Suppose that there are two types of tickets to a show: advanced and same-day. The combined cost of one advance ticket and one-same day ticket is $60. For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was $1,700. What was the price of each kind of ticket?

Answer:

a) 70

Step-by-step explanation:

because it is a C, so it is the median score

Answer:

THere is no PICTURE
thank you :)

Step-by-step explanation:

There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

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Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29

Answer:

1.  dividing

2.  faster than

Step-by-step explanation:

Edge 2020

Answer:

The speed of a turtle can be found by distance by time.

   adding

   subtracting

   multiplying

✔ dividing

The speed of the winning turtle was the speed of the other two turtles.

   slower than

   the same speed as

✔ faster than

The multiplication fact that can help you find 24 divided by 4 is 4 x 6.

Answer:

d) d(x)

Step-by-step explanation:

Derivative Rules

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

6332 is the right answer of these question

An expression for the distance between arbitrary point (x,y) and the following points is \(\sqrt{(x-7)^2+(y-2)^2}\).

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

\(D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

We are given that;

A fixed pont (x,y)

Now, distance from point 1 (2,3)

\(D = √[(x-2)² + (y-3)²] D = \sqrt{(x-2)^2 + (y-3)^2} \: \rm\)

Distance from point 2 (-4,5)

\(D = √[(x+4)² + (y-5)²] D = \sqrt{(x+4)^2 + (y-5)^2} \: \rm\)

Distance from point 3 (7,2)

\(D = √[(x-7)² + (y-2)²] D = \sqrt{(x-7)^2 + (y-2)^2} \: \rm\)

Therefore, the distance expression between two points will be \(\sqrt{(x-7)^2+(y-2)^2}\)

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Answer:

Your slope is -3/2 and your y-intercept is -3/2

Step-by-step explanation:

Let's solve for x.

2x−y=−3

Step 1: Add y to both sides.

2x−y+y=−3+y

2x=y−3

Step 2: Divide both sides by 2.

2x/2=y−3/2

x=1/2y+−3/2

The expression can be used to represent this situation is 12°C - 12°C. option A

This is the degree of hotness or coldness of a particular place or person at a period of time.

Expression to represent the situation;

Original temperature = Temperature at 12:00 midni-ght + (Temperature at 6:00am)

= 12°C + (-12°C)

= 12°C - 12°C

Therefore, the expression can be used to represent this situation is 12°C - 12°C.

Complete question:

From 12:00 midni-ght to 6:00am, the

temperature decreased by 12°C. If the original temperature was 12°C, which expression can be used to represent this situation?

A. 12-12

B. 12 + 12

C. 12- (-12)

D. -12 + (-12)

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Answer:

124

Step-by-step explanation:

Have a nice day :)

Arc AC is 180º, arc BC is 56º:

\(180+56 +\arc{BA} = 360\implies BA = 124\)

The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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Answer:

2 solutions

Step-by-step explanation:

Answer:a A. 4x-7/2x(x-2)

got it right on the test

Step-by-step explanation:

Answer:

Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. The process entails collecting like terms, which implies adding or subtracting terms in an expression.

Answer:

The probability scale for this question is not 100% sure to buy shoes so the scale is given to be even chance(1/2).

Step-by-step explanation:

Answer:

a:b:c

1a) 14:16:7

b) 2:1:5

c) 2:1:48

d) 15:24:32

2) 56:12:3

Step-by-step explanation:

Untuk membentuk nisbah tiga kuantiti, pertama-tama kita menukar masing-masing menjadi unit yang sama.

a) 2 minggu hingga 16 hari hingga 1 minggu

Menukar semuanya menjadi bilangan hari, kerana ia sangat setanding.

2 minggu = 14 hari

16 hari = 16 hari

1 minggu = 7 hari

2 minggu hingga 16 hari hingga 1 minggu = 14 hari hingga 16 hari hingga 7 hari

14: 16: 7

b) 0.1 kg hingga 50 g hingga 0.25 kg

Menukar semua menjadi gram

= 100 g hingga 50 g hingga 250 g

= 100: 50: 250

Bahagikan dengan 50

= 2 : 1 : 5

c) 4 minit hingga 120 saat hingga 1.6 jam

Menukar semua menjadi beberapa saat

= 240 saat hingga 120 saat hingga (1.6 × 60 × 60) saat

= 240 saat hingga 120 saat hingga 5,760 saat

= 2: 1: 48

d) 3 m hingga 480 cm hingga 6 400 mm

Menukar semua ini menjadi mm

= 3000 mm hingga 4800 mm hingga 6400 mm

Membahagi hingga 200 mm

= 15:24:32

2) RM5.60 hingga RM1.20 hingga 30 sen

Menukar semuanya kepada sen

= 560 sen hingga 120 sen hingga 30 sen

Membahagi hingga 10

= 56: 12: 3

Semoga ini Membantu !!!

English Translation

Solution

0.02 m: 3 cm: 4.6 cm = 2 cm: 3 cm: 4.6 cm = 2: 3: 4.6

20:30:46

10:15:23

Self Training 4.1a

1. Represent the relationship between the following three quantities in the form a: b: c.

(a) 2 weeks to 16 days to 1 week

(b) 0.1 kg to 50 g to 0.25 kg

(c) 4 minutes to 120 seconds to 1.6 hours

(d) 3 m to 480 cm to 6 400 mm

2. Tahir pays RM5.60 for a plate of beriani rice, RM1.20 for a glass of tea and 30 cents for a piece of cake.

Represent the price relationship for beriani rice, tea and cake in the form of a: b: c.

Solution

To form a ratio of three quantities, we first convert each of them to the same units.

a) 2 weeks to 16 days to 1 week

Converting all of it to number of days, as itnis very comparable.

2 weeks = 14 days

16 days = 16 days

1 week = 7 days

2 weeks to 16 days to 1 week

= 14 days to 16 days to 7 days

14 : 16 : 7

b) 0.1 kg to 50 g to 0.25 kg

Converting all into grams

= 100 g to 50 g to 250 g

= 100 : 50 : 250

Divide through by 50

= 2 : 1 : 5

(c) 4 minutes to 120 seconds to 1.6 hours

Converting all into seconds

= 240 seconds to 120 seconds to (1.6×60×60) seconds

= 240 seconds to 120 seconds to 5,760 seconds

= 2:1:48

(d) 3 m to 480 cm to 6 400 mm

Converting all of this to mm

= 3000 mm to 4800 mm to 6400 mm

Dividing through by 200 mm

= 15:24:32

2) RM5.60 to RM1.20 to 30 cents

Converting it all to cents

= 560 cents to 120 cents to 30 cents

Dividing through by 10

= 56:12:3

Hope this Helps!!!

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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Alex has received a rate of return of 0.25, or 25%, on his investment.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To calculate the rate of return that Alex has received, we can use the formula:

rate of return = (final value - initial value) / initial value

where the final value is the value of the investment after the period of time in question, and the initial value is the value of the investment at the beginning of that period.

In this case, the final value is $1,250 and the initial value is $1,000, so we have:

rate of return = (1250 - 1000) / 1000 = 0.25

Therefore, Alex has received a rate of return of 0.25, or 25%, on his investment.

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Answer:-3x - 12 + 5x

Step-by-step explanation:

Answer:

The complete question is defined in the attached file please find it.

Step-by-step explanation:

For question 1:

\(\to 4-(3+1)^2 - 6\div 2 +4 \\\\\to 4-(4)^2 - 6\div 2 +4\\\\\to 4-16 - 3 +4\\\\\to 4-19 +4\\\\\to 4-15\\\\\to -11\)

For question 2:

\(\to 7x^3 +2x -5x^2+6+ x+ 9+ 3x^3 +12x^2 \\\\\to 7x^3 +3x^3+12x^2 -5x^2+2x+x+9+6 \\\\\to 10x^3 +7x^2+3x+15 \\\\\)

For question 3:

\(\to (2x^5- 3x^2+4)-(x^5+2x^2+7)\\\\\to 2x^5- 3x^2+4-x^5-2x^2-7\\\\\to x^5- 5x^2-3\\\\\)

For question 4:

\(\to 3x^2(4x^3- 2x^2+7x -4) \\\\\to 12x^5- 6x^4+21x^3 -12x^2 \\\\\)

For question 5:

\(\to 6x^2+9x-7 \ \ \text{when} \ \ x=2\\\\\to 6(2)^2+9(2)-7 \\\\\to 6(4)+9(2)-7 \\\\\to 24+18-7 \\\\\to 24+11 \\\\\to 35\)

The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Answer:

He must make $7,500 in sale

Step-by-step explanation:

Let's say:

s = amount make in sales per week

P1 = weekly salary of Plan 1

P2 = weekly salary of Plan 2

P1 and P2 can be expressed using the fixed amount plus the commission.

P1 = 600 + 0.02s

P2 = 0 + 0.1s

P2 = 0.1s

If both plans result in the same salary:

P1 = P2

600 + 0.02s = 0.1s

0.1s - 0.02s = 600

0.08s = 600

s = 600/0.08

s = $7,500

Answer:

It should be 15 c

Step-by-step explanation:

Basically you would move down the number line until you get to -8c and count how much you moved.

Answer: choice A

Step-by-step explanation:

by rearranging the initial inequality you’ll get

\(\frac{3}{2} x\leq 5-\frac{1}{3}\)

which equals

\(\frac{3}{2} x\leq\frac{14}{3}\)

then multiply both sides by 2/3

\(x\leq \frac{28}{9}\)

The range of \(y =\log_8(x)\) is the set of all real values

The function is given as:

\(y =\log_8(x)\)

The above function is a parent logarithmic function.

The parent logarithmic function have a range of the set of all real values

Hence, the range of \(y =\log_8(x)\) is the set of all real values

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Answer:

D

Step-by-step explanation:

on edg