What is 1/6+1/2 in its simplest form?

Answers

Answer 1

Answer: you have to find the common denominator for the 2 fractions.
leave 1/6 the same and turn ½ into 3/6.
then you can add 1/6+3/6 and get 4/6
then divide the numerator and the denominator by 2 any get ⅔
so ⅔ is your answer
Hope I helped :)

Answer 2

Answer: 1/2. 1/6
1/2×3=3/6
3/6+1/6=4/6
4/6=2/3

2/3

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You need to paint the three rectangular sides of the right triangular prism below. How much paint do you need to cover all the rectangular faces of the prism?A prism which has a right triangle for the base and a height of 12 inches. The legs of the right triangle are 5 inches and 12 inches.A. 300 in² B. 360 in² C. 204 in² D. 420 in²

Zwelibanzi and Jessica are friends. Zwelibanzi takes Jessica’s civil technology test paper and will not tell her what her mark is. He knows Jessica dislikes word problems so he decides to tease her. Zwelibanzi says: : I have 12 marks more than you do and the sum of both our marks are equal to 148. What are our marks?

Answers

Answer:

80 and 68

Step-by-step explanation:

Jessica's marks = x

Zwelibanzi's marks = y

We get following equations as per given:

y - x = 12
y + x = 148

Sum up the two equations to substitute x:

2y = 12+148
2y = 160
y = 160/2
y = 80

And finding the value of x:

x = y -12
x = 80 -12
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A number to the 12th power divided by the same number to the 9th power equals 64 what is the number

Answers

Answer:

The statement written as a formula is. a12a9=125. We can simplify the fraction, and we have. a3=125. To solve for a , take the third root

Step-by-step explanation:

When x = 3 and y = 5, by how much does the value of 3x^2 – 2y exceed the value of 2x^2 – 3y ?F. 4
G. 14
H. 16
J. 20
K. 50

Answers

$3\cdot3^2-2\cdot5-(2\cdot3^2-3\cdot5)=27-10-(18-15)=17-3=14$

55. If 3x = 4y, the value of (x + y)^2 : (x - y)^2 is:

Answers

Answer:

$\large\boxed{(x+y)^2:(x-y)^2=49}$

Step-by-step explanation:

$3x=4y\qquad\text{subtract}\ 3y\ \text{from both sides}\n\n3x-3y=y\qquad\text{distributive}\n\n3(x-y)=y\qquad\text{divide both sides by 3}\n\nx-y=(y)/(3)\qquad(*)\n------------------\n3x=4y\qquad\text{add}\ 3y\ \text{to both sides}\n\n3x+3y=7y\qquad\text{distributive}\n\n3(x+y)=7y\qquad\text{divide both sides by 3}\n\nx+y=(7y)/(3)\qquad(**)\n------------------$

$(x+y)^2:(x-y)^2=((x+y)^2)/((x-y)^2)\qquad\text{use}\ \left((a)/(b)\right)^n=(a^n)/(b^n)\n\n=\left((x+y)/(x-y)\right)^2\qquad\text{substitute}\ (*)\ \text{and}\ (**)\n\n=\left(((7y)/(3))/((y)/(3))\right)^2=\left((7y)/(3)\cdot(3)/(y)\right)^2\qquad\text{cancel}\ 3\ \text{and}\ y\n\n=(7)^2=49$

1. Solve for x.x + 11 = 3
-11
-11
x=- 8
2. Solve for x.
x + 5 = 11
25-5
*=6)
3. Solve for z.
2-33 = 40
+33 +33
(2
=
–
7
4. Solve for x.
- 8x = 56

Answers

Answer:

for #4 x=-7

Step-by-step explanation:

a negative times a negative is a positive and 8 times 7 = 56

Which best explains whether a triangle with side lengths 5cm , 13cm and 12 cm is a right triangle the triangle is a right

Answers

Answer:

Right triangle.

Step-by-step explanation:

We are asked to determine whether the given side lengths are sides of a right triangle or not.

We know that side lengths of a right triangle are Pythagoras triplets. The square of the longest must be equal to sum of squares of other sides.

Let us check sides of our given triangle.

$13^2=5^2+12^2$

$169=25+144$

$169=169$

Since both sides of equation are equal, therefore, the given side lengths are sides of a right triangle.

Answer:

A: The triangle is a right triangle because 5 (to the 2nd power) + 12 (to the second power) = 13 (to the second power)

Step-by-step explanation:

25 + 144 = 169

169 = 169

To determine if it is a right angle, take all three numbers and multiply them by the second power. After you get all the numbers in their second power form, look at the first two numbers. If they equal the same as the third number, that is a right angle.

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