Solve each component inequality and graph the solution
[tex]x > 2 and \: x - 1 \leqslant 10[/tex]

270 degree counter clockwise is the same as 90 degrees clockwise.

If you imagine the (x,y) axes rotating 90 clockwise, you will see that what x becomes y, and what was y becomes negative x (after the rotation).

So x-->y, and y-->-x

So the answer (c) is the correct one.

Answer:

option C

Step-by-step explanation:

the correct answer is option C

when a point (x, y )  means point lies in the first quadrant is rotated counter-clockwise to 270° means now the point will be in the fourth quadrant.

hence, in algebraic notation we interchange x by negative x

and y remains the same and their value interchanges so,

the best-suited answer will be (x, y) → (y, -x)

hence, the answer will be option C

30×·15=4.50

then subtract 30 by 4.50 to get 25.50

.0825×30=2.475

now add 2.475+25.50+30= 57.975 round to 57.98

The final answer is 36.975. The expression simplifies to 36.975 when all calculations are completed.

1. 30 + (.0825 x 30):

To calculate this part, we first multiply 0.0825 (which is 8.25% written as a decimal) by 30. This gives us:

0.0825 x 30 = 2.475

Next, we add 30 to the result:

30 + 2.475 = 32.475

2. (15% x 30):

To calculate this part, we first convert 15% to a decimal by dividing it by 100:

15% = 15/100 = 0.15

Next, we multiply 0.15 by 30:

0.15 x 30 = 4.5

Now that we have the results from both parts, we add them together:

30 + (.0825 x 30) + (15% x 30) = 30 + 2.475 + 4.5 = 36.975

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Complete question is:

Solve the given expression: 30 + (.0825 x 30) + (15% x 30) =

It is easy to multiply numbers by 10: you simply have to add an extra zero at the end.

This means that, using associative property, we know that

87 x 5 x 2=(87 x 5) x 2=87 x (5 x 2)

The last expression is the easiest to compute, because we have

87 x (5 x 2) = 87 x 10 = 870

Hope I helped.

Expanding the expression, it is found that the statement is false.

---------------------------

[tex](a - b)^2 = (a - b)(a - b) = a^2 - ab - ab + b^2 = a^2 - 2ab + b^2[/tex]

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The statement is false. The square of difference of two quantities is not equal to the difference of their squares. The correct expression for [tex](a-b)^2 is a^2 - 2ab + b^2, not a^2 - b^2.[/tex]

The statement For any two integers a and b,[tex](a-b)^2 = a^2-b^2[/tex] is false. Let's illustrate why this is incorrect with an example. If we let a = 2 and b = 1, then the left-hand side of the equation [tex](a-b)^2[/tex] would give us [tex](2-1)^2[/tex] = 1 and the right-hand side of the equation [tex]a^2 - b^2[/tex] would give us 2² - 1² = 3 which are not equal.

It's important to note that (a - b)² can be expanded to a² - 2ab + b² in accordance with the square of a binomial formula, which is definitely not equal to [tex]a^2 - b^2[/tex]. A common mistake is to drop the middle term in the expansion (-2ab), which leads to this incorrect equation.

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[tex]-3(x-4) > 6(x-1)\qquad\text{use distributive property}\\\\(-3)(x)+(-3)(-4) > (6)(x) + (6)(-1)\\\\-3x+12 > 6x-6\qquad|\text{subtract 12 from both sides}\\\\-3x > 6x-18\qquad|\text{subtract 6x from both sides}\\\\-9x > -18\qquad|\text{change the signs}\\\\9x < 18\qquad|\text{divide both sides by 9}\\\\x < 2[/tex]

The fraction of the contestants are dogs which are 17/48.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that there are dogs, cats, and rabbits.

480 contestants altogether. 1/2 of the contestants are cats, and 1/6 of the contestants are rabbits.

Total = 480

Cats = 1/2 x 480 = 240

Rabbit = 1/6 x 480 = 70

Then; the Number of dogs are

480 - 70 - 240

= 170

Therefore, a fraction of the contestants are dogs which is

170/480 = 17/48

Hence, the fraction of the contestants are dogs which are 17/48.

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Considering that 30% of $7.50 is the same as 0.3/7.5, you would get $2.25 as the markup price. So by adding $7.50 with $2.25, Brittany would charge $9.75 per car magnet.

Answer:

correct

Step-by-step explanation:

The length of the rectangular vegetable garden will be 20 feet.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The region of a rectangular vegetable nursery is 200 square feet. The width is 10 feet.

The length of the rectangle will be given as,

200 = 10 L

L = 200 / 10

L = 20 feet

The length of the rectangular vegetable garden will be 20 feet.

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To find the x-intercept of the equation y = -13x + 3, set y to zero and solve for x to get (3/13, 0). For the y-intercept, set x to zero and solve for y, resulting in (0, 3). These intercepts are then plotted and connected to graph the equation.

Determining X and Y Intercepts

To determine the x-intercept of the linear equation y = -13x + 3, we need to set y to zero and solve for x:

0 = -13x + 3

13x = 3

x = 3/13

So, the x-intercept is (3/13, 0).

To determine the y-intercept, we set x to zero and solve for y:

y = -13(0) + 3

y = 3

Thus, the y-intercept is (0, 3).

Plotting the Intercepts

On graph paper, mark the x-intercept at (3/13, 0) and the y-intercept at (0, 3). Then use a ruler to draw a straight line that passes through these points; this line represents the equation y = -13x + 3.

The slope is the rate of change along a line. However, in this scenario, the slope is not required to plot the line since we already have the intercepts. Nonetheless, for your reference, the slope (m) in the equation y = mx + b corresponds to -13, indicating a decline of 13 units in the y-direction for each single unit increase in the x-direction.

AS

Arithmetic average = Sum of all the numbers /Total numbers

SO arithmetic average= {(-2)+(-5)+(-2)+(5)+(x)+(-3)+(10)+(3)+(8)+(-10)} / 10

                                      ={4x} /10

                                      =0.4 x

As Given Arithmetic average= 8

so   0.4x =8

       Dividing 0.4 Both sides

     0.4x/0.4 = 8/0.4

      x= 20

Hello!

To answer your question we need to follow these steps:

If you have followed these steps correctly you will find that the cost of one sandwich is $10.50!

The larger number is 68 and the smaller number is 25.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the larger number is 18 more than twice the smaller. if the sum of. the two numbers are 93. let the larger number be L and the smaller number be S.

L = 18 + 2S

L + S = 93

18 + 2S + S = 93

18 + 3S = 93

3S = 93 - 18

3S = 75

S = 25

L + S = 93

L + 25 = 93

L = 93 - 25

L = 68

Therefore, the larger number is 68 and the smaller number is 25.

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Answer:

if you are looking for g(x)=x-6 the opp is....... -g(x)=-x+6

Step-by-step explanation:

Answer:  -g(x)=-x+6

Step-by-step explanation:

To find the perimeter of a rectangle, you use the equation 2(lxw) so 2(164.042+82.021)

2(246.063) which is 492.126

The perimeter of an Olympic pool is 492.126 feet if the Olympic swimming pools are rectangles measuring 164.042 feet in length and 82.021 feet in width.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

Olympic swimming pools are rectangles measuring 164.042 feet in length and 82.021 feet in width.

Perimeter = 2(length + width)

Perimeter = 2(164.042 + 82.021)

Perimeter = 2(246.063)

Perimeter = 492.126 feet

Thus, the perimeter of an Olympic pool is 492.126 feet if the Olympic swimming pools are rectangles measuring 164.042 feet in length and 82.021 feet in width.

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Liquid B

Liquid C

Liquid A

Because the denser layers sink and the less dense layers float to the top, just like oil and water, the water is more dense than the oil, that is why the oil floats to the top and the water remains at the bottom:))

At the bottom of the density column there is liquid B with a density of 5.9 g/ml, in the middle liquid C with a density of 3.2 g/ml and in the middle liquid A with a density of 1.4 g/ml be at the top.

Explanation:

To arrange liquids A, B, and C in a density column, you must consider their respective densities, since the highest density liquid stays at the bottom and the lowest density liquid floats at the top. Liquid B has the highest density (5.9 g/ml), then liquid C with a density of 3.2 g/ml, then liquid A with the lowest density, 1.4 g/ml. Therefore, when arranging these liquids in a density column, place liquid B at the bottom, liquid C in the middle, and liquid A at the top.

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6 hours in the morning (from 6 am to 12 am)

1:45 in the afternoon (from 12 am to 1:45 pm)

sum

6:00 + 1:45 =

7:45 ( 7hours and 45 minutes)

6 am to 12 pm is 6 hours.

12 pm to 1 pm is 1 hour.

So you have 7 hours 45 min.

Since 45 min is 3/4 of an hour you would add it up to get 7.75 hours.

Your answer is 7.75 hours.

Hope this Helps!!

the answer to that is 0.59

Answer:

0,900 or 0,9

Step-by-step explanation:

10/17 = 10 ÷ 17 = 0,588235

Hope it helped,

BioTeacher101

10 - x = -8

x = 10 + 8

x = 18

-----------------------

10 - 18 = -8

The degree of the monomial 3x¹⁰ is 10, which is the sum of the exponents of the variables it contains.

The degree of a monomial is the sum of the exponents of all its variables. In the monomial 3x¹⁰, there is only one variable (x) with an exponent of 10. Therefore, the degree of this monomial is 10.

No other operations, such as cubing of exponentials, are relevant in this context.

Answer:

-9

Step-by-step explanation:

10-15 = -5 I-5I= 5

5*-2= -10

5+-10+-4 = -9

answer B

We assume        x=  0.6333

100x = 63.3333

  10x=  6.333  33               (subtract it )

----------------------------

 90x = 57 ( divide by 90 on both sides)

So x= [tex]\frac{57}{90}[/tex]

Answer : [tex]\frac{57}{90}[/tex]

When we can write a number in fraction form then it is a rational number.

We converted the  decimal number into a fraction so it is rational

The answer is B. 57/90, rational.

5, 10, and 20. (This is your answer.)

5 + 10 + 20 = 35.

These numbers are also consecutive, meaning each comes after the other on a number-line.

Hope this helps!

As given, let Jim's rate = x

Let Pete's rate =y

Jim completed half the floor in 12 hours so it's [tex]12\times rate[/tex]= 12x 

Pete completed the other half of the floor in 10 hours so its [tex]10\times rate[/tex]=10y

As floor area is equal so,

[tex]12x=10y[/tex] .............(1)

Now, given is that Pete can lay 25 more tiles per hour than Jim, this gives=

[tex]y=x+25[/tex] ...... (2)

Putting the value of y from equation (2) in equation (1) , we get

[tex]12x=10(x+25)[/tex]

So, the equation is : [tex]12x=10(x+25)[/tex]

If you want to solve it, it becomes:

[tex]12x=10x+250[/tex]

[tex]2x=250[/tex]

[tex]x=125[/tex]

Hence, Jim can lay 125 tiles and Pete can lay 25 more so 125+25=150 tiles.

Answer:

12x=10(x+25)

Step-by-step explanation:

apex