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statuscvo [17]
3 years ago
13

According to a state law for vehicles traveling on state roads, the maximum total weight of a vehicle and its contents depends o

n the number of axles on the vehicle. For each type of vehicle, write and graph an inequality that represents the possible total weights w (in pounds) of the vehicle and its contents.

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Inequalities are used to show the relationship between unequal expressions.

The inequalities that represent the maximum weights are:

  • <em>2 axles - </em>x \le 40000<em>.</em>
  • <em>3 axles - </em>x \le 60000<em>.</em>
  • <em>4 axles - </em>x \le 80000<em>.</em>

<em />

Let the maximum weight be represented with x

In inequality, maximum means less than or equal to i.e. \le

<u>(a) 2 axles</u>

The maximum weight, here is 40000.

So, the inequality is:

x \le 40000

<u>(b) 3 axles</u>

The maximum weight, here is 60000.

So, the inequality is:

x \le 60000

<u>(c) 4 axles</u>

The maximum weight, here is 80000.

So, the inequality is:

x \le 80000

<em>See attachment for the graphs of each inequality</em>

Read more about inequalities at:

brainly.com/question/11612965

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klio [65]

Answer:

<em>Probability that the spinner will stop on an odd number or a multiple of 5 is </em><em>0.6</em>

Step-by-step explanation:

Probability = \frac{Required outcomes}{Total possible outcomes}

We are given the equal regions numbered from 1 through 20 which means that our total possible outcomes are 20

<em>Total possible outcomes: 20</em>


<em>Outcomes that spinner will stop on an odd number, n(Odd): 10</em>

1, 3, 5, 7, 9, 11, 13, 15, 17, 19

Probability of spinner stoping on Odd number:

P(Odd) = \frac{n(Odd)}{Total} = \frac{10}{20} = \frac{1}{2} = 0.5


Outcomes that spinner will stop on a multiple of 5, n(5): 4

5, 10, 15, 20

Probability of spinner stoping on multiple of 5:

P(5) = \frac{n(5)}{Total} = \frac{4}{20} = \frac{1}{5} = 0.2

Odd numbers which are a multiple of 5 are: 5 and 15

So,

P(Odd and 5) = \frac{2}{20}=\frac{1}{10}=0.1

Thus Probability of spinner stopping at odd number or a multiple of 5 becomes:

P(Odd or 5) = P(Odd) + P(5) - P(Odd and 5) = 0.5 + 0.2 - 0.1 = 0.6

7 0
3 years ago
What are the numbers after 10 8 7 9​
kramer

Answer:

Step-by-step explanation:

ven numbers always end with a digit of 0, 2, 4, 6 or 8.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.

Odd numbers always end with a digit of 1, 3, 5, 7, or 9.

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 are odd numbers.

3 0
3 years ago
If f(x)=x^2-7 and h(x)=7x-5, then f(h(2))=
zaharov [31]
We are given 3 equations. Using these equations we can find f(h(2)).

h(x)=7x-5
h(2)=7(2)-5
h(2)=14-5
h(2)=9

f(x)=x^2-7
f(h(2))=(7x-5)^2-7
we know the answer for h(2) by now, so we can substitute for that.
f(9)=9^2-7
f(9)=81-7
f(9)=74

so f(h(2))=74
5 0
3 years ago
each school bus going on the field trip hold 36 students and 4 adults. There are 6 filled buses on the field trip. How many peop
Liono4ka [1.6K]
Since one bus holds 36 students and 4 adults, 40 people are in one bus so...
40 (6)
=240

Total 240 people are going on the field trip.

Hope this helped you.
Have a great day!

3 0
3 years ago
Read 2 more answers
Round 4382 to 1 significant figure
Nataly [62]
I think is 4000 because when it's sad 1 singnificant figure you have to round the first name which 4
8 0
3 years ago
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