Answer:
x = 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality<u>
</u>
<u>Algebra I</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
<em>a</em> = 12
<em>b</em> = 5
<em>c</em> = x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [PT]: 12² + 5² = x²
- Evaluate exponents: 144 + 25 = x²
- Add: 169 = x²
- [Equality] Square root both sides: ±13 = x
- Rewrite: x = ±13
Since we are dealing with positive numbers, we can disregard the negative root.
∴ x = 13
There are 7 dimes out of 24 total coins in the collection put 7/24 in a calculator and you should get .2916 repeating
The formula for this equation is -6 for each number. So the answer your looking for is 9...3....-3....-9....-15.....-27. Hope I helped you out.
You can solve this by setting up 2 equations and solving quadratically.
perimeter of a rectangle is found by the formula 2*base + 2*height = perimeter.
area is found by base*height=area.
2b+2h = 24 and b*h=27 solving one equation for base or height and substituting in the other equation will give us an equation we can use for this particular problem. solving b*h=27 for b will give us b= 27/h. substituting this into the perimeter equation we get 2(27/h) + 2h = 24. If we use algebra to manipulate the equation we get 24-2h= 2(27/h) so 24-2h = 54/h multiplying both sides by h give (24-2h)h = 54 moving the 24h-2h^2 to the other side gives 0 = 2h^2-24h+54 solving the quadratic for h gives (2h+6)(h+9)=0 so solving for h we get h=6/2 = 3 or h=9 is we use h =9 and plug it into the original equation for 2b+2h=24 then we get 2b+2(9)= 24 so then 2b = 24-18 so b = 6/2 =3. so we get 2(3)+2(9)=24 so 6+18=24 for perimeter and for b*h=27 we get 3*9=27 so the dimensions are 3x9 3 is the shorter side and 9 is the longer side = 3x9
Answer:
he bought 6 hats.
Step-by-step explanation:
im just gonna go through this 1 at a time. starting at 1.
12 + (14x9) = 138
(12x5)+(14x5) = 130
(12x4)+(14x6) = 132
(12x8)+(14x2) = 124
(12x6)+(14x4) = 128
