Multiple Choice
What are the perimeter and area of a rectangle with a length of 20 in. and a width of 15 in.?
o A. P= 35 in., A = 300 in.2
O B. P = 70 in., A = 300 in.2
o C. P = 300 in., A = 70 in.2
o D. P = 35 in., A = 200 in.2

Answer:

They are all correct.

Step-by-step explanation:

1.

1/2(b)(h)

1/2(4)(6)

1/2(24)

12

2. l x w

7 x 5

35

3. (b)(h)

(8)(4)

32

Answer:

C

Step-by-step explanation:

What is the lowest common multiple

6 = 2 * 3

8 = 2 * 2 * 2

LCM = 2 * 2 * 2 * 3

LCM = 24

So you just divide 6 and 8 into 24. The result will be the number of packages.

Cups: 24/6 = 4

Plates: 24/8 = 3

You need 4 packs of cups and 3 of plates

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

. -6x - 2(0) = - 18. -6x = -18. x = 3 Tht

Answer:

x=5

Step-by-step explanation:

0=15-3x, then -15=-3x, divide the -15 by-3 and the answer is x=5

Answer:

1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges

Step-by-step explanation:

In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius

The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]

1) The radius is r = 4 which is greater than one so it Diverges.

2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.

3) The radius is 0.5 which is less than 1 so it Converges.

4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.

5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.

The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.

6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.

7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.

to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]

8) plug in given information

[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]

9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.

Hopefully the work I did was right. Have a good one!

Answer:

a. rational

b. irrational

c. irrational

d. rational

e. rational

f. rational

plz mark me as brainliest

[tex] 1)\displaystyle{} \: \sqrt{4} = \sqrt{2 \times 2} = \sqrt{2} \\ \: \: \: \bold{irrational \: number}[/tex]

[tex]2) \displaystyle{} \: \sqrt{3} = \bold{irrational \: number}[/tex]

[tex] \sqrt{7} \: \: = \bold{irrational \: number}[/tex]

[tex] 3) \: \: \displaystyle \frac{3}{5} \bold{irrational \: number}[/tex]

[tex] \displaystyle \: \frac{3}{5} \: \bold{rational \: number}[/tex]

[tex] \displaystyle{}\frac{1}{4} \bold{rational \: number}[/tex]

[tex] \displaystyle{} \: - 2.57 \: \bold{rational \: number}[/tex]

Note - if digit have root ( radical sign ) so number is irrational but digit have do not radical sign so number is rational.

Answer:

x=56º

Step-by-step explanation:

The cube tells us that 34º and x must equal 90º

So we use what we know to find the missing piece

90º=34º+x

-34º -34º

56º=x

Answer:56

Step-by-step explanation:90+34+x=180 because triangles angels sums up to 180 degrees

180-124=x

56=x

Answer:

it's 423.4 miles

Step-by-step explanation:

sotry for taking a while I didn't get your notification

Answer:

because cfd eaquls a+b lllllllllll

Answer:

Step-by-step explanation:

IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.

Answer:

Is that your answer

Answer:

123.90

Step-by-step explanation:

1 Hectogram = 0.22 lbs

[tex]562*0.22=123.90\\[/tex]

Answer:

x=158

Step-by-step explanation:

109=-x+267

-267     -267

-158=-x

x=158

(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)

Answer: cockme

Step-by-step explanation:

cockme

Answer:25 if your looking for the number of ways to order 5 objects

Step-by-step explanation:

If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps

Answer:

33.27

Step-by-step explanation:

27.27 + (4 + 2)

You always perform the parenthesis first.

27.27 + 6

Then you add 6.

33.27

Answer:

Yes, result is significant ; PVALUE < α

Step-by-step explanation:

Given :

x = 536

n = sample size = 1012

Phat = x / n = 536 / 1012 = 0.5296 = 0.53

H0 : P0 = 0.5

H1 : P0 > 0.5

Test statistic :

(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]

1-P0 = 1 - 0.5 = 0.5

(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]

0.03 ÷ 0.0157173

= 1.9087

Pvalue :

Using the Pvalue from test statistic :

Pvalue = 0.02815

To test if result is significant :

α = 0.05

0.02815 < 0.05

Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.

Answer:

honestly this was the only thing i was ever good at in math.

its kinda fun cuz its like puzzle solving.

Answer:

The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.

Step-by-step explanation:

In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.

Please like and mark brainliest!

Hope it helps!

Answer:

10 h 55 min

Step-by-step explanation:

13 h 10 - 2h = 11 h 10

11 h 10 - 15 min = 10 h 55 min

5% of 40,000 is 2,000

Answer:

(1) 13.0 years

(2) [tex]y^{3} =[/tex] {-1728, 1728}

Step-by-step explanation:

(1)

Compound annually:

[tex]Pe^{rt}[/tex] = A

(47000)[tex]e^{(0.04)(t)}[/tex] = 79200

[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]

ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])

ln and e cancel out.

(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])

t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]

t = 13.0 years

(2)

[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]

Substitute y with -4x.

[tex]x^{2} + (-4x)^{2} = 153[/tex]

Solve for x.

x = {-3, 3}

Plug in x values into any equation to find y.

y = -4(-3) and y = -4(3)

y = {-12, 12}

[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728

[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728

Answer:

13.3    

Step-by-step explanation:

I got it right  

9514 1404 393

Answer:

  12 square inches

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

Here, the base is 6 inches and the height is given as 4 inches. Then the area is ...

  A = (1/2)(6 in)(4 in) = 12 in²

The area of the triangle is 12 square inches.

_____

Comment on the problem

Since you are given the base and height, we presume you are intended to use the formula above. You are also given all three side lengths. If you use the appropriate formula with those, you find the area is about 15.6 square inches. (The height of this triangle is actually closer to 5.2 inches.)

The figure represents a geometry that cannot exist. With the given base and height, the side lengths should be 5, not 6.

⬇ Hey bud! I really respect you because you need the answer. Anyways, the answer will be down below! :) ⬇

Answer:

0.20(15+x)=6

Step-by-step explanation:

(0.20)(15) + 0.20x = 6

3 + 0.20x = 6

0.20x = 3

x = 3/0.20

x = 15

Rob's Iunch was $15.

Check it:  

15+15=30  

30x0.20=6

Please mark be brainliest once a second person answers! As I'm trying to move up to Genius and recover my points and brainliest's! It will always be appreciated. If you need any help comment down below so I can help you! Have a great day! :D

Answer:

A

Step-by-step explanation:

Answer:

2.9375 inches or 2 15/16"

Step-by-step explanation:

23 1/2 feet equals 282 inches

(1/8 ÷ 12) = (x ÷ 282)

cross-multiply:

35.25 = 12x

x = 2.9375 or 2 15/16 inches

1-1/6-1/9=3/18

I hope it's correct:))

Answer:

B. Straight angles

Step-by-step explanation:

When combined, they form a straight line. They are also supplementary angles. When added together, they = 180 degrees.

Answer:

C. Alternate interior angles

Step-by-step explanation: