∠3 and ∠4 are supplementary. if the measurement of ∠3 is 2x+8 and the measurement of ∠4 is 6x+12, what is the measurement of ∠4?

Answer:

104 swimmers

Step-by-step explanation:

ratio is 8:1

8 : 1

x : 13

x = 8 multiplied by 13

swimmers = 104

Based on the cost to service the lawn, and the area of the lawn, the total cost of lawn service is $55.65

The first thing to do is to find the area of the lawn:

= Length of lawn x Width of lawn

= 40 x 190

= 7,600 square feet

The cost of each lawn is $42.00 of the first 5,000 square feet and then there will be $5.25 paid for each additional square feet.

The total cost of the lawn service is:

= 42.00 + ( 5.25 x (7,600 - 5,000) / 1,000)

= 42.00 + (5.25 x 2.6)

= $55.65

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Using the long division method we get the answer for 514/28 as 18.216 as the quotient and 17344 as the remainder.

Given the expression is 514/28

Following are the steps to use the long division method.

Step 1: Find the appropriate integer to divide the supplied value by.

Step 2: To determine the amount to be removed from the payout, multiply the integer (quotient) and divisor.

The third step is to deduct the amount from the dividend.

Step 4: Subtract the remainder and any additional digits from the dividend.

28 | 514.00 00 00 |18.216

18 | 504

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

462 | 10 00

+  2 | 924

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

4641 | 7600

+    1 | 4641

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

46426 | 295900

+      6 | 278556

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                17344

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Hence we get the required answer.

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Total number of college freshmen that signed up neither math nor English is 85

Total number of college freshmen interviewed = 200

Number of college freshmen registered for a Math class = 95

Number of college freshmen registered for a  English class = 80

Number of college freshmen registered for both math and English = 60

Total number of college freshmen signed up either for math or English =  Number of college freshmen registered for a Math class + Number of college freshmen registered for a  English class - Number of college freshmen registered for both math and English

Total number of college freshmen signed up either for math or English = (95 + 80 - 60) = 115

Total number of college freshmen signed up neither math nor English = ( Total number of college freshmen interviewed - Total number of college freshmen signed up either for math or English )

Total number of college freshmen signed up neither math nor English = 200 -115 = 85

Thus, 85 college freshmen signed up neither math nor English.

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An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final value for the expression

[tex]m^{7}[/tex] ÷ m² is [tex]m^{5}[/tex]

n³ x n³ x n³ =  [tex]n^{9}[/tex]

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]m^{7}[/tex] ÷ m²

= [tex]m^{7}[/tex] / m²

= [tex]m^{7-2}[/tex]

= [tex]m^{5}[/tex]

n³ x n³ x n³

= [tex]n^{3+3+3}[/tex]

= [tex]n^{9}[/tex]

Thus,

The final value for the expression

[tex]m^{7}[/tex] ÷ m² is [tex]m^{5}[/tex]

n³ x n³ x n³ =  [tex]n^{9}[/tex]

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The ordered pairs A. (−6, −14) and B. (−1, −7) in the form (x, y) are solutions to the equation 7x-5x=28.

A pair is considered to be ordered when two elements are written inside parantheses and are separated by a comma. The ordered pair (x, y), for instance, is represented by the notation (x, y), where 'x' is referred to as the first element and 'y' as the second element.

Depending on the context in which they are used, these elements—which can either be variables or constants—have different names. In a pair of elements that are ordered, the elements' order is somewhat significant. This indicates that (x, y) might not always be equal to (y, x).

We have given the equation 7x – 5y = 28

we know that a ordered pair (x,y)  must satisfy the equation

So let us do trial and error method

A. (−6, −14)

7(-6) – 5(-14) = 28

-42 + 70 = 28

28 = 28

ordered pair (−6, −14) in the form (x, y) satisfy for 7x – 5y = 28

B. (−1, −7)

7(-1) – 5(-7) = 28

-7 + 35 = 28

28 = 28

ordered pair (−1, −7) in the form (x, y) satisfy for 7x – 5y = 28

C. (4, 10)

7(4) – 5(10) = 28

28 - 50= 28

22 ≠ 28

ordered pair (4, 10) in the form (x, y) doesn't satisfy for 7x – 5y = 28

D. (7, 9)

7(7) – 5(9) = 28

49 - 45= 28

4 ≠ 28

ordered pair (7, 9) in the form (x, y) doesn't satisfy for 7x – 5y = 28

Thus, the ordered pairs A. (−6, −14) and B. (−1, −7) in the form (x, y) are solutions to the equation 7x-5x=28.

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Full question

Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?

Choose all answers that are correct.

A. (−6, −14)

B. (−1, −7)

C. (4, 10)

D. (7, 9)

Answer:

[tex]f(x) = {x}^{4} - 16[/tex]

Step-by-step explanation:

[tex]f(x) = (x + 2i)(x - 2i)(x - 2)(x + 2)[/tex]

[tex]f(x) = ( {x}^{2} + 4)( {x}^{2} - 4) [/tex]

[tex]f(x) = {x}^{4} - 16[/tex]

The equation of line in point-slope form is; 7y = x + 31.

For the given question;

The points are given as;

(x₁, y₁) = (4, 5)

(x₂, y₂) = (-3, 4)

The slope of the equation of the line is found as;

slope = m = (y₂ - y₁)/(x₂ - x₁)

Put the values;

m = (4 - 5)/(-3 - 4)

m = (-1)/(-7)

m = 1/7

Thus, the point slope form will be;

y - y₁ = m(x - x₁)

y - 5 = (1/7)(x - 4)

Simplifying;

7y - 35 = x - 4

7y = x + 31

Thus, the equation of line in point slope form is; 7y = x + 31.

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Answer:

9 and 10

Step-by-step explanation:

39/4 equals 9.75, meaning it is in between 9 and 10

The rule of the function g (x) will be;

⇒ g (x) = - x + 3

What is mean by Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

g (x) is the indicated transformation of f (x).

The rule of f (x) is,

f (x) = - x + 5 ; horizontally translation 2 units left.

Now,

The rule of f (x) is,

f (x) = - x + 5 ; horizontally translation 2 units left.

Since, g (x) is the indicated transformation of f (x).

So, g (x) = f (x + 2)

Hence, We get;

g (x) = - (x + 2) + 5

      = - x - 2 + 5

      = - x + 3

Thus, The rule of the function g (x) will be;

⇒ g (x) = - x + 3

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Answer:

x ≥ -14

Step-by-step explanation:

Hello!

The equation is 18.1(2x + 3) ≥ -452.5

The inequality is true for all values of x greater than or equal to -14.

Answer:

180-21= 159

Step-by-step explanation:

supplementary angles means their sum equals 180

Answer:

Step-by-step explanation:

Let the first number be x and y be the second.

Then we habe:

I) x - 4 = 2y

II) x*y = 30

We can rewrite equation I as:

x = 2y + 4

Applying this result on equation II, we have:

(2y + 4)*y = 30

2y² + 4y = 30

2y² + 4y - 30 = 0

y² + 2y - 15 = 0

The second root is negative and don't satisfy equations I and II, then we can discard it.

Replacing y with 5 in equation I, we have:

x - 4 = 2*5

x = 2*5 + 4

x = 14

Answer: 1 because 3 take away 2 you have 1 lol

Step-by-step explanation:

Answer:1

Step-by-step explanation:

You simply subtract 3-2=1

Hopes this helps

Answer:

60 Sq in

Step-by-step explanation:

14×6= 84

4×6=24

84-24= 60

The expression can be written as

What is an expression?

An expression, often referred as a mathematical model, is a continuous collection of signs that are well-formed in accordance with context-dependent principles. Numbers (predictor variables), parameters, processes, functions, brackets, capitalization, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of actions and other features. In algebra, a value might well be designated by an expression; this value may rely on the values given to the variables that the expression contains. The semantics associated with the symbols in the expression determine this value. The expression's development gains which meaning to use. It is unclear if two λ expressions are equivalent. The idioms used to represent hard figures are the same way.

The expression is

7/9Z-6/9Z-4+5/9Z-7

= (7-6-36Z+5-63Z)/9Z

= (6-99Z)/9Z

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You will make an amount  of $58868 in four years

The given parameters are

Salary, a = $52,000

Raise, r = 3.15%

Number of years, n = 4

The above parameters is an illustration of an exponential function

An exponential function is represented as

A(n) = a * (1 +r)^n

Where a, r and n represents the parameters stated above

So, we have

A(4) = 52000 * (1 +3.15%)^4

Evaluate the sum

A(4) = 52000 * 1.0315^4

Evaluate the products

A(4) = 58868

Hence, the amount in four years is $58868

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The height of building ramp is h = 2 foot.

The base of the building ramp is b = 4 foot.

The code for new bulding is,

Let the new base be x for new building code and height remain same h = 2.

So Carrie increase the base from 4 foot to 8 foot.

Detemine the adjustment in base.

Thus Carrie increase the base by 4 foot to meet the new code for the building.

Answer:

x = 7

Step-by-step explanation:

since 2 sides are congruent, then the triangle is isosceles with base angles being congruent , both (9x - 25)

the sum of the 3 angles in the triangle = 180° , that is

9x - 25 + 9x - 25 + 104 = 180

18x + 54 = 180 ( subtract 54 from both sides )

18x = 126 ( divide both sides by 18 )

x = 7

Function B equation is

The y-intercept is when x=0, in our case

Function A

y-intercept =3

Function B

y-intercept=-5

As we can see

The y-intercept of Function A is greater than the y-intercept of Function B.

Answer:

4×10^5

Step-by-step explanation:

Divide (8×10^20) by (2×10^15). Then express the answer you obtain in standard form.

Step-by-step explanation:

Brett bought three pairs of jeans and five polo shirts. The jeans that regularly sell for $79 were 35% off and the polo shirts that regularly sell for $39 were 15% off. If sales tax is 5.75% and he gave the cashier $350, how much did he receive back in change?​

3 pairs jeans at regular price costs: 79 * 3 = 237

35% off so paying 65% of full price:

237 * 0.65 = discounted price of 154.05

5 polo shirts at regular price costs: 39 * 5 = 195

15% off so paying 85% of full price:

195 * 0.85 = discounted price of 165.75

cost of jeans and polo shirts at discounted prices: 154.05 + 165.75 = 319.8

Pay an additional 5.75% sales tax. So Brett is paying 1.0575 of the cost:

1.0575 * 319.8 = 338.1885. Rounded, it cost Brett $338.19 for his jeans and polo shirts.

Brett gave $350:

350 - 338.19 = $11.81 change received

Charles spent 60 hours picking up litter if each student spent the same amount of time.

According to the question,

We have the following details:

Charles and 7 other students spent a total of 480 hours picking up litter last year.

So, the total number of students including Charles are 8.

8 persons = 480 hours

So, we have to find time spent in hours for 1 person:

1 person = 480/8 hours

1 person = 60 hours

So, this one person can be any eight of them including Charles.

Hence, Charles spent 60 hours picking up litter last year with other 7 students.

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Answer:

Step-by-step explanation:

Base of the Prism = 5 cm

Height of the Prism = 4 cm

Length of the Prism = 6 cm

The volume of a triangular prism = 1/2 x base x height x length

⇒ Volume = 1/2 x 5 x 4 x 6

⇒ Volume = 60 cm^3

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Answer:

The "n" side

The "n" side is opposite of angle N