Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 8 people took the trip. She was able to purchase coach tickets for ​$160 and first class tickets for ​$950. She used her total budget for airfare for the​ trip, which was ​$3650. How many first class tickets did she​ buy? How many coach tickets did she​ buy?

Answer:

x = 41

Step-by-step explanation:

6(x−6)=5(x+1)

Step 1 - Expand the brackets:

6(x - 6) = 5(x + 1)

6x - 36 = 5x + 5

Step 2 - Add 36 to both sides of the equation:

6x - 36 + 36 = 5x + 5 + 36

6x = 5x + 41

Step 3 - Subtract 5x from both sides of the equation:

6x - 5x = 5x + 41 - 5x

x = 41

Hope this helps!

[tex]\large\underline{\sf{Solution-}}[/tex]

Given expression:

6(X - 6) = 5(X + 1)

⇛6X - 36 = 5X + 5

⇛6X - 5X = 5 + 36

⇛X = 41 Ans.

Read more:

Similar question

simplify 6/x-6+3x/x+5-1/(x-6)(x+5)....

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we know that the colony is doubling, namely the rate of growth is 100% of whatever is existent, thus

[tex]\textit{Amount of Population Growth} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ A = 5000e^{1\cdot t}\implies \boxed{A = 5000e^t}[/tex]

Answer:

107 adults 16 children

Step-by-step explanation:

can i get brainlest

Answer:

try using a different app, it helps with all types of mathematical equations

The relationships between the two medians and an altitude marked on

ΔABC can be used to determine the true statements.

The true statements are;

Reasons:

A median line is a line that extends from the vertex to the midpoint of the

opposite side, bisecting the opposite side.

In the figure, we have;

The median of ΔABC are; JC, and BI

The point of intersection is the point K

The altitude is a perpendicular line from a vertex to the opposite side

known as the base of the triangle.

The given altitude of ΔABC is; AH

Therefore, the statements that are true are;

A. AH is an altitude

C. JC is a median

Learn more about the median line and altitude of a triangle here:

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Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]

The odd multiples of 9, [tex]m[/tex], in the range [tex]2\le m \le 82[/tex] form the set

[tex]\{9,27,45,63,81\}[/tex]

Each member of the set is a term of the arithmetic progression

[tex]U_n=18n+9[/tex]

where the values of [tex]n[/tex] range from 0 to 4, or [tex]0\le n\le 4[/tex]

Putting these facts together, we get the result

[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]

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Answer:

(3*5)+(19*3)

Step-by-step explanation:

both numbers GCF is 3.

(3*5)=15

(19*3)=57

15+57=72

Hope that helps

Answer:

Step-by-step explanation:

A' = (2 + 3, 1 + 2) = (5, 3)

B' = (-1 + 3, -3 + 2) = (2, -1)

C' = (3 + 3, -3 + 2) = (6, -1)

Answer: 6.087 tablespoons. or rounded to nearest whole, 6

Step-by-step explanation:

I just know

Probabilities are used to determine the chances of an event.

Let P represents the event that a student passes the course, and C represents the event that a student completes the assignment

(a) The probability a student passed the course given that they completed their homework?

From the table, we have:

[tex]\mathbf{n(P\ n\ C) = 25}[/tex]

[tex]\mathbf{n(C) = 30}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(C)}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{25}{30}}[/tex]

[tex]\mathbf{Pr = 0.8333}[/tex]

Express as percentage

[tex]\mathbf{Pr = 83.33\%}[/tex]

Hence, the probability a student passed the course given that they completed their homework is 83.33%

(b) The probability a student passed the course given that they didn't complete their homework

From the table, we have:

[tex]\mathbf{n(P\ n\ C'= 7}[/tex]

[tex]\mathbf{n(C') = 25}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C')}{n(C')}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7}{25}}[/tex]

[tex]\mathbf{Pr = 0.28}[/tex]

Express as percentage

[tex]\mathbf{Pr = 28\%}[/tex]

Hence, the probability a student passed the course given that they didn't complete their homework is 28%

(c) The probability a student completed their homework given that passed the course?

From the table, we have:

[tex]\mathbf{n(P\ n\ C) = 25}[/tex]

[tex]\mathbf{n(P) = 32}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(P)}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{25}{32}}[/tex]

[tex]\mathbf{Pr = 0.78125}[/tex]

Express as percentage

[tex]\mathbf{Pr = 78.125\%}[/tex]

Approximate

[tex]\mathbf{Pr = 78.13\%}[/tex]

Hence, the probability a student completed their homework given that they passed the course is 78.13%

(d) The probability a student didn't complete their homework given that they didn't pass the course

From the table, we have:

[tex]\mathbf{n(P'\ n\ C'= 18}[/tex]

[tex]\mathbf{n(P) = 23}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P'\ n\ C')}{n(P')}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{18}{23}}[/tex]

[tex]\mathbf{Pr = 0.7826}[/tex]

Express as percentage

[tex]\mathbf{Pr = 78.26\%}[/tex]

Hence, the probability a student didn't complete their homework given that they didn't pass the course is 78.26%

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Answer: 125

Step-by-step explanation: ∠4 and 55 are supplementary angles. This means that ∠4 and 55 add up to 180. We can use this to solve for ∠4.

180 - 55 = ∠4

125 = ∠4

So, ∠4 is equal to 125 degrees.

Would appreciate brainly <3

Answer:

Average County Tax Rate

0.520%

(Mercer County)

Property Taxes

$121

(Annual)

Step-by-step explanation: I'm assuming this is the answer, if you can please can you mark me Brainliest.

Answer:

24

Step-by-step explanation:

Step-by-step explanation:

24 is 3×8

so, when

3c = 5c-2

then

8×3c = 24c = 8×(5c-2) = 40c - 16

we know he filled 2/3 of the bucket in 15mins, how long for the "whole", namely 3/3 = whole, bearing in mind that 3/3 = 1, just the same as 7/7 = 1 or 1,000/1,000 = 1, so one whole is always 1 fraction wise.

[tex]\begin{array}{ccll} fraction&mins\\ \cline{1-2} \frac{2}{3}&15\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{1}=\cfrac{15}{x}\implies \cfrac{2}{3}x=15\implies \cfrac{2x}{3}=15 \\\\\\ 2x=45\implies x=\cfrac{45}{2}\implies x=22\frac{1}{2}\qquad \textit{22 minutes and 30 seconds}[/tex]

Step-by-step explanation:

The Real Answer Is 63

Maybe Positive Or Negative

Answer:

7x - y = -7

Step-by-step explanation:

Hope this helps!

Answer:

The correct answer is 66,045

Answer:

$1,875.01

Step-by-step explanation:

Cash in Bank :

DEBIT(+) :

+ $1,200.00

+ $387.89

+ $250.00

+ $437.12

CREDIT (-) :

- $400.00

Capital:

DEBIT (-) :

- $400.00

CREDIT (+) :

+ $1,200.00

+ $387.89

+ $250

Accounts Payable :

DEBIT (-):

0

CREDIT (+):

+ $437.12

Answer:

μX = the mean of X

σX = the standard deviation of X

If you draw random samples of size n, then as n increases, the random samples  

¯¯¯¯¯

X

which consists of sample means, tend to be normally distributed.

¯¯¯¯¯

X

~ N (

μ

x

,

σ

x

√

n

)

The central limit theorem for sample means says that if you keep drawing larger and larger samples (such as rolling one, two, five, and finally, ten dice) and calculating their means, the sample means form their own normal distribution (the sampling distribution). The normal distribution has the same mean as the original distribution and a variance that equals the original variance divided by, the sample size. The variable n is the number of values that are averaged together, not the number of times the experiment is done.

To put it more formally, if you draw random samples of size n, the distribution of the random variable

¯¯¯¯¯

X

, which consists of sample means, is called the sampling distribution of the mean. The sampling distribution of the mean approaches a normal distribution as the sample size n increases.

The random variable

¯¯¯¯¯

X

has a different z-score associated with it from that of the random variable X. The mean

¯¯¯

x

is the value of

¯¯¯¯¯

X

in one sample.

z =

¯¯¯

x

−

μ

x

σ

x

√

n

μ

x

=

μ

¯¯¯

x

 (mean of X = mean of

¯¯¯¯¯

X

. )

σ

¯¯¯

x

=

σ

x

√

n

= standard deviation of

¯¯¯¯¯

X

and is called the standard error of the mean.

Step-by-step explanation:

sorry if its hard/ confusing

Answer:

[tex]y < 3x - 4[/tex]

Step-by-step explanation:

We can tell right away, that the line has a positive slope, since it goes upwards and to the right. To find the slope exactly, we will use rise/run. We will count the units from the first given point until we reach the next point.

So we can tell that the slope is 3/1 or just 3.

Also, since the line crosses the y-axis at -4, this will be the y-intercept.

Next, since the line is dotted, we know that the inequality sign will either be the "greater than" sign, or the "lesser than" sign. In this case, since the shaded area is below the line, we will use the "lesser than" sign.

So all together, we have y < 3x - 4.

Hope this helps you :)

Answer:

1213.75

Step-by-step explanation:

you turn the percent int a decimal, and then multiply it by 4855. then the answer you get (3641.25) you subract 4855 by it to get the answer

Answer:

105

Step-by-step explanation:

yeah-ya............. right?

Answer:

Step-by-step explanation:

5 / 6 = 0.83333333...

0.833333...•100 = 83.333333...

83.3%

Answer:

You can do this type of questions with inverse proportion.

_

%83,3

Answer: 18

Step-by-step explanation: 93 - (46 + 29) = 18

Answer:

The population was 3040 people in 8 years.

Step-by-step explanation:

find unit rate;

3800/10 = 380

380 x 8 = 3040

Answer:

D

Step-by-step explanation:

Here, we have been asked to find the order of rotational symmetry of a symmetry of a regular pentagon. First let us learn about rotational symmetry and some basic terms related to it.

1. Rotational Symmetry: -

It is the property a shape has when it looks the same after some rotation by a partial turn. For example: - an equilateral triangle will look the same after a partial rotation of 120∘

2. Centre of rotation: -

The fixed point around which the rotation occurs is called the centre of rotation. For example: - the centre of rotation of a fan is the centre of the fan from which its blade originates.

3. Angle of Rotational Symmetry: -

The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. For example: - the angle of rotation of an equilateral triangle is 120∘

4. Order of Rotational Symmetry: -

The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still look the same. For example: - an equilateral triangle can be rotated 3 times around a full circle, each time at the angle of 120∘

, so its order of rotation will be 3.

In general, a regular polygon having n – sides have ‘n’ lines of symmetry and their order of rotational symmetry is ‘n’.

Now, let us come to the question. We have to find the order of rotational symmetry of a regular pentagon.

We know that a regular pentagon has 5 sides.