a family went out to dinner and the bill was $113. If they want to leave a 19% tip, how much tip should they leave?

Answers

Answer 1

Answer: In this problem there are several vital information's that have been given. Based on them it is possible to find the required answer.It is already mentioned that the amount of bill for the family is $113. Percentage of tips to be given is 19%
Then
The amount of tips given by the family = 113 * (19/100)
= 113 * 0.19
= 21.47
So the family should leave a tips of $21.47. Sometimes it could additionally be required to find the total amount that the family has to pay. In that case it is required to add the amount of tips with the billed amount.

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1. How many solutions are there for the equation? x2 + 16 = 8x (Points : 1) 2
1
0

Answers

$x^2 + 16 = 8x\n\nx^2-8x+16=0\n\nx^2-4x-4x+16=0\n\nx(x-4)-4(x-4)=0\n\n(x-4)(x-4)=0\n\n(x-4)^2=0\ \ \ \Leftrightarrow\ \ \ x-4=0\ \ \ \Leftrightarrow\ \ \ x=4\n\n Ans.\ One\ solution$

Every equation that has an ' x² ' in it has two solutions.

If it's a perfect square, then the solutions are equal, and they look like only 1.

Both solutions to this equation are [ x = 4 ] .

Layla wrote a report about insects. She listed the lengths of the tiger beetles, carpenter ants , and aphids . The lengths were 1/2 inch,5/8 inch, and 1/8 inch. a tiger beetle is bigger than carpenter ant. a carpenter ant is bigger than aphid. list the sizes of each insect.

Answers

the sizes are as following:

tiger beetle: 5/8

carpenter ant: 1/2

aphid: 1/8

What is being done to the variable in the equation y + 8.5 = 17.2? The number 8.5 is being added. The number 8.5 is being subtracted. The number 17.2 is being added. The number 17.2 is being subtracted.

Answers

The number 8.5 is being added, y is the variable and the equation shows y being added to 8.5 to equal 17.2

Number 8.5 is being added to y

A 36 inch board is cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. If X represents the length of the first piece, find the lengths of all three pieces

Answers

Answer:

First piece = 4 inch, second piece = 12 inch , third piece = 20 inch

Step-by-step explanation:

Length of the board = 36 inch

Let, the length of the first piece = X

So, according to the question

Second piece = 3 times X = 3x

Third piece = 5 times X = 5X

Now, first piece + second piece + third piece = total length of the board

⇒ X + 3X+ 5X = 36 inch

or, 9X = 36 inch

or, X = 36/9 = 4 inch

So, length of the : First piece = 4 inch

Second Piece = 3X = 3 x 4 = 12 inch

Third piece = 5X = 5 x 4 = 20 inch

Luke has 27 lots for sale. Each lot is 0.57 acres . How much land does Luke have for sale?

Answers

Multiply 0.57 and 27 together to get 15.39 acres

5 2/3 divided by 2 im terrible at fractions

Answers

You can make the mixed number 5 2/3 an improper fraction, which is the number in the numerator is larger than the number in the denominator.
Multiply, Add, and Keep the denominator are the steps you need to take.
Multiply the denominator by the whole number and then add the number in the numerator, while keeping the denominator. 5*3+2=17>>> 17/3 is the improper fraction.
17/3 ÷ 2 is the resulting equation.
When you divide fractions, you have to multiply by the reciprocal. 2/1 is the whole number 2, but in fraction form. The reciprocal is 1/2 because your just flipping the numerator and the denominator.
17/3 * 1/2 is the new equation.
When you multiply fractions, you multiply straight across.
17/3 * 1/2 = 17/6 or 2 5/6 is your answer.

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