In the figure below, which term best describes point X?

A. Circumcenter
B. Orthocenter
C. Centroid
D. Incenter

Answer:

Quotient= 70

Remainder=14

Step-by-step explanation:

Do you need explanation?

Answer:

23 goes into 1,624 70 times

Problem 61

The nth triangular number is

T(n) = n(n+1)/2

I'll rewrite this into

T(n) = 0.5n(n+1)

The triangular number right after this is

T(n+1) = 0.5(n+1)(n+2)

I replaced every n with n+1 and simplified

Let's see what we get when we add up the two expressions

T(n) + T(n+1)

0.5n(n+1) + 0.5(n+1)(n+2)

0.5n^2+0.5n + 0.5(n^2+3n+2)

0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1

n^2+2n+1

(n+1)^2

This shows that the sum of any two consecutive triangular numbers results in a square number

Here's a few examples

Note each sum is a perfect square, which visually would plot out a square figure.

For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}

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Problem 64

Let's say we go with n = 5.

This means,

T(n) = 0.5n(n+1)

T(n-1) = 0.5(n-1)(n-1+1)

T(n-1) = 0.5n(n-1)

T(5-1) = 0.5*5(5-1)

T(4) = 10

This says that when n = 5, the 4th triangular number is 10

Triple that result and add on n = 5

3*T(4) + n = 3*10+5 = 35

This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.

Through a bit of trial and error, you should find it's a pentagonal number

Pentagonal numbers are of the form n(3n-1)/2

If you plugged n = 5 into that, it leads to 35

n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35

The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)

Answer: Should be 8 ,,,,,

Answer:

Step-by-step explanation:

well you want to isolate x so in order to undo multiplication, you divide the 5 on both side that way it cancels on the side with the x.

The answer to that is: X = 8.

40 divided by 5 = 8.

To check we can do 5 x 8 = 40.

X = 8

Answer:

Peter = 6 kg

Mary = 12 kg

Lucy = 8 kg

Step-by-step explanation:

let us take number of kg's peter took as x

then lets form an expression to find x

let us take mary's chestnuts as = 2x (twice as much as peter)

let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)

so

x + 2x + 2+ x = 26

4x + 2 = 26

4x = 26 - 2

4x = 24

x = 24/4

x = 6

now let us see how much each of them picked while replacing 6 by x

Peter = x

         = 6 kg

Mary = 2x

         = 2(6)

         = 12 kg

Lucy = 2+x

        = 2 + 6

        = 8 kg

now let us cross check to see the answer

6 + 12 + 8

18 + 8

= 26

CROSS-CHECKED

Answer:

-25

Step-by-step explanation:

sorry for the mistake

​

Answer:

$24

Step-by-step explanation:

h x 5 = 30

h = 6

30 - 6 = 25

Answer:

2: B*W=A (Answers)

Step-by-step explanation:

A: A meter of rope should cost $0.8 or 80 cents.

B: It should be 1.20 meters.

Step-by-step explanation:

[tex]16x^4-(y-1)^2=4^2\cdot (x^2)^2-(y-1)^2=(\textcolor{blue}{4x^2})^2-(\textcolor{green}{y-1})^2[/tex]

[tex]\text{Comparing with } \textcolor{blue}{U}^2-\textcolor{green}{V}^2, \text{ we know}[/tex]

[tex]\textcolor{red}{U=4x^2, V=(y-1)}[/tex]

[tex]\text{By the formula } U^2-V^2=(U+V)(U-V)[/tex]

[tex]16x^4-(y-1)^2=(4x^2)^2-(y-1)^2=\textcolor{red}{(4x^2+y-1)(4x^2-y+1)}[/tex]

Answer:

[tex]2 {x}^{3} {y}^{8} \div 4 {y}^{2} \\ = {x}^{3} {y}^{8} \div 2 {y}^{2} \\ = {x}^{3} {y}^{8 - 2} \div 2 \\ = {x}^{3} {y}^{6 } \div 2 \: \: \: ans[/tex]

Step-by-step explanation:

Plz make it brainlist answer your questions have been solved

Explanation:

I'm assuming you meant to say the area is 375 in^2, aka 375 square inches.

If so, then,

area of rectangle = length*width

A = L*W

A/L = W

W = A/L

W = 375/25

W = 15 inches

As a check,

A = L*W = 25*15 = 375 which helps confirm the answer.

Answer:

x = 11

Step-by-step explanation:

[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]

Perimeter of a shape can be determined by the sum of its individual sides. Thus, the answers to the given questions are:

(a) 360 feet

(b) 240 feet

(c) $1000.0

Perimeter can simply be defined as the sum of all sides of a given figure or shape. Thus, the solutions required can be determined as follows:

(a) Side AB = CA = (7 - 1) x 10 feet

                            = 6 x 10 feet

                            = 60 feet

    Side AD = BC = 13 - 1

                            = 12 x 10 feet

                            = 120 feet

The perimeter of the entire yard = 60 + 120 + 60 + 120

                                                      = 360

Perimeter of the entire yard = 360 feet

(b) Side AB = EF = 60 feet

    Side FA = BE = (7 -1) x 10 feet

                                    = 60 feet

So that,

The perimeter of the backyard = 60 feet x 4

                                     = 240

Perimeter of the backyard = 240 feet

(c) The cost of installing a fence in the entire yard = [tex]\frac{360}{6}[/tex] x $50

                                     = $3000.0

 The cost of installing a fence in the back yard = [tex]\frac{240}{6}[/tex] x $50

                                    = $2000.0

The amount saved by only installing a fence in the back yard = $3000.0 - $2000.0

                                   = $1000.0

Thus, the amount saved by only installing a fence in the back yard is $1000.0

Visit: https://brainly.com/question/23123059

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

Answer:

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Step-by-step explanation:

Let x ounces of 11% alcohol must be mixed with the 2 ounces of 20% alcohol.

The amount of alcohol in 4 ounces solution is=   ounces

                                                             = 0.8 ounces

The amount of alcohol in x ounces  solution is=   ounces

                                                                             = 0.11 x ounces

Total amount of alcohol is = (4+x) ounces

According to the problem,

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Answer:

140 comied

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

40° + 3y + 2y = 180°

↔ 5y = 140°

↔ y =28°

Answer:

(-6, 4)

Step-by-step explanation:

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Change the mixed numbers to improper fractions

([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6

= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]

= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{15}{6}[/tex]

= [tex]\frac{5}{2}[/tex]

= 2 [tex]\frac{1}{2}[/tex]

Answer:

a tub of popcorn is $4 each

Step-by-step explanation:

ticket $5.50

popcorn $4

Step-by-step explanation:

solving by simultaneous equ

5m+3t =$39.50 .. equ1

3m+t = $20.50.. equ2

by elimination m= $5.50

subt m=$5.50 to get t

t=$4

hence, a tub of popcorn is $4

Answer:

They are all right

Step-by-step explanation:

all of them are right

Everything is correct except the last one. I have attached the solutions, see them.

Lois will sell her tee-shirt for $13.20

The percentage profit = [tex]\frac{profit}{cost price}[/tex] × 100

Profit = Selling price - cost price

Cost price is the total amount expended in making the tee-shirts

cost price includes cost of buying blank shirt , cost of fabric paint and amount Lois pay herself

cost of buying blank shirt = $1

cost of fabric paint = $1

amount Lois pay herself = [tex]1\frac{1}{2}[/tex] x $6

[tex]\frac{3}{2}[/tex] x $6 = $9

Total cost price = $1 + $1 + $9 = $11

0.2 = [tex]\frac{profit}{11}[/tex]

profit = 11 x 0.2 = $2.2

$2.20 = selling price - $11

selling price = $11 + 2.20 = $13.20

To learn more about selling price, please check : https://brainly.com/question/15533091?referrer=searchResults

Answer:

32

Step-by-step explanation:

I don't know if I am correct but if you subtract 32 from 45632 then you will get 45600 which is easily divisible by 100, so your answer is 32

Answer:

B. 2³(3 x 5² + 2²)

Step-by-step explanation:

2³(3 x 5² + 2²)

Step 1. Simplify the exponents

8(3 x 25 + 4)

Step 2. Multiply 3 and 25

8(75 + 4)

Step 3. Add 75 and 4

8(79)

Step 4. Multiply

632

Answer:

Option B. 2³(3 x 5² + 2²) is correct

Step-by-step explanation:

2³(3 x 5² + 2²)

First of all multiply the exponents

8×(3×25+4)

Then do the multiplication of 3 and 25

8×(75+4)

Now add the following numbers in the bracket

8×(79)

And the last multiply the following numbers

8×79

632

[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]

Either take the photo of that question or take screenshot and attach it. The question is not complete.

Answer:

something

Step-by-step explanation:

I JUST NEED POINTS TO ASK QUESTIONS

Answer:

-3

Step-by-step explanation:

3x +7 =f(x+1)

3x +7=x+1

3x-x=-7+1

2x=-6

-3

Answer:

x = 6

Step-by-step explanation:

Because AB = BC and AB = 4x , AC = 24

=> 4x = 24

      x =6

Answer:

X=3

I hope this helps,

Not the neatest of handwriting though

Answer:

(4 , 1 , -5)

Step-by-step explanation:

hopefully it is clear and visible...and also understandable

:)

Answer:

-6

Step-by-step explanation:

[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]

[tex] (-4)² = 4²= 4×4 =16 [/tex]

[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]

[tex] -8 + 16-6= -14 + 16 = 2[/tex]

[tex] - 4( - 8 + 16 - 6) + 2[/tex]

[tex] - 4 \times 2 + 2[/tex]

[tex] - 8 + 2[/tex]

[tex] = - 6[/tex]