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3 years ago

Solve the inequality-9<-1/5x

Mathematics

1 answer:

jek_recluse [69]3 years ago

8 0

Simplify 1/5x to x/5

-9 < -x/5

Multiply both sides by 5

-9 × 5 < -x

Simplify -9 × 5 to -45

-45 < -x

Multiply both sides by -1

45 > x

Switch sides

x < 45

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3.5 m

marysya [2.9K]

Answer:

This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.

Now, the circunference of a circle can be written as:

C = 2*pi*r

where:

pi = 3.14

r = radius = half of the diameter = 3.5m/2 = 1.75m

Then replacing those values in the equation for the circumference we have:

C = 2*3.14*1.75m = 10.99 m.

And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)

We can safely round up the circumference to the next whole number, C = 11m

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3 years ago

Find the fourth term of a geometric sequence if a=6 and r=2. Use the formula an=ar^n-1

Vikentia [17]

Answer:

Step-by-step explanation:

here, we are using an = ar^n-1

so, we have to find a4= ar^4-1 = ar^3

now, putting the given values in the equation,

a4= (6)(2)^3 = 6(8) = 48

therefore, the 4th term is 48.

I have done this question previously on Gauthmath app, you can check that app out, really cool app.

All the best with your exam. 

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2 years ago

Ten students ordered eight pizzas

chubhunter [2.5K]

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3 years ago

Please answer There is a bag filled with 3 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted

Misha Larkins [42]

Answer:

$\frac{15}{28}$ is the required probability.

Step-by-step explanation:

Total number of Marbles = Blue + Red $= 3 + 5 = 8$

Probability of getting blue $= \frac{3}{8}$

Probability of not getting a blue $=\frac{5}{8}$

To get exactly one blue in two draws, we either get a blue, not blue, or a not blue, blue.

First Draw Blue, Second Draw Not Blue:

1st Draw: $P(Blue) = \frac{3}{8}$

2nd Draw: $P(Not\:Blue)=\frac{5}{7}$ (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

$P(Event)=\frac{3}{8}\cdot \frac{5}{7}=\frac{15}{56}$

First Draw Not Blue, Second Draw Not Blue:

1st Draw: $P(Not\:Blue)=\frac{5}{8}$

2nd Draw: $P(Not\:Blue)=\frac{3}{7}$ (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

$P(Event)=\frac{5}{8}\cdot \frac{3}{7}=\frac{15}{56}$

To get the probability of exactly one blue, we add both of the events:

$\frac{15}{56}+\frac{15}{56}=\frac{15}{28}$

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3 years ago

Elyse has $18 on a gift card that she can use to rent movies online. The graph at the right shows the amount of money remaining

blsea [12.9K]

Answer:

see the explanation

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the number of movies

y ----> the amount of money remaining on her gift card

we know that

The slope of the linear equation is equal to the unit rate

take two points from the graph

(0,18) and (2,12)

Find the slope

$m=(12-18)/(2-0)$

$m=(-6)/(2)=-\$3\ per\ movie$ ---> is negative because is a decreasing function

That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented

The linear equation is equal to

$y=-3x+18$

For y=0

$0=-3x+18$

$x=6$

6 is the maximum number of movies that Elyse can rent on line

6 0

3 years ago