ago

A circle measures 12 feet in diameter What's its area to the nearest foot?

melomori [17]

Answer:

113.1ft²

Step-by-step explanation:

5 0

3 years ago

The diagram shows a semi circle inside a rectangle of length 140m. the semi circle touches the rectangle at P, Q and R. Calculat

exis [7]

Answer: 250m

Step-by-step explanation:

Length of rectangle = 140m

Length of rectangle = diameter of semicircle = 140m

Therefore, Radius(r) = 140m / 2 = 70m

Perimeter of the shaded region:

Length of tangent at P + length of tangent at Q + shaded portion of arc(AB)

Length of tangent = diameter / 2

Length of tangent = 70m

Perimeter of a circle = 2πr = 2 × 22/7 × 70 = 440m

shaded portion = 440 / 4 = 110m

Therefore, perimeter of shaded portion equals

70m + 70m + 110m = 250m

4 0

3 years ago

Find the value of x.<br> to<br> 95°<br> 135

Dvinal [7]

The given angles are 95° and 135, and the value of x is 40.

<h3>What is the angle sum property?</h3>

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The given angles are 95° and 135.

Let's consider the adjacent angle of 135 to be z.

So, as we can see that both angles make a linear pair.

z + 135 = 180

z = 180 - 135

z = 45

Let's consider the interior angle to be y.

then,

y = 95 ( vertically opposite angle)

Now, The angle sum property

x + y + z = 180

x = 180 - 95 + 45

x = 40

Thus, the value of x is 40.

Learn more about the triangles;

brainly.com/question/2773823

#SPJ1

6 0

2 years ago

Simplify the following expression<br>(x+y)²

MrMuchimi

Answer:

${x}^{2} + 2xy + {y}^{2}$

Step-by-step explanation:

1) Use square sum: (a + b)² = a² + 2ab + b².

${x}^{2} + 2xy + y^{2}$

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u>²</u><u> </u><u>+</u><u> </u><u>2xy</u><u> </u><u>+</u><u> </u><u>y</u><u>²</u>.

8 0

2 years ago