Chapter 6 Study Guide
Tickets for a school play cost $6 for adults and $4 for students. At the end of the play, the school sold a total of 60 tickets
and collected $360

Answer:

-x+6< 5

there is a line under the less than symbol

Step-by-step explanation:

The mathematical expression is;

⇒ - x + 6 ≤ 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The algebraic expression is,

''The sum of the opposite of a number and six is less than or equal to

five.​''

Now,

Let a number = x

The, The opposite of a number = - x

So, We can formulate;

⇒ - x + 6 ≤ 5

Thus, The mathematical expression is;

⇒ - x + 6 ≤ 5

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Answer:

764900

Step-by-step explanation:

25x4 = 100

7649x100 = 764900

Answer:

6.28 hours

Step-by-step explanation:

103880/18.55 = 35168/x

103880x = 652366.4

x = 6.28

6.28 hours or 6 hours 28 minutes

Answer:

624

Step-by-step explanation:

I hope it helps i did the test  btw <3

Answer:

624

Step-by-step explanation:

I also did that same exact test. K12 right? That is what I go to. Anyway that answer is correct. Your welcome!

Answer

there will be 6 on all three pages

Step-by-step explanation:

divide 18 by 3

Answer:

50 i think

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

Given,

In the second transversal 40° is correspondent to second parallel line in the pair so we get 40° here.

Then, at intersection we get 90°.

Now, by the problem,

180° -90° -40° = 50° [linear pair]

Hence, we got 50° at intersection of second line.

Now,

angle x = 50° (corresponding angles)

Answer:

Reduce the expression, if possible, by eliminating common factors.

Exact form:

1/30

Decimal form:

0.03

Answer:75.398

Step-by-step explanation:

Answer:

First, we need to find the mean and median of the scores.

Mean:

86+72+92+62+99+93=504

There are 6 test scores, so:

504 ÷ 6 = 84

Median:

62, 72, 86, 92, 93, 99

86 + 92 = 172

172 ÷ 2 = 86

The answer would be:

Mean: 84

Median: 86

Answer:2

Step-by-step explanation:

Answer: 91

Step-by-step explanation:

Answer:

I hope u can sleep more

Step-by-step explanation:

Answer:

ohhhhhhh

Step-by-step explanation:

yea that sucks but why can't you go to bed until 8-9?????

Answer:

jsuw

Step-by-step explanation:

bauxiiqodoysyvw. a dejavu losentino verete la müa

Answer:

Step-by-step explanation:

-4x <_ -8

x <_ -8 ÷-4

x <_ 2

Answer:

So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places

Step-by-step explanation:

hope this helps :)

9514 1404 393

Answer:

  56

Step-by-step explanation:

In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.

Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.

So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.

__

Check

  56 × 6 = 336

  65 × 5 = 325

  5 + 6 = 11

_____

* Additional comment

These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625

Answer:

1.-179

2.68

3. 11

4. 25

5. -734

Answer:

t = 5/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

3t + 7 = 2 + 5t

Step 2: Solve for t

Answer:

Explanation:

3t + 7 = 2 + 5t

3t + 7 = 5t + 2

3t + 7 − 5t = 5t + 2 − 5t

−2t + 7 = 2

−2t + 7 − 7 = 2 − 7

−2t = −5

Divide both sides by -2

−2t / -2 = −5 / -2

t = ⁵⁄₂

t = 2.5

t = ⁵⁄₂ or 2.5

Answer:

C)Only III follows

Step-by-step explanation:

Let's review the conclusions;

I. Some proses are songs.

This is false because of the statement; No song is prose.

II. Some epics are lullabies.

This is false because of the following statements; A lullaby is a song. and No song is prose.

III. Some songs are lullabies.

This follows because of the statement; A lullaby is a song.

The correct option is;

C)Only III follows

The correct conclusion based on the logical statements is C) Only III follows.

1. A lullaby is a song.

2. No song is prose.

3. Some proses are epics.

I. Some proses are songs.

II. Some epics are lullabies.

III. Some songs are lullabies.

The first conclusion that some proses are songs is not sound because the earlier claim is that "no song is prose." In the same light, the second conclusion is incorrect because a lullaby is usually a song as asserted in statement 1. While epics can be prose or poem, a lullaby is not prose but a poem or a song.

Thus, the correct conclusion based on the logical statements is C) Only III follows.

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Answer:

1) Between 12.5 miles and 21.7 miles.

2) b) 75%

3) c) 95%

4) Between 13.7 miles and 20.5 miles.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]P = 100(1 - \frac{1}{k^{2}})[/tex].

1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.

Within k standard deviations of the mean, and k is found when [tex]P = 36[/tex]. So

[tex]P = 100(1 - \frac{1}{k^{2}})[/tex]

[tex]36 = 100 - \frac{100}{k^2}[/tex]

[tex]\frac{100}{k^2} = 64[/tex]

[tex]64k^2 = 100[/tex]

[tex]k^2 = \frac{100}{64}[/tex]

[tex]k = \sqrt{\frac{100}{64}}[/tex]

[tex]k = \frac{10}{8}[/tex]

[tex]k = 1.25[/tex]

Within 1.25 standard deviations of the mean.

1.25*3.7 = 4.6 miles

17.1 - 4.6 = 12.5 miles

17.1 + 4.6 = 21.7 miles

Between 12.5 miles and 21.7 miles.

2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.

17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.

3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.

Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.

4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.

Within 1 standard deviation of the mean.

17.1 - 3.4 = 13.7

17.1 + 3.4 = 20.5

Between 13.7 miles and 20.5 miles.

Answer:

The first one is correct

Step-by-step explanation:

-3<1-1 - 3<0 correct

-3>1 it is not correct

Answer:

Step-by-step explanation:

x-5(x-1) = x- (2x-3)​

x  + x *(-5) + (-1) * (-5) = x +  2x*(-1) + (-3)*(-1) {use distributive property}

x - 5x + 5 = x - 2x +3   {Combine like terms}

    -4x + 5 = - x +3           {Add 'x' to both sides}

-4x + 5 + x  = -x + x + 3

       -3x + 5 = 3           {subtract 5 from both sides}

            -3x = 3 - 5

            -3x = -2           {Divide both sides by (-3)}

              x = -2/-3

               x = 2/3

Answer:

$12,000.

Step-by-step explanation:

Given that in the year 2001, a person bought a new car for $ 15500, and for each consecutive year after that, the value of the car depreciated by 5%, to determine how much would the car be worth in the year 2005, to the nearest hundred dollars, the following calculation must be performed:

100-5 = 95

15,500 x 0.95 x 0.95 x 0.95 x 0.95 x 0.95 = X

14.725 x 0.95 x 0.95 x 0.95 x 0.95 = X

13,988.75 x 0.95 x 0.95 x 0.95 = X

13,289.3125 x 0.95 x 0.95 = X

12,624.846875 x 0.95 = X

11.993.60453125 = X

Thus, to the nearest hundred dollars, the cost of the car after 5 years will be $ 12,000.

Answer:

4. acute

5. obtuse

6. obtuse

Step-by-step explanation:

Answer:

4.2 ft

Step-by-step explanation:

Reference angle = 77°

Opposite side = DE = x

Hypotenuse = CD = 4.3 ft

Apply the trigonometric function of sine. Thus:

Sin 77 = opp/hyp

Sin 77 = x/4.3

Multiply both sides by 4.3

4.3 × sin 77 = x

x = 4.2 ft (nearest tenth)

Answer: D, C, A

Step-by-step explanation:

An exterior angle is an angle that is supplementary to an interior angle.

The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.

Exterior angles become by a side of that figure and its extended adjacent side.

The exterior angle has been attached.

Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.

Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.

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Answer:

.40 cents each.

Step-by-step explanation:

$3.20/8=.40