The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.

(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm

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Explanation:

Order doesn't matter when it comes to committees without rankings. Each person on the committee is of equal rank to anyone else. This means we'll use a combination instead of a permutation.

We have 8 men and 3 seats to fill for the men. Plug n = 8 and r = 3 into the nCr combination formula

n C r = (n!)/(r!(n-r)!)

8 C 3 = (8!)/(3!*(8-3)!)

8 C 3 = (8!)/(3!*5!)

8 C 3 = (8*7*6*5*4*3*2*1)/((3*2*1)*(5*4*3*2*1))

8 C 3 = (40320)/((6)*(120))

8 C 3 = (40320)/(720)

8 C 3 = 56

This means there are 56 ways to select the three men from a pool of eight.

Through similar steps, you should plug n = 7 and r = 3 into the nCr combination formula to get 7 C 3 = 35. This means there are 35 ways to pick the three women from a pool of seven.

Overall, there are 56*35 = 1960 ways to select the entire committee of 3 men and 3 women (from a pool of 8 men and 7 women).

1) we calculate the volume of the first carton:

volume=length x width x height

volume=3 ft * 2 ft * 2 ft=12 ft³

Therefore:

A machine can fill 12 ft³ in 3 seconds.

2) we calculate the volume of the second carton.

volume=length x width x heigth

volume=4 ft * 5 ft * 6 ft=120 ft³

3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.

12 ft³---------------------3 seconds

120 ft³--------------------      x

x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.

answer: 30 seconds.

Please mark brainliest if it helped

Answer:

r=8cm/2=4cm

using Pythagoras theorem.

(Slant height)²=radius²+height²

slant height²=(4cm)²+(9cm)²

s²=16cm²+81cm²

s²=97cm²

s=(97cm²)⁰'⁵

s=9.8cm

hope it was helpful.

the slant height is 9.8cm

Answer:

his neighbors payed him 25 dollers

Step-by-step explanation:

3+16=19

19+6=25

Answer:

A is correct since,

x>-3 and x<1

x=(-2,-1,0)

|x+1|<2

|-2+1|<2

|-1|<2

1<2

|-1+1|<2

|0|<2

0<2

|0+1|<2

|1|<2

1<2

Therefore A is correct

please mark me brainliest

Answer:

She has 4 quarters, 13 dimes, and 10 nickels in her purse

Step-by-step explanation:

Let q be the amount of quarters, d be the amount of dimes, and n be the amount of nickels she has in her purse. We can use this to set up a system of equations:

25q+10d+5n=280

This is because a quarter is 25 cents, a dime is 10 cents, and a nickel is 5 cents. We also have to convert $2.80 to cents since all our other values are in cents.

d=q+9

She has 9 more dimes than quarters

n=q+6

She has 6 more nickels than quarters

We can solve this system using substitution (substitute q+9 for d and q+6 for n)

25q+10(q+9)+5(q+6)=280

25q+10(q)+10(9)+5(q)+5(6)=280

25q+10q+90+5q+30=280

40q+120=280

Subtract 120 from both sides

40q=160

Divide both sides by 40

q=4

Now we plug this back into the other equations to find the amount of nickels and dimes

d=q+9=4+9=13

n=q+6=4+6=10

She has 4 quarters, 13 dimes, and 10 nickels in her purse

Answer:

25 games were played

Step-by-step explanation:

I first found how many games were played in 10 days

and then multiplied it by 5 to know how many games were played in 50 days

(but I am not sure if it is correct since it said that 1 game was played everyday and with rules I am not sure if it is even possible)

feel free to correct me

Answer: 17

Step-by-step explanation:

Lisa and Melinda will play together 8 times

Lisa and Rahul will play together 12 times

Melinda and Rahul will play together 4 times

So total games are 24 -- but they all will play together 4 times.

Since, "exactly 1 game is played per day", they cannot play 2 and 3 together at any day.

So total number will be: (8-4) + (12-4) + (4-4) = 12

Now, we must consider 4 where they played all 3 together; so total number: 12 + 4 = 16

Also, they already played 1 game at 1st day; so total number: 16 + 1 = 17

The value for the given expression will be -96.

Expression in maths is defined as the collection of the 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.

The given expression will be solved as below:-

E = 4(-(-2) - 11) + 5(-1 - 11)

E = 4(-9) + 5(-12)

E = -36 + (-60)

E = -96

Therefore, the value for the given expression will be -96.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

%100 Elon Musk going to Mars

Step-by-step explanation:

yes yes yes

i don't know if this is the answer you want

please mark brainliest i need 3 more

Adjacent sides of a parallelogram are not congruent.

A quadrilateral is a polygon with four sides and and four angles. A parallelogram has opposite sides parallel and equal. Two consecutive angles of a parallelogram are supplementary. Opposite angles and diagonals are congruent. The diagonals bisect each other.

(2x + 7) + (3x - 2) = 180 (consecutive angles)

x = 35°

Find out more on Quadrilateral at: https://brainly.com/question/23935806

Answer:

900 km i think

Step-by-step explanation:

umm so first 8*10=80%, then 4500-80%

Answer:

6+(2x5)=60

Step-by-step explanation

10+(2x5)=20

20+(2x5)=30

30+(2x5)=40

40+(2x5)=50

50+(2x5)=60

Answer:

1/6 or 16 2/3 %

Step-by-step explanation:

There are 6 possibilities, 10, 10, 10, 11, 11, 12 out of 36 total possible outcomes.

6/36

1/6

Answer: 624

Step-by-step explanation:

The area of a rhombus is the product of the diagonals divided by 2 so the area of the rhombus in this case is 12 * 16 / 2 or 96 multiply with 6.5 we get 624 so that's the answer

Answer:

177 hits

Step-by-step explanation:

Let [tex]x[/tex] = number of baseball games

Let [tex]y[/tex] = number of hits

(30, 25) = [tex](x_1,y_1)[/tex]

(100, 165) = [tex](x_2,y_2)[/tex]

Slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{165-25}{100-30} =2[/tex]

Using the point-slope formula to create an equation:

[tex]y-y_1=m(x-x_1)\\\\\implies y-25=2(x-30)\\\\\implies y=2x-35[/tex]

Now substitute [tex]x = 106[/tex] into the equation and solve for [tex]y[/tex]:

[tex]\implies y=(2 \times 106)-35=177[/tex]

Therefore, the number of hits Bryce would have after 106 games is 177

Take 2 points

Slope:-

[tex]\\ \rm\hookrightarrow m=\dfrac{165-25}{100-30}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{140}{70}=2[/tex]

Equation in point slope form

[tex]\\ \rm\hookrightarrow y-25=2(x-30)[/tex]

[tex]\\ \rm\hookrightarrow y-25=2x-60[/tex]

[tex]\\ \rm\hookrightarrow 2x-y-35=0[/tex]

[tex]\\ \rm\hookrightarrow y=2x-35[/tex]

[tex]\\ \rm\hookrightarrow y=2(106)-35=212-35=177[/tex]

Answer:

[tex]\frac{1}{3}(p-2)[/tex] ,    1/3(p-2)

Step-by-step explanation:

[tex]\frac{1}{3} p-\frac{2}{3}[/tex]

[tex]\frac{1}{3}(p-2)[/tex]

Answer:

8

Step-by-step explanation:

first number = a, there are n numbers

so last number is a + n - 1

sum = [a + (a + n - 1)} * n/2 = (2a + n - 1) / 2 = 2012

n * (2a + n - 1) = 2012 * 2 = 4024

4024 is even, so n must be even, divisible by 2, 4, 8

4024 = 2 * 2012 = 4 * 1006 = 8 * 503

If n = 2, 2a + n - 1 = 2012, 2a + 2 - 1 = 2012, 2a = 2011, impossible.

If n = 4, 2a + n - 1 = 1006, 2a + 4 - 1 = 2a + 3 = 1006, 2a = 1003, impossible

If n = 8, 2a + n - 1 = 503, 2a + 8 - 1 = 2a + 7 = 503, a = 248

so n = 8, a = 248

Answer: The simplified sum is

Step-by-step explanation: we have

Answer:

[tex]7.14\times10^{12}[/tex]

Step-by-step explanation:

Given the following question:

[tex]3.4\times10^4\times2.1\times10^8[/tex]

In order to find the answer to this question we convert both scientific notations into standard form, multiply, and then convert back into scientific notation.

[tex]3.4\times10^4\times2.1\times10^8[/tex]
[tex]3.4\times10^4[/tex]
[tex]3.4\times10^4=3.4.0.0.0.=34000[/tex]
[tex]2.1\times10^8=2.1.0.0.0.0.0.0.0.=210000000[/tex]
[tex]34000\times210000000[/tex]
[tex]34000\times210000000=7140000000000[/tex]
[tex]7140000000000=7.14\times10^{12}[/tex]
[tex]7.14\times10^{12}[/tex]

Hope this helps.

Answer:

Your answer is 8/15.....

Answer:

D) $247.90

Step-by-step explanation:

[tex] \underline{\sf{y = 2.44x + 3.90}}[/tex]

y is the dependent function whereas x is the independent function.

(What does this mean?)

The values of y depend on the values of x, I.e., any change in the value of x causes a change in the value of y, meanwhile, the opposite doesn't happen.

The cost to print the invitation depends on the number of invitations, for real.

The question asks us to find the cost of printing 100 invitations.

Substituting x for 100:

y = (2.44 × 100) + 3.90

y = 244 + 3.90

y = 247.90

The value of y obtained for x = 100 is the cost of printing 100 invitations – $ 247.90

Step-by-step explanation:

A notable ______ of the symposium was the speech by a famous entrepreneur.

Answer:

That equals to 5x5x5 which 5x5x5  = 125

But the correct answer on that quiz is 1st I think

Step-by-step explanation:

Sorry if im wrong

Answer:

[tex]^+_-\frac{\sqrt{7}}{2}.[/tex]

Step-by-step explanation:

[tex]1.| \ sinx+cosx| =\sqrt{(sinx+cosx)^2}=\sqrt{sin^2x+2sinxcosx+cos^2x}=\sqrt{1+2sinxcosx};[/tex]

2) according to the item 1:

[tex]sinx+cosx=^+_-\sqrt{1+2*\frac{3}{8}} =^+_-\sqrt{\frac{7}{4}}=^+_-\frac{\sqrt{7} }{2}.[/tex]

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Explanation:

Split the graph into separate regions (see the diagram below)

The red trapezoid has the parallel vertical sides of b1 = 1 and b2 = 2. The height of the trapezoid is h = 2

The area of the red trapezoid is

A = h*(b1+b2)/2 = 2*(1+2)/2 = 3

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The blue rectangle has a horizontal side of 2 and vertical side of 2. Its area is 2*2 = 4 square units.

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The pink triangle has a base of 1 and height of 2

area = base*height/2 = 1*2/2 = 1 square unit

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The green triangle has an area of base*height/2 = 2*2/2 = 2 square units

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For any region above the x axis, it gets assigned a positive area. Anything below the x axis gets a negative area to counterbalance the positive areas.

The regions above the x axis add to 3+4+1 = 8 square units. Then we subtract off the area of the green triangle to get 8-2 = 6 square units.

Therefore,  [tex]\displaystyle \int_{0}^{7}f(x)dx = 6[/tex]

[tex]4 + 20 = 8d \\ \\ 8d = 24 \\ \\ d = \frac{24}{8} \\ \\ d = 3.[/tex]

The value of d is 3 .

Answer:

Hey, kevinlopez1225, your answer is Number one!

Astradele

The radical is 3sqrt(x^18)

18/2=9

so, the radical is

3x^9