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oksian1 [2.3K]
1 year ago
15

The weight, w, in tons of a school bus is related linearly to its seating capacity, p. a 60-passenger bus weighs 10 tons, and an

84-passenger school bus weighs 13 tons. which equation can be used to find the weight of a 50-passenger bus?

Mathematics
2 answers:
lidiya [134]1 year ago
7 0
The linear equation of relating two objects can be written in the form,
                                    y = ax + b 
Our x is the number of passenger and y is the weight (in tons). Using the first two conditions,
                                    10 = 60(a) + b
                                     13 = 84(a) + b
The values of a and b from the equations are 0.125 and 2.5. 
For 50-passenger bus,
                                    y = (50)(0.125) + 2.5
The value of y is 8.75. 
IgorLugansk [536]1 year ago
3 0

The answer is D!

w-10=1/8(50-60)

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24 cugini

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If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
By selling a book for $16.50, a bookseller loses 12%. What is the cost price of the book?
Alika [10]

Answer: 18. 75

Step-by-step explanation:

plz follow my table format here i will be delighted to share

cp  percent  fraction   sp

          -12         88/100  16. 50

100*16.50 /88= 18.75

7 0
2 years ago
Suppose you are told that a distribution is said to be approximately normal because outliers have skewed the data. List the poss
andrew-mc [135]

Answer:

Step-by-step explanation:

Outline are values which are entirely different from those remaining values in a data set. These extreme values can skew an approximately normal distribution by skewing the distribution in the direction of the outliers and this makes it difficult for the data set to be analyzed.

Its effect is such that the mean becomes extremely sensitive to extreme outliers making it possible that the mean is this not a representative of the population and this theoretically affects the standard deviation.

8 0
1 year ago
A rectangular parcel of land is 70 ft longer than it is wide. Each diagonal between opposite corners is 130 ft. What are the dim
Bingel [31]
We have the following dimensions:
w=wide
w+70=length

We have a right triangle:
leg₁=w
leg₂=w+70
hypotenuse=130

Pythagoras theorem:
leg₁²+leg₂²=hypotenuse²
Then:

w²+(w+70)²=130²

We have to solve that equation:
w²+(w+70)²=130²
w²+w²+140w+4900=16900
2w²+140w+4900-16900=0
2w²+140w-12000=0
(2w²+140w-12000)/2=0/2
w²+70w-6000=0

w=(-70⁺₋√(4900+24000)) / 2
=(-70⁺₋170) / 2
We have two possible solutions:
Solution 1

w=(-70-170)/2=-120   (this solution is not possible because the result is negative and it have no sense in this problem).

Solution 2

w=(-70+170)/2=50  (this is the right solution)

w=50
w+70=120

ANSWER:  the length would be 120 u  (u=units of length ) and the wide would be 50 u.
5 0
2 years ago
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