Answer:
(3a +6b) (9a² - 18ab + 36b²)
Step-by-step explanation:
27 = 3 * 3 * 3 = 3³
216 = 6 * 6 * 6 = 6³
a³ + b³ = (a + b)(a² - ab + b²)
27a³ + 216b³ = (3a)³ + (6b)³
= (3a + 6b)( (3a)² - 3a*6b + (6b)² )
= (3a +6b) (9a² - 18ab + 36b²)
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper how many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper
Given :
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.
To Find :
How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.
Solution :
Mass of copper in 50 gm alloy = [tex]50\times 0.12 = 6\ gram[/tex].
Mass of copper in 78 gm alloy = [tex]78\times 0.98 = 76.44\ gram[/tex].
Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.
Percentage of copper in resulting mixture :
[tex]\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%[/tex]
Hence, this is the required solution.
I’ll give brainliest
The function r(x) = –0.000345(x – 50)2 + 2.1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x, in feet. A European firm studying these curves is going to convert feet to meters using the function m(x) = 0.3048x. Which composition can be used to model the curve of the road in terms of meters?
Answer:
- 0.000105156(x - 50)² + 0.64008
Step-by-step explanation:
Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :
To convert the curve model in feets to metres +, using the function :
m(x) = 0.3048x
Multiply m(x) by r(x)
Hence,
m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)
m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters
Anthony save $1 from his first paycheck, $2 from his second paycheck, then $4,
$8, and so on. How much money did Anthony save from his tenth paycheck. *
Answer:24 dollars hope this helped
Step-by-step explanation:
Tony purchased a 15-foot-long-sub for a party. He cuts the sandwich into 5/12 foot sections. Into how many pieces does he cut the sandwich?
Answer:
3?
Step-by-step explanation:
Number of pieces in sandwich is 36 piece (Approx.)
Given that;Sandwich size = 15 feet
Each piece = 5 / 12
Find:Number of pieces in sandwich
Computation:Number of pieces in sandwich = Sandwich size / Each piece
Number of pieces in sandwich = 15 / [5/12]
Number of pieces in sandwich = 36 piece (Approx.)
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There are (64)2 ⋅ 60 pigs on a farm. What is the total number of pigs on the farm?
Answer:
If the question is (64)2 x 60, then the answer is 7,200
Step-by-step explanation:
Given g(x)=-x-1, find g(-4)
Answer:
g(-4)=3
Step-by-step explanation:
g(x)=-x-1
g(-4)=-(-4)-1
g(-4)=4-1
g(-4)=3
Answer:3
Step-by-step explanation:
How can I turn this into a graph in Desmos,
Answer:
in Desmos there should be a plus sign right above the list of your equations on the left side. Click that plus sign and then click "table". then enter your numbers. then your points will be shown on the graph
to turn this into a line long press on the button next "y" on the table you have made, then select "lines"
Answer:
you go to desmos and you go to the left side of the website. choose which graph you want to do. if you want to use a regression line graph, or anything else. lmk if you need help
Step-by-step explanation:
10 POINTS PLEASE HELP Kamiyama's Kitchen charges $30 per meal and a
membership fee of $150, while Tarlton's Tavern
charges $20 per meal and a membership fee of $300
How many meals will it take for both deals to cost the
same amount of money?
Answer:
Step-by-step explanation:
I think you should create a table (x,y) and make an equation and that could be a way to figure it out
PLEASE ANSWER FAST
Question in picture
(question 31)
Answer:
50°
Step-by-step explanation:
Answer:
60,70
Step-by-step explanation:
<C 60 <70 because of alternating angles are equal and the sum of 60 70 50 are 180
Find the equation of a line that passes through the points (1,-3) and (3,-4).
Leave your answer in the form
y=mx + c
Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make?
Answer:
130 balloons
Step-by-step explanation:
295-100= 195
195/1.5=130
The required number of balloons animals Michael made is 130
Given that,
Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make is to be determined
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number of the balloons be x,
According to the question,
295 = 100 + 1.5x
1.5x = 295 - 100
1.5x = 195
x = 195 / 1.5
x = 130
Thus, the required number of balloons animals Michael made is 130.
Learn more about arithmetic here:
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Which one is the right answer?
Answer:
angle 2 is 35 degrees
angle 3 is 55 degrees
Answer:
(below)
Step-by-step explanation:
since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees
1 is a right angle. so, m of angle 1 = 90 degrees
if all interior angle of a triangle add up to 180, angle 2 must equal 35
1/3 minus 1/6 equals to???
Answer:
1/6
Step-by-step explanation:
In order to add or subtract fractions you have to have the same denominator for both factions. you do this through finding the Lowest Common Denominator (LCD) In this case it's six because both 3 and 6 (the denominators) can go into 6. So turn 1/3 into a fraction with 6 as the denominator through multiplying both the top and bottom of the fraction by 2
1/3 * 2/2 = 1*2/3*2 = 2/6
Then you can straightforwardly subtract
2/6 - 1/6 = 1/6
Five times the greater of two consecutive even
integers is 14 greater than three times the lesser
number. What is the greater number?
Find all solutions to 3x2 + 2x + 1 = 0
Answer:
x = -3.5
Step-by-step explanation:
3 x 2 + 2x + 1 = 0
6 + 2x + 1 = 0
2x + 7 = 0
2x = -7
x = -7/2 = -3.5
Hope this helped! If not, please let me know! <3
Help plz!!!!!!!!!!!!!!!!!!!!
Answer:
444.6 liters
Step-by-step explanation:
117*3.8
444.6
bailey ran 0.674 times aound her school track. what percentage of the track did she run around?
f: 0.0674%
G: 6.74%
H:64.4%
j: 674%
Answer:
0.674 as a percent. 0.674 is equivalent to 67.4%.
Hope this helps!
Multiply. Write your answer as a fraction in simplest form. 2/3 x 6/5
Answer:
4/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 6 12
_ x _ = _
3 5 15
Simplest form is 4/5
What expressions are equivalent to 10^-5x10^2
Answer:
Answer= D and E
Step-by-step explanation:
(for two powers multiplied together we add them)
[tex]10^{-5}[/tex]×[tex]10^{2}[/tex]
=[tex]10^{-5+2}[/tex]
=[tex]10^{-3}[/tex]
this is the same as:
=[tex]\frac{1}{10^{3} } =\frac{1}{1000}[/tex] (as [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])
or
[tex](\frac{1}{10})^{3}[/tex] (as this is the same as [tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex] which is equal to [tex]\frac{1}{1000}[/tex] the answer for the question)
Please HELP! will give brainliest
================================================
Explanation:
FGH is similar to EDC
Note the order of the letters. The order is important since it tells us how the letters pair up.
F and E are the first letters, so F and E pair up. This means F = E.G and D are the second letters, meaning that G = DH and C are the third letters showing that H = C.The diagram shows G = 71. Since G = D, we know that D = 71 as well. You can use the substitution property or the transitive property (both are effectively the same).
----------
Side note: The angles G and D are the top most angles in the diagram, so this is a visual way to see how they pair up. Keep in mind that the diagram won't always be helpful because it may not be drawn to scale or something may be rotated to trick you. It's best to use the letter pairing method in the previous section above.
The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work
Pythagoras' theorem is a basic relationship between the three sides of a right triangle. The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
In order to calculate the length of the walkway, we need to calculate the value of b first. Therefore, the value of b using the Pythagoras theorem can be written as,
[tex]D^2=12^2+b^2\\15^2=12^2+b^2\\225=144+b^2\\b^2= 81\\b=9[/tex]
As we got the value of b, now the value of each of the four hypotenuses can be written as,
[tex]A = \sqrt{12^2+8^2} = \sqrt{208}=14.422\\\\B=\sqrt{6^2+8^2}=\sqrt{100} = 10\\\\C =\sqrt{6^2+9^2}=\sqrt{117} = 10.82\\\\D = 15[/tex]
Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,
[tex]Sum = A+B+C+D = 14.422+10+10.82+15 = 50.24[/tex]
Hence, the length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.
Learn more about Pythagoras Theorem:
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What is the decimal equivalent of 23/9
A. 25
B. 0.39
C. 2.39
D. 2.55
2.55
To find a decimal you need to divide y and x (y/x)
What I did was I divided 23/9 and got 2.55555555556. And 2.55 is closest to 2.55555555556.
Put the numbers below in order from lowest to highest.
Please help!!! 50 points!!!
Answer: -23, -4, -126/42, .4, 5/6, square root of 36, 8, 17
Step-by-step explanation: you simplify all the fractions and square roots then determine the order.
If a system of linear equations has one solution, what does this mean about two lines?
Select all that apply.
a. Intersecting lines
b. No solution
c. One solution
d. Infinitely Many Solutions
e. (x,y)
Which graph shows a proportional relationship between x and y?
Answer:the last one
Step-by-step explanation:
Answer: B
Step-by-step explanation:
I HAVE DONE THIS ALREADY
in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?
Answer:
x=34
Step-by-step explanation:
If you put Y and X into a ratio then it will be
5:2
because since their GCF is 11, then we will have to divide both of the numbers by 11.
If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.
That will get you 34.
I need help with this geometry
Answer:
90 degrees
step by step explanation:
LKM moves half way on the blender which is 90 degrees.
What quadrant is point A located in?
A. Quadrant IV
B. Quadrant III
C. Quadrant I
D. Quadrant II
Someone pls help me ASAP
One car rental company charges $30 per day plus $0.25 per mile driven. A second company charges $40 per day plus $0.10 per mile driven. What is the minimum number of miles you must drive a one-day rental at the second company to be less expensive than the same rental at the first company?
Answer:
66.67=67mi.
Step-by-step explanation: