The octal numeral system is a base 8 positional system that uses the symbols 0,1,2,3,4,5,6,7. Write each base 8 number as a base 10 number. 12 and 117

Answer: 219 children and 72 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children , y= Number of adults.

As per given,  x+y = 291      (i)

1.5x+2y = 472.50         (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582  (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.

Answer:

A. 35°C.

Step-by-step explanation:

35 C (Celsius), converted to F (Fahrenheit), would be 95. Which would make it a hot day.

So, you answer is 35°c.

Answer:

B

Step-by-step explanation:

when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².

Answer:

1.6875

Step-by-step explanation:

Answer:

6040

Step-by-step explanation:

You can find out in two different ways, either use scientific notation or a calculator. If you go 3 steps to the right (since it's a positive power) you will get 6040. Hope this helped. :)

Answer:

hmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

hmmmmmmmmmmmmmmmmmmmmm

Answer:

50

Step-by-step explanation:

Answer:

61500m

Step-by-step explanation:

To convert km into m, multiply by 1000

Answer:

61500metres.

hope it helps.

Answer:

I believe its -82

Step-by-step explanation:

5 × -8 + 7 × -3 = -82

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

Answer: 880

Step-by-step explanation: 111 to the nearest hundred is 110 x 8= 880

Answer:

64

Step-by-step explanation:

[tex](6+1/3x)^2[/tex]

Lets first substitute x into the equation:

[tex](6+1/3[6])^2[/tex]

1/3 times 6 = 2

[tex](6+2)^{2}[/tex]

[tex]8^{2}[/tex]

Which equals 64

Answer:

B

Step-by-step explanation:

The other are equal

Answer:

x= -74 or -84

Step-by-step explanation:

x^2+3x+37=-7x

x^2+3x+7x+37=0

x^2+10x+37=0

this convert to following

[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]

-b= -(10), a= 1, c =37

according to that

x= -74 or x= -84

Answer:

(2,4),(−1,1)

Step-by-step explanation:

Answer:

4x+59/6

Step-by-step explanation:

Answer:

4x + 19

------------

   12

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

Answer: 1/15

Step-by-step explanation:

The number of striped socks is 2 while the number of total socks are 6. If he chooses a striped socks at first, that will be 2/6.

If he chooses it the second time, the probability will be 1/5 since there'll be 5 socks left and 1 striped.

The probability that Derek selected a striped sock both times will be:

= 2/6 × 1/5.

= 2/30

= 1/15

Answer:

d = 10.5, a₁ = - 3.5

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 7 and a₄ = 28 , then

a₁ + d = 7 → (1)

a₁ + 3d = 28 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 21 ( divide both sides by 2 )

d = 10.5 ← common difference

Substitute d = 10.5 into (1)

a₁ + 10.5 = 7 ( subtract 10.5 from both sides )

a₁ = - 3.5 ← first term

Answer:

A. A stratified random sample is a combination of simple random samples selected from each of several strata.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Convenience sampling.

3. Systematic sampling.

4. Cluster sampling.

5. Stratified sampling.

Stratified random sampling can be defined as a method of sampling that involves dividing a population into smaller groups known as strata.

In stratified random sampling, the strata are formed based on member's shared characteristics (e.g female or male, occupation, education) or attribute (e.g black or white).

Hence, the statement about stratified random sampling which is true is that, a stratified random sample is a combination of simple random samples selected from each of several strata.

Answer:

A

Step-by-step explanation:

type your equation into the desmos app and you can see the answer

Hope it helps :)

↓Graph Provided Below↓

Answer:

hi deez

Step-by-step explanation:

7 hours and $60

Step-by-step explanation:

25+5x7=60 and 18+6x7=60

Answer:

The 2020th term is 3

Step-by-step explanation:

Recursive Sequence

We are given a recursive and conditional sequence where each term depends on two previous terms and a rule.

Each term is the sum of the two previous terms. But if that sum exceeds 8, then 8 is subtracted.

The first terms are, therefore:

1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, 1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, ....

Note the sequence repeats itself at term 13, that is:

a13=a1, a14=a2, a15=a3 and so on.

To find any given term, it's just a matter of calculating the remainder of that number of the term divided by 12.

For example, the term number 100 is calculated by dividing 100/12=8 (only the integer part).

Since 8*12=96, the remainder is 100-96=4

Thus, a100=a4=3

The term 2020 is calculated now:

2020/12 = 168 (integer only)

168*12=2016

The remainder is 2020-2016=4, thus

a2020 = a4 = 3

The 2020th term is 3

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

Answer: its b and c

Step-by-step explanation: