help me with this sum I will mark you as brainiest ​

Answer:

A 130 ft²

Step-by-step explanation:

if I understand this right, then the scale is 1 cm on a drawing is 2 ft in reality.

the room in the drawing measures 5 cm × 6.5 cm.

the question about how much carpet is needed is the question about the area of the floor of the rectangle room.

first e need to get the real measurements :

5 cm = 5×1 cm = 5 × 2 ft = 10 ft

6.5 cm = 6 5×1 cm = 6.5×2 ft = 13 ft

so, the real room is 10 ft × 13 ft.

and the area is therefore 130 ft².

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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Answer: 18, 28, 38, 48, 58

Step-by-step explanation:

Answer:

18, 28, 38, 48, 58

Step-by-step explanation:

I think this is pretty self explanatory.

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

250 ml of the 75% mixture are needed to obtain the desired solution.

Step-by-step explanation:

Since I need a 70% alcohol solution, and on hand, I have a 40 mL of a 35% alcohol mixture, and I also have 75% alcohol mixture, to determine how much of the 75% mixture will you need to add to obtain the desired solution, the following calculation must be performed:

100 x 0.75 + 0 x 0.35 = 75

90 x 0.75 + 10 x 0.35 = 71

89 x 0.75 + 11 x 0.35 = 70.6

87.5 x 0.75 + 12.5 x 0.35 = 70

12.5 = 40

87.5 = X

87.5 x 40 / 12.5 = X

3,500 / 12.5 = X

280 = X

Therefore, 250 ml of the 75% mixture are needed to obtain the desired solution.

In a city of 2,384 people, at least 4  have the same pair of first and last initials.

Assuming that there are 26 letters in the English alphabet and that first and last initials are independent of each other, we can use the generalized version of the pigeonhole principle to find a lower bound for the number of people who have the same pair of first and last initials. Since there are 26 choices for the first initial and 26 choices for the last initial, there are a total of 26 x 26 = 676 possible pairs of initials. Therefore, we need to find the smallest integer n such that 2,384 is at least n x 676. Solving for n, we get: n = ceil(2384/676) = ceil(3.5263) = 4. Therefore, we can conclude that at least 4 people in the city of 2,384 have the same pair of first and last initials.

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Answer:

\(4 \times - 2 {}^{n - 1} \)

Step-by-step explanation:

Use the formula.

\(f(n) = f(1) \times {r}^{n - 1} \)

where f(1) is the first terms, r is the common ratio, and n is our undefined term.

4 is our first term. so

f(1)=4.

Our common ratio is -2 so

r=-2.

\(4 \times - 2 {}^{n - 1} \)

Answer:
If the slopes of two lines are the same then the line is parallel.

If the slope of one line is the negative inverse of the other line then it is perpendicular.

If the two lines intersect and they are not perpendicular they are neither (so if they do not follow the rules above then they are neither).

Step-by-step explanation:

If you have y=2x+3 and y=2x-3 then they are parallel because they have the same slope and they are not the same line.

If you have y=2x+3 and y= (-1/2)x - 3 then they are perpendicular because the slope of line two is the negative inverse of the first line.

If you don't get negative inverse:
If you have 2x then the inverse is 1/2x. Then the negative of (1/2)x is (-1/2)x

B, C, E

--5 + 0 does not equal zero

--any value tomes zero equals zero

--1.4 + 2.7 => 1.0 + 2.0 + 1.1 => 4.1

--2/3(5/9) = 10/27 not 7/12

--4(2/3) = 4.66666 and 5 - 1/3 = 4.66666

Answer:

B, C, and E

Step-by-step explanation:

A is incorrect because any number plus zero results in that number, not 0.

         In equation form: \(x + 0 = x\)

B is correct because any number multiplied by zero results in 0.

         In equation form: \(0(x) = 0\)

C is correct. We can split the added numbers into their decimal place values and add the values separately to get 4.1.

\(1.4 + 2.7 = (1 + 2) + (0.4 + 0.7) = 3 + 1.1 = 4.1\)

D is incorrect because when multiplying fractions, you simply multiply the numerator and denominator; however, this is not done here.

E is correct because 4 2/3 is one third less than 5; we can show this using improper fractions:

\(4 \dfrac{2}{3} = \dfrac{(4 \times 3) + 2}{3} = \dfrac{14}{3}\)                \(5 = \dfrac{5 \times 3}{3} = \dfrac{15}{3}\)

\(\dfrac{15}{3} - \dfrac{14}{3} = \dfrac{1}{3}\)

Answer:

I think you need to add more information but this is my guess. It takes (blank) time to travel 8.42 miles

Step-by-step explanation:

Answer:

it looks like the answer is the second one and makes more sense

Answer:

\(R' = (-1,-0.5)\)

Step-by-step explanation:

See attachment for complete question.

From the attachment:

\(P = (-3,-3)\)

\(R = (1,2)\)

Dilation:

\(D_{(0.5,P)}\)

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

\(R = (1-(-3),2-(-3))\)

\(R = (1+3,2+3)\)

\(R = (4,5)\)

Next, apply dilation factor 0.5

\(R' = R * 0.5\)

\(R' = (4,5) * 0.5\)

\(R' = (4* 0.5,5* 0.5)\)

\(R' = (2,2.5)\)

Lastly, measure R' from the origin by adding the coordinates of P to R'

\(R' = (2+(-3),2.5+(-3))\)

\(R' = (2-3,2.5-3)\)

\(R' = (-1,-0.5)\)

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

The coordinate of the R' after the dilation is (-1,-0.5)

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

Given information-

The points of PQRS are Q(-3,2), R(1,2), P(-3,-3), S(1,-3).

The given points are dilated. This dilation can be measured by subtracting the point P from each point . Thus the point of Q is,

\(Q'=Q-P\\Q'=(-3-(-3), 2-(-3))\\Q'=(0,5)\)

Similarly,

\(R'=R-P= (1-(-3),2-(-3))=(4,5)\\P'=P-P=(-3-(-3), 3-(-3)=(0,0)\\S'=S-P=(1-(-3),-3-(-3))=(4,0)\\\)

As the dilation factor is 0.5. Thus, the point of Q is,

\(Q"=(0.5)\times(0,5)=(0,2.5)\)

Similarly,

\(R"=(0.5)\times(4,5)=(2,2.5)\\P"=(0.5)\times(0,0)=(0,0)\\S"=(0.5)\times(4,0)=(2,0)\\\)

Add the points P back, to the above coordinate plane to get the dilation point. Thus the point of Q is,

\(Q'''=(0,+(-3), 2.5+(-3))\\Q'''=(-3,-0.5)\)

Similarly,

\(R'''=(2+(-3),2.5+(-3))=(-1,-0.5)\\P'''=(0+(-3),0+(-3))=(-3,-3)\\S'''=(2+(-3),0+(-3))=(-1,-3)\\\)

Thus the coordinate of the R' after the dilation is (-1,-0.5)

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Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

Answer:

1) 5m

2) 0.25tan

Step-by-step explanation:

Answer:

y = 3x - 25

Step-by-step explanation:

If the line is parallel, it will have the same slope. So, the line will also have a slope of 3.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

2 = 3(9) + b

2 = 27 + b

-25 = b

Plug in the slope and y intercept into y = mx + b:

y = mx + b

y = 3x - 25

So, the equation of the line is y = 3x - 25

Step-by-step explanation:

\((x-3)-(+24) = 0 \\ x - 3 - 24 = 0 \\ x - 27 = 0 \\ x = 27\)

Answer: 27

Step-by-step explanation: ..

Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x

Part B: width is 50 meters.

The formula for calculating the area of a rectangle is expressed with the equation;

A = lw

Such that the variables are expressed as;

We then have that;

l = 2x + 10

Substitute the values

5500 = (2x + 10)(x)

expand the bracket

5500 = 2x² + 10x

2x² + 10x - 5500

x² + 5x - 2750

x² + 55x - 50x - 2750

x(x + 55) - 50(x + 55)

x = 50 meters

Length = 2(50) + 10

Length = 100 + 10 = 110 meters

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Answer:

Step-by-step explanation:

It would be -5 3-5=-2

Step-by-step explanation:

The bottom two expressions are polynomials.

In slope-intercept form, we can classify the following values.

m = slope

b = y-intercept

Turn the equation into slope-intercept form (y = mx + b).

3y + 2x = -21

~Subtract 2x to both sides

3y + 2x - 2x = -21 - 2x

~Simplify

3y = -21 - 2x

~Divide 3 to both sides

3y/3 = -21/3 - 2/3x

~Simplify

y = -7 - 2/3x

~Put into correct order

y = -2/3x - 7

So, the y-intercept is -7

Best of Luck!

Answer: -7

Step-by-step explanation: To identify the y-intercept of the line, we would first convert the equation to slope-intercept form.

In slope-intercept form or y = mx + b form, the y

is by itself on the left side of the equation.

So our first task in this problem is to get y by itself on the left side of the equation and we do that by first subtracting 2x from both sides to get 3y = -2x - 21.

Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.

Continuing on, to get y by itself we would

divide both sides by 3 to get y = -2/3x - 7.

Now our equation is written in slope-intercept form and

we can identity that the y-intercept of this line is -7.

Answer:m

Step-by-step explanation:

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

g(-4) = 8

Step-by-step explanation:

g(-4) = - ( - 4 ) + 4

       = 8

If this helps you, please give brainliest!

Answer: Let's begin by assigning variables to represent the dimensions of the room. Let's use "l" to represent the length and "w" to represent the width.

We know that the length of the room is 5 feet longer than twice the width, so we can write an equation:

l = 2w + 5

We also know that the perimeter of the room is 178 feet. The formula for the perimeter of a rectangle is:

perimeter = 2(length + width)

Substituting the equation we found for the length, we get:

178 = 2(2w+5 + w)

Simplifying, we can combine like terms and solve for w:

178 = 2(3w+5)

89 = 3w+5

84 = 3w

w = 28

Now that we know the width is 28 feet, we can use the equation for the length to find the length:

l = 2w+5 = 2(28)+5 = 61

Therefore, the dimensions of the room are 61 feet by 28 feet.

Step-by-step explanation:

The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

To find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:

Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.

Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.

Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.

Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.

Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).

Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

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