(20 - [6 x (1 + 2)]} x 7

Tristan's forecast for income next year is $3,876.

The forecast income can be determined using the mathematical operation of multiplication.

First, the total number of hours worked next year is determined as 204.  This is a product of 17 weeks and a 12-hour week.

Lastly, the above product multiplies the hourly pay rate at $9.50 by two semesters, to determine the expected income for next year.

The average hours of work by Tristan per week = 12 hours

Hourly pay rate = $9.50

The total number of weeks to work = 17 weeks

The total number of hours to be worked = 204 hours (17 x 12)

Expected earnings for each semester = $1,938 ($9.50 x 204)

Expected earnings for two semester = $3,876 ($1,938 x 2)

Thus, Tristan should expect to earn $3,876 for next year.

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The height of the window is 9-x feet, the perimeter of the window is 36-2x.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.

Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The principles of algebra taught us how to express an unknown value using letters like x, y, and z. Here, we refer to these letters as variables.

Given that,

A window is 9 feet long.

Its length exceeds its height by x feet.

The length of the window = 9 feet

Then, the height of the window,

x feet shorter than the length= 9-x feet

As a result, the window is 9-x feet tall.

The perimeter of the window is 2 (l+b)

2 (9+9-x),

2 (18-x),

36 - 2x.

Therefore, the perimeter of the window is 36-2x.

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Answer:

So, gear ratio will be \frac{45}{18}= \frac{5}{2}=2.5

18

45

=

2

5

=2.5

Hence, the ratio is 2.5 :1.

System of equations required to determine number of games and rides are x + y=12,  2.50x + 3.75y=36.25 where x represents number of games and y number of rides.

As given,

Let x represents the number of games

and y represents the number of rides

System of equation are:

x+ y=12                        ___(1)

2.50x+3.75y=36.25    ___(2)

Multiply 2.50 to (1) subtract from (2) we get,

1.25y=6.25

⇒y=5

Hence, x=12-5

               =7

Therefore, system of equations required to determine number of games and rides are x + y=12,  2.50x + 3.75y=36.25 where x represents number of games and y number of rides.

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Based on the information provided, we have:

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

Given the following functions:

f(x) = 5x

g(x) = x - 3.

Next, we would determine the value of composite function f(g(x)) as follows:

f(g(x)) = f(x - 3)

f(g(x)) = 5(x - 3)

f(g(x)) = 5x - 15.

Also, we would determine the value of composite function g(f(x)) as follows:

g(f(x)) = g(5x)

g(f(x)) = (5x) - 3

g(f(x)) = 5x - 3.

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[tex] \bf \implies{f( - 4) \: = \: g( - 4) \: and \: f(0) = g(0)}[/tex]

We can observe from the given graph that the two functions intersect each other at (0,4) and (-4,4)

→ g(0) = f(0)

and g(-4) = f(-4)

The amount of fuel left after t hours will be y = 10 - 2t. Then the amount of fuel left after 2 hours will be 6 gallons.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Anand is traveling by car a long distance. He has 10 gallons of gas in his automobile right now. His automobile burns through 2 gallons of gas per hour while he is on the road.

Then the equation will be

y = 10 - 2t

Where t is the number of hours and y represents the fuel left in the tank.

The amount of fuel left after 2 hours will be

y = 10 - 2 x 2

y = 10 - 4

y = 6 gallon

The amount of fuel left after 2 hours will be 6 gallons.

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Answer:

1/16

Step-by-step explanation:

you have a 1/2 chance to get the answer right. Each time you add a new answer, you multiply the current chance by the chance of getting the new answer correct. So, the chance of getting 4 answers correct is 1/2^4, or 1/16

Answer:     a=8

Step-by-step explanation:

[tex]{\huge\color{green}{\boxed{\fcolorbox{red}{yellow}{꧁ANSWER꧂}}}} \\ \\ 21a + 32 = 25a \\ \\ - 4a = - 32 \\ \\ 4a = 32 \\ \\ a = \frac{32}{4} = 8[/tex]

The scale rectangular of the pool must be 3 x 8 inches.

According to the question,

Given that,

a rectangular pool yard is 150 ft. × 400 ft,

create a scale drawing with a scale factor of 1 to 600, the following calculation must be followed :

[tex]\frac{150}{600} = \frac{1}{4} = 0.25[/tex]

[tex]\frac{400}{600} = \frac{2}{3} = 0.6667[/tex]

1 foot = 12 inches

12 x 0.25 = 3

12 x 0.666 = 8

Then, the scale drawing of the pool must be 3 x 8 inches.

we understand better with the help of some example

“If you are going to build a model, you have to use a scale. You shrink down the real dimensions so that you can actually build a model that everyone will be able to see, think about it, Everest is 29,035 feet high, you can’t build that using the real dimensions,

First, let’s think about our unit scale.

1 inch = 3 feet

If we have a building 24 feet long, that is the actual dimensions. We need to represent the dimensions using our unit scale.

We can say that 8 inches = 24 feet. This is our answer.

First, let’s make a note of the unit scale.

1 inch = 8 feet

We have been given the scale dimension and not the actual dimension. We are going to need to solve for the actual dimension. Let’s write a proportion to do this.

scale dimension actual dimension=1 in8 ft=5 inches

We can see that one times five is equal to five. We can do this to the actual dimension as well. Eight times five is equal to forty.

The actual length of the building is 40 feet.

Popular for ships, especially liners and capital ships. This is the traditional scale for comparative drawings of ships, used by the Royal Navy as it is about one-tenth of a nautical mile to the foot. Warship models produced by  produces airliner models in this scale.

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Assuming an hypergeometric distribution, the probability that both are red is equal to 33.99%

In an hypergeometric distribution, these three (3) conditions listed below must hold:

In Mathematics, probability from an hypergeometric distribution can be calculated by using this formula:

[tex]p(X = x) = \frac{^MC_x \;^{N-M}C_{n-x}}{^NC_n}[/tex]

N = 12 + 31 = 43

n = 2

M = 12

N - M = 43 - 12 = 31

Substituting the parameters into the formula, we have;

P (X = 2) = (¹²C₂ × ³¹C₂)/⁴³C₂

P (X = 2) = 30,690/903

P (X = 2) = 33.99%

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Answer: 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.63 meters = 163 centimeters. Formula

The constant of proportionality is 190.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.

To find proportionality constant we will find difference of weights of the baby whale after 2 days and at birth.

5710 - 5520 = 190

Now we will find difference of weights of the whale after 14 days and at birth.

We will divide the difference by 14.

(8180-5520) ÷ 14 = 190

Weights are rising at a consistent rate of 190 pounds every day, as can be seen. As a result, 190 is our proportionality constant.

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The total cost, in dollars, before taxes Addition

Given that

To find

So, according to the question

we have,

A store has a buy-one-get-one-half-off sale on laundry detergent, When we buy 1 bottle then we will get half of bottle free and we are buying 2 bottles so we just have to pay the price of one and half bottles only.

So, we can say that

   Total cost of 2 bottle laundry detergent = regular price of 1 bottle laundry detergent + regular price of [tex]\frac{1}{2}[/tex] bottle laundry detergent

       = 2.60 + [tex]\frac{1}{2}[/tex]× 2.60

       = 2.60 + 1.30

       = $3.90

Answer:

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Answer:

C

Step-by-step explanation:

[tex]-(6^{-5})(6^3) \\ \\ =-6^{-5+3} \\ \\ =-6^{-2} \\ \\ =-\frac{1}{6^2} \\ \\ =\frac{1}{36}[/tex]

Answer:

301

Step-by-step explanation:

Answer: The slope is $70

Step-by-step explanation: Slope is rate of change, so define your values.

-$100 is the initial fee

-$70 is charged per month

per month is the constant rate of change

70 is the slope

hope this helps

Ball will be at 10 feet above the ground for 2.14 or 0.29 seconds .

We have given a formula h = 39t - 16t² .     ....(2)

Putting h = 10 in equation (2) , we get

        [tex]10=39t-16t^2\\16t^2-39t+10=0[/tex]

Using quadratic formula in equation (1) , we get

 a = 16 , b = -39 , c = 10

     [tex]t=\frac{-(-39) \pm\sqrt{(-39)^2-4(16)(10) }}{2(16)} \\\\t=\frac{39 \pm\sqrt{1521-640 }}{32} \\\\t=\frac{39 \pm\sqrt{881 }}{32} \\\\t=\frac{39 \pm29.68}{32} \\[/tex]

t will have 2 values

[tex]t=\frac{39+29.68}{32} =2.14s[/tex]

and [tex]t=\frac{39-29.68}{32} =0.29s[/tex]

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Each given statement can be written as a conditional statement as follows:

19. If I go swimming, then my skin will get wet.

20. If a number is divisible by 6, then it is divisible by 3.

21. If it is a Tuesday, then the tickets are half-priced.

The phrase "if...then" is used to denote a conditional statement. If p and q are the two statements, then p and q can be written under several conditions, such as;

Given the statements:

p: My skin will get wet

q: if I go swimming

Here, q is necessary for p.

Hence, the condition statement is "If I go swimming, then my skin will get wet."

p: a number is divisible by 6

q: a number is divisible by 3

Here, p implies q.

Hence, the condition statement is "If a number is divisible by 6, then it is divisible by 3."

p: movie tickets are half-price

q: it is a Tuesday

Here, q is necessary for p.

Hence, the conditional statement is "If it is a Tuesday, then the tickets are half-priced."

Therefore, each given statement can be written as a conditional statement as follows:

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He wants to be within 5 homeruns of hitting 30 for the year, therefore he needs 25 home runs.

From the information, it was stated that John wants to hit homeruns for his baseball team and that he wants to be within 5 homeruns of hitting 30 for the year.

Let the number of home runs be represented by x.

Therefore, x + 5 = 30

x = 30 - 5

x = 25

Therefore, since he wants to be within 5 homeruns of hitting 30 for the year, he needs 25 home runs.

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Given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.

The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%

In this question, we have been given a statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.'

We need to check whether given statement is true or false.

The bank raised its interest rate on savings accounts from 2% to 2.8%

We find the percent increase.

Here the absolute increase is: |2.8 - 2| = 0.8

The relative increase is: absolute increase / original value

= 0.8 / 2

= 0.4

The percent increase is: relative increase × 100

= 0.4 × 100

= 40%

Therefore, given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.

The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%

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Answer:

A) B 20.5 -A s-2.5=-3 is (0.5x)-(-2.5x) = -3x

B) A and B = 2 skydiver's distance each from x = -2.5 and 0.5 inequality shows us when x = 0 then A < -2.5 The second inequality shows us when x = 0 then B2 0.5 here on number line we an keep closed circles and shaded lines in opposite direction each from O showing domain is x domain = -2.5 to O and x domain= 0 to 5 (using commas instead of to) The actual expression then goes B≥0.5-A≤ -2.5=-3 so we an just use (0.5x)-(-2.5x)=-3x

Answer:

Step-by-step explanation:

2 is 0.00007

3 is 0.000875

1 i cant answer because it hurts my dyslexia

[tex] \large \bf \implies{} |10.5 - ( - 6.1)| [/tex]

The total temperature change

= high temperature - low temperature

= |10.5 - (-6.1)|

{By subtraction.}

Answer:

ok

Step-by-step explanation:

domain = (3,3)

range= (1,1)

funtion=discrete?

Division is a simple operation in which a number is divided.  1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5​​​​=1.168.

Division is a simple operation in which a number is divided.

Division lets us separate a number of objects into equal-size groups.

Division has 3 important parts dividend, divisor, remainder and quotient.

1.168 ÷ 8= 0.146

(Because 0.146*8=1.168)

2.246÷12= 0.1871

(Because 12*0.1871=2.246)

3.4328÷4=0.8582

(Because 4*0.8582=3.4328)

4.729÷9=0.5254

(Because 9*0.5254=4.729)

5.8415÷5​​​​=1.168.

(Because 5*1.168=5.8415)

Therefore 1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5​​​​=1.168.

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Answer:

Hope This Helps

Step-by-step explanation:

S=450 + 30W

Plugging 14 into W, we get:  S= 450 +30(14)= $870.