A client named Tommy wants us to prepare a 3300-word Marketing Report + Poster. If a task is quantifiable by word count, we charge $110 per 1000 words. If a task is not quantifiable by word count, we estimate how many hours are required to complete the task and we charge based on $5 per hour. How much should we charge Tommy? Work out the total price.​

Answer:

5 children

Adults: x

Children: y

Cost for adults: 3x

Cost for children: 2y

Total cost: 3x + 2y = 31

Total people: x + y = 12

x = 12 - y

Substitute:

3 (12 - y) + 2y = 31

36 - 3y + 2y = 31

36 - y = 31

y = 5

Total Children: 5

Answer:

A

Step-by-step explanation:

The sum of the following figures = 800

To round up each decimal to the nearest hundred,

428.1 = 400

186.5 = 200

210.62 = 200

Note:

Therefore, the sum of  400 + 200 + 200 = 800

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By the method of logical reasoning and the seating positions of seven people it is obtained that F sits third to the left of C.

What is logical reasoning?

The technique of applying systematic, logical steps based on mathematical logic to solve a problem is known as logical reasoning. Based on the information provided and mathematical principles, inferences can be drawn.

This seating positing problem can be solved by logical reasoning.

There are seven people - A, B, C, D, E, F, G.

Firstly, A sits third from one of the extreme ends.

Then two people sit between A and B.

The positions can be -

__ __ A __ __ B __ or __ B __ __ A __ __

Now, F sits fourth to the left of B.

So, second seating position gets eliminated.

Also, C sits at the immediate left of B.

__ F A __ C B __

Now, G sits third to the right of E.

E does not sit at any of the extreme ends.

D F A E C B G

So, the seating arrangement is obtained.

Therefore, F sits third to the left of C.

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Seven people named A, B, C, D, E, F, and G are sitting in a row facing north but not necessarily in the same order. A sits third from one of the extreme ends. Two people sit between A and B. C sits at the immediate left of B. F sits fourth to the left of B. G sits third to the right of E. E does not sit any of the extreme ends.

What is the position of F with respect to C?

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Answer:

(2,-1)

Step-by-step explanation:

We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:

4(2y + 4) + 2y = 6

Simplifying the left side:

8y + 16 + 2y = 6

Combining like terms:

10y + 16 = 6

Subtracting 16 from both sides:

10y = -10

Dividing both sides by 10:

y = -1

Now that we know y, we can use the second equation to find x:

x = 2y + 4

x = 2(-1) + 4

x = 2

Therefore, the solution to the system of equations is (x, y) = (2, -1).

The correct answer choice is (2, -1).

Answer:

1. -2y

2.13x

3. 8d-3c

4. 8r+(-6s)

Step-by-step explanation:

earns 2 points for each correct answer

loses 0.5 points for each incorrect answer

13 correct answers

2 incorrect answers

13 (2)-2(0.5) = 26-1 = 25

Score = 25 points

Since the coordinates of the translated triangle are (3,5), (5, 6), and (2, 9), the translation vector is (x, y)   → (x + 2, y + 1).

In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of this triangle vertically upward by 1 unit and horizontally right by 2 units, the coordinates of the image include the following:

(x, y)                               →                  (x + 2, y + 1)

(1, 4)                        →                  (1 + 2, 4 + 1) = (3, 5).

(3, 5)                        →                  (3 + 2, 5 + 1) = (5, 6).

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Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.

Given,

The area of the regular octagon is 49 square metre.

The area of the another regular octagon is 100 square metre.

Here, the scaling factor of the regualar octagon is 7:10

Hence, the scaling factor is 7:10.

Answer:

I assume you mean 10 to the power of 7, the answer is 53010000

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Answer:

Step-by-step explanation:

You can do 10 for both of the smaller sides and 20 for both of the longer sides. 10x2= 20    20x2=40              40+20= 60

There is your answer!

The 58 m/s initial velocity of the arrow with height, y = 58•t - 0.83•t², gives;

(1) 55.925 m/s

(2) 56.257 m/s

(3) 56.3317 m/s

(4) 56.33917 m/s

(b) 56.34 m/s

Initial velocity of the arrow = 58 m/s

Height of the arrow is; y = 58•t - 0.83•t²

The above kinematic equation can be analyzed as follows;

(1) The height at t = 1 is found as follows;

y = 58 × 1 - 0.83 × 1² = 57.17

Height at t = 1.5 s. is y = 58×1.5 - 0.83×1.5² = 85.1325

Which gives;

Average velocity = (85.1325-57.17)/(1.5-1) = 55.925

The average velocity in the interval [1, 1.5] is therefore;

(2) [1, 1.1]

Height at t = 1.1 s. is y = 58×1.1 - 0.83×1.1² = 62.7957

Which gives;

Average velocity = (62.7957-57.17)/(1.1-1) = 56.257

(3) [1, 1.01]

Height at t = 1.01 s. is y = 58×1.01 - 0.83×1.01² = 57.733317

Which gives;

Average velocity = (57.733317-57.17)/(1.01-1) = 56.3317

The average velocity is 56.33 m/s

(4) [1, 1.001]

Height at t = 1.01 s. is y = 58×1.001 - 0.83×1.001² = 57.22633917

Which gives;

Average velocity = (57.22633917-57.17)/(1.001-1) = 56.33917

(b) The equation for the instantaneous velocity is found as follows;

v = dy/dt = 58 - 2×0.83•t

After 1 second, we have;

t = 1

v = 58 - 2×0.83 × 1 = 56.34

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Answer: 0.0002 I think sorry if im wrong

Step-by-step explanation:

Answer:

Step 3

Step-by-step explanation:

The 28 just disappeared -->

Step 2

3 x + 28 = 15

Step 3

3 x = 15

Answer:

Step 3

Step-by-step explanation:

they didn't do anything beside remove the three from the equation

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =11

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-4

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-6

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-12

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-1217. (-48) ➗ (-6)=8

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-1217. (-48) ➗ (-6)=818. (-105) ➗ 7=-15

first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-1217. (-48) ➗ (-6)=818. (-105) ➗ 7=-15hope it helps you...........

Answer:  B:  3x + 4 = 3(x - 5)   (has no solution)

Step-by-step explanation:  (these have solutions)

C:        X+ 6 = 6x = 6/5

A:      x + 3 = 5(x+3) = −3

D:        5x + 2 = 4x - 3  =   −5

Answer:

ŷ = 0.52X + 3.99 ;

0.26 ;

0.5123

Step-by-step explanation:

4th of July :

8.0

6.0

12.0

10.5

8.5

12.5

9.0

5.5

12.0

7.5

9.0

10.6

10.0

7.5

10.0

Fall festival :

6.8

6.4

11.6

10.2

6.0

11.1

7.5

8.4

9.5

10.4

6.6

10.1

6.1

9.0

12.6

Using technology, the regression equation which predicts fall festival attendance with amount spent on 4th of July fireworks is ;

ŷ = 0.52X + 3.99

Coefficient of determination ; R² is 0.26

This means that about 26% of variation in the fall festival attendance is explained by the regression line.

The regression Coefficient, R = sqrt(R²) = sqrt(0.2625) = 0.5123

This depicts that a faiy strong positive correlation exists between the amount spent on 4th July fireworks and the fall festival attendance.

Answer:

10m+10

Step-by-step explanation:

5x2=10

5x2m=10m

10m+10

The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).

To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.

The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.

First, let's simplify the expression inside the arcctg function, which is tg(x):

tg(x) = sin(x) / cos(x)

Now, we can substitute this value into the original expression:

arcctg(tg(x)) = arcctg(sin(x) / cos(x))

Using the property of inverse trigonometric functions, we can rewrite this as:

arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))

Now, we can simplify further using the identity:

1 / tan(x) = cot(x)

Therefore:

arcctg(1 / tan(x)) = arcctg(cot(x))

Using another identity, we know that the cotangent function is the reciprocal of the tangent function:

cot(x) = 1 / tan(x)

Therefore, we can simplify the expression to:

arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))

Finally, we arrive at the simplified expression:

arcctg(tg(x)) = arcctg(tan(x))

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Step-by-step explanation:

1/16 for Washington County.

5/76 for Webster County.

so, let's bring both to the same denominator (bottom part of the fractions).

this is usual the LCM of both denominators.

since 16 = 2×2×2×2

76 = 2×2×19

the least common multiple (LCM) is the combination of the longest sequence per prime factor involved :

2×2×2×2×19 = 16×19 = 304

1/16 = 19/304

5/76 = 5× 1/76 = 5× 4/304 = 20/304

so, now we know, 20/304 > 19/304, and therefore Webster County has the greater fraction of adults, who enjoy gardening.

The number 67 and 113 are not the multiples of 3,6 and 7.

Multiples are the results of multiplying one whole number from another whole number.

Now, for the given question;

As, 67 and 113 are not completely divisible by 3. They are not multiple of 3.

67 and 113 are not entirely divisible by 6. So, they are also not the multiple of 6.

Now, 67 and 113 are also not entirely divisible by 7. Thus, they are also not the multiple of 7.

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If 75% of Brannan's class attended her twelfth birthday party, we can find the number of students who came to the party by multiplying the total number of students in the class by the percentage that attended.

First, we need to convert 75% to a decimal by dividing by 100:

75% = 75/100 = 0.75

Next, we can multiply the total number of students in the class by the decimal that represents the percentage who attended:

Number of students who came to the party = 0.75 * 24

Number of students who came to the party = 18

Therefore, 18 students came to Brannan's twelfth birthday party.

Answer:

D is not the correct sentence

Step-by-step explanation:

1/4 is closer to 1 than 1/9 is.