7. A) The perimeter of a rectangle is the sum of the lengths of its four sides. Write an
expression for the perimeter of the rectangle and then evaluate when x = ½ foot.

B) The area of a rectangle is the product of its length and width. Write an expression
for the area of the rectangle and then evaluate when x = ½ feet.
**SHOW WORK!!**
x
3x+1
PERIMETER EXPRESSION:__________When x=1/2 foot :_________

AREA EXPRESSION:______________When x=1/2 foot :__________

If [tex]x = \frac{1}{r} +1[/tex]

We have:

[tex]xr + 2/3 = 2r\\ < = > xr - 2r = -2/3\\ < = > (x - 2)r = -2/3\\ < = > (1/r + 1 -2) r = -2/3\\ < = > (1/r - 1)r = -2/3\\ < = > (1/r)r - (1)r = -2/3\\ < = > 1 - r = -2/3\\ < = > r = 1 + 2/3 = 5/3[/tex]

ANSWER: r = 5/3 if x = 1/r + 1

Ok done. Thank to me :3

Answer:

  9) 1/42

  10) 1/14

Step-by-step explanation:

The probability of the compound event is the product of the probabilities of the parts. Note that the first draw (without replacement) modifies the probability of associated with the second draw.

5 is one of 7 tiles. After drawing 5, 6 is one of 6 tiles.

P(5 then 6) = P(5) × P(6 | 5) = 1/7 × 1/6 = 1/42

There are 3 odd tiles among the 7. After drawing one of them, 20 is one of 6 tiles.

P(odd then 20) = P(odd) × P(20 | odd) = 3/7 × 1/6 = 3/42 = 1/14

_____

Alternatively, you can consider the number of permutations of 2 tiles out of 7. That is P(7, 2) = 7!/(7-2)! = 7·6 = 42. Then the trick is to count how many of them will be the sequence of interest.

5 then 6: Among the 42 ways 2 tiles can be drawn, there is only one that is the required sequence: P(5,6) = 1/42.

odd then 20: There are 3 odd numbers, so the possible sequences of interest are (5,20), (7,20), (9,20). That is, there are 3 of 42 sequential draws that match the criteria. P(odd,20) = 3/42 = 1/14.

Yes, the Figure B is a scale copy of Figure A.

Given that are two figures we need to see if the Figure B a scale copy of Figure A or not.

To determine if Figure B is a scale copy of Figure A, we need to compare the two figures and check if they have the same shape but differ in size. A scale copy means that Figure B is an enlarged or reduced version of Figure A, but the proportions and shape of the two figures remain the same.

We see the side lengths of Figure A are: 6 units, 3 units, 3 units, 3 units, 6 units.

And that of Figure B are: 2 units, 1 unit, 1 unit, 1 unit, 2 units.

Taking the ratio = 6/2 = 3/1 = 3/1 = 3/1 = 6/2 = 3

So, it is clear that the side lengths are in equal proportion.

Hence the Figure B is a scale copy of Figure A.

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Answer:

ITS 3

Step-by-step explanation:

Answer:i think C or E!

Step-by-step explanation:

Answer:

Its either C or E, I'm not sure

Answer:

Three-fifths of the men in chemistry class have beards and two-thirds of the women have long hair. If there are 120 men in the class and 46 are not in the above groups, how many men and how many women are in the class?

Step-by-step explanation:

Ans :

Answer:

[tex]4^{2} = 4 x 4 =16[/tex]

Step-by-step explanation:

First of all we need to understand what a perfect square is:

It is an integer which is the square of another integer integer; in other words, it is the product of some integer with itself.

For example: 9, this is a square number since itt equals [tex]3^{2}[/tex] and 3x3 = 9

Answer:

224

Step-by-step explanation:

a = (bxh)/2

a = (28x16)/2

a = 448/2

a = 224

Answer:

224 Sq. units

Step-by-step explanation:

A=16x28= 448 sq

=448/2

=224 Sq. units

I hope it's right

Answer:

s = 36b

Step-by-step explanation:

252/7 = 36, so maximum of 36 students can fit in one bus. The equation is s = 36b.

Answer:

Step-by-step explanation:

101 squared not rational

-25 squared is rational

Answer:

Q1: C

Q2: F

Q3: C

Step-by-step explanation:

Question 7:

100(3+0.2)^2 -24

According to

P arenthesis

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

We must do the parenthesis first.

100 ( 3 . 2 ) ^ 2 - 24 =

Then exponent

100 * 10 . 24 - 24 =

then multiplication

1024 - 24 =

and finally subtraction

1000 (Option C)

________________________________________________________

Question 8:

Sqrt 50 = 7.07

Sqrt 60 = 7.75

7.07 + 7.75

14.81, which is between 14 and 15, answer choice F

________________________________________________________

Question 9:

A = 13

B = 13

C = 25+36 = 7.81

D = 13

Answer is C, which is the only one which is between positive integers 7 and 8.

Answer:

7) C. 1000

8) F. 14 and 15

9) C. [tex]\sf \sqrt{5^2 + 6^2}[/tex]

Explanation:

7.

⇒ 100(3 + 0.2)² - 24

⇒ 100(3.2)² - 24

⇒ 100(10.24) - 24

⇒ 1024- 24

⇒ 1000

8.

⇒ √50 + √60

⇒ [tex]\sf \sqrt{2 \ \times \ 5^2} + \sqrt{2^2\:\times\: 15}[/tex]

⇒ [tex]\sf 5\sqrt{2 } + 2\sqrt{ 15}[/tex]

⇒ 7.071 + 7.745966

⇒ 14.817

So, it lies between 14 and 15.

9.

A, B, D when simplified gives 11 as an answer.

When simplify C,

[tex]\sf \sqrt{5^2 + 6^2}[/tex]

[tex]\sf \sqrt{25 + 36}[/tex]

[tex]\sf \sqrt{61}[/tex]

[tex]\sf 7.8102396[/tex]

This value lies between 7 and 8.

9 inches

Let x be the length of the side of the square.

If the base of the triangle is 3 times as long as the side of the square, it is 3 times x, or 3x.

The same can be said for the legs, which is 1 inch more than twice the side of the square, so 2x + 1.

The triangle can therefore be thought to look like the triangle below.

The perimeter is therefore (2x+1) + (2x+1) + 3x, which is 7x + 2.

The sum of perimeters of both the square and triangle is 46.

The perimeter of the square is 4x, so the sum of perimeters is 4x + (7x+2), or  11x + 2.

11x + 2 = 46, so 11x = 44.

x is therefore 4

The leg is 2x + 1, so the leg is 8 + 1, so the length of the leg is 9 inches.

Answer:

-6

Step-by-step explanation:

your equation isnt in slope interecept form

y=mx+b

4=x/6-2 is what is see

so i would assume b is -6

1) [tex]\overline{UP}[/tex]

2) [tex]\overline{UP} \cong \overline{UP}[/tex]

3) [tex]\overline{UR}[/tex]

4) [tex]\overline{PR}[/tex]

5) [tex]\triangle OUP \cong \triangle RUP[/tex] by SSS

6) CPCTC

Answer:

It represents the height between Hank and Tim on the Mountain/ Or how much higher is Tim than Hank.

Step-by-step explanation:

Since Tim is higher than Hank on the Mountain, and he is on 33 above, and Hank is 126 feet below, this represents the height between Hank and Tim on the Mountain.

Answer:

Step-by-step explanation:

This expression involves the distributive property. In the distributive property, there is a number followed by an equation in parenthesis.

3(n+6)

To simplify it, you have to multiply the first number by each number in the parenthesis, separately:

3(n+6)

3n + 3(6) or 3xn + 3x6 (same thing)

3n+18

Finally, we can check the other 4 choices to double check.

A. 3n+6 (wrong)

B. 2(n+6) + (n+6)=

2xn + 2x6 + n + 6

2n + 12 + n + 6

combine like terms, or all the terms that are the same. start with the Ns, then the numbers:

2n+n + 12+6

3n+18

C. 2(n+6)+n= 2n+2(6) +n = 2n+12+n= 2n+n+12= 3n+12

D.3n+18

E. 2n+2+n+4= 2n+n+2+4= 3n+6

Answer= B and D

hope this helps :))

Answer: 3n+18 bcz of the distributive property

Step-by-step explanation:

b & d

Answer:

To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).

Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...

2^1

-----

2^1

Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...

2^1-1

...because of the quotient rule. And what does 1-1 equal? 0. So you'd get

2^0

This is known as the "zero-exponent rule!"

Hope this helped.

Step-by-step explanation:

Answer:

-22.5

Step-by-step explanation:

-15- |-7.5|

after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.

-15-7.5

=-22.5

The simplified expression -15 - |-7.5| is equal to -22.5.

To simplify the expression -15 - |-7.5|, we'll follow these steps:

Evaluate the absolute value: |-7.5|.

The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.

Substitute the absolute value into the expression:

-15 - 7.5.

Perform the subtraction:

-15 - 7.5 = -22.5.

Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.

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Answer:

I think D because it seems the most reasonable

Answer:

Step-by-step explanation:

n(U)=100%

n(S)=70%

n(W)=15%

n(S union w compliment)=20%

n(s intersection W)=?

n(u)=n(s)+ n(w)+ n(s union w compliment)- n(s intersection w)

or 100%=70% +15%+ 20% - n( s intersection w)

or 100%= 95%- n(s intersection w)

or 100%-95%=n(s intersection w)

or 5%= n( s intersection w)

now;

n(only w)=n(w)- n(s intersection w)

              =15%- 5%

               =10%

10%of people only like winter season.

i think the question is to find people who only like winter season.

if not then ans is 15% according to question.

a) The illustration of the given information in a Venn diagram is attached.

b) The percentage of people who liked both seasons is 45%.

c) If 180 people liked the summer season only, proportionately, the number of people who liked the winter season only is 300.

The Venn diagram, which shows similarities and contrasts, can be illustrated based on the given percentages.

Percentages are one of the ways to depict proportions, which are the equation of two ratios.

The percentage of survey people who liked the summer season = 60%

The percentage of survey people who liked the winter season = 70%

The percentage of survey people who liked none of the seasons = 15%

The percentage of participants who liked one of the seasons = 85% (100% - 15%)

The total percentage of survey people who liked either summer or winter = 130% (60% + 70%)

b) The percentage of survey people who liked both seasons = 45% (130% - 85%)

The percentage that liked only summer = 15% (60% - 45%)

The percentage that liked only winter = 25% (70% - 45%)

c) 180 people liked summer only

180 = 15%

Proportionately, if 180 = 15% of the people, the total number of people = 1,200 (180/15%)

The number of people who liked winter season only = 300 (1,200 x 25%)

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Answer: 2/3 π ³+ πr²(h-r)

Step-by-step explanation:

Answer:

18 is .20

19 is c+5 over 3

Step-by-step explanation:

18.

p= 4C 1 /4C1 * 5C1 = 4 / 4*5 = .20

19.

(3a - 5) / c = 1

3a - 5 = c

3a = c + 5

a = (c + 5) / 3

Answer:

.20   or   20%

Step-by-step explanation:

100 possible sets of two spin combos

  20 result in the desired 'next-door ' combo

       20/100 = .20   or 20 %

Step-by-step explanation:

As we know, for any function domain is referred to as the set of input values that can be taken for an independent variable in the given function. Range of a function is defined as the set of output values generated for the domain (input values) of the function. In the case of a step function, for each value of x, f(x) takes the value of the greatest integer, less than or equal to x. For example:

[-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

Hope the picture will help you......

Answer:

101 squared not rational

-25 squared is rational

pi or any number times pi is not rational

Step-by-step explanation:

Answer:  B, E, and F.

Step-by-step explanation: -$300 means negative 300 which is not a gain, it is a loss as negative numbers are losses. So A is wrong. +400 indeed is a gain as it is a positive and has an addition sign in front of it Using this knowledge we can see that besides B, only E and F are correct.