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4 years ago

Name a plane two different ways

Mathematics

2 answers:

gladu [14]4 years ago

8 0

Aviation vehicle. Aircraft

lord [1]4 years ago

3 0

A plane can be named using its own name: plane P, for example.
A plane can be named by listing 3 points in the plane: plane ABC, for example.

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After the booster club sold 40 hotdogs at a football game, it had 90$ in profit. After the next game, it had sold a total of 80

sergiy2304 [10]

Let's first establish what we already know for this problem.

x = total number of hotdogs sold
y = total profit from total sales of hotdogs

Let's also establish the other equations which we will require in order to solve this problem.

Equation No. 1 -
Profit for 40 hotdogs = $90 profit

Equation No. 2 -
Profit for 80 hotdogs = $210 profit

STEP-BY-STEP SOLUTION

From this, we can use the formula y = mx + b & substitute the values for x & y from one of the two previous equations into the formula in order to obtain the values of m & b for the final equation. Here is an example of the working out as displayed below:

Firstly, using the first or second equation, we make either m or b the subject. Here I have used the first equation and made m the subject:

Equation No. 1 -
y = mx + b
90 = m ( 40 ) + b
40m = 90 - b
m = ( 90 - b ) / 40

Now, make b the subject in the second equation as displayed below:

Equation No. 2 -
y = mx + b
210 = m ( 80 ) + b
210 = 80m + b
b = 210 - 80m

Then, substitute m from the first equation into the second equation.

Equation No. 2 -
b = 210 - 80m
b = 210 - 80 [ ( 90 - b ) / 40 ]
b = 210 - [ 80 ( 90 - b ) / 40 ]
b = 210 - 2 ( 90 - b )
b = 210 - 180 - 2b
b - 2b = 30
- b = 30
b = - 30

Now, substitute b from the second equation into the first equation.

Equation No. 1 -
m = ( 90 - b ) / 40
m = ( 90 - ( - 30 ) / 40
m = ( 90 + 30 ) / 40
m = 120 / 40
m = 3

Through this, we have established that:

m = 3
b = - 30

Therefore, the final equation to model the final profit, y, based on the number of hotdogs sold, x, is as follows:

y = mx + b
y = ( 3 )x + ( - 30 )

ANSWER:
y = 3x - 30

3 0

3 years ago

16. A company collected funds for charity from employees. The amount donated by some employees on the first day is as

ivolga24 [154]

Answer: Median is the best measure of central tendency best represents the data.

Value of median= 15

Step-by-step explanation:

The given data : $10, $20, $15, $100, $10, $15, $10.

We observe that the above data has an outlier in it .

$100 is an extremely large value as compare to the other values in the data.

It means the data contains outlier.

Commonly , mean is the best measure of the central tendency.

We know that , when there is an outlier in the data , we prefer Median over Mean to measure the central tenancy of the data.

So for the given data set ,

Median is the best measure of central tendency best represents the data.

To find median , first arrange data in an order , we get

10 , 10 , 10 , 15 , 15 , 20 , 100

Number of data values = 7 (odd)

So Median= Middle-most number= 15

Hence, the median of data = 15

5 0

3 years ago

Ariel is putting together lunch bags for 12 students going on a field trip. She put 5 apple slices and 6 orange slices into each

Orlov [11]

Calculate how many pieces of fruit go into each bag. Add this to the number of students going on the trip.

6 0

3 years ago

Read 2 more answers

Find a formula for the distance from the point P(x,y,z) to each of the following planes. a. Find the distance from P(x,y,z) to

BARSIC [14]

Answer:

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

Step-by-step explanation:

The distance from P(x,y,z) to the xy-plane is by definition the magnitude of the vector that goes from the perpendicular projection of P over the xy-plane to the point P, which is exactly the magnitude of the vector (0,0,z) = |z| the absolute value of z

Similarly, the distance from P to the yz-plane is |x| and the distance from P to the xz-plane is |y|

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

7 0

3 years ago

What is the slope of slope =12;(7,84)

snow_tiger [21]

Answer:

Step-by-step explanation:

8 0

3 years ago