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3 years ago

You do not need to flip the inequality sign when solving the following -5 ≤ 4r + 3.

2 answers:

7 0

Yes.

For inequality equation, you only flip the sign when you divide a negative number into both sides, here you will divide 4 on each side, so you won't flip the sign.

-Dominant- [34]3 years ago

7 0

the answer is true

do i get a prize?

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Of 100 students,65 are members of a mathematics club and 40 are members of a physics club. if 10 are members of neither club the

alexandr1967 [171]

a. 15 students are members of both clubs

b. 50 students only are members of the mathematics club

c. 25 students only are members of the physics club

Step-by-step explanation:

The given is:

There are 100 students
65 are members of a mathematics club
40 are members of a physics club
10 are members of neither club

We need to find how many students are members of

a. both clubs?

b. only mathematics club

c. only physics club

∵ The total number of students = 100

∵ 10 are members of neither club

- Subtract 10 from 100 to find the members of the mathematics

club or the physics club

∵ 100 - 10 = 90

∴ There are 90 members of the mathematics club or physics club

∴ n(mathematics or physics) = 90

∵ 65 students are members of a mathematics club

∵ n(mathematics) = 65

∵ 40 students are members of a physics club

∴ n(physics) = 40

∵ n(mathematics or physics) = n(mathematics) + n(physics) - n(both)

∴ 90 = 65 + 40 - n(both)

∴ 90 = 105 - n(both)

- Add n(both) to each side

∴ n(both) + 90 = 105

- Subtract 90 from each side

∴ n(both) = 15

∴ 15 students are members of both clubs

a. 15 students are members of both clubs

∵ 65 students are members of the mathematics club

∵ 15 of them are members of the physics club

∴ n(mathematics only) = 65 - 15 = 50

∴ 50 students only are members of the mathematics club

b. 50 students only are members of the mathematics club

∵ 40 students are members of the physics club

∵ 15 of them are members of the mathematics club

∴ n(physics only) = 40 - 15 = 25

∴ 25 students only are members of the physics club

c. 25 students only are members of the physics club

Learn more:

You can learn more about word problems in brainly.com/question/8907574

#LearnwithBrainly

5 0

3 years ago

Find the range of the data in the box plot below.

kifflom [539]

Answer:

Step-by-step explanation:

22-6=16 ;0

3 0

3 years ago

Mrs. Flores asked her students to write a number, its opposite, and its absolute value, in that order. Four of her students turn

oee [108]

Answer:

Sarah is correct

Step-by-step explanation:

Required

Which of the students is correct

Let a number be x,

Given what the teacher asked the students to do, the solution is:

$Number = x$

$Opposite = -x$

$Absolute = |x|$

Only Sarah got this correctly; others are incorrect.

The proof is as follows.

For Sarah

$Number = 1416$

$Opposite = -1416$

$Absolute =|1416| = 1416$

So, the numbers will be: 1416, -1416 and 1416

<em>Other students are incorrect</em>

4 0

3 years ago

Irene's mean score on 5 tests is 88%. What is

Anestetic [448]

Answer: The least score she can get on her next test is 455 points.

Step-by-step explanation: From the available information, her current mean score is 88%, and that was achieved from a total of 5 tests. Hence, her mean score was computed as follows;

Mean = (Summation of data)/observed data

Where the observed data is 5 and the mean is 88. Therefore the mean can now be expressed as,

88 = Summation of data/5

By cross multiplication we now have

88 x 5 = Summation of data

440 = Summation of data.

So, if she wants to raise her mean score on her next test to 91%, her least possible score would be derived as

91 = (Summation of data)/5

By cross multiplication we now have

91 x5 = Summation of data

455 = Summation of data

Therefore, on her next test, she must score at least 455 points.

4 0

3 years ago

Find the measure of each marked angle.

Tatiana [17]

Answer:

x degrees = 50 degrees.

x + 50 degrees = 50 + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Step-by-step explanation:

In a triangle, the sum of all inside angles must be 180 degrees.

In this question:

The inside angles are: x, x + 50 and 180 - 3x.

Then

x + x + 50 + 180 - 3x = 180

2x - 3x = -50

x = 50

x degrees = 50 degrees.

x + 50 degrees = 50 + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

6 0

4 years ago