Answer:
10.2 as a fraction is 10.2/1.
Step-by-step explanation:
Basically you keep the numerator and have 1 as your denominator.
The fraction for the given decimal number is [tex]10\frac{1}{5}[/tex].
The given decimal number is 10.2.
Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Here, in the decimal number 10.2, after decimal point there is one digit.
So, divide 102 by 10.
Now, 10.2 = 102/10
= 51/5
= [tex]10\frac{1}{5}[/tex]
Therefore, the fraction for the given decimal number is [tex]10\frac{1}{5}[/tex].
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what is the expression for 6 times the sum of y and 11
Answer:
6y+66
Step-by-step explanation:
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
Answer:
True
Step-by-step explanation:
If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.
Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
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Styles
Format
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
X=24
Step-by-step explanation:
First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4
The length of a rectangle is 3 in longer than its width.
If the perimeter of the rectangle is 42 in, find its area
Answer:
The first task in a word problem is to translate it into symbols.
First, give a name to each quantity:
Let w be the width of the rectangle
Notice the length = w+3
Let a be the area of the rectangle
Let p be the perimeter of the rectangle
Next, write down formulas relating the quantities
Step-by-step explanation:
a = w * (w+3)
p = 2w + 2(w+3)
We know p = 42, so
42 = 2w + 2(w+3)
im sure you know how to simplify and solve for w:
42 = 4w + 6
4w = 36
w = 9
now you’re ready to attack the area
a = w * (w+3) = 9 * (9+3)
can you take it from there?
La función de costos para una compañía es C=125q + 13500 y su punto de equilibrio es q=270. Plantear la función de Utilidad
Based on the information given, the total cost incurred based on the equation given as C= 125q + 13500 will be 47250.
From the information given, the cost function is given as C=125q + 13500 while the value of q is given as 270. Therefore, on order to find the cost, we'll slot in the value of q into the equation given. This will be:
C=125q + 13500
C = 125(270) + 13500
C = 33750 + 13500
C = 47250
In conclusion, the cost is 47250.
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Steve bicycles 3 mi to school everyday at 15 mph. If school starts at 8:30 am and he needs 15 min to lock his bike and get to his desk then what time should he leave his house
Answer:
8:03
Step-by-step explanation:
time=speedxdistance
t=1/15x3
t=3/15hr
t=.2hr
t=12 mins
plus 15 mins to lock up bike, 27 mins
27 mins before 8:30 is 8:03
pls mark branliest
Help plzdsadsadsadsdsa
Answer:
Step-by-step explanation:
9b²c² = (3bc)²
100m²n⁶ = (10mn³)²
I hope I've helped you.
help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is the value of X?
Check the picture below.
PLEASE HELP 10 POINTS✨
Write an equation for each problem. Use the variable M.
18) Five students are absent from math class today. If there are 22 students in math class today, how many students would there be if none were absent? =
19) Juan pays $22.05 more than Kim each month for his health club membership. Juan pays $59.95 each month. How much does Kim pay each month? =
Answer: 18) there are 27 students
i am new to this so i am sorry if i got this wrong
Step-by-step explan If there are 22 students add 22+5 and the anwser is 27
Eli is deciding between two different movie streaming sites to subscribe to. Plan A costs $14 per month plus $2 per movie watched. Plan B costs $10 per month plus $3 per movie watched. Let A represent the monthly cost of Plan A if Eli watches xx per month, and let B represent the monthly cost of Plan B if Eli watches xx movies per month. Graph each function and determine the interval of movies watched, x,x, for which Plan A is cheaper than Plan B.
put it on a graph
Hope this helps I really tried
By analyzing the graph, we can see that plan B is cheaper for the interval [0, 4), while plan A is better if you look 4 or more movies per month.
How to get the cost equations?
We know that plan A costs $14 per month plus $2 per movie, so if you watch x movies, the cost is:
C₁(x) = $14 + $2*x
Plan B costs $10 per month plus $3 per movie, so if you watch x movies, the cost is:
C₂(x) = $10 + $3*x
Now to compare the costs, you can see the graph at the end. Where C₂(x) is the blue line, and C₁(x) is the green line.
In the graph, you can see that between x = 0 and x = 4, the blue line is below the green one. So, in the interval [0, 4) plan B is cheaper.
While for x > 4, the green line is below the blue one, so for x > 4 you should choose plan A.
If you want to learn more about linear equations, you can read:
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Can someone help please
Answer:
0.3 miles per hour
Step-by-step explanation:
Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3
Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 437.5 liters of a hydrochloric acid solution with a 45% acid concentration?
Answer:
Step-by-step explanation:
30F + 55S = 45(437.5)
30F + 55S = 19687.5
30F = 19687.5 - 55S
F = (19687.5 - 55S) / 30
30((19687.5 - 55S) / 30) + 55S = 19687.5
S = 0 (30%)
F = (19687.5 - 55S) / 30 (55%)
Suppose you invest 18,400.00 into an account earning an interest rate of 2.991% compounded continuously for 2 year(s) and thereafter earning an interest rate of 4.192%compounded yearly. How much money is in the account after 9 years?
[tex]~~~~~~ \stackrel{\textit{for the first 2 years}}{\textit{Continuously Compounding Interest Earned Amount}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$18400\\ r=rate\to 2.991\%\to \frac{2.991}{100}\dotfill &0.02991\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 18400e^{0.02991\cdot 2}\implies A = 18400e^{0.05982}\implies A\approx 19534.276[/tex]
now let's grab that amount and invest it for the remaining 7 years at 4.192% compounded.
[tex]~~~~~~ \stackrel{\textit{for the last 7 years}}{\textit{Compound Interest Earned Amount}}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$19534.276\\r=rate\to 4.192\%\to \frac{4.192}{100}\dotfill &0.04192\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly meaning once}\end{array}\dotfill &\\t=years\dotfill &7\end{cases}[/tex]
[tex]A=19534.276\left(1+\frac{0.04192}{1} \right)^{1\cdot 7}\implies \boxed{A\approx 26039.82}[/tex]
PLSSS I NEED HELP WITH MATH.
Answer:
Step-by-step explanation:
Natasha added 13/24 of the bag of soil more than Dina
Dina added 5/6 of the bag of soil
Natasha added 11/8 of the bag of soil
To solve this problem, we will subtract two fractions with unlike denominators.
to find the quantity of soil did Natasha add than Dina
= 11/8 - 5/6
LCM = 24
33/24 - 20/24
= 13/24
SORRY THAT ALL WHAT CAN I SLOVE
HELP WITH THIS PLS :)0000
Answer:
5 to 1 power
Step-by-step explanation:
Answer:
5^(15) or 5 to the 15th power
Step-by-step explanation:
When simplified, both equal to 305175..
(2a-1/3) / b/15 when a=-3/5 and b=-6.75
Answer:
4.148148149
Step-by-step explanation:
that's the answer
Step-by-step explanation:
2a-1/3 / b/15
[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]
The pumps will turn off when the volume in the tank hits 10,000 gallons. To the nearest minutes after how long does this happen
Answer:
150 minutes
Step-by-step explanation:
dana starts biking the 2 miles from her home at a speed of 12 mph. 2 minutes later, her brother leaves the house. What should his minimum biking speed be if he wants to get to school no later than his sister?
Answer:
15 miles per hour
Step-by-step explanation:
12 miles per hour / 60 mins = 0.2 miles per minute
0.2 mpm * 10 mins = 2 miles (it takes her 10 mins to travel 2 miles)
at to 2 minutes shes already 0.4 miles ahead of her brother.
he will have to travel to school in 8 mins to arrive at the same time as his sister so his speed will have to be x*8= 2 so x=2/8 or 0.25 so his speed will have to 0.25 mpm so 0.25*60= 15
his speed should be 15 miles per hour
Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.
Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings
Calculate how much in total Harry was paid last week
Answer:
1404.81
Step-by-step explanation:
1277.1 +127.71 = i read it wrong the first time sorry
The total amount paid to harry in past week, is 299.28.
What is amount?Amount is the sum or the total value.
For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.
Given that,
The amount paid to Harry for 1 hour = $8.60
Since, Harry worked for 33 hours,
So, The amount paid to Harry for 33 hours = 8.60×33=283.8
Harry gets half times more amount than hourly rate and also gets bonus for last 3 days
So for last 3 days the extra amount paid to Harry
= 3×1/2×8.60+3×1/10×8.60
= 12.9+2.58
=15.48
So the total amount paid to harry = 283.8+15.48=299.28
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Ava bought a new computer and is now
$249 in debt. How much money does
Ava have?
What does $0 represent in this problem?
Answer:
If Ava is in Debt she will have 0 dollars. 0 represents how much money Ava has. Hope this helps!
Step-by-step explanation:
Hello there can you please help y
Answer:
5x + 28 = 7x - 4
2x = -32
x = -16
If XZ=8x-18 and RZ = 2x+5 find XR
Answer:
6x+23
Step-by-step explanation:
8x-18+2x+23
8x-2x+5+18
6x+23
Answer:
XR=19
Step-by-step explanation:
Since the entire thing of XZ equals 8x-18 and one side of the line equals 2x+5 we will need another half to get the entire thing.
8x-18=4x+10
4x=28
x=7
Now we have to plug the x in
2(7)+5
=19
QUESTION
arning Page
The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 65 m². Find the dimensions of the rectangle.
Answer:
width: 6.5 mlength: 10 mStep-by-step explanation:
Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:
A = LW
65 = (2w-3)(w)
2w² -3w -65 = 0
(2w -13)(w +5) = 0 . . . . . . . factor
w = 6.5 . . . . . . . . the positive solution
2(6.5) -3 = 10 . . . the length of the rectangle
The width of the rectangle is 6.5 meters; the length is 10 meters.
1 2/3 divided by 2 3/4
Answer:
20 / 33
Step-by-step explanation:
Brianlyest plz
Perpendicular Bisector Theorem
A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ
=》 PS = 3a
=》 PQ = a + 16
PS = PQ
3a = a + 16
3a - a = 16
2a = 16
a = 16/2
a = 8.
_______
RainbowSalt2222 ☔
PleaseHelp! Easy math
Answer:
1.x=12
6/12 divided by 3 for both denominator and numerator
2. x=5
2/10 divided by 3 for both denominator and numerator
5. x=60
60/100 divided by 20 for both denominator and numerator
Find out #3 for yourself
Step-by-step explanation:
8 2/3 and 10 23/32 in its simplest form
Which one of the following statements about fractions is correct?
Question 9 options:
1/3 is an improper fraction.
9/7 is a proper fraction.
5/16 is a mixed number.
4/4 is equal to 1.
Answer:
4/4 is equal to 1 is the only one that's correct
Step-by-step explanation:
Answer:
4/4 and 1/3 are the correct statements
What is the quotient of 8×10 to the 20/4÷2×10 to the 18th in scientific notation
Step-by-step explanation:
[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]
[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]
[tex] = 4 \times {10}^{6} [/tex]
[tex] \: [/tex]
[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]
Answer:
[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]
[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]
[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]
[tex]↪4 \times {10}^{6} [/tex]
Find the inequality represented by the graph
Answer:
y < 3/4 x
(We don't put another number at the end, if the y-intercept is 0, btw.)
Step-by-step explanation:
We know that the line has a positive slope, because it's going upwards to the right.
(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).
Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.
We also know that since the line is dotted, the sign will be either < or >.
And the shaded area below indictes that y is lesser than, meaning we use this sign <.
Hope this helps you :)
