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Serggg [28]
2 years ago
13

5. Elijah eats of a grapefruit every morning for breakfast. Which fraction shows how many grapefruits he will eat in 7 days? SOM

EONE HELP PLS ITS A TEST!

Mathematics
1 answer:
dezoksy [38]2 years ago
3 0

Answer:

7/2

Step-by-step explanation:

he will have eaten 3.5 grapefruits in 7 days

7/2= 3.5

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Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
Spencer has 1/3 pound of nuts he divides the nuts equally into four bags what fraction of a pound of nuts is in each bag
larisa86 [58]
First, divide 1/3 by four, which is 1/12. So that means the four bags will each contain 1/12 a pound of nuts.
8 0
3 years ago
A car dealer will sell you a used car for $6,898 with $798 down and payments of $169.51 per month for 48 months. What is
Leokris [45]

Answer:

d

Step-by-step explanalime boba no other

7 0
3 years ago
Quit Smoking: The New England Journal of Medicine published the results of a double-blind, placebo-controlled experiment to stud
Juliette [100K]

Answer:

Option A is correct.

In this experiment the nicotine treatment had a higher success rate than the placebo group, but the improvement was less than 1%. It was exactly 0.8%

Step-by-step explanation:

In a drug treatment experiment, there are usually two groups.

- The treatment group; they get the full dosage and content of the drug to be tested.

- The placebo group; here, they sort of serve as the control group. They get the dosage of the drug to be tested with the active ingredient of the drug removed.

Double blind means that both the participants and the conductors do not know which members belong to which treatment group. It is used to increase the randomness of the sampling technique.

For this experiment, nicotine patches, antidepressants and bupropion are used to help people quit smoking.

It is explained that the the rate at which the participants quit smoking is recorded and at the end, a sample mean is obtained.

The difference in sample means of both groups is then obtained by solving

(Rate of quit smoking for the treatment group) - (Rate of quit smoking for the placebo group)

This difference was obtained to be positive 0.8%. It is evident that this figure represents a higher success rate for the treatment group than the placebo group, but the improvement was less than 1%. (0.8%).

All the other options are either incorrect or not clearly stated in the description ofthe experiment.

- In this experiment, the placebo group had a higher success rate than the nicotine group by 0.8%.

This is obviously not true, it is the reverse of the true statement.

- Nicotine patches will produce a slightly higher success rate when compared to a placebo, but the difference is not statistically significant.

This started with a true statement bit it ended with a statement we cannot confirm because we don't know the sample size for either of the groups involved in the experiment. So, it isn't totally true.

- Nicotine patches and the antidepressant bupropion work equally well on "quit smoking" rates.

They don't have an equal rate of working. The nicotine slightly works better as stated in the question.

Hope this Helps!!!

5 0
3 years ago
Factor completely, 0.2x + 0.8 a. x b. 0.8(x + 1) c. 0.2(x + 1) d. 0.2(x + 4)
Zepler [3.9K]

Answer:

d. 0.2 ( x + 4 )

Step-by-step explanation:

0.2x + 0.8

Both 0.2x and 0.8 have a common factor of 0.2, hence pull 0.2 out.

0.2x + 0.8

0.2 ( x + 4 )

5 0
3 years ago
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