A stadium has 20,000 reserved seats and 25,000 general admission seats. If reserved seats are $17.50 and general admission seats are $10.75, how much money would be taken in if tickets for all the seats were sold?

Answers

Answer 1

Reserved seats -
20,000 multiplied by $17.50 is $350,000

General seats -
25,000 multiplied by 10.75 is $268,750

$268,750 added with $350,000 is $618,750.

The total amount of money would be $618,750.

Hope this helps!

Related Questions

a 12-ft-by-15-ft swimming pool has a 3-ft-wide no-slip surface around it. what is the outer perimeter of the no-slip surface?

Answers

see diagram

we see we doulbe the 3 to add
3*2=6

6+12=18
6+15=21
thelength and width of the surfface is 18 by 21

P=2(L+W)
P=2(21+18)
P=2(39)
P=78

the perimiter is 78ft

Answer:

Step-by-step explanation:

78 ft

Evaluate the function for x = m/4
f(x) = 8x^2 - 4x

A. 2m^2 - m
B. m^2 - m
C. m^2/2 - 4m
D. m^2/2 - m

Answers

The answer is C I think.

Final answer:

To evaluate the function for x = m/4, substitute m/4 for x in the function[tex]f(x) = 8x^2 - 4x[/tex]and simplify to get the result [tex]m^2/2 - m.[/tex]

Explanation:

To evaluate the function [tex]f(x) = 8x^2 - 4x[/tex] for x = m/4, we substitute m/4 for x in the function and simplify.

Substitute x with m/4:

[tex]f(m/4) = 8(m/4)^2 - 4(m/4)[/tex]

Simplify the equation:

[tex]f(m/4) = 8(m^2/16) - m[/tex]

[tex]f(m/4) = (8/16)m^2 - m[/tex]

[tex]f(m/4) = m^2/2 - m[/tex]

Therefore, the correct answer is D. [tex]m^2/2 - m.[/tex]

Find the value of x in the triangle

Answers

Cos38 = 7,8/x
X= 7,8/cos38
= 9,90

9.898, or rounded to 9.90

Solve 2x - 5 = 2x + 4x - 12 plz :)

Answers

2x-5=6x-12; 2x+4x=6x (-12)

2x-5=2x+4x-12
2x-5=6x-12
+5 +5
2x=6x-7
-6 -6
-4x=-7
divide by -4 on both sides
x=7/4

Sarah has a job at a salon and she earns $50 per day plus tips. Her average tip is 15% of the total amount her customers spend on services. Sarah's daily income is represented by the variable y and the amount her customers spend is represented by the variable x. Which equation represents Sarah's daily income?

Answers

The answer would be A- Y=0.15x+50

The sum of two numbers is 180. One number is 5 times the other.

Answers

x +5x =18

6x =180

x = 180/6 = 30

1 number is 30

2nd number is 5*30 = 150

The graphs below have the same shape. The equation of the blue graph is f(x) = 2x. Which of these is the equation of the red graph, g(x)?

Answers

The main thing you want to ask yourself is "What is the difference between the two graphs?"

As we can see, the graphs look identical in every way except that g(x) is lower than f(x).

This means that the graph is shifted down a certain amount.

If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.

This means that f(x) is two units lower than g(x).

The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).

Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).

Therefore, g(x) = 2^{x} - 2.

Final answer:

The functions f(x)=x² and g(s)=s² are essentially the same function with different variable notations. The f(x)=2x graph is linear, and the red graph g(x) with the same shape would also be linear, involving a transformation that retains the proportional relationship between x and y.

Explanation:

Based on the provided information, the equation of f(x) is given as f(x) = x². If the blue graph represents this function, and we are looking for the red graph equation g(x), which has the same shape, we need to understand the transformation involved.

Regarding the equations provided in the examples, functions f and g are both defined as taking an input, squaring it, and outputting the result. Although they use different variable names (x for f and s for g), they are effectively the same function. When you have a transformation such as f(x-2), the graph of the function shifts to the right without changing its shape. Similarly, if the red graph were g(x) = 2x, the transformation applied would be to double the output, stretching the graph vertically relative to f(x).

Since the blue graph equation is given as f(x) = 2x and the red graph has the same shape, it means the red graph, g(x), also has a linear relation with a proportional transformation applied. Common linear transformations include multiplying by a scalar to scale the graph or adding/subtracting a number to shift the graph along the x-axis or y-axis.

Use the data from the following chart to answer the question below.

it was 1.0 that was water this is what i have g/cm3

According to the chart, one milliliter of water would have a density of _____.

100 g/cm 3
10 g/cm 3
1 g/cm 3
cannot be determined

Answers

The answer to this question would be: 1 g/cm 3
The density of water should be 1g/cm3. If you want to know how much it is in a milliliter, then you need to convert the cm3 into the milliliters. But the question is about density. The density of water will not be changed if its volume became less. The volume only used to determine the water weight. In this case, 1 milliliter of water will weight: 1ml * 1g/cm3 * 1cm3/ml= 1 gram

Answer:

1 g/cm 3

Step-by-step explanation:

How do I solve a liner equation in the form a(x-b)=cx? I have no idea plz help

Answers

Distribute on the left
3x-15=7x

Subtract 3x from both sides
-15= 4x

Divide both sides by 4
-15/4= x

Final answer: x=-15/4 or -3.75

Jenny has been saving quarters in a piggy bank since she was born. She currently has 192 quarters in her piggy bank. She wants to save $75 to buy a new Ipod, so she decides to add 2 quarters every day. She sets up and solves the equation shown. What does her solution mean?

y = 192(.25) + .25x
75 = 192(.25) + .25x
27 = .25x
x = 108

Question 1 options:

She needs to save an additional $108.

She needs to save 216 more quarters.

She needs to save for 108 more days.

She needs to save an additional 108 quarters.

Answers

She needs to save an additional 108 quarters.

If the composite functions f(g(x)) and g(f(x)) equal x then the function g is the __________ function of ff.

Answers

If the composite functions f(g(x)) and g(f(x)) equal x then the function g is the __________ function of ff.

inverse

Joe earns $10 per hour babysitting and $5 per hour dog walking. He also earns tips for each job. Last week Joe spent 6 more hours walking dogs than babysitting. He received $5 in tips for babysitting and $10 in tips for dog-walking. Joe earns the same total amount for each job. Write an equation to represent the situation. Use the variable H to represent the number of hours Joe spent babysitting.

Answers

10h + 5 = 5(h+6)+10

10h + 5 = 5h + 30 +10
10h-5h = 30 +10 -5
5h = 35
h=7

Answer:

Step-by-step explanation:

Twice a number is added to the number and the answer is 90. find the number

Answers

let the first number be x
so the pther number becomes 2x

According to question
x+ 2x = 90
3x = 90
x = 30

so, the first number = 30
and the other one is 2x = 2 (30) = 60.

Math Quiz Question! Measuring segments and Angles

In the diagram, m < ACB = 65
m < BCD =

Answers

I think it's 115

180-65= 115=<BCD

50 POINTS! PLEASE HELP!
Which of the binomials below is a factor of this trinomial? x2 - 3x - 4
A. x2 + 4
B. x + 4
C. x - 4
D. x + 8

Answers

x² -3x - 4
x -4
x 1

(x-4) (x + 1)

your answer is C.x - 4

hope this helps

Answer:

c) x - 4

Step-by-step explanation:

To do a factorization of this kind of trinomial there is a technique very easy to do it.

First, you need to see the numbers that are along with the x and the independent number.

In this case -3 and -4 (I will call them b and c)

Next, you need to think in two numbers that can acomplish the following:

x * y = c

x + y = b

So, first, think, which are two numbers that you can multiply between them to give as a result -4?.

In this case it would be -4 and 1 (-4*1 = -4)

These numbers if you do a sum you'll get -3:

-4 + 1 = -3

So the factorization becomes this:

(x - 4) (x - 1)

So, one of the factors is x - 4. Option c

If |x| = 6 then x = -6 or

Answers

The integers 6 and -6 both have the absolute value of 6.
Remember that absolute value is the distance from the number and 0 on a number line.

Final answer: x=-6 or x=6

When functions are defined by more than one equation, they are called?

Answers

When functions are defined by more then one equation, they are called piecewise defined functions

When functions are defined by more than one equation, they are called Piecewise defined functions.

What is Piecewise- defined function?

A Piecewise defined function is one which is defined not by a single equation, but by two or more.

Hence,

When functions are defined by more than one equation, they are called Piecewise defined functions.

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If two lines are perpendicular describe the relationship between their slopes

Answers

perpendicular lines have slopes that are negative reciprocals. example: line a has a slope of 2/3, line b has a slope if -3/2 if they are perpendicular.

25. What is (2.5 X 102)(6.3 X 105) in scientific notation? Show all your work below
a. 1.575 X 107
b. 1.575 X 106
c. 1.575 X 1010
d. 1.575 X 108

Answers

The correct answer is: [A]: " 15.75 * 10⁷ " .
___________________________________________________
The problem is:
___________________________________________________
"What is: "(2.5 * 10²) (6.3 * 10⁵)" (in scientific notation)?
___________________________________________________
(2.5 * 10²) (6.3 * 10⁵) =

2.5 * 10² * 6.3 * 10⁵ =

2.5 * 6.3 * 10² * 10⁵

= 2.5 * 6.3 * 10⁽² ⁺ ⁵) =

= 2.5 * 6.3 * 10⁷ ;
______________________________________________________
Note the following property of exponents:
______________________________________________________
xᵃ * xᵇ = x ⁽ᵃ ⁺ ᵇ⁾ ;
______________________________________________________
Thus: 10² * 10⁵ = 10⁽² ⁺ ⁵) = 10⁷ ;
______________________________________________________
So; we have:
______________________________________________________
2.5 * 6.3 * 10⁷ ;

→ 2.5 * 6.3 * 10⁷ = (2.5 * 6.3) * 10⁷ = 15.75 * 10⁷ .
______________________________________________________
The answer is: [A]: " 15.75 * 10⁷ " .
______________________________________________________

There are between 50 and 60 eggs in a basket. When Mohammed counts by 3's, there are 2 eggs left over. When he counts by 5's there are 4 left over. How many eggs are there in the basket?

Answers

Hello There!

3 : 48, 51, 54, 57, 60
5: 50, 55, 60

Choose a number that satisfies both:

59

When divided by 3 it has a remainder of 2
When divided by 5 it has a remainder of 4.

There are 59 eggs in the basket.

Hope This Helps You!
Good Luck :)

The correct answer is:

Explanation:

The numbers between 50 and 60 that are divisible by 3 are

51, 54, 57, 60

The numbers between 50 and 60 that are divisible by 5 are

50, 55, 60

We know that when he counts by 3s, he has 2 left over; this means the number he counts to is 2 fewer than the number of eggs. This means, counting by 3s, we could have

51+2, 54+2, 57+2, or 60+2 = 53, 56, 59, 62

62 is not an option, since we know we have between 50 and 60 eggs; this gives us 53, 56 or 59.

We also know that when he counts by 5s, he has 4 left over; this means the number he counts to is 4 fewer than the number of eggs. This means, counting by 5s, we could have

50+4, 55+4, 60+4, or 54, 59, 64

64 is not an option, since we know we have between 50 and 60 eggs; this gives us 54 or 59.

The only number in both lists is 59, so this must be the answer.

Three sides of a fence and an existing wall form a rectangular enclosure. the total length of fence used for three sides is 240 ft. write the area function in terms of one variable, then find the domain of that function

Answers

Let the length of the side opposite the wall be x, and the lengths of the other 2 sides be y.

x+2y=240 ft

then

2y=240-x
y=(240-x)/2=120-x/2

The area of the rectangular enclosure is determined by the function
[tex]A(x)=x \cdot y =x \cdot (120-x/2)[/tex] (square feet)

both width and length must be >0,

so we must have:

i) x>0
ii) 120-x/2>0 (at the same time)

solving the second inequation:

120-x/2>0

120>x/2

240>x

so x must be smaller than 240, but also larger than 0.

Thus the domain is (0, 240)

Answer: Domain: (0, 240)

Subtract (enter answer is standard form)
(-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)

Which graph represents the inequality? (has picture)
2x-3y≤6

Multiply
8y^4(2y^4-3y^3+5y)

Solve for x
0=7x^2+x+5

Harold and Helen both spend 3 hours reading a novel. Helen reads 30 more pages than Harold. Helen reads at least 40 pages in 1 hour, but no more than 70 pages in 1 hour.
Which statement correctly describes the range of pages Harold reads?

Harold reads more than 90 pages, but less than 180 pages.

Harold reads at least 90 pages, but no more than 180 pages.

Harold reads more than 150 pages, but less than 240 pages.

Harold reads at least 150 pages, but no more than 240 pages.

PB&P sells peanut butter and pickle sandwiches. The Standard special sells for $2 and the Deluxe special sells for $4.50. When all related business expenses are included, the Standard special costs $0.50 to prepare and the Deluxe special costs $1.25 to prepare.
Last Monday, PB&P sold at least $200 worth of Standard and Deluxe peanut butter and pickle sandwich specials and its expenses were no more than $100. At least 30 Standard special were sold.
Let x be the number of Standard Specials sold last Monday and y be the number of Deluxe specials sold last Monday.
Which ordered pairs representing a combination of Standard specials and Deluxe specials could have been sold last Monday and make sense in the context of the situation?
Select each correct answer.

(30,68)(30,68)

(80,40.5)(80,40.5)

(60,70)(60,70)

(40,60)(40,60)

(50.5,40)

Effie is selling candles to raise money for new soccer league equipment. A small candle sells for $8 and a large candle sells for $12. The number of large candles Effie sells must be greater than or equal to 2 times the number of small candles she sells. She has at most 48 candles to sell.
The number of small candles sold is represented by x and the number of large candles sold is represented by y.
What is the maximum revenue she can make?

$448

$512

$576

$588

What is the product of 4−5i and 2+3i?
Enter your answer, in standard form, in the box.

Answers

Answer:

Part 1) [tex]-3x^4+3x^3+8x^2-2x-5[/tex]

Part 2) The graph in the attached figure

Part 3) [tex]16y^8-24y^7+40y^5[/tex]

Part 4) [tex]x1=\frac{-1+\sqrt{139}i} {14}[/tex] and [tex]x2=\frac{-1-\sqrt{139}i} {14}[/tex]

Part 5) Harold reads more than [tex]90[/tex] pages, but less than [tex]180[/tex] page

Part 6) [tex](30,68)[/tex], [tex](40,60)[/tex]

Part 7) [tex]\$576[/tex]

Part 8) [tex]23 + 2i[/tex]

Step-by-step explanation:

The complete answers in the attached figure because is too long

Part 1) Subtract (enter answer is standard form)

we have

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]

Eliminate parenthesis

[tex]-2x^4-2x^3+8x^2+2-x^4+5x^3-2x-7[/tex]

Combine like terms

[tex](-2x^4-x^4)+(-2x^3+5x^3)+8x^2-2x+(2-7)[/tex]

[tex]-3x^4+3x^3+8x^2-2x-5[/tex] ------> standard form

Part 2) Which graph represents the inequality?

we have

[tex]2x-3y\leq 6[/tex]

Rewrite the inequality ------> [tex]3y\geq2x-6[/tex]

the solution is the shaded area above the solid line

the equation of the line is equal to [tex]3y=2x-6[/tex]

the slope of the line is positive

the y-intercept of the line is the point [tex](0,-2)[/tex] ---> value of y when the value of x is equal to zero

the x-intercept of the line is the point [tex](3,0)[/tex] ---> value of x when the value of y is equal to zero

The solution in the attached figure

Part 3) Multiply

we have

[tex]8y^4(2y^4-3y^3+5y)\\=( 8y^4*2y^4)-(8y^4*3y^3)+(8y^4*5y)\\=16y^8-24y^7+40y^5[/tex]

Part 4) Solve for x

we have

[tex]0=7x^2+x+5[/tex]

we know that

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]7x^2+x+5=0[/tex]

[tex]a=7\\b=1\\c=5[/tex]

substitute in the formula

[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4(7)(5)}} {2(7)}[/tex]

[tex]x=\frac{-1(+/-)\sqrt{-139}} {14}[/tex]

remember that

[tex]i=\sqrt{-1}[/tex]

[tex]x=\frac{-1(+/-)\sqrt{139}i} {14}[/tex]

[tex]x1=\frac{-1+\sqrt{139}i} {14}[/tex]

[tex]x2=\frac{-1-\sqrt{139}i} {14}[/tex]

Part 5) Harold and Helen both spend [tex]3[/tex] hours reading a novel. Helen reads [tex]30[/tex] more pages than Harold. Helen reads at least [tex]40[/tex] pages in [tex]1[/tex] hour, but no more than [tex]70[/tex]pages in [tex]1[/tex] hour.

Which statement correctly describes the range of pages Harold reads?

Let

x------> the number of pages that Harold read

y------> the number of pages that Helen read

we know that

[tex]y=30+x[/tex] -----> equation A

[tex]y\geq 40\ pages[/tex] ------> in one hour

in three hours -------> [tex]y\geq 120\ pages[/tex] ------> inequality B

[tex]y\leq 70\ pages[/tex] ------> in one hour

in three hours ------->[tex]y\leq 210\ pages[/tex] ------> inequality C

Substitute equation A in the inequality B

[tex]x+30\geq 120\ pages[/tex] ------> [tex]x\geq 90\ pages[/tex]

Substitute equation A in the inequality C

[tex]x+30\leq 210\ pages[/tex] ------> [tex]x\leq 180\ pages[/tex]

therefore

Harold reads more than [tex]90[/tex] pages, but less than [tex]180[/tex] page

Part 6) Let

x------> the number of Standard Specials sold last Monday

y------> the number of Deluxe specials sold last Monday

we know that

[tex]2x+4y\geq 200[/tex] -----> inequality A

[tex]0.50x+1.25y\leq100[/tex] -----> inequality B

[tex]x\geq30[/tex] -----> inequality C

Remember that

If a ordered pair representing a combination of Standard specials and Deluxe specials could have been sold last Monday and make sense in the context of the situation

then

the ordered pair must satisfy all restrictions

Verify

A) [tex](30,68)[/tex]

Substitute the value of x and y in each inequality

Inequality A

[tex]2(30)+4(68)\geq 200[/tex]

[tex]332\geq 200[/tex] ------> is true

Inequality B

[tex]0.50(30)+1.25(68)\leq100[/tex]

[tex]100\leq100[/tex] -----> is true

Inequality C

[tex]30\geq30[/tex] -----> is true

The ordered pair [tex](30,68)[/tex] represent a combination of Standard specials and Deluxe specials could have been sold last Monday and make sense in the context of the situation

B) [tex](80,40.5)[/tex]

The value of [tex]y=40.5[/tex] not make sense in the context of the situation, because is not a whole number

C) [tex](60,70)[/tex]

Substitute the value of x and y in each inequality

Inequality A

[tex]2(60)+4(70)\geq 200[/tex]

[tex]400 \geq 200[/tex] ------> is true

Inequality B

[tex]0.50(60)+1.25(70)\leq100[/tex]

[tex]117.5\leq100[/tex] -----> is not true

therefore

the ordered pair [tex](60,70)[/tex] is not a solution

D) [tex](40,60)[/tex]

Substitute the value of x and y in each inequality

Inequality A

[tex]2(40)+4(60)\geq 200[/tex]

[tex]320\geq 200[/tex] ------> is true

Inequality B

[tex]0.50(40)+1.25(60)\leq100[/tex]

[tex]95\leq100[/tex] -----> is true

Inequality C

[tex]40\geq30[/tex] -----> is true

The ordered pair[tex](40,60)[/tex] represent a combination of Standard specials and Deluxe specials could have been sold last Monday and make sense in the context of the situation

E) [tex](50.5,40)[/tex]

The value of [tex]x=50.5[/tex] not make sense in the context of the situation, because is not a whole number

Harry buys a sofa set that costs $2000.00. He pays for it by installments at an interest rate of 5% per year. What is the total amount he has to pay at the end of the one year?

Answers

2000 = 100%
? = 105%

To calculate~~~~

[tex] \frac{2000}{100} [/tex] X 105

= $2100.00

Harry is required to pay an additional $100 as interest for one year on the $2000 sofa, bringing the total payment to $2100 at the end of the year.

Harry buys a sofa set at a cost of $2000 with an installment plan that includes an interest rate of 5% per annum. To calculate the total amount Harry needs to pay at the end of one year, you need to calculate the interest and then add it to the principal amount.

The interest for one year is calculated as follows:

Interest = Principal imes Rate imes Time.

Interest = $2000 imes 5% imes 1 year.

Interest = $2000 imes 0.05 imes 1.

Interest = $100.

Now, we add the interest to the principal amount to find the total amount Harry has to pay by the end of the year:

Total Amount = Principal + Interest.

Total Amount = $2000 + $100.

Total Amount = $2100.

Therefore, Harry will have to pay a total of $2100 at the end of one year.

please help me find the perimeter of this triangle please

Answers

[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) C&({{ 1}}\quad ,&{{ 9}})\quad % (c,d) B&({{ 7}}\quad ,&{{ 1}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ CB=\sqrt{(7-1)^2+(1-9)^2}\implies CB=\sqrt{6^2+(-8)^2} \\\\\\ CB=\sqrt{36+64}\implies CB=\sqrt{100}\implies CB=10[/tex]

add the sides with 8 and 6 to it, and that's the perimeter.

The elevation of Death Valley-282 feet. The Mississippi River in Illinois has an elevation of 279 feet. Which is closer to sea level?

Answers

The absolute value of a number tells us how far away from 0 that number is...

death valley : | -282 | = 282....so this is 282 spaces from 0
mississippi river : | 279 | = 279...so this is 279 spaces from 0

so the mississippi river is closer to 0 then death valley

The Mississippi River is closer to sea level.

What is the length?

It is the measure of distance between the two points called length.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The elevation of Death Valley is 282 feet.

The Mississippi River in Illinois has an elevation of 279 feet.

If the length of the elevation of Death Valley 282 is greater than the length of the Mississippi River 279.

The Mississippi River is closer to sea level.

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You are making balloon arrangements for a birthday party. there are 16 white balloons and 24 red balloons. each arrangement must be identical. what is the greatest number of arrangements you can make using every balloon?

Answers

This is basically a GCF problem. To find the GCF, we list the factors of each number.
24 = 1×24, 2×12, 4×6, 8×3 ...

16 = 1×16, 2×8, 4×4, ...

The greatest common factor is 8 because it is the greatest factor we can find.
So 8 arrangements

Tony will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.30 per mile driven. The second plan has no initial fee but costs $0.80 per mile driven. How many miles would Tony need to drive for the two plans to cost the same?

Answers

Hello.

The first car has a cost that can be calculated as a function of the miles driven:

f(m) = 60 + 0.3m

The second has a similar comportment:

s(m) = 0.8m

We want f(m) = s(m).

60 + 0.3m = 0.8m

0.8m - 0.3m = 60

0.5m = 60

m = 60 / 0.5

m = 120.

Tony would need to drive 120 miles to pay the same amount.

Sue receives a base salary of $90 weekly plus a 12% commission on all sales. sue had $3,000 in sales this week. how much did she make total?

Answers

$90+12/100x = y

Where x is sales made and y is total money made

$90 + 12/100 x 3000 = y

Y = 450

She made $450

Her gross pay was the amount of $450 for last week.

What is the commission?

The commission is determined by the product of the commission rate and the total sales.

Commission = Commission rate x Total sales

As per the question, we have data :

Commission rate = 12 %

Total sales = $3,000

The base salary = $90

We know that,

Commission = Commission rate x Total sales

= 12% x $3,000

= 0.12 x $3,000

= $360

The total pay is then the base salary increased by the commission:

Total pay = base salary + Commission

Total pay = $90+ $360

Total pay = $450

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Mick has a bag with 2 mint sticks, 11 jelly treats, and 7 fruit tart chews. If he eats one piece every 10 minutes, what is the probability his first two pieces will be a jelly treat and a mint stick?

Give your answer in a percent.

Answers

Final answer:

To find the probability, calculate the probabilities of selecting a jelly treat and a mint stick. Then multiply these probabilities together to find the overall probability.

Explanation:

To find the probability that Mick's first two pieces will be a jelly treat and a mint stick, we need to calculate the probability of selecting a jelly treat and a mint stick from the bag.

First, we need to find the total number of pieces in the bag: 2 mint sticks + 11 jelly treats + 7 fruit tart chews = 20 pieces.

The probability of selecting a jelly treat as the first piece is: 11 jelly treats / 20 total pieces = 0.55 or 55%.

After Mick has eaten one piece, there are now 19 pieces left in the bag.

The probability of selecting a mint stick as the second piece is: 2 mint sticks / 19 remaining pieces = 0.105 or 10.5%.

Therefore, the probability that Mick's first two pieces will be a jelly treat and a mint stick is 55% * 10.5% = 0.055 or 5.5%.

Is the following definition of perpendicular reversible? If yes, write it as a true biconditional. Two lines that intersect at right angles are perpendicular.

A. The statement is not reversible.

B. Yes; if two lines intersect at right angles, then they are perpendicular.

C. Yes; if two lines are perpendicular, then they intersect at right angles.

D. Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Answers

A biconditional statement is a statement in which it is inherently true but when the clauses are exchanged, the statement would still be regarded as true. In this case, the statement is biconditional. The answer that would make sense here would be C. Yes; if two lines are perpendicular, then they intersect at right angles.

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