(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that
1000x - 100x = 3123.333… - 312.333…
==> 900x = 2811
==> x = 2811/900 = 937/300
(b) x = 4.38555… ==> 100x = 438.555… and 1000x = 4385.555…
==> 900x = 3947
==> x = 3947/900
(c) x = 37.222… ==> 10x = 372.222…
==> 9x = 335
==> x = 335/9
(d) x = 16.292929… ==> 100x = 1629.292929…
==> 99x = 1613
==> x = 1613/99
(e) x = 2.333… ==> 10x = 23.333…
==> 9x = 21
==> x = 21/9 = 7/3
Help Now Pleaseee!!!!
Find the volume of the sphere
Answer:
7235 using 3.14 for pi
7238 using the pi button
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 pi (12)^3
V = 2304pi
Letting pi = 3.14
V = 7234.56 and rounding to a whole number
V = 7235
Using the pi button
V =7238.22947 and rounding to a whole number
V = 7238
Answer: 7238
Step-by-step explanation:
The formula used is 4/3πr³
Now let's substitute the radius: 12
4/3πr³
=4/3×π×12³
=4/3×π×1728
=7238.22947
but since we are rounding it to the nearest whole number the answer would be 7238
What is the image point of (-8,9) after the transformation ry=-x
O
R90°?
Answer:
I believe it is (-8,-9)
Step-by-step explanation:
I plugged the line into desmos then did the rotation
Which pair of angles are corresponding angles?
Answer:
angles 3&7
Step-by-step explanation:
Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that
represents this situation.
a.) d-22 28; d 50
b.) d - 22 > 28; d > 50
c.) d + 22 s 28; d s 72
d.) d + 22 28; d 272
Hi there!
»»————- ★ ————-««
I believe your answer is:
d – 22 ≥ 28
d ≥ 50
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]
⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]
⸻⸻⸻⸻
[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The mass of the sun is 2.13525×10^30 kilograms. The mass of Mercury is 3.285×10^23 kilograms.
How many times greater is the mass of the sun than the mass of Mercury?
Type your answer in scientific notation form.
Answer:
The mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.
Step-by-step explanation:
We are given that
Mass of the sun=[tex]M=2.13525\times 10^{30}[/tex] kg
Mass of Mercury, [tex]m=3.285\times 10^{23}[/tex]kg
We have to find how many times greater is the mass of the sun than the mass of Mercury.
Mass of sun/Mass of mercury=[tex]\frac{2.13525\times 10^{30}}{3.285\times 10^{23}}[/tex]
Mass of sun/Mass of mercury[tex]=0.65\times 10^{30-23}[/tex]
Using the property
[tex]a^x/a^y=a^{x-y}[/tex]
Mass of sun/Mass of mercury[tex]=0.65\times 10^{7}[/tex]
Mass of sun/Mass of mercury[tex]=65\times 10^5[/tex]
Mass of Sun=[tex]65\times 10^5[/tex] times Mass of Mercury
Hence, the mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.
What’s the rate of change in this question y=0.860x+3.302
Answer:
The equation is in a linear form, which means its in y=mx + b
M is the slope.
Slope is a fancy word for rate of change.
Therefore, the slope/rate of change is...
.860
if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab
Answer:
B. ab+ac=d
Step-by-step explanation:
Answer:
ab + ac = d
Step-by-step explanation:
a(b+c)=d
Distribute the a
ab + ac = d
18. Mario rented a raft from River Rafter's Inc. He paid $100 to rent and
$25 for every hour. Carlos rented a raft from Oscar's Outdoor Shop. He
paid $50 to rent and $35 per hour. For what number of hours will both
rafting companies charge the same amount?
0
4
5
010
Answer:
5 hours
Step-by-step explanation:
The charge will be the same when what they pay is equal
100 + 25*number of hours = 50 +35 * number of hours
let number of hours =h
100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides
100-50 = 35h -25h, combine like terms
50 = 10h , divide by 10 both sides
5 = h , in 5 hours the companies will charge the same amount
what is the measure of m?
Answer:
[tex]n^{2} +18^{2} =x^{2}[/tex]
[tex]6^{2} +x^{2} =m^{2}[/tex]
[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]
[tex]m^{2} =n^{2} +360[/tex]
[tex]n^{2} +36=m^{2}[/tex]
[tex]m=15[/tex]
OAmalOHopeO
.
For the following, represent the sample space in set notation and state how many outcomes are
possible.
1. A bag contains 3 blue marbles, 2 red marbles, and 4 green marbles. You draw one marble.
Answer:
Step-by-step explanation:
the sample space is the set that contain all possible outcomes
B-blue, R-red, G-green
sample space is {B,B,B,R,R,G,G,G,G}
so there are 9 possible outcomes
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.
Answer:
Step-by-step explanation:
I don't see Wen's work, but I'll show you mine!
We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.
At time 0, the temp is 0: (0, 0)
5.75 hours late, the temp is -15.5: (5.75, -15.5)
We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.
[tex]m=\frac{-15.5-0}{5.75-0}=\frac{-15.5}{5.75}=-2.7[/tex] That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.
Answer:
- 2 16/23 degrees / hr
Step-by-step explanation:
15 1/2 = 31/2
5 3/4 = 23/4
31/2 ÷ 23/4 =
31/2 × 4/23 = 124/46 = 62/23 = 2 16/23
Mrs. Fox made $176.50 in three hours. How much did she make in one hour?
Answer:
58.83
Step-by-step explanation:
176.50 ÷ 3 = 58.83333
round down
Answer:
In explanation.
Step-by-step explanation:
If we know that Mrs.Fox makes a consitant rate .
meaning if you divide 176.50 by 3
you get 58.833333 but since money can only go up to two decimal places,
we round and get 58.83 dollars per hour.
Out of 100 students in a school, 42 take English, 35 take Chinese and 30 take French. 20 take none of the subjects, 9 take French and English, 10 take French and Chinese, 11 take English and Chinese. Find the number of students who take 3 subjects?
Answer:
1 student
Step-by-step explanation:
From the Vann diagram attached below,
Let x represent the number of students who took 3 subjects.
Therefore,
100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20
100 = 22-x+11+x+9+10+14-x+11-x+20
100 = 97-2x
2x = 100-97
2x = 3
x = 3/2.
x = 1.5
x = 1 student
Anybody knows the answers to the monomial functions ?
Step-by-step explanation:
A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).
Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?
Step-by-step explanation:
3x+6=18
3x=18-6
3x=12
x=4
help!! need to find the area
Answer:
10*5 +2(2*2)
50+8
58
Step-by-step explanation:
Answer:
58 units
Step-by-step explanation:
Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?
Let s be the plane's speed in still air and w the wind speed. Then
s - w = (6060 km)/(6 h) = 1010 km/h
s + w = (12,150 km)/(9 h) = 1350 km/h
Adding these equations together eliminates w and lets you solve for s :
(s - w) + (s + w) = 1010 km/h + 1350 km/h
2s = 2360 km/h
s = 1180 km/h
Your local clothing
store is having a sale
of 50% off on all
purchases. You
bought 2 shirts for $10
each and 1 pair of
pants for $15. What
was your final total
after the discount?
10x2=20
20+15=35
35÷2=17.5
The range of a sequence consists of________.
A. functions
B. terms in the sequences
C. negative numbers
D. natural numbers
Answer:
B. terms in sequences
Step-by-step explanation:
When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.
OPTION B is correct.
The range of a sequence consists of terms in the sequences.
We have a statement the range of a sequence consists of.
We have to find which of the given options is a constituent of range of sequence.
What is a sequence?A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.
Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.
Hence, the range of sequence consists of terms of sequence.
To understand more about sequence, visit the link below -
brainly.com/question/21961097
#SPJ2
find the common difference in the linear sequence sequence 69,53,47,30
Please help with the question
please answer this question and attach a photo of your solution
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}[/tex] .
Use distributive property.
[tex]\frac{1}{2}ab*(3a^{2}-5b^{2}a+10a^{2}b)=\frac{1}{2}ab*3a^{2}-\frac{1}{2}ab*5b^{2}a+\frac{1}{2}ab*10a^{2}b\\\\\\[/tex]
[tex]=\frac{3}{2}a^{1+2}b -\frac{5}{2}a^{1+1}*b^{1+2}+5*a^{1+2}*b^{1+1}\\\\\\=\frac{3}{2}a^{3}b-\frac{5}{2}a^{2}b^{3}+5a^{3}b^{2}[/tex]
HELP ASAPPPP NOWWW PLEASEEE
Answer:
1. x=1
2. x=0
Download gauthmath and it will help
What is the simplified form of each expression?
a. (6 + 3)2 − 4
b. 23 + (14 − 4) ÷ 2
A. a. 77
b. 13
B. a. 77
b. 9
C. a. 14
b. 13
D. a. 14
b. 9
Answer:
These kind of questions are called simply.
According to simply, there's a rule of solving which is BODMAS.
BODMAS stand for bracket of Divide, Multiple, Add, Subtraction.
(6+3)2-4> (9)2-4
> 18-4
> 16
• (6+3)2-4 = 16
2. 23+(14-4)÷2
> 23+10÷2
> 23+5
> 28
• 23+(14-4)÷2 = 28
Step-by-step explanation:
Hope it helps you
Select the correct answer from each drop-down menu.
Drew is filing his tax return as single taxpayer. His taxable income is $39,000. Use the tax table provided to compute Drew's tax due and
effective tax rate.
Single Taxpayers: Income Brackets
Tax Income
Tax Owed
Rate Bracket
1096 O to 9,525 10% of taxable income
9,526 to $952.50 plus 12% of
1296
38,700 the excess over $9,525
$4,453.50 plus 22% of
2296
38,701 to
the excess over
82.500
$38,700
$14,089.50 plus 2496
82.501 to
2496
of the excess over
157.500
$82.500
$32,089.50 plus 3296
157.501 to
3296
of the excess over
200,000
$157.500
$45,689.50 plus 3596
200,001 to
3596
of the excess over
500,000
$200,000
$150,689.50 plus 3796
3796 > 500,000 of the excess over
55
The given tax rates are as follows:
Single Taxpayers: Income Brackets
Tax Income Rate Bracket Tax Owed
O to 9,525 10% 10% of taxable income
9,526 to38,700 12% $952.50 plus 12% of 38,700 the excess over
$38,701 to 82,500 22 % $4,453.50 plus 22% of 38,701 the excess over
82,501 to 157,500 24% $14,089.50 plus 24% of the excess over
157,500
157,501 to 200,000 32% $ 32089.50 plus 32% of the excess over
200,001 to 500,000 35% 45,689.50 plus 35% of the excess over
500,000 > 37% $150,689.50 plus 37% of 500,000 of the
excess over
The taxable income lies in the tax rate range of $38,701 to 82,500.
Therefore the tax would be
$4,453.50 + 22% of (39,000-38,701=299)
$4,453.50 + 22% of 299
$4,453.50 + 65.78
= $ 4519.28
The taxable income lies in the tax rate range of $38,701 to 82,500.
Due and effective tax rate is $4,453.50 plus 22% of 38,701 the excess over
The calculated tax is $ 4519.28
https://brainly.com/question/1105919
https://brainly.com/question/1160723
Answer:
$4,519.50 and 22%
Step-by-step explanation:
i got it right
Q 14. Two friends Tina and Reeta simplified two different expressions during the revision
hour and explained toeach other their simplifications,
V2
Tina explains simplification of Torta by rationalising the denominator and Reeta
explains simplifications of (72 + V3) (12 - 13) by using identity,
i)
Vz
By rationalising the denominator of
Tina got
VSV
vz
a)
c) V5 – 13
b) V7(13-va)
d)
Vic+V5)
2
ii)
Reeta apply
a) (a+b)
identity to simplify(V2 + 13) (12 – 73).
b) (a-b)?
c) (x+a) (x+b) d) (a+b)(a-b)
iii)
(12 + V3) (72 - 73) =
a) 5 b) (74 + 6
c) 1
d) -1
iv)
All the rational and irrational numbers make up the collection of
numbers.
a) Whole numbers
b) Integers
b) c) Real Numbers
d) Irrational Numbers
please help me asap
(geometry)
Answer:
x is ten
Step-by-step explanation:
9 times ten is 90, then minus 40 is 50, and 3 times ten is 30, plus 20 is 50
Which set of ordered pairs could be generated by an exponential function?
(negative 1, negative one-half), (0, 0), (1, one-half), (2, 1)
(–1, –1), (0, 0), (1, 1), (2, 8)
(negative 1, one-half), (0, 1), (1, 2), (2, 4)
(–1, 1), (0, 0), (1, 1), (2, 4)
Answer:
(–1, –1), (0, 0), (1, 1), (2, 8) (y = x^2)
(–1, 1), (0, 0), (1, 1), (2, 4) (y = x^3)
Answer:
C
Step-by-step explanation:
Find P(blue and even).
A. 3/5
B. 1/10
c. 7/10
Answer: A. 3/5
Step-by-step explanation:
Assuming that they are colorful blocks,
There are in total 10 blocksThere are in total 2 blue blocksThere are in total 5 even blocksBlue blocks: 1, 2
Even blocks: 2, 4, 6, 8, 10
The net total of blue and even blocks:
2 + 5 = 7 blocksHowever, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.
7 - 1 = 6 blocksWe analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:
6/10 = 3/5Hope this helps!! :)
Please let me know if you have any questions
What value of x will make the equation true?
(Square Root of 5) (square root of 5)=x
Answer:
(2.236067978)(2.236067978)
=5 ans.
If this is incorrect forgive me
I hope this will help you
stay safe
