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yKpoI14uk [10]
1 year ago
8

Over the course of a year,a tractor-trailer commutes 160,000 miles across America.Assuming a trucker changes his tires every 40,

000 miles,and that he starts with a brand new set of tires,how many sets of tires will he use in a year?
Mathematics
2 answers:
d1i1m1o1n [39]1 year ago
8 0

Answer:

He will use 4 sets of tires in a year.

Step-by-step explanation:

This question can be solved by a rule of three.

We have that:

Each set of tires lasts 40,000 miles. How many sets are going to be needed for 160,000 miles. So:

1 set - 40,000 miles

x sets - 160,000 miles

40000x = 160000

x = \frac{160000}{40000}

x = 4

He will use 4 sets of tires in a year.

Nikolay [14]1 year ago
3 0
160,000 - 40,000= 120,000/4 = 3 sets of new tires in the first year and 4 every consecutive year.
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We need to find the distance between (7, 5) and (10, 11) and double it, since they run it twice. We can do this as follows: 2√(11-5)² + (10-7)² = 2√36 + 9 = 2√45 = 6√5.
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Hope this helps!
6 0
2 years ago
Two cells are viewed and measured under a microscope. The approximate diameter
nikklg [1K]

Answer:

option D. 4.7 x 10-4 m

Step-by-step explanation:

<u><em>The correct question is</em></u>

• cell P: 5.0 x 10-4 meters

• cell Q: 3.0 x 10-5 meters

we have            

The diameter of cell P is  5*10^{-4}\ m

The diameter of cell Q is  3*10^{-5}\ m

Rewrite the diameter of cell P as    

5*10^{-4}\ m=5*10^{-4}(\frac{10}{10})=50*10^{-5}\ m

Find the difference

50*10^{-5}\ m-3*10^{-5}\ m=47*10^{-5}\ m

Rewrite the difference as

47*10^{-5}\ m=47*10^{-5}}(\frac{10}{10})=4.7*10^{-4}\ m

7 0
2 years ago
A caterer provides a conference banquet for a price of $40 per person for 20 or fewer people but will decrease the price by $1 p
mel-nik [20]

Answer:

The maximum revenue is $900, obtained with 30 people

Step-by-step explanation:

Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.

f(x) = x*(40-(x-20)) = -x²+60x

Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).

f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.

The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30

for x = 30, f(x) = 30*(40-(30-20))=30*30=900

So the maximum revenue is $900.

7 0
2 years ago
Order from least to greatest 2.8%, 7/40, 1/50, 0.044
lord [1]

Answer:

1/50 < 2.8% < 0.044 < 7/40

Step-by-step explanation:

2.8%, 7/40, 1/50, 0.044

  • 2.8% = 0.028 = 28/1000
  • 7/40 = 0.175 = 175/1000
  • 1/50 = 0.020 = 20/1000
  • 0.044 =  44/1000

<u>Ordering in ascending order</u>

  • 20/1000 < 28/1000 < 44/1000 < 175/1000

<u>Same order in original numbers</u>

  • 1/50 < 2.8% < 0.044 < 7/40
3 0
2 years ago
A researcher wants to determine if preschool attendance is associated with high school graduation for low-income students. She r
Alik [6]

Answer:

(C) Whether or not a subject attends preschool

Step-by-step explanation:

In research studies, variables are used to explain differences in another variable. The explanatory variable (also known as independent or predictor variable) is used to explain differences in the response variable (dependent or outcome variable).

<em>It is important to know that the explanatory variable is the variable that is manipulated by the researcher. </em>

The facts that are not being manipulated are the income of the children studied, and what happens after attending or not preschool program. The variable the researcher is manipulating is the assignation to groups that will or will not attend preschool. Therefore the correct answer is:

(C) Whether or not a subject attends preschool

I hope you find this information useful and interesting! Good luck!

3 0
1 year ago
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