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3 years ago

13

Estimate a 15% tip on a dinner bill of 31.51 by first rounding the bill amount to the nearest ten dollars.

1 answer:

tino4ka555 [31]3 years ago

7 0

Answer: The estimated 15% tip would be $4.50.

Step-by-step explanation: Basically, first you will need to round the bill amount, $31.51 to the nearest ten dollars. 31.51 rounded to the nearest ten dollars is $30. Next, you will need to find the estimated tip amount. To do this multiply $30 by the tip 15%. Before you can find the tip amount, you will need to covert 15% to a decimal. To convert 15% to a decimal, divide 15 by 100 to get 0.15. Now, you can multiply 30 by 0.15 to get 4.50. So, $4.50 would be the tip if $31.51 was rounded to the nearest ten dollars.

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The scale of a drawing is 2 cm : 1 mm. Is the scale drawing larger or smaller than actual object? Explain.

Margarita [4]

The scale of the drawing is larger than the actual object, because for every 2 centimeters shown, the actual object is 1 millimeter long.

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3 years ago

Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. Th

Naya [18.7K]

Answer:

39.25 cubic feet of paint will be needed by Ellis.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder of radius r and height h is given by:

$V = \pi r^2h = 3.14r^2h$

How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?

This is the combined volume of these 10 fenceposts.

They are each 5 feet tall and have a diameter of 1 foot.

Radius is half the diameter, so $r = \frac{1}{2} = 0.5$ . Also $h = 5$

10 fenceposts:

Each has the same volume, so:

$V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25$

39.25 cubic feet of paint will be needed by Ellis.

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2 years ago

A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.

gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ] , substitute values

$S_{17}$ = $\frac{17}{2}$ ( 2(- 8d) + 16d)

= 8.5(- 16d + 16d)

= 8.5 × 0

= 0

5 0

2 years ago

Convert 1.5 kg to g.

KiRa [710]

The answer is 1500g. There are 1000 grams in a kilogram so 1.5 x 1000 = 1500.

6 0

2 years ago

Read 2 more answers

let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve

kiruha [24]

9514 1404 393

Answer:

(x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

3x -y = 22

x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

2(3x -y) +(x +2y) = 2(22) +(12)

7x = 56

x = 8

Substituting into the first equation gives ...

3(8) -y = 22

y = 24 -22 = 2

The first number is 8; the second number is 2.

7 0

3 years ago