Wooden flooring costs £35 per square metre. The floor is then edged with a narrow wooden strip which costs £4 per metre.

How much does it cost for a 6m by 4m room, including the edging?

The constraints in the question are given by the definition of the variables;

The constraints are represented by the following equation and inequalities.

Reasons:

The budget of the principal = $225

Number of people expected = 16 people

Number of sandwich per person = 2

Cost of each sandwich = $3

Required:

To select the inequalities that represent the situation's constraint

Solution:

The variable that represent the number of people attending = n

The number of sandwiches = s

From the question , we have;

The number of sandwich per attendee = 2 sandwiches

The total number of sandwich, s, for n attendees = 2·n

Therefore, we have;

s = 2·n

The number of people attending is at least 16, therefore;

n ≥ 16

The cost of the s sandwich = $3 × s

The total cost should be less than or equal to given budget of $225,

therefore;

3s ≤ 225

The equations and inequalities that could represent the constraints are;

A. n ≥ 16, D. s = 2·n, and F. 3s ≤ 225

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Answer:

6x - 14

Step-by-step explanation:

4(2x - 3) - 2(x + 1)

1. Expand both brackets

(8x - 12) - (2x + 2)

2. Simplify

8x - 2x = 6x

-12 - 2 = -14

Therefore, 4(2x - 3) - 2(x + 1) = 6x - 14

Given :   Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%.

To Find : How much is Isaac’s total bill?  

b) 25% discount off  before tax

Solution:

one pair for $37.00

second pair for $42.00

Total Bill before taxes = 37 + 42 =  79 $

7 % Sale Tax = (7/100)79 = 5.53 $

Isaac’s total bill = 79 +  5.53  = 84.53  $

Total Bill before taxes = 37 + 42 =  79 $

Discount 25 % = (25/100)79 = 19.75$

Total Bill before taxes = 79 - 19.75 = 59.25 $

7 % Sale Tax = (7/100)59.25 =4.1475 $

Isaac’s total bill = 59.25  +  4.1475  = 63.3975  $

Please post Question one by one

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The sales tax on a surfboard is $12. What is the percent of sales tax ...

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An article is avilable for rs1540 inclusive of sales tax at 10% .what ...

Answer:

7/12

1/6 to 2/12 add 5/12 to get 7/12

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

When a force of 270N is applied, the spring stretch by 7.5cm

Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.

Let F represent the force and x represent the extension, hence:

F ∝ x

F = kx; k is the constant of proportionality

When F = 180, x = 5, hence:

180 = 5k

k = 36

F = 36x

When F = 270:

270 = 36x

x = 7.5 cm

When a force of 270N is applied, the spring stretch by 7.5cm

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Step-by-step explanation:

first you need to tranfer 1 to RHS do the addition

n/3 = 8+1

=) n/3 = 9

then you need to transfer 3 to RHS and multiply

=> n = 9 x 3

there for n = 27

Answer:  D. i took the test.. Happy to Help! :)

Step-by-step explanation:

Answer: They both equal the same thing.

Step-by-step explanation: 4/5=0.8

Answer: there both equal

Step-by-step explanation:

4/5 is basically 0.8 cuz 0.8 put a extra 0 in it its gonna say 0.80 and 4 x 20= 80. and that's 80/100 so yea..... 4/5 and 0.8 are equal.

this my first time answering. Sorry if I get it wrong TwT

Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

[tex]\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9[/tex]

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is

y - 5 = 9 (x - 1)

y = 9x - 4

The equation of "tangent-line" to the curve "y = 6x² - x³" at the point (1, 5) is : y = 9x - 4.

To find the derivative of the function f(x) = 6x² - x³, we differentiate each term with respect to x:

f(x) = 6x² - x³,

f'(x) = d/dx (6x²) - d/dx (x³),

f'(x) = 12x - 3x²,

Now, we need to find f'(1), which means evaluating derivative at x = 1;

f'(1) = 12(1) - 3(1)²,

f'(1) = 12 - 3,

f'(1) = 9,

The slope of tangent-line at point (1, 5) is given by f'(1), which is 9;

Using the point-slope form of equation of line (y - y₁ = m(x - x₁)), where m = slope and (x₁, y₁) is the given point (1, 5);

⇒ y - 5 = 9(x - 1),

Simplify the equation:

⇒ y - 5 = 9x - 9,

⇒ y = 9x - 4,

Therefore, the required equation of tangent-line is y = 9x - 4.

Learn more about Tangent Line here

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Answer:

-3.392

Step-by-step explanation:

Math-way

Answer:

niether do i

Step-by-step explanation:

Answer:

42 inches

Step-by-step explanation:

1. To convert feet into inches, multiply the # of feet by 12.

Therefore, 3 1/2 feet in inches is 42 inches.

Answer:

42 inches

Step-by-step explanation:

3.5 feet x 12 inches = 42 inches

Answer:

sorry I can't understand the word

Answer:

1. Triangle XYZ undergoes a translation.

2. Triangle X'Y'Z' undergoes a reflection across the x-axis

Answer:

okay, well, is there any link u wanna post for us to help u? maybe we can explain it?

Step-by-step explanation:

Answer:

What makes a number friendly?

In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and the number itself. Two numbers with the same "abundancy" form a friendly pair; n numbers with the same "abundancy" form a friendly n-tuple.

Step-by-step explanation:

Answer: The guideline doesn’t account for students who may need to spend more—or less—time on assignments. In class, teachers can make adjustments to support struggling students, but at home, an assignment that takes one student 30 minutes to complete may take another twice as much time—often for reasons beyond their control.

Step-by-step explanation:

Hope this helps!

Answer:

help please............

Answer:

450,000

Step-by-step explanation:

The ten thousand digit is 4 and if we compare it to 9, it is bigger then 5 therefore it is rounded up and you get the answer of 450,000

Answer:

Step-by-step explanation:

With the given zero's, the polynomial is:

Open parenthesis in steps:

1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10

2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =

x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =

x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10

This is not matching any options so we add two more zero's: -2√2 and -√5

New polynomial looks like:

Open parenthesis in steps:

Answer:32.5

Step-by-step explanation: i used a calculator

Answer:

$162.50

Step-by-step explanation:

Answer:

The only zero of [tex]F^{-1}(x)[/tex] is [tex]3[/tex].

Step-by-step explanation:

The function [tex]F^{-1}[/tex] is the inverse of function [tex]F[/tex].

For a given [tex]x[/tex] and a given [tex]y[/tex], [tex]F^{-1}(y) = x[/tex] if and only if [tex]F(x) = y[/tex].

Let [tex]y[/tex] be a zero of [tex]F^{-1}(y)[/tex]. That is, [tex]F^{-1}(y) = 0[/tex].

By the reasoning above, since [tex]x = 0[/tex] and this particular [tex]y[/tex] satisfy [tex]F^{-1}(y) = x[/tex], it must be true that [tex]F(x) = y[/tex] for the same [tex]x = 0\![/tex] and [tex]y\![/tex].

Since [tex]x = 0[/tex] and [tex]F(x) = x + 3[/tex], [tex]F(0) = 3[/tex]. Therefore, [tex]y = F(0) = 3[/tex] since [tex]y = F(x)[/tex].

Thus, the zero of [tex]F^{-1}(y)[/tex] would be [tex]y = 3[/tex].

Answer:

y = -3x + 6

Step-by-step explanation:

Two lines that are parallel will have the same slope. All we need to do is find the new y-intercept.

-3 = -3(3) + b

-3 = -9 + b

6 = b

Now we can input the stuff we know and solved for back into the original formula [ y = mx + b ].

y = -3x + 6

Best of Luck!

A parallel line means our new line will have a slope equal to the original line.

The original line is in slope-intercept form, y = mx + b, where m is the slope and b is the value of the y-intercept. This tells us that the slope we want to use is m = -3

By using a slope of -3, with the given point (3,-4), we can now use the point-slope formula to find our new line.

Point-slope formula: y - y1 = m(x - x1) where m is the slope and the line passes through the point (x1,y1)

Combining our point and slope, we get:

y + 4 = -3(x - 3)

If we wish, we can rearrange this by distributing on the right hand side.

y + 4 = -3x + 9

We can then subtract 4 from both sides to get our answer in slope-intercept form

y + 4 - 4 = -3x + 9 - 4

y = -3x + 5

Answer:

The missing value is 56.

Step-by-step explanation:

All side angles must add up to 180. So given the 2 angle measures 30+94 = 124.

Then subtract 180 from 124 to get your answer of 56.

When you add up all the angles, it gets you 180 evenly.

Answer:

0884

Step-by-step explanation: