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mote1985 [20]
3 years ago
14

Solve the inequality. Graph the solution set. 2r−9≤−6

Mathematics
2 answers:
Annette [7]3 years ago
7 0

Hey there! :)

2r - 9 ≤ -6

To solve for r, we must move all variables to one side.

So, let's start out by adding 9 to both sides.

2r - 9 + 9 ≤ -6 + 9

Simplify.

2r ≤ 3

Divide both sides by 2.

2r ÷ r ≤ 3 ÷ 2

Simplify.

r ≤ 3/2

Simplify so that we don't have improper fractions.

r ≤ 1 1/2

Therefore, r is lesser than or equal to 1 1/2.

Using the process of elimination, we can see that the only answer choice that has r ≤ 1 1/2 in it is the THIRD answer choice.

~Hope I helped!~

vazorg [7]3 years ago
4 0

2r≤3

r≤3/2

r≤1 1/2

the answer is C


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Jim ran 15 miles in 5 days. At this rate, how many days will it take Jim to run 165 miles?
AleksAgata [21]

Answer:

55 days

Step-by-step explanation:

Given

Jim ran 15 miles in 5 days

no. of miles ran in 5 days = 15 miles

dividing LHS and RHS by 5

no. of miles ran in 5/5(=1) days = 15/5 miles = 3 miles

no. of miles ran in 1 day =  3 miles

let the no. of days taken to run 165 miles be x   ----A

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3 0
3 years ago
Please HELP!! ILL GIVE BRAINLEST! QUCIK PLEASE HELP!!
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Answer:

d. linear; $25/hour

Step-by-step explanation:

From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.

For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.

Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.

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Answer choice d.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
3 years ago
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