All categories

3 years ago

Which answer choice is a solution to the inequality 1.5x + 3.75≥5.5

Mathematics

2 answers:

djyliett [7]3 years ago

5 0

Answer:

$x \geq \frac{7}{6}$

The value of x is greater than or equal to 7/6

Step-by-step explanation:

$1.5x + 3.75\geq 5.5$

Solve the inequality for x

Subtract 3.75 from both sides

$1.5x + 3.75\geq 5.5$

$1.5x \geq 1.75$

Now divide both sides by 1.5

$x \geq \frac{1.75}{1.5}$

Simplify the fraction by dividing top and bottom by 0.25

$x \geq \frac{7}{6}$

The value of x is greater than or equal to 7/6

Solnce55 [7]3 years ago

4 0

Answer:

1.5 is the answer.

Step-by-step explanation:

You might be interested in

Find the area of a circle with a radius of 48mm

Ainat [17]

Answer:

A≈7238.23

Step-by-step explanation:

A=πr2

Area =π(48)2

8 0

3 years ago

500g:3kg.Give answer in lowest term

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.

So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.

500g:3,000g

So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.

Final Simplified Ratio: 1g:6g

Hope this helped :)

5 0

3 years ago

A tree DOUBLES in height each year until it reached its maximum height over the course of 10 years. How many years did it take f

RideAnS [48]

Answer:

9 years

the tree doubles in height

we can make a model

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256

256 x 2 = 512

512 x 2 = 1024

Let's say 1024 is the maximum height

half the maximum height is 1024 x 0.5 = 512 so it will take 9 years because it reached 512 on the 9th year

Step-by-step explanation:

8 0

3 years ago

1 p

dlinn [17]

Answer:

V = pi * R^2 * h

R = (V / (pi * h))^1/2 = (141.3 / (3.14 * 5))^1/2 = 3 cm

8 0

3 years ago

A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are

Alexeev081 [22]

Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A football team has a probability of .75 of winning when playing any of the other four teams in its conference.

The probability means that $p = 0.75$ , and four games means that $n = 4$

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164$

0.3164 = 31.64% probability the team wins all its conference games

4 0

3 years ago