Answers
Answer: 100 99/100
Step-by-step explanation: add the 1/2 and 1/5 together by finding a common denominator(10). 1/2 would become 5/10 and 1/5 would become 2/10. 2/10 + 5/10 =7/10. now we're left with (7/10)^2 +3/10 x 5
to do (7/10)^2 you square the top and bottom to give you 49/100.
next we'll do 3/10 x 5 which would equal 15/10. so now all we have left to do is add 49/100 and 15/10. to do this we'll find a common denominator of 100. so well multiply the top and bottom by 10 to give you 150/100.
finally, 49/100 + 150/100 = 199/100 or as a mixed number, 100 99/100
Answer:
1[tex]\frac{99}{100}[/tex]
Step-by-step explanation:
I would start by turning the parentheses fractions into one fraction.
You could do binomial multiplication and get [tex]a^{2} +2ab+b^{2}[/tex] but it might take longer.
So I would just turn them into one fraction by finding the common denominator.
The common denominator here is 10
[tex]\frac{1}{5} (\frac{2}{2} )=\frac{2}{10}[/tex]
[tex]\frac{1}{2} (\frac{5}{5} )=\frac{5}{10}[/tex]
Now add
[tex]\frac{2}{10} +\frac{5}{10} =\frac{7}{10}[/tex]
Now apply: [tex](\frac{a}{b} )^{2} =\frac{a^{2} }{b^{2} }[/tex]
[tex](\frac{7}{10} )^{2} =\frac{7^{2} }{10^{2} } =\frac{49}{100}[/tex]
Now, multiplying the other fraction we get [tex]\frac{3}{10} (5)=\frac{15}{10}[/tex]
Now turn this into a fraction with denominator 100 to add the two fractions
[tex]\frac{15}{10} (\frac{10}{10} )=\frac{150}{100}[/tex]
[tex]\frac{49}{100} +\frac{150}{100} =\frac{199}{100} =1\frac{99}{100}[/tex]
There is also another method to add or subtract fractions without multiplying to get a common denominator in case you are interested:
[tex]\frac{a}{b}[/tex]±[tex]\frac{c}{d}[/tex]=[tex]\frac{ad+bc}{bd}[/tex]
Related Questions
An item that originally cost 50$ is marked down 20%. Find the new cost of the item after the discount
Answers
= 10
50-10=$40
That’s what I got but, not sure
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Answers
Question:
If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.
Coin wrapper volume = 27,480 mm^3
Coin diameter = 21.18 mm
Answer:
The thickness of a coin is: 1.95mm
Step-by-step explanation:
Given
[tex]V = 27480mm^3[/tex] -- volume
[tex]d = 21.88mm[/tex] --- the diameter
Required
The thickness of each coin
This implies that, we calculate the height of each coin.
First, calculate the radius (r) of the coin
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2} * 21.18mm[/tex]
[tex]r = 10.59mm[/tex]
The volume of the coin is calculated as:
[tex]V =\pi r^2H[/tex]
Where H represents the total heights of the 40 coins
[tex]27480 = 3.14 * 10.58^2 * H[/tex]
Solve for H
[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]
[tex]H = \frac{27480 }{ 351.480296}[/tex]
[tex]H = 78.1836145944[/tex]
The height of a coin is calculated by dividing H by 40
[tex]h = \frac{78.1836145944}{40}[/tex]
[tex]h = 1.95459036486[/tex]
[tex]h \approx 1.95mm[/tex]
Hence, the thickness of a coin is: 1.95mm
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment
Answers
Answer:
Monthly installments = £250
Step-by-step explanation:
Given
Total cost of holiday = £2400
Ratio deposit : total of the monthly payments=3:5
Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]
Total amount of the monthly payments = 2400 -900 = 1500
She pays six equal installments.
Amount of installments = 1500/6 = 250
Monthly installments = £250
Using proportions, it is found that her monthly payments are of £250.
The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.According to the ratio, we have that:
[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]
Applying cross multiplication:
[tex]5x = 3(2400 - x)[/tex]
[tex]8x = 7200[/tex]
[tex]x = \frac{7200}{8}[/tex]
[tex]x = 900[/tex]
Hence, the monthly payments add to £1500.
She makes 6 equal monthly payments, hence:
[tex]p = \frac{1500}{6} = 250[/tex]
Her monthly payments are of £250.
A similar problem is given at https://brainly.com/question/24372153
PLEASE HELP ME THANKS IF U DO (gets reported if link)
Answers
Answer:
5
Step-by-step explanation:
49/9 = 5
FIND THE ERROR!!!!!!!!
Answers
Answer:
the error is between steps 2 and 3. you cannot add 5x and 3. if a value has an x attached, then you can only add values that also have that variable attached. hopefully that made sense, lmk if you need more explaining :)
Step-by-step explanation:
just need answer please help
Answers
Answer:
41 ft
Step-by-step explanation:
We can start by first finding the area of the top square
3*3=9
then we can find the area of the bottom rectangle
4*8=32
then we can add them together
32+9=41
Can I have Brainliest please :)
Answer:
53 [tex]ft^2[/tex]
Step-by-step explanation:
We can find the area of the figure by adding the areas of the square and the rectangle.
Area of square:
3 x 3 = 9 squared ft
Area of rectangle:
4 x (8 + 3) = 4 x 11 = 44
Add the areas:
9 + 44 = 53
The area of the figure is 53 squared feet.
im totally NOT giving away points and this totally IS a real question so pls help (jkjk)
Answers
Answer:
Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D
Step-by-step explanation:
My Classes
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MULTIPLE CHOICE QUESTION
What is the probability of rolling a 5 on a
die and tossing a coin and getting a
heads?
Answers
Answer:
1/12
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
50.24
Step-by-step explanation:
a=(pi)r²
A =(pi)4²
A = 50.27
but I used the actual pi if you use 3.14 I think you'll get 50.24 but that's the closest answer.
Hope you get it right
Find the surface area
Answers
Answer: 80ft squared
Step-by-step explanation: 18 * 4 + 8 = 80
bc I’m so smart and def did not copy the other guy
On a coordinate plane, what are the center and radius of the circle represented by
(x+3)^2 + (y – 5)^2 = 25?
A. Center: (-3, 5); Radius: 25
B. Center: (3, -5); Radius: 25
C. Center: (3, -5); Radius: 5
D. Center: (-3, 5); Radius: 5
Answers
The answer is D.
Center is (-3, 5) and Radium is 5
Write a proportion comparing the rise to the run for each of the similar slope triangles shown at the right. Then find the numeric value.
Answers
Answer:
AB/CΔ=BC/ΔE {similar triangles}
[tex]2/4=2/4[/tex]
[tex]1/2=1/2\\[/tex]
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---------------------------------
hope it helps....
have a great day!!
Please help I need to show all work
Answers
Answer: x=-3 can you mark me brainlyest thanks
Step-by-step explanation:
3(x-6)=2x(x+3)
3x-18=3x+6x
3x-18=9x
-3x -3x
-18=6x
__ __
6 6
x=-3
Chrome - Test Player
b test.mapnwea.org/growth/#/test-player
Robert bought a new flat-screen television. The dimensions of the screen are shown in the diagram.
20 inches
37 inches
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O A 40 in.
OB. 42 in.
O c. 57 in.
OD. 64 in.
Answers
Answer:
57in
Step-by-step explanation:
20 + 37 = 57in
I will give brainliest to first A circular hole was cut from the center of a plastic disc as shown below. The measurements are given in millimeters (mm). Answer choices are 177 330 11,127 11,304
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Answer:
330
Step-by-step explanation:
Please Help Me with this Question. I do not understand it.
Answers
Answer: 30
Step-by-step explanation:
the formula for the area of a triangle is base times height divided by 2
A=bh/2
the base in this triangle is 15 and the height is 4
(15)(4)/2
60/2
30
Remove the brackets using the distributive law for the following: -7(2x - 5y)
Answers
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Answer:
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Step-by-step explanation:
3x×2x=6...... then an x²
Therefore answer is 6x²
Help please.........
Answers
1. Place these numbers in order from smallest to largest:
8/5 , -3, 6, 3.1 , -2.5, 1/4, - 3/4 - 3/8
:)
Answers
Answer:
Step-by-step explanation:
-3/8, - 3/4, - 3, - 2. 5, 1/4, 8/5 3.1, 6
it takes 61 pounds of seed to completely plant an 11- acre field. how many pounds of seed are needed per acre
Answers
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Change this fraction into a decimal: 20/25
.8
.08
.008
.0008
Answers
20/25 = 4/5 = 80% = .8
Answer:
0.8
Step-by-step explanation:
20/25=80/100=0.8
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Answers
Answer:
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The x variable is for the number of books she buys to read so when x is 0!the cost would be what she paid for the reader.
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Answer:
i think is either the first one or the last one.
i think it's one of those
Step-by-step explanation:
Segment PR and segment QS are diameters of circle U. Find measure of arc PQ.
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Answer:
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Step-by-step explanation:
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Kotaro is sitting 30 feet high in a football stadium. The angle of depression to the center of the field is 14 degrees. What is the horizontal distance between Kotaro and the center of the field? Round to the nearest foot.
Answers
Answer:
217 feet
Step-by-step explanation:
tan(14) = x/30
=> x = 30tan(14)
=> x = 217 feet
Answer:
x = 7
Step-by-step explanation:
tan(14) = x/30
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You deposit $300 dollars in a savings account the account earns 10% simple interest per year whats the interest after 8 years
Answers
Answer:
$240
Step-by-step explanation:
Given data
Principal= $300
Rate= 10%
Time= 8 years
We know that the expression for the simple interest is given as
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Substitute
SI= 300*10*8/100
SI= 24000/100
SI= $240
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The function P(h)= 2h- 15 represents the profit a company makes selling h hot dogs. Which is the most appropriate domain of the function?
a : all positive intergers
b : all positive real numbers
c : all positive rational numbers
d : all positive irrational numbers
Answers
The requried most appropriate domain for the function P(h) would be the set of all non-negative real numbers. The domain is b, all positive real numbers.
What is a domain?The domain is defined is a set of values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
The function P(h) = 2h - 15 represents the profit a company makes selling h hot dogs. In general, the domain of a function represents the set of all possible input values for which the function is defined.
In this case, the function can be defined for any non-negative value of h, since the company can sell any number of hot dogs, including zero. However, the function may not be defined for negative values of h, since it does not make sense to talk about selling a negative number of hot dogs.
Learn more about the domain here:
https://brainly.com/question/28135761
#SPJ2