Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $230 and first class tickets for $1290. She used her total budget for airfare for the trip, which was $7600. How many first class tickets did she buy? How many coach tickets did she buy?

Answers

Answer 1

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

9 + y = 17

y = 8

Sarah bought y = 8 first class tickets.


Related Questions

Write the opposite of 6

Answers

Answer:

-6 or negative six in words

OPPOSITE OF A NUMBER IS ALSO KNOWN AS INVERSE

Answer:

-6

Step-by-step explanation:

rename the number 600,000

Answers

Answer:

if you're talking about renaming it in word form it would be a six hundred- thousand or is you're doing it in an equation its gonna be (6x10) x (10x1000)

Step-by-step explanation:

The price of a sweater was reduced from $20 to $12 by what percentage was the price of the sweater reduced

Answers

It should be a 40% reduction :)

If price  of a sweater was reduced from $20 to $12 then the percentage was the price of the sweater reduced is 40%.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that the price of a sweater was reduced from $20 to $12.

Original price is 20.

new price is 12.

We have to find the how much  percentage was the price of the sweater reduced.

To do this we have to find the difference between prices over the original price and multiply with 100.

Percentage = 20-12/20×100

=8/20×100

=40%

Hence, if price  of a sweater was reduced from $20 to $12 then the percentage was the price of the sweater reduced is 40%.

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What is the slope of the line that contains the points (-3, 2) and (-3, 5)?

Answers

Answer:

The slope is Undefined

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

Slope = Undifine

Which set of ordered pairs represents y as a function of x?
Group of answer choices

{(0, 0), (1, 1), (1, 0), (2, 1)}

{(2, -1), (4, -2), (6, -3), (8, -4)}

{(1, -5), (1, 5), (2, -10), (2, -15)}

{(3, 3), (3, 4), (4, 3), (4, 4)}

Answers

Answer: Choice B

{(2, -1), (4, -2), (6, -3), (8, -4)}

In this relation, each point has a unique x coordinate. None of the x coordinates repeat themselves.

For something like choice A, we have x = 1 repeated. The input x = 1 leads to multiple outputs (y = 1 and y = 0 simultaneously).

The same situation happens in choice C also. This time x = 1 and x = 2 repeat themselves.

Choice D has x = 3 and x = 4 repeat themselves.

A function is only possible if each x input leads to exactly one y output.

The girls at a student dance outnumbered the boys by 14. Altogether there
were 102 students at the dance. How many boys and how many girls were
present at the dance? Define two variables and then set up two equations. Solve
using either substitution or elimination.

Answers

Answer:

58 girls

44 boys

Step-by-step explanation:    

102 divided by 2= 51                              have to divide, 14 divided by 2 = 7

51 - 7= 44

51 + 7= 58

58 + 44= 102

according to my calculations hope i helped ^_^

and also 58 -44= 14 is the difference between them

Rosita earned $325 for working 25 hours last week. What is her hourly rate?

Answers

Answer:

13

Step-by-step explanation: 325/25=13

The hourly working rate of Rosita is equal to $325.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rosita earned $325 for working 25 hours last week. The hourly rate will be calculated as,

To calculate the hourly rate divide the total earnings by the working hours.

Rate = 325 / 25

Rate = $13

The rate is $13 per hour.

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Help Please! Solve For X In The Diagram.

Answers

Answer:

[tex] \boxed{x = 11.}[/tex]

Step-by-step explanation:

[tex]180 - (7x - 7) + 50 + (x + 9) = 180 \to sum \: of \: angles\\ - 7x + 7+ 50 + x + 9 =0 \\ 6x = 66 \\ x = \frac{66}{6} \\ x = 11.[/tex]

♨Rage♨

PLEASE HELP ON THESE 2

Answers

The answers to these problems are 1.B and 2.C

can somebody help me please ?

Answers

Answer:

ik that angle one would be the same as 3 and 2 and 4 are also the same so if u find an answer for 2 or 4 they would be the same but is there like a total of the entire thing

Answer:

Angle 1 = 72 degrees

Angle 2 = 110 degrees

Angle 4 = 110 degrees

Step-by-step explanation:

Use angle rules.

Angle 2 + angle 3 = 180, because they supplementary angles.  Therefore, to find angle 2, you can do 180 - 72 = 110 degrees.

Angle 1 and angle 3 are vertical angles, meaning they are equal.  Thus, angle 1 = 72 degrees.

Angle 2 and 4 are vertical angles, meaning they are equal.  Thus, angle 4 = 110 degrees.

7 + ✓-25 what is the answer pls

Answers

Answer:

7 + 5i

Step-by-step explanation:

What is the square root of 25? Start by thinking about that.

Well, it's 5.

But because the 25 isn't positive, it's negative.

The square is 5i.

Then, you get 7 + 5i.

That can't be simplified any more, so that's your final equation.

Which equation describes the line with a slope of 2 that contains the point (-4,-4)

Answers

Answer:

2x-y=-4

Step-by-step explanation:

(y-y1) = m(x-x1)

m = 2

x1 = -4

y1 = -4

(y+4)=2(x+4)

y+4=2x+8

2x-y+4=0

Are lines m1 and m2 parallel? Explain Yes, because line m1 has a slope of -\frac{5}{2}− 2 5 ​ and m2 has a slope of -2 No, because lines m1 and m2 have the same slope of -\frac{5}{2}− 2 5 ​ No, because line m1 has a slope of -\frac{5}{2}− 2 5 ​ and m2 has a slope of -2 Yes, because lines m1 and m2 have the same slope of -2 Item at position 2 2

Answers

Answer:

Yes, because lines m1 and m2 have the same slope of -2

Step-by-step explanation:

For given two lines L1 and L2 with slope m1 and m2 respectively, the condition for the two lines to be parallel is for the two equations to have the same slope. If m1 = m2, the meaning is that the line L1 and L2 are parallel to each other no matter the equation of the lines in question.

The general equation of a line is y = mx+c where;

m is the slope and c is the intercept.

Even though we are not given the equation of both lines, the base line is that for two lines to be parallel to each other, they must have the same slope.

The correct option is therefore "Yes, because lines m1 and m2 have the same slope of -2"

I need help Question 2 (1 point)

Answers

Answer:

12 units

Step-by-step explanation:

Each side of the triangle is 1 unit. When putting 10 triangles together in figure 10, there will be 12 sides on the perimeter. Therefore, your answer is 12 units.

y= |x-2| +3 identify the vertex, axis of symmetry, and transformation from the parent function f(x)=|x|

Answers

Answer:

vertex (-6,0) axis of symetry x= -6

Step-by-step explanation:

just complete h, i, j, k, L pleaseee I'll brainlist​ (don't forget working out)

Answers

Answer:

h) -9

i) 2

j) -8

k) -5

l) 0

Step-by-step explanation:

h) 3(a+bc) = 3(5+4*-2) = 3(5-8) = 3(-3) = -9

i) (2a+b)/7 = (2*5+4)/7 = (10+4)/7 = 14/7 = 2

j) 8(3a-4b) = (8(3*5 - 4*4) = 8(15-16) = 8(-1) = -8

k) (abc-5)/9 = ((5*4*-2)-5)/9 = (-40-5)/9 = -45/9 = -5

l) (b+2c)/(a) = (4 + 2*-2)/(5) = 0/5 = 0

Answer:

h. -9

I. 2

j. -8

k. -5

l. 0

Step-by-step explanation:

h. 3(5+ (4)(-2))

3(5+ -8)

3(-3)

-9

i. (2(5)+(4)) / 7

(10+4) / 7

14 / 7

2

j. 8(3(5) - 4(4))

8(15 - 16)

8(-1)

-8

k. ((5)(4)(-2) - 5) / 9

(-40 - 5) / 9

-45 /9

-5

l. (4 + 2(-2)) / 5

(4 + -4) / 5

0 / 5

0 (since 0 divided by anything is 0)

A car is traveling at a rate of 10 meters per second in a 20-mile-per-hour speed limit zone.

Answers

22.3694

Step-by-step explanation:

each mps is 2.23694 x 10 = 22.3694

Find the GCF of the numbers using lists of factors.
27,45
30,48
28,48,64

Answers

Answer:

1.) 6

2.)6

3,)4

Step-by-step explanation:

I think these are the gcf of the numbers

During a period of extreme cold, the average daily temperature dropped decreased by 1. Feach day. How many days did it take for the temperature to
decrease by 9 F? Which equation would you use to find the solution?

Answers

Answer:

The answer is 9 days

Step-by-step explanation:

First, we realise

-1.F = 1 day

-9.F = 9 days

The -1.F times 9 gives us one so the days times 9 as well.

Answer = 9

solve
7p + 8p - 12 = 59

Answers

combine like terms first
15p-12=59
add 12 ro both sides
15p=71
p=4.733

Anyone know how to do these?

Answers

Answer:

1.4x10^-7

Step-by-step explanation:

For Problem 6

First we would divide the first numbers together so 7.84 / 5.6 = 1.4

We then would add the exponenites together so -3+-4=-7

Leading our awnser to be 1.4x10^-7

Write the equation of the line slope-intercept form that is parallel to y=-2x-9 and contains (4,-3)
A. y=-2x-11
B. y=-2x+5
C. y=-2x+11
D. y=-2x-11​

Answers

Answer:

a

Step-by-step explanation:

What is 30 ÷ 2334565

Answers

Answer:

In decimal form: 0.0000128503597

Other formats:

In scientific notation: 1.2850357x[tex]10^{-5}[/tex]

Answer:

0.0000128504

Step-by-step explanation:

per mycalculator

30÷2,334,565

In which pair of figures can Figure A be taken to Figure B by a rotatio

Answers

Answer:

Step-by-step explanation:

I don’t think you added a picture

A manufacturer contracts to supply ball bearings with diameters between 24.60 millimeters and 25.40 millimeters. Product analysis indicates that the ball bearings manufactured have diameters that are normally distributed with a mean of 25.10 millimeters and a standard deviation of 0.20 millimeters. What percentage of ball bearings fail to satisfy the contract specifications?

Answers

Answer:

7.3%

Step-by-step explanation:

to get this percentage, we need to use the z-score calculation;

z-score = (x-mean)/SD

mean = 25.10 , SD = 0.2

For diameter 24.60

z-score = (24.6-25.10)/0.2 = -0.5/0.2 = -2.5

For diameter 25.40

z-score = (25.4-25.1)/0.2 = 1.5

So the proportion that will satisfy the specifications will be;

P(-2.5 < z < 1.5)

At this point, we use the standard normal table

P(-2.5 < z < 1.5) = P (z<1.5) - P (Z < -2.5)

From standard normal table;

P(Z < 1.5) = 0.9332

P(z < -2.5) = 0.0062

P(-2.5 < z < 1.5) = 0.9332 - 0.0062 = 0.927

So the proportion that meets specification = 92.7% ( same as 0.927)

Proportion failing to meet specification = 100- 92.7% = 7.3%

Answer: The percentage of ball bearings fail to satisfy the contract specifaction is 7.3 %.

Step-by-step explanation:

First we need to find the standard score of 24.60 and 25.40. Using Standard Score formula.

[tex]\frac{24.60 - 25.10}{.20} =-2.5\\\\\frac{25.4 - 25.10}{.20}=1.5[/tex]

now we need to find the percentages of these Z scores.

-2.5 = .0062 or 00.62%

1.5 = .9332 or 93.32%

now we subtract these two to get the in between percentage.

.9332 - .0062 = .927 or 92.7% is what doesnt fail to satifsy the contract spefications! But to find what does fail to satisfy we have to subtract it by 100% or 1.

1 - .927 = 0.073

7.3%

i need some help with these

Answers

Answer:

1. 6+x

3.x-12

5. a-1

7.z÷8

9.10+x^3

Last August, the Martin family paid 75 for home owners association fee in February,they paid 54 what is the percent of decrease

Answers

Answer:

21% decrease

Step-by-step explanation:

just took 75 _ 54 and came up with 21 and juat added the % to it

Will mark BRAINLYLIST if you help plzzzzz!!!!!

Answers

Answer. x- 56
Explanation. The top two angles are the same, therefore, 62+62= 124. Since we know a triangle MUST be 180°, 180-124= 56. I hope this is correct and good luck :))

Find the range of f given the domain
= {-2, 0, 5, 9}

Answers

Answer:

The range to {-2, 0, 5, 9} is 11

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 9 − − 2 = 11 .

11

I hope this helps

(PLEASE HELP ITS TIMED SLRGSRPGSRJMP;SXR)
Marie can find the volume of a cube by using the formula V = s ³, where s represents the side length of the cube. If Marie’s cube has a side length of 2 and 1/2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction AND a decimal.

Answers

Answer:

8 x 4(7x) x^9

Step-by-step explanation

JUST TAKE THE ANSWER FSBXNFDCDWRGTCHVBHGFDCCFVGHGFVC VBHYREWSZEDXCFGTGVBHJUKJMK

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