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Vika [28.1K]
3 years ago
6

Solve the inequality. 3/4x−2/3≤5/6 Choose the solution that is graphed on this number line.

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Answer:

<em>x ≤ 2</em>

<em>(when graphed, closed circle on two, shaded to the left)</em>

Step-by-step explanation:

3/4 x - 2/3 ≤ 5/6

Add 2/3 to both sides:

3/4x ≤ 5/6 + 2/3

3/4x ≤ 3/2

Divide by 3/4 on both sides:

x ≤ 3/2 ÷ 3/4

x ≤ 2

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Last month in the village of 125 people we’re issued a parking ticket. This month only 83 people were issued one. What was the p
natita [175]

Answer:

the percent reduction is <u>33.6%</u> and the number of people who were issued a parking ticket are <u>42</u>.

Step-by-step explanation:

Given:

Last month in the village of 125 people were issued a parking ticket.

This month only 83 people were issued one.

Now, to find the percent reduction from this month to last month and the number of people who were issued a Parking ticket.

So, the reduction of the number of people who were issued a Parking ticket from this month to last month are:

125 people - 83 people = 42 people.

Thus, 42 people reduction from this month to last month.

Now, to get the percent reduction:

\frac{42}{125}\times 100.

=\frac{4200}{125}

=\ 33.6\%

Therefore, the percent reduction is 33.6% and the number of people who were issued a parking ticket are 42.

7 0
3 years ago
Find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.
Sergeu [11.5K]

Answer:

\frac{512}{6561}

Step-by-step explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according  to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.

5 0
2 years ago
An investigator wants to assess whether the mean m = the weight of passengers flying on small planes exceeds the FAA guideline o
stira [4]

Answer:

H_{0}: \mu= 185 and H_{a}: \mu > 185

Step-by-step explanation:

The null hypothesis H_{0} states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form H_{0}: parameter = value

In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form H_{0}: \mu= 185.

The alternative hypothesis H_{a} states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms

H_{a}: parameter > value\\H_{a}: parameter < value\\H_{a}: parameter \neq value

The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use H_{a}: \mu > 185 as his alternative hypothesis.

7 0
3 years ago
At the time she had $237 ,the cost of a lesson rose to &amp;19.how many lesson can she pay for with remaining &amp;237
ad-work [718]
12.5, just divide 237 by 19
8 0
3 years ago
Help i dont understand pls help :(
vazorg [7]

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

6 0
3 years ago
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