The area of a rectangle is 56 square yards. Its length is 2 yards more than three times its width. Find its dimensions
Answers
The width is 4 and length is 14 yards
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Area of rectangle= 56 square yards.
let the width be x.
So, length = 3x+ 2
So, Area of rectangle= 56 square yards.
length x width = 56
x(3x+2 )= 56
3x² + 2x -56= 0
3x² + -56= 0
3x( x - 4 ) + 14 ( x - 4) = 0
(3x+ 14) (x- 4) = 0
x= 4, -14/3
Hence, the width is 4 and length is 14 yards.
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Fill in the blanks to explain one way to solve this system of equations using elimination.
6x + 2y = 14
5x – 2y = 8
First, add the two equations to get 11x = ____. Then substitute for x in either equation to get y =___.
PLEASE HELP
Answers
Answer: answer is Firts add the two equations to get 11x=22 Then substitute 2 for x in either equation to get y= 1
Step-by-step explanation:so [22][ 2] and ( 1) should be your answers and if your in quiziz mark that is true if ur not then mark my answers
The blank places can be filled as, First, add the two equations to get 11x=22. Then substitute for x in either equation to get y =1.
What is a System of the equation?Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The equation can be solved by adding the two of the given equation,
[tex]6x + 2y + 5x - 2y = 8+14\\\\11x = 22[/tex]
As we get the values of 11x=22, find the value fo x which is 2, substitute the equation in either of the given equation,
6x + 2y = 14
6(2) + 2y = 14
2y = 14 - 12
y = 1
Thus, the value of y is 1.
Now, the blank places can be filled as, First, add the two equations to get 11x=22. Then substitute for x in either equation to get y =1.
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Justine is planting flowers in a line that is 1/2 of a yard long. She is going to plant 6 flowers. How far apart will each flower be?
Answers
Answer:
3 inches apart
Step-by-step explanation:
1/2 yard is 1ft. 6in. in decimal that is 1.5 ft
1.5 ÷6 = 0.25ft
0.25ft is 3 inches so the answer is three inches apart
-1/6 x -2 1/10 = ?
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Step-by-step explanation:
solve for x:0.75x=22.50
Answers
Answer:
30
Step-by-step explanation:
divide by 0.75 on both sides.
so,
[tex]x = \frac{22.50}{0.75} [/tex]
the answer is x=30
this Is my question
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Step-by-step explanation:
h^2/ h^2×g^3= 1/g^3= g^-3 -----> ?=-3
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Answers
Answer:
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Step-by-step explanation:
1. find area of rectangle
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2. find area of triangle
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Noah has a coupon for 30% off at his favorite clothing store . He uses it to buy a hoodie . The regular price of a hoodie is $27. What did Noah pay for the hoodie?
Answers
Answer:
$18.90
Step-by-step explanation:
The way to do percentages is actually pretty easy.
since it's taking 30% of you are left with 70%. Take 70 and divide it by 100. This gives you .70
Now what you do is you take the price of the time and multiply it by the .70
So 27.00 * .7 = 18.90
So Noah paid 18.90
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Answers
Answer:
7.35
Step-by-step explanation:
5 pounds -> 5.25
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7 pounds-> 7.35
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Step-by-step explanation:
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The price of an ice cream cone is $3.25, but it costs $3.51 with tax. What is the sales tax rate? (Round to the nearest whole percentage)
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Answer:
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Are the following triangles congruent? If so, identify the postulate and finish the congruent statement.
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Postulate:
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Given is the two angles congruence but this is not enough to prove the congruence of the triangles.
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Answer:
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Step-by-step explanation:
If it's on a line on a graph you count how many it goes up until it's aligned with the next point and then you count how ever many over until it hits it. So it could be 2 up and 4 over making the slope 2/4.
I'm sorry that might not make much sense I'm bad at explaining but let me know if that helps at all!!
Seven more than half of a number is 12.
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In order to create a system of equations with the same solution as the system {x+y=102x+y=14, { x+y=10 2x+y=14 , Camilo multiplied both sides of the second equation by a number, added the new equation to the first equation, and replaced the first equation with the result. Which system of equations could be Camilo's new system?
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Answer:
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Step-by-step explanation
i re took the test until i got it right to answer this lol, its correct and good luck with school
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Maddie is setting up tables for a party. Five of the tables are covered with orange tablecloths, and ten of the tables are covered with white tablecloths. Guests will be randomly seated at the tables when they arrive. Each table can seat 8 guests.
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Answers
Answer:
There is a 1/3 chance.
Step-by-step explanation:
5 of the tables are covered in orange and 10 are covered in white,
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3x + 2y = 21 x - 4y = -7
show work plz and thx
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•your answer:
x=-2/3y+7
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Step-by-step explanation:
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Which of the following shows a translation of f(x) two units down?
A. f(x + 2)
B. f(x) + 2
C. f(x – 2)
D. f(x) – 2
Answers
Answer: D. f(x)-2
Step-by-step explanation:
Changes insides the parenthesis translate left and right. If it is [+] a number, then it is moving to the left. If it is [-] a number, then it is moving to the right.
Changes outside the parenthesis translate up and down. If it is [+] a number, then it is moving upward. If it is [-] a number, then it is moving downward.
----------------------------------------------------------------------------------------------------
Given
Translate f(x) 2 units downward
Solve
According to the rules, it should be -2 units outside of the parenthesis
Therefore, it should be f(x)-2
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Step-by-step explanation:
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3x-2y=10 7x=2y=30
yea no i dont know how to do this.