The rhombus has four equal sides ⇒ JK=ML=KL
4x-8 = x+13
4x - x = 13 + 8
3x = 21
x = 7
ML = x+13 = 7 + 13 = 20
KL=ML ⇒
6y+2 = 20
6y = 20-2
6y = 18
y = 18/6
y = 3
Answer:
It changes 3 inches
Step-by-step explanation:
Because every time she takes a sip it goes down, I can’t really explain it good but it changes 3 inches as she took 3 sips of water.
A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot. The weight of the tabletop, in pounds, is 1032.
<h3>What is the volume of the rectangular tabletop?</h3>
The volume of the rectangular tabletop is the product of the length, breadth, and height of the given tabletop.
Volume of rectangular tabletop= (length x width x height)
The tabletop will have a length of eight feet, a width of three feet, and a thickness of one inch.
Volume of rectangular tabletop= (length x width x height)
=
A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot.
The weight of the tabletop, in pounds = 43 x 24
= 1032 pounds
Learn more about rectangular tabletop;
brainly.com/question/15843335
#SPJ1
Answer:
(-5/8, 13/4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
2x + 5y = 15
8x + 4y = 8
<u>Step 2: Rewrite systems</u>
8x + 4y = 8
- Subtract 8x on both sides: 4y = 8 - 8x
- Divide 4 on both sides: y = 2 - 2x
<u>Step 3: Redefine systems</u>
2x + 5y = 15
y = 2 - 2x
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 5(2 - 2x) = 15
- Distribute 5: 2x + 10 - 10x = 15
- Combine like terms: -8x + 10 = 15
- Isolate <em>x</em> term: -8x = 5
- Isolate <em>x</em>: x = -5/8
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: 2x + 5y = 15
- Substitute in <em>x</em>: 2(-5/8) + 5y = 15
- Multiply: -10/8 + 5y = 15
- Simplify: -5/4 + 5y = 15
- Isolate <em>y</em> term: 5y = 65/4
- Isolate <em>y</em>: y = 13/4
<u>Step 6: Graph systems</u>
<em>Check the solution set.</em>
The solution set is equivalent (is in decimal form).