solve x/3+y/4=2
2x/3+3y/4=5
Answers
Step-by-step explanation:
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Answer:
Step-by-step explanation:
[tex]\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)[/tex]
[tex]\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\[/tex]
8x + 9y = 60 -------------------------(ii)
Multiply equation (i) by (-2)
(i)*(-2) -8x -6y = -48
(ii) 8x +9y = 60 {Now add. x will be cancelled}
3y = 12 {Divide both sides by 3}
y = 12/3
y = 4
Substitute y = 4 in equation (i)
4x + 3*4 = 24
4x + 12 = 24
4x = 24 - 12
4x = 12
x = 12/4
x = 3
[tex]\boxed{x = 3 \ ; \ y = 4}[/tex]
Related Questions
A computer and printer cost a total of $1101. The cost of the computer is two times the cost of the printer. Find the cost of each item.
Cost of computer:
Cost of printer:
Answers
Answer:
Cost of Computer: $734
Cost of Printer: $367
Step-by-step explanation:
These two equations can represent the costs; x = price of computer; y = price of printer.
x + y = 1101
2y = x
If you graph these, you get an intersection point of (734, 367). This means that the only place that both equations are fulfilled is on (734, 367).
Then you can check your work:
734+367=1101
367*2=734
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
BC = 11
hope it helps...!!!
Answer:
x = 11
BC = 48
Step-by-step explanation:
11 + 37 = 48 and 4(11) + 4 = 48 and since they are both being multiplied by 11 in place of the x, that makes it congruent. BC is 48 because 11 + 37 = 48. hope it makes sense
How many subsets does the following set (4,5,6,7,8) have?
Answers
Answer:Number of subsets will be given by 2^n, where n is the number of elements in the set.
Step-by-step explanation:
Number of elements is 5. Therefore, the number of subsets that can be formed from the given set is 2^5 = 32.
help need help fast !!!!!!!!!!
Answers
Answer:
Step by step explanation:
what is the formula for the volume of a sphere with radius r = 5?
Answers
Answer:
V = (4/3)π·5³ = 500π/3
Step-by-step explanation:
The formula for the volume of any sphere as a function of its radius is ...
V = (4/3)π·r³
When the sphere has a radius of 5, we replace r in the formula with 5. The formula for the volume of a sphere with radius 5 is ...
V = (4/3)π·5³
__
When that is evaluated, the volume is found to be ...
V = 500π/3 ≈ 523.599 . . . cubic units
1. Determine the correlation coefficient for the following data.
4 8 10 9 11 6
y 1.6 2.4 2.0 2.6 2.1 2.2
Х
Answers
Answer:
mm what's that?
Step-by-step explanation:
wala akong pake char
Which rectangles have the same areas but greater perimeters than the one shown below? Choose all that apply.
A rectangle is shown with a length and height of 6 ft.
A.
12 feet long and 3 feet wide
B.
9 feet long and 4 feet wide
C.
8 feet long and 3 feet wide
D.
7 feet long and 4 feet wide
E.
18 feet long and 2 feet wide
Answers
The rectangles have the same areas but greater perimeters are 12 ft by 3 ft, 9 ft by 4 ft and 18 ft by 2 ft.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
A rectangle is shown with a length and height of 6 ft. Hence:
Area = (6 * 6) = 36 ft²
Perimeter = 2(6 + 6) = 24 ft
For 12 ft by 3 ft:
Area = (12 * 3) = 36 ft²
Perimeter = 2(12 + 3) = 30 ft
For 9 ft by 4 ft:
Area = (9 * 4) = 36 ft²
Perimeter = 2(9 + 4) = 26 ft
For 8 ft by 3 ft:
Area = (8 * 3) = 24 ft²
Perimeter = 2(8 + 3) = 24 ft
For 7 ft by 4 ft:
Area = (7 * 4) = 28 ft²
Perimeter = 2(7 + 4) = 26 ft
For 18 ft by 2 ft:
Area = (18 * 2) = 36 ft²
Perimeter = 2(18 + 2) = 40 ft
The rectangles have the same areas but greater perimeters are 12 ft by 3 ft, 9 ft by 4 ft and 18 ft by 2 ft.
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CAN SOMEBODY HELP ME PLEASE
Answers
Answer:
(A) P(t) = 220t - 435 390
(B) predicted moose population = 6370
Step-by-step explanation:
the longer working shows the explanation and working for part A while the shorter working is for part B
Please help me with these. God bless you
Answers
Answer:
The lines of symmetry in the wheel is infinite.
Explanation:
Since there are an infinite number of lines through the center, a circle has an infinite number of lines of symmetry.
Use the diagram at the right to find the trigonometric ratio
Answers
Answer:
sin C=20/25=4/5
cos C=15/25=3/5
tan C=20/15=4/3
Step-by-step explanation:
sine is opposite/hypotenuse
cosine is adjacent/hypotenuse
tangent is opposite/adjacent
sophia has 8 spend on lunch .Does she have enough money for a sandwich a drink and a bag of chips
Answers
Answer:
depends on how much each thing costs
Step-by-step explanation:
x^3-125=0
what’s the nth root
Answers
I found the roots (Zero) and solved for x, this is your answer
100+200x300=what is the answer
Answers
Answer:
100+200×300 = 60100
Step-by-step explanation:
According to the BODMAS, the order to solve any question is as follows
B - Brackets
O - Order
D - Division
M - Multiplication
A - Addition
S - Subtraction.
in the above expression Addition and multiplication two different operations are functioning. According to BODMAS the multiplication expression will be solved first, that outputs.
200×300 = 60000
after calculating correctly we have to operate second function i.e. addition and add 100 to the above result,
60000+100 = 60100
[tex]{Answer = 60100}[/tex]
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Find the missing endpoint given one endpoint and the midpoint of a line segment. The midpoint of line segment AB is (2,-5) If the coordinates of a point A are (4,4), what are the coordinates of B
Answers
Answer:
(0, -14)
Step-by-step explanation:
Midpoint formula: [tex](x_m, y_m) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]
Substitute known value: [tex](2, -5) = (\frac{4 + x_2}{2} ,\frac{4+y_2}{2} )[/tex]Find [tex]x_2[/tex] : [tex]2 = \frac{4+x_2}{2}[/tex] >> [tex]4 = 4 +x_2[/tex] >> [tex]0 = x_2[/tex] Find [tex]y_2[/tex] : [tex]-5 = \frac{4+y_2}{2}[/tex] >> [tex]-10 = 4 + y_2[/tex] >> [tex]-14 = y_2[/tex]Order the measures of mass from least to greatest.
Answers
Answer:
18 grams,160 grams,2,100 grams,2 kilograms,17 kilograms,208 kilograms.
The measure from least to greatest is 18 gm < 10 gm< 17 Kg < 2Kg < 2300 gm < 208 Kg.
What is Ascending Order?The arrangement of numbers or other things in increasing order from least to greatest is known as ascending order. Ascending order is demonstrated by numbers on a number line, which are listed from left to right.
Given:
18gm, 17 Kg, 100 gm, 2 Kg, 2300 gm, 208 Kg
Converting all the units into gram we have
18 , 1700, 100, 2000, 2300, 208000
So, the mass from least to greatest.
18 < 100 < 1700< 2000< 2300 < 208000
Hence, 18 gm < 10 gm< 17 Kg < 2Kg < 2300 gm < 208 Kg.
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Help picture below problem 18
Answers
Solution :-
This triangle is a right angled triangle as we can see ∠POC, has a right angled sign. Now, we will assume the missing angle to be x, thus,
25° + 90° + x = 180° ( Angle sum property of a triangle )
115° + x = 180°
x = 180° - 115°
x = 65°
Thus, the measure of missing angle is 65°.
Hope that helps. :D
Each marble bag sold by Lashonda's Marble Company contains 8 orange marbles for every 5 red marbles. If a bag has 45 red marbles, how many orange marbles does the bag contain?
Answers
Answer:
72 orange marbles
Step-by-step explanation:
First, divide 45 by 5 to determine how many red units there are. Then, use that number (9) to multiply with 8 to get the number of orange marbles, which is 72.
Hopefully this helps- let me know if you have any questions!
Hi! Could someone help me with this?
Answers
Answer:
480 in^3
Step-by-step explanation:
Volume = B*h
Base of the triangle = B*h*1/2
= 10*8*1/2
B = 40
Volume = 40*12 = 480
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 -7
Answers
I hope this is the answer you were looking for!
5 divided by 62.55 need help asap due today and also i cant watch ads
Answers
HELP ME OUT PLS!!!!!
Solve for x.
A) -30
B) -6
C) 6
D) 30
Answers
Step-by-step explanation:
-3x + 6 = 2x - 24
6 = 5x - 24
30 = 5x
x = 6
Gabrielle is 15 years older than Mikhail. The sum of their ages is 81. What is Mikhail's age?
Answers
Answer:
33
Step-by-step explanation:
let g be Gabrielle age
m be mikhail age.
So according to this problem,
[tex]g + m = 81[/tex]
[tex]m + 15 = g[/tex]
Subsitue m+15 for g.
[tex](m + 15) + m = 81[/tex]
[tex]2m + 15 = 81[/tex]
[tex]2m = 66[/tex]
[tex]m = 33[/tex]
So mikhail age is 33.
y²=(x-y)(x²+y) find the derivative
Answers
Answer:
0
Step-by-step explanation:
Find the sum of 458 and 342
Answers
Answer: 800
Step-by-step explanation:
Find the distance between the points ( -22.79, 0.76) and (-12.64, 12.02)
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Answer:
Step-by-step explanation:
Would like to know how to do this problem.
Answers
well it would be very helpful thank you
Enter the number of rows needed and the number of seats that will be left over.
Answers
Answer: 6.
Step-by-step explanation: The total number of seats is 328. There are 14 rows with 23 seats in each row. To solve this, we need to multiply the amount of rows with the amount of seats in each row, which would look like this:
14 x 23 = 322.
As you can see, there are only 322 seats. However, there are 328 seats in total, so there are 6 extra seats that aren't in a specific row. Therefore, there are 6 extra seats.
Hope this helps! :)
What is the range of this data set?
36.6, 39.8, 33.3, 34.8, 35.8, 39.6, 36.7, 36.9, 37.5, 32.2, 33.1, 33.3
Answers
Answer:
Step-by-step explanation:
39.8 - 32.2 = 7.6
Range is subtracting the highest and lowest numbers by each other .
Based on the calculations, the range for this data set is equal to 7.6.
What is a range?In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.
Mathematically, range is calculated by using this formula;
Range = Highest number - Lowest number
From the given data set, we have:
Highest number = 39.8.Lowest number = 32.2.Substituting the given parameters into the formula, we have;
Range = 39.8 - 32.2
Range = 7.6.
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What is the volume of the solid figure?
The solid shape is made up of two rectangular prisms. The first rectangular prism has a height of 10 inches, length of 5 inches, width of 5 inches and with connecting to the second rectangular prism, has a smaller height of 5 inches. The second rectangular prism has a length of 15 inches, height of 5 inches, width of 5 inches. The total length of the solid is 20 inches.
Answers
Answer:
A solid figure has three dimensions while a plane figure has only two dimensions. The space enclosed by a solid figure is called its volume. The volume of a solid figure is measured in cubic units such as cubic centimetres (cm3) and cubic metres (m3).
Step-by-step explanation:
Hope this helps....
Answer:
i think we're in the same class lol, but i just took the quick check and the answer was 625in, which would be A
Step-by-step explanation:
Need help please!
1.) m varies directly as a and b; m=10 when a=4 and b=7. Find m when a=11 and b=8.
2.) q varies jointly as x and y. Find q when x=2 and y=5, given that q=90 when x=3 and y=5.
3.) F varies jointly as x and y. If F=1 when x=1/2 and y=1/3, find F when x=2 and y=3.
4.) Let x be proportional to p and q^2, and inversely proportional to r^3. If x=9 when p=4, q=9, and r=3, find x if p=6, q=2, and r=5.
Answers
Answer:
4) v=kx^2/y^3
2= k(4^2)/(3^3)
2 =k16/27
k = 2(27/16) = 27/8
v = (27/8)(3^2)/(2^3 = (27/8)(9/8) = 243/64
v = 243/64 when x=3 and y=2
Step-by-step explanation:
here
F varies jointly as x and y and the value of x is 3 and y is 2.
We have given that,
1.) m varies directly as a and b m=10 when a=4 and b=7. Find m when a=11 and b=8.
What is the formula?v=kx^2/y^3
2= k(4^2)/(3^3)
2 =k(16/27)
k = 2(27/16)
k = 27/8
v = (27/8)(3^2)/(2^3)
= (27/8)(9/8)
= 243/64
v = 243/64 when x=3 and y=2.
Therefore we get the value of x is 3 and y is 2.
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