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Answer:

Step-by-step explanation:either C or

B

2066+1-2000+67

Step-by-step explanation:

The number 2067 in words is represented as Two Thousand and Sixty-Seven. For instance, the cost of a study lamp is Rs. 2067, then you can say, “The cost of a study lamp is Rupees Two Thousand and Sixty-Seven”. 2067 is a cardinal number. It is easy to convert any number into words using a place value chart. Hence, it is essential to use a place value chart to represent numerical names. Here, we will learn how to convert 2067 into words

Answer:

Step-by-step explanation: Because

210 divided by 6= 35

and

210 divided by 3.50= 60

so the answer would be:

C) solve the system of equations to find the number of child and adult dinners served

(B) Zero-dimensional describes a point.

Therefore, the correct answer is (B) Zero dimensional because it cannot be one or zero dimensions, since a vector is a three-dimensional point.

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Answer:

Either $41.64 per person or $42.07, depending on if they tip pre or post sales tax.

Step-by-step explanation:

b=98.75

x=6.5/100=0.065

p=20/100=0.2

If tipping on taxed subtotal:

T=[(bx+b)p+(bx+b)]/3

T=[(98.75(0.065)+98.75)(0.2)+98.75(0.065)+98.75]/3

T=42.07 per person

If tipping on untaxed subtotal:

T=(bx+bp+b)/3

T=(98.75(0.065)+98.75(0.2)+98.75)/3

T=41.64 per person

The correct statement regarding whether we can determine the order of the rational numbers:

C) No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.

The absolute value of a number is the number without the signal, for example:

|-2| = |2| = 2.

In this problem, we are only given the absolute value of the numbers, we do not know the signs of the numbers, hence we cannot order them.

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No, we cannot determine the order of the set of rational numbers because we only know their absolute values, not their signs. The answer is option C.

The question is asking whether we can determine the order of a set of rational numbers given their absolute values. The answer to this is option C: No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers. Knowing only the absolute values does not give us any information about whether the original rational numbers were positive or negative. Absolute value only indicates the magnitude of a number, not its sign, therefore without this information, the original sequence of the rational numbers cannot be determined.

Answer:

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have:

[tex]x^2-2x+y^2+4y=4\qquad\text{add}\ 1^2\ \text{and}\ 2^2\ \text{to both sides}\\\\x^2-2x+1^2+y^2-2(-2)(y)+2^2=2(1^2)(2^2)\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-1)^2+(y-(-2))^2=8\\\\h=1,\ k=-2\to(1,\ -2)[/tex]

Answer:

36000pi

Step-by-step explanation:

V = 4/3*pi*r^3  so we need to know r

we know surface area, which is 4pi*r^2=3600pi.  so we can solve for r

r=30

so v = 4/3*pi*30^3 = 36000pi

Answer: a) meter

Step-by-step explanation:

Answer:

meter

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

-7+15 is 8 cause it's negative 7 you have to tecnaclly subtract 7 from 15 then you would multply it by 7

12 mph = 12 miles / 1 hour

= 12 miles / 60 minutes

= 12/60 miles/minute

=1/5 miles / minute

=0.2 miles/ minute

so ans is option c

Answer:

A and C are your answers.

Step-by-step explanation:

A because there is 5,280 ft in a mile.  and if you multiply that by 12 you will get 63,360. It is also C because in 60 minutes you will travel 12 miles if you are going 0.2 miles a minute. Hope this Helps!

Answer: 8 times

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Therefore, each exterior angle of the polygon is:

[tex]\frac{360\°}{n}[/tex]

Where n is the number of sides of the polygon.

 The lengths of the sides of  a regular octagon are equal and the measures of the internal angles are equal too.

The sum of the exterior angles of a polygon is 360 degrees and it has 8 sides, therefore, the measure of each exterior angle is:

[tex]=\frac{360\°}{8}=45\°[/tex]

You know that the regular octagon rotates 360° about its center.

Therefore, keeping all the above on mind, you have that the number of times (which you can call x) the image of the octagon coincide with the preimage during the rotation is:

[tex]x=\frac{360\°}{45\°}=8\ times[/tex]

Answer: Option C

Step-by-step explanation:

The solution from the number line is  (-∞,-3]∪[1,∞)

Given equation :

[tex]|x+b| ---2[/tex]

[tex](x+b) ----2[/tex] or

[tex]-(x+b)---2[/tex]

Putting b=1 and the inequality ≥ gives the required solution.

[tex]|x+1|\geq 2[/tex]

=> [tex](x+1)\geq 2[/tex] or [tex]-(x+1)\geq 2[/tex]

=> [tex]x\leq -3[/tex] or [tex]x\geq 1[/tex]

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

An inequality is an expression that shows the non equal comparison between two or more variables and numbers.

From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3

Hence:

|x + b| ≥ 2

x + b ≥ 2 or -(x + b) ≥ 2

x ≥ 2 - b or x ≤ -2 - b

2 - b = 1 and -2 - b = -3

b = 1

Hence |x + 1| ≥ 2

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

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Answer:

each side of the square is 2cm

To find the base of a square with an area of 4 cm², we take the square root of the area. The base of the square is 2 cm because the square root of 4 is 2.

To work out the base of a square with an area of 4 cm², we note that a square's area is calculated by multiplying one of its sides by itself, which is represented as side length² or a². Given that a square's area is 4 cm², we set up the equation a² = 4 cm². Solving for a, we take the square root of both sides of the equation. The side length a is thus 2 cm, since the square root of 4 is 2. Therefore, the base of the square is 2 cm.

Answer:

5/33

Step-by-step explanation:

The table with proper formatting is attached in the image below.

We have to calculate the experimental probability that the next customer buys a red notebook with 150 pages.

Total number of customers in the experiment = Sum of all the values in the given table = 396

Number of customers who bought red notebook with 150 pages = 60

Experimental probability = [tex]\frac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]

Number of favorable outcomes in the experiment were 60 and the total outcomes in the experiment were 396.

Therefore, the probability that next student buys a red notebook with 150 pages will be 60/396 = 5/33

The experimental probability that the next customer buys a red notebook with 150 pages is approximately 0.326 or about 32.6%, calculated by dividing 60 red 150-page notebooks sold by the total 184 notebooks sold of that size.

The student is asking about the experimental probability that the next customer will buy a red notebook with 150 pages. To determine this probability, one must look at past data to find the frequency with which customers have purchased red notebooks of 150 pages and divide this by the total number of notebook purchases of all colors with 150 pages.

Based on the data provided:

The experimental probability is therefore calculated as follows:

P(red 150-page notebook) = Number of red 150-page notebooks sold / Total number of 150-page notebooks sold

P(red 150-page notebook) = 60 / 184

P(red 150-page notebook) = 0.326 or about 32.6%

Answer:

larger number=19

smaller number=7

Step-by-step explanation:

x=2y+5

x-y=12

(2y+5)-y=12

y+5=12

y=7

x=2(7)+5

x=14+5

x=19

Answer:

b=7,A=19

Step-by-step explanation:

A=2b+5

a-b=12

2) make both equations equal to 'a' by adding b on both sides so

a=2b+5,a=b+12

since both equations are equal to a, they are equal(is a=b then b=c property)

2b+5=b+12

this is a start, you can finish by combining the like terms and moving them to one side to get b=7 and a=19

HOPE THIS HELPS!!!

Answer:

The additive inverse is equal to [tex]6x^{3}-4x^{2}+4x[/tex]

Step-by-step explanation:

we know that

Two polynomials area additive inverses if they are opposites of each other

we have

[tex]-6x^{3}+4x^{2}-4x[/tex]

To find the additive inverse multiply the polynomial by -1

[tex]-1*(-6x^{3}+4x^{2}-4x)=6x^{3}-4x^{2}+4x[/tex]

Answer:

the length of y= 19 because in every letter you have been adding 2.

The correct answer is:

8 cm.

Answer:

 Find out the true statement of the diagram.

To proof

The statement true about the diagram is

Ray KM is an angle bisector of ∠NKL

REASON

KM ia an angle bisector of ∠NKL.

angle bisector is a line which divide the an angle in two equal parts.

As shown in the diagram

KM divided the angle ∠ NKL

and also in the diagram

∠LKM =61°

∠MKN = 61°

that means KM divided ∠NKL in two equal angle

thus

Ray KM is an angle bisector of ∠NKL

Hence proved

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Step-by-step explanation:

Answer:

Ray KM is an angle bisector of NKL.

Step-by-step explanation:

edge 2022

Since y=6, we can plug it in the second equation so it would be x+6=20 which means x=14, you can comment if anything confuses you

Answer:

D. 30 2/3

Step-by-step explanation:

What you want to do is convert everything for feet, ill explain why later. 1 yard is 3 feet long. SO 9 x 3 = 27. 27 + 2 = 29 feet. The patio is 29 feet long.

5 x 3 = 15. 15 + 2 = 17 feet. So the patio is 29 x 17. To find the perimeter, you want to do: 29 + 29 + 17 + 17 = 92 feet. Convert it back to yards by doing 92/3. That equals 30.6667. In other words, 30 2/3. The answer is D. Hope this helps!

Answer:

Step-by-step explanation:

The problem is asking for the perimeter in yards, that means we have to transform feet to yards. Also, remember that the perimeter refers to the sum of all sides.

We know that 1 yard represent 3 feet. So:

[tex]2ft\frac{1yd}{3ft}=\frac{2}{3}yd[/tex]

That is, 2 feet represent 2/3 yards.

Now, we have to sum all sides:

[tex]2(9+\frac{2}{3})+2(5+\frac{2}{3})=18+\frac{4}{3}+10+ \frac{4}{3}=28+\frac{8}{3}=\frac{84+8}{3}=\frac{92}{3}=30\frac{2}{3}[/tex]

Therefore, the right answer is D.

Answer:

33.912 in

Step-by-step explanation:

find the area of the circle first by: multiplying 1.5squared X 3.14= 7.065

the multiply it by the height (4.8) = 33.912

The volume of the cylindrical can is 33.9292 cubic inches.

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. The volume is given by the formula -

V = π * [tex]r^{2}[/tex] * h

where V = volume of cylinder, r = radius and h = vertical height

It is said that the cylindrical can has a radius of 1.5 inches and a height of 4.8 inches.

Thus we have r = 1.5 inches and h = 4.8 inches .

⇒ Volume (V) = π * 1.5 * 1.5 * 4.8 cubic inches

∴  V = 33.9292 cubic inches .

Therefore, the volume of the cylindrical can is 33.9292 cubic inches.

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y = 2x - 7

Inverse:

x = 2y - 7

x + 7 = 2y

(x + 7)/2 = y

Answer: y = x/2 + 7/2

Answer with explanation:

The given Linear equation is:

  y=2 x -7

→2 x= y +7

[tex]x=\frac{y+7}{2}[/tex]

Replacing , x by ,y and y by x to get inverse of the given function

 [tex]y=\frac{x+7}{2}[/tex]

2 y = x +7→→Inverse of the function, y= 2 x -7

→None of the Option Matches with the given options.

Answer: The answer is B. p-99

Step-by-step explanation: The price goes first and then since it’s reducing you put minus 99 since it’s decreasing the price of the game system. Hope this was helpful y’all have a blessed day

Answer:

option B

35

Step-by-step explanation:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

Formula to calculate combination

nCr = n! / r! * (n - r)!

We are given C(7,3)

here n = 7

        r = 3

7C3 = 7! / 3! * (7 - 3)!

       = (7x6x5x4x3x2) / (3x2)(4x3x2)

       = (7x6x5) / (3x2)

       = 210 / 6

       = 35

Final answer:

The value of C(7, 3), which is the number of combinations of 7 items taken 3 at a time, is 35. The calculation uses the combinations formula C(n, k) = n! / (k! * (n - k)!), simplifying the factorials and the result is determined.

Explanation:

To evaluate C(7, 3), we need to calculate the number of combinations of 7 items taken 3 at a time. The formula for a combination is given as:

C(n, k) = n! / (k! * (n - k)!)

Here, n represents the total number of items and k represents the number of items to choose. Let's plug in the values to calculate this:

C(7, 3) =[tex]7! / (3! * (7 - 3)!) = 7! / (3! * 4!)[/tex] = (7 x 6 x 5 x 4 x 3 x 2 x 1) / ((3 x 2 x 1) * (4 x 3 x 2 x 1))

After canceling the matching factorial terms, we get:

C(7, 3) = (7 x 6 x 5) / (3 x 2 x 1) = 210 / 6 = 35

Therefore, the value of C(7, 3) is 35.

It takes 10 workers 5 days to complete a road repair when working 2 hours a day.

So, this becomes : [tex]2*5*10=100[/tex] man hours required to finish the work.

Given is, if 2 people work for 5 hours a day, then let the number of days to finish the road be = d

So, total man hours = [tex]2*5*d=10d[/tex]

Now, [tex]10d=100[/tex] or [tex]d=10[/tex]

Hence, it will take 10 days for 2 people working 5 hours daily, to complete the work.

It will take 10 days for 2 people working 5 hours a day to finish the road repair.

From the question;

10 workers can finish road repair in 5 days working 2 hours a day

We need to find;

The number of days required to complete the road repair by 2 workers  working 5 hours a day.

Assuming the number of days required to complete the work is x

Number of working hours of 10 people is 10 hours ( 2 hours a day for 5 days)

Number of working hours of 2 people is 5x hours (5 hours a day for x days)

Note that; the number of workers or people is inversely related to the number of working hours.

Therefore;

Product of number of people and working hours or work done is a constant

Thus;

10 × 10 =  2 × 5x

100 = 10 x

x = 10

Therefore;

2 workers working 5 hours a day will require 10 days to complete the road repair.

Keywords: rate of work, number of hours, number of days required to complete the job.

Level: Middle school

Subject: Mathematics

Topic: Rate of work

I think the answer would be 5

Answer:

x = 3, -2

Step-by-step explanation:

To help us factor, we can split the middle term up into the sum of the terms -3x and 2x:

[tex]x^2+(-3x)+2x-6=0[/tex]

From there, we can factor out an x from the first two term and a 2 from the last two to obtain the equation

[tex]x(x-3)+2(x-3)=0[/tex]

Factoring out an (x - 3) from each term gives us the equation

[tex](x-3)(x+2)=0[/tex]

At this point, we can divide by either x - 3 or x + 2 to obtain the two equations

[tex]x-3=0[/tex] and [tex]x+2=0[/tex]

Solving both for x gives us the solutions x = 3 and x = -2. We can verify these by substituting them back into the original equation:

[tex]3^2-3-6=0\\9-3-6=0\\6-6=0\\0=0[/tex]

[tex](-2)^2-(-2)-6 = 0\\4+2-6=0\\6-6=0\\0=0[/tex]

Answer:

B    (2,1)

Step-by-step explanation:

Answer: B. (2,1)

Step-by-step explanation:

The given system of equation :

[tex]y=2x-3...........................(1)\\\\y=-2x+5.............................(2)[/tex]

Adding equation (1) and (2), we get

[tex]2y=-3+5\\\\\Rightarrow\ 2y=2\\\\\Rightarrow\ y=1[/tex]

Substitute the value of y in the first equation , we get

[tex]1=2x-3\\\\\Rightarrow\ 2x=1+3\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2[/tex]

Therefore, the solution to the given system of equations = (2,1)

3x+7=x+53

Subtract x from both sides

2x+7=53

Subtract 7 from both sides

2x=46

X=23