Step-by-step explanation:
(12) in base 8
= (1 * 8¹ + 2 * 8⁰) in base 10
= (8 + 2) in base 10
= 10 in base 10.
(117) in base 8
= (1 * 8² + 1 * 8¹ + 7 * 8⁰) in base 10
= (64 + 8 + 7) in base 10
= 79 in base 10.
Using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.
What is octal numeral system?Octal numeral system has "a base of 8 and uses the number from 0 to 7".
According to the question,
a) (12)₈
= (1 * 8¹ + 2 * 8⁰)₁₀
= (8 + 2)₁₀
= 10₁₀.
b) (117)₈
= (1 * 8² + 1 * 8¹ + 7 * 8⁰)₁₀
= (64 + 8 + 7)₁₀
= (79)₁₀
Hence, using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.
Learn more about octal numeral system here
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Which of the following is equivalent to 3(y−1+2y)?
On a certain hot summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that day?
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.
write 6.04x10^3 as an ordinary number
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
I need this answered!
Simplify the following expression:
5s + 72 - 6
use s = -8 and z = -3
I Record your answer in this box:
Answer:
I believe its -82
Step-by-step explanation:
5 × -8 + 7 × -3 = -82
Select all that are equal to 5^3• 5^-7
Answer: its b and c
Step-by-step explanation:
Help me please. I'll give Brainliest.
Evaluate the expression below at x = 6.
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
54 divived by 32 i really need this help!
Answer:
1.6875
Step-by-step explanation:
help me yall like sis
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 :)
Manuel opened a savings account with an initial balance. Each week he adds $20 to the account. After 6 weeks he has $170 in the account.
Find and interpret the rate of change and the initial value.
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
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)
Help! I don’t know if I’m right
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.
Derek is selecting a sock from his drawer .He chooses a sock at random and then selects a second sock at random .what is the probability that Derek selected a striped sock both times
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
What would the temperature be on a hot day?
A.35°C
B.32
C.10°C
D.0°F
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.
Which statement about stratified random sampling is true? A stratified random sample is a combination of simple random samples selected from each of several strata. A stratified random sample is formed by selecting one stratum from a simple random sample of the population. A selection of every 3rd person from an alphabetical list of a population forms a stratified random sample. A stratified random sample consists of choosing several strata, and each stratum is representative of the entire population.
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:
Ellis is counting license plates while her family is on a road trip. She has counted 111 plates each from 8 different states. Estimate how many license plates Ellis has counted in all. Round the larger factor to the nearest hundred to estimate.
Answer: 880
Step-by-step explanation: 111 to the nearest hundred is 110 x 8= 880
I'm just struggling a lot with missing angles any help would be great
The 2th term of The A.P is 7 and 4th term is 28 Find The Common difference and The first term.
help me please
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
In a certain Algebra 2 class of 29 students, 17 of them play basketball and 6 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
50
Step-by-step explanation:
I'm stumped on how to do this, it's worth 10 points and I'll give you Brainliest if you answer right
Maria creates a sequence of integers where the first and second terms are both 1. At each step she adds the last two terms she has obtained. If the sum is less than 9, then she enters that sum as her new term. Otherwise she subtracts 8 from the sum and records that. Her sequence therefore starts 1, 1, 2, 3, 5, 8, 5, 5, . . . Find the 2020th term in the sequence.
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
The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.
Answer:
hi deez
Step-by-step explanation:
Change 61.5 km into metres.
Answer:
61500m
Step-by-step explanation:
To convert km into m, multiply by 1000
Answer:
61500metres.
hope it helps.
PLEASE DUE IN 5 MIN
Charlie is trying to choose between two bike rental companies, Jokes and Spokes and Wheeling. Jokes and Spokes charges $25 initial fee and an additional $5 for each hour rented. Wheeling charges an initial fee of $18 and an additional $6 for each hour rented.
The total cost to rent a bike from Jokes and Spokes can be represented by the equation c = 5h + 25, where h represents the number of hours rented and y represented the cost in dollars.
The total cost to rent a bike from Wheeling can be represented by the equation c = 6h +18, where h represents the number of hours rented and y represented the cost in dollars.
For how many hours of rental is the amount charged by the two companies the same? What is the cost, in dollars, of renting the bike for this many hours?
7 hours and $60
Step-by-step explanation:
25+5x7=60 and 18+6x7=60
Graph 3x + 4y < 24
Please I need it now
type your equation into the desmos app and you can see the answer
Hope it helps :)
↓Graph Provided Below↓
What is the range of the function graphed below?
A. -2
B. -∞
C. -∞
D. -∞
help me pleaseee will give brainliest
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°
:-))
Solve the system... I will mark you brainliest!!!!!!
Answer:
(2,4),(−1,1)
Step-by-step explanation:
Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answer:
B
Step-by-step explanation:
The other are equal
x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)
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
what is 4x + 9 + 10 divided by 12
Answer:
4x+59/6
Step-by-step explanation:
Answer:
4x + 19
------------
12