20,000 ten thousand equals 2000 Hundred thousand.
As per the question statement, we are provided with a value: "20,000 ten thousand".
We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.
To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, [tex](20000*10,000)=200000000[/tex].
As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.
Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as [tex](100,000*x)=200000000[/tex]
[tex]or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000[/tex]
Hence, 20,000 ten thousands equals 2000 Hundred thousands.
Linear Equation: linear equations: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.Variable: n Mathematics, a variable is a symbol or a representative of a value, which is unknown.To learn more about Linear Equations, click on the link below.brainly.com/question/27664510
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what is 2 1/3+ 5 5/16+ 2/7
Answer: 7.93
Step-by-step explanation: I am not sure if this is correct but I really hope it helps.
if the lesser of two consecutive even integers is tripled, the result is 20 more than twice the greater integer. find the two integers.
Answer: 24, 26
Step-by-step explanation:
a=first even number. b=second even number
a=b-2
a*3=b*2+20
(b-2)*3=2b+20
3(b-2)=2b+20
3b-6=2b+20
b-6=20
b=26
a=b-2
a=26-2
a=24
24, 26
Answer:
mark me please
Explanation:
If the lesser of two consecutive even integers is tripled, the result is 20 more than twice the grater integer. find the two integers
let the numbers be x & x+2
3x=20+2(x+2)
3x=20+2x+4
3x-2x=24
x=24
The integers are 24 & 26
Divide. 22 divided 8956 Enter your answer in the boxes as a mixed number in simplest form.
I'm going to assume you meant 89/56 and not 8965 due to the fact you are asking for a mixed number answer.
[tex]=\frac{22}{1}\div \frac{89}{56}[/tex]
[tex]=\frac{22}{1}\times \frac{56}{89}[/tex] <- Apply the fraction rule [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]\frac{22\times \:56}{1\times \:89}[/tex] <- Apply the fraction rule [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{1232}{1\times \:89}[/tex]
[tex]=\frac{1232}{89}[/tex]
[tex]13 \frac{75}{89}[/tex] <- Convert to mixed number and there is your final answer
____________________________________________________
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A recipe calls for 4 boxes of rice to serve 13 people.
If you want to serve 39 people, what should you do?
CLEAR CHECK
Answer:
Use 12 boxes of rice
Step-by-step explanation:
4/13 becomes x/39
to get from 13 to 39 you multiply 13 by 3 so you do the same to 4
3*4 is 12
Can someone help me I will make u brilliant
Answer: R'=(6, -2)
S=(-6,9) ==> S'=(6, -9)
T=(-5,9) ==> T'=(5, -9)
U=(-5,2) ==> U'=(5, -2)
Step-by-step explanation:
When rotated around the origin by 180 degrees, the rectangle will have all its coordinates' x and y values negated.
R=(-6, 2) ==> R'=(6, -2)
S=(-6,9) ==> S'=(6, -9)
T=(-5,9) ==> T'=(5, -9)
U=(-5,2) ==> U'=(5, -2)
It is 29.6°C at sea level. The environmental lapse rate between sea level and 1500 meters is 5.5 °C/1000m.
The environmental lapse rate between 1500 meters and 4000 meters is 12.1°C/1000m. The normal lapse rate
exists above 4000 meters. What will the temperature be at 6000 meters? Calculate your answer to one
decimal point.
The temperature at 6000 meters would be -21.9°C.
The lapse Rate refers to the rate of decline in air temperature with relation to increase in altitude.
Here, the lapse Rate is given as follows-
for 0-1500 meters: 5.5 °C/1000m
for 1500-4000 meters: 12.1°C/1000m.
and above 4000 meters: normal lapse rate
The Normal lapse Rate is 6.5°C per 1000 meters.
Now,
surface temperature at sea level = 29.6°C
the decline in temperature up to 1500m would be-
5.5°C/1000×1500 = 8.25°C
So the temperature at 1500 meter is 29.6 - 8.25 = 21.35°C
Further, the decline in temperature up to 4000m would be-
12.1°C/1000×2500= 30.25°C
So Temperature at 4000 meters is 21.35 - 30.25 = -8.9°C
Now, above 4000 meters, decline in temperature would be-
6.5°C/1000×2000= 13°C
So temperature at 6000 meters would be
-8.9°C - 13°C = -21.9°C
Thus, the temperature at 6000 meters would be -21.9°C
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(100 points) HELP ME NOW!!!! NOOOOW!!!!! OR ELSE UR GONNA BE SUPER DUPER SORRY >:)
unit 2: equations and inequalities/ homework 11: compound inequalities
what is 230,981,762 and 167,983,657 gratest common factores
Answer: I'm sure it is just 1
What is the domain and range of this function
which one does not belong 4/6, 8/14, 12/18, 6/9
ratios and rates
Answer:
8/14
Step-by-step explanation:
All of the other ratios can be simplified to 2/3
What is the product of (−4)(16) • (−7)?
Answer:448
Step-by-step explanation:None
Answer:
448
Step-by-step explanation:
(-4 × 16)×(-7)
(-64)×(-7)
448
Solve for x:
A) 27
C) 39
E) 30
79⁰
(2x+1)
B) 23
D) 35
Answer:
C 39
Step-by-step explanation:
took the test
What is the equation of the parabola with focus (0,7) and directrix y = 1?
The equation of the parabola with the given focus and directrix is x² = 12( y - 4 ).
What is the equation of the parabola with the given focus and directrix?Since the directrix y = 1, it shows it is vertical, so we use the equation of the parabola that opens up or down.
( x - h )² = 4p( y - k )
Given the data in the question;
Focus: (0,7)directrix y = 1First, we determine the vertex.
The vertex ( h,k ) is half way between the directrix and the focus.
Find the y-coordinate of the vertex using;
y = ( y-coordinate of focus + directrix )/2
y = (7+1)/2 = 8/2 = 4
The x-coordinate of the vertex is the same as that of the focus 0
Hence, the vertex is ( 0,4 )
Next, we determine the distance p from the focus to the vertex.
p = y-coordinate of focus - y-coordinate of vertex
p = 7 - 4
p = 3
Now, plug the known values into the equation and simplify
( x - h )² = 4p( y - k )
( x - 0 )² = 4(3)( y - 4 )
x² = 12( y - 4 )
Therefore, the equation of the parabola with the given focus and directrix is x² = 12( y - 4 ).
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Use inductive reasoning to find the next two terms in the sequence. What are the next two terms?
3/4, 2/3, 5/8, 3/5 …
by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.
We are given a sequence:
3 / 4, 2 / 3, 5 / 8, 3 / 5
We need to find the next two terms by using the inductive reasoning.
Now, we can also write this sequence as:
3 / 4, 4 / 6, 5 / 8, 6 / 10
Now, we can see that, in each term, the numerator is increasing by 1 and the denominator is increasing by 2 units.
So, the 5th term will be:
Numerator = 6+ 1 = 7
Denominator = 10 + 2 = 12
5th term = 7 / 12
And the 6th term will be:
Numerator = 7 + 1 = 8
Denominator = 12 + 2 = 14
6th term = 8 / 14 = 4 / 7
Therefore, by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.
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Helppppppp pls i will give brain list
Answer: three seven and two
Step-by-step explanation:
Laine reads 200 pages in 240 minutes.
If Laine reads 25 pages at the same rate, how long will it take her?
Laine will take 30 minutes to read 25 pages.
Given Laine reads 200 pages in 240 minutes.
We need to find the time taken to read 25 pages, if Laine reads at the same rate.
First, let us find out the time taken to read one page.
240 minutes are taken to read 200 pages
This implies that the time taken to read 1 page = 240/200 minutes
This implies that the time taken to read 1 page = 6/5 minutes
Therefore, the time taken for 25 pages = 25 ×(6/5) minutes
⇒ The time taken for 25 pages = 30 minutes
Hence, Laine will read 25 pages in 30 minutes, if she reads 200 pages in 240 minutes.
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The price of an item yesterday was 85 . Today, the price rose to 136. Find the percentage increase.
Answer:
60% increase
Step-by-step explanation:
First: subtract your final value by your starting value
136 - 85 = 51
Second: divide your product from the first step by your starting value
51 ÷ 85 = 0.6
Third: multiply your product from the second step by 100
0.6 x 100 = 60
You invested $25,000 in two
accounts paying 9% and 8%
annual interest. If the total interest
earned for the year is $2100 how
much was invested of each rate?
let x be the capital invested in the 9% account
let y be the capital invested in the 8% account
let j be the interest earned from the 9% account
let k be the interest earned from the 8% account
[tex]j = xi_{1}n \: \: \: (n = 1 \: year)\\ j = x( \frac{9}{100})(1) = 0.09x[/tex]
[tex]k =yi_{2}n \: \: \: \: (n = 1 \: year) \\ k = y( \frac{8}{100} )(1) = 0.08y[/tex]
But the total interest made is 2100 $, hence:
[tex] \: \: \: \: \: \: \: j + k = 2100 \\ 0.09x + 0.08y = 2100[/tex]
And the total capital invested is 25000 $
[tex]x + y = 25000[/tex]
System of 2 equations and two unknowns:
[tex]0.09x + 0.08y = 2100 \\ x + y = 25000 \\ \\ \: \: \: \: (x,y)=(10000,15000)[/tex]
Question 3
The first five triangular numbers are shown, where n represents the number of dots in the base of the figure, and d (n)
represents the total number of dots in the figure.
1 3 6
15
When n = 1, there is 1 dot. When n = 2, there are 3 dots. When n = 3, there are 6 dots. Notice that the total number of dots
d (n) increases by n each time.
Use induction to prove that d (n) = n(n+1)
10
Part A
Prove the statement is true for n = 1.
At a local drive-thru restaurant, 3 out of every 8 drinks sold are diet drinks. If the restaurant sells 4,200 drinks in one month, how many would be diet drinks?
Answer:
1575
Step-by-step explanation:
3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.
Can you use the associative property with subtraction?
Answer:
Addition and multiplication both use the associative property, while subtraction and division do not.
Step-by-step explanation:
Answer:
subtraction doesn't have the associative property. If we subtract the first two numbers, 10 minus 5, it gives us 5. If we move on to subtract 3, it gives us 2. However, if we subtract the last two numbers first, 5 minus 3 is 2.
Solve the system of equations and choose the correct ordered pair. y=-2x+4 y=x-2
Answer:
(-6, -8)
Step-by-step explanation:
We have the following system of equations:
[tex]y = 2x+4[/tex] (1)
and
[tex]y=x-2[/tex] (2)
Set (1) = (2) since the LHS is y in both
We get
[tex]2x + 4 = x - 2[/tex]
Subtract x from both sides:
[tex]2x + 4 - x = x - 2 -x[/tex]
[tex]x + 4 = -2[/tex]
Subtract 4 from both sides
[tex]x + 4 - 4 = -2 -4[/tex]
[tex]x = -6[/tex]
Substitute for x in Equation (2) to get
[tex]y = -6 - 2 = -8[/tex]
So the solution is (-6, -8)
Pete worked 51 hours and 30 minutes on his new job. He makes $11.55 per/hour. For each hour of overtime, he earns time and a half. How much will he earn for one week?
Pete will earn $594.83 for one week that he worked for 51 hours
What is the normal hours of work per week?
The number of hours that Pete works normally in any week is 40 hours, beyond the 40 hours, it is regarded as overtime and the overtime hours are paid at one and a half of the normal hourly rate of $11.55
overtime=51.50-40
overtime=11.50
normal earnings=40*$11.55
normal earnings=$462.00
overtime pay=11.50*$11.55
overtime pay=$132.83
total weekly earnings=$462.00+$132.83
total weekly earnings=$594.83
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Please awnser the question below:
Order of the given expression into smallest to largest are as follow:
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}[/tex]
As given in the question,
Given expressions are as follow:
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12},\\\\\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}\\\\\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} \\ \\\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}[/tex]
Arrange them in the order of smallest to largest by simplifying them,
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}= \frac{2+4}{24-12\\}[/tex]
= 0.5
[tex]\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}= \frac{4+\sqrt{2} }{12}[/tex]
=0.45
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} = \frac{2+4}{-48}[/tex]
= -0.125
[tex]\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}= \frac{4+\sqrt{2} }{-48}[/tex]
= -0.1128
-0.125 < -0.1128 < 0.45 < 0.5
Therefore, order of the given expression into smallest to largest are as follow:
[tex]\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}[/tex]
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Judy purchased a carpet for $173.95 and a table set for $88.08. She received a 18% discount but had to pay 8% sales tax. What is the total price?
well, the carpet and table set are both 173.95 + 88.08 = 262.03, however Judy is so smashing she got an 18% discount on that, ,so
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{18\% of 262.03}}{\left( \cfrac{18}{100} \right)262.03} ~~ \approx ~~ 47.17~\hfill \underset{discounted~price}{\stackrel{262.03~~ - ~~47.17}{\approx 214.86}}[/tex]
now, let's add the 8% tax to that
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 214.86}}{\left( \cfrac{8}{100} \right)214.86} ~~ \approx ~~ 17.19~\hfill \underset{\textit{ total price}}{\stackrel{214.86~~ + ~~17.19}{\approx \text{\LARGE 232.05}}}[/tex]
how to solve tangent
Step-by-step explanation:
tan x = 1 / (cot x)
Tangent Formula Using Sin and Cos
We know that sin x = (opposite) / (hypotenuse), cos x = (adjacent) / (hypotenuse), and tan x = (opposite) / (adjacent). Now we will divide sin x by cos x.
(sin x) / (cos x) = [ (opposite) / (hypotenuse) ] / [ (adjacent) / (hypotenuse) ] = (opposite) / (adjacent) = tan x
Thus, the tangent formula in terms of sine and cosine is,
tan x = (sin x) / (cos x)
The length of a rectangle is four less than twice its width. If the perimeter of the rectangle is 76 units, what is its width?
a
13
b
14
c
20
d
26
e
28
The width of the rectangle is 14 units and the right option is b 14
What is perimter?Perimeter can be defined as the total distance around an object.
To calculate the width of the rectangle, we use the formula of perimeter.
Formula:
P = 2(l+w).................... Equation 1Where:
P = Perimter of the rectanglel = Length of the rectanglew = Width of the rectangle.From the question,
Given:
P = 76 unitsl = 2w-4Substitute these values into equation 1
76 = 2[w+(2w-4)]76 = 6w-86w = 76+86w = 84w = 84/6w = 14unitsHence, the width of the rectangle is 14 units and the right option is b 14
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Rochelle and Irene do some fundraising for their sporting team. Together they raised $741.
If Irene raised $p, and Rochelle raised $199 more than Irene:
Solve for the value of P
Answer:
$271
Step-by-step explanation:
$741-$199= $542
$542/2= $271
271=p
Irenes $271+ Rochelles $271+199 more than Irene= $741
Irene only raised $271 and rochelle raised 470$
45 is added to the data set 9, 1, 9,7, 2
The new data set is the {54,46,54,52,47}.
According to the statement
We have to find that the value of the data set.
So, For this purpose, we know that the
A data set is a collection of related, discrete items of related data that may be accessed individually or in combination or managed as a whole entity.
From the given information:
45 is added to the data set 9, 1, 9,7, 2
It means the data set is the
{ 9, 1, 9,7, 2}
Then the number 45 is added into the each elements of the data.
Then
9+45 = 54
1+45 = 46
9+45 = 54
7+45 = 52
2+45 = 47.
The new data set is the {54,46,54,52,47}
So, The new data set is the {54,46,54,52,47}.
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Solve the inequality 3/4q - 2/3q < 5/12q - 1/12 and write the solution in interval notation?
Solution of the inequality is q> 1/4 and in interval notation is (1/4 , ∞ ).
According to the question we have been given the inequality that is
3/4q - 2/3q < 5/12q - 1/12
Solving the equation step by step we get
First simplifying 3/4q - 2/3q which will get q/12
Therefore, q/12 < 5/12q - 1/12
moving all the terms with q on the left hand side we get
q/12 - 5/12q < -1/12
(q-5q)/12 < -1/12
-4q/12 < -1/12
multiplying both sides by 12 we get
-4q/12 * 12 < -1/12*12
-4q < -1
multiplying -1 both sides we get
4q>1
q >1/4
Hence solution of the inequality we get
(1/4 , ∞ )
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