Yasmine is serving ice cream with the birthday cake at her party.She has perchased 19 1/2 pints of ice cream.She will serve 3/4 of a pint to each guest. How many guests can be served ice cream? Will there be any ice cream left?Justify your thinking

Answers

Answer 1

Answer:

The number of guests that will be served ice cream is 26 guests and there will be no ice cream left.

The total number of ice cream purchased by Yasmine at her party is:

$\mathbf{=19 (1)/(12) \ pints}$

If each guest gets served with 3/4 pints, then the number of guests that will receive the shared amount of pints is:

$\mathbf{= (3)/(4) \ pints}$

∴

The number of guests that can be served ice cream now is:

$\mathbf{= (19 (1)/(12) \ pints)/( (3)/(4) \ pints)}$

$\mathbf{= ( (39)/(2) \ pints)/( (3)/(4) \ pints)}$

$\mathbf{= { (39)/(2) }* { (4)/(3)}}$

$\mathbf{= { (13)/(1) }* { (2)/(1)}}$

= 26 guests

Therefore, we can conclude that the number of guests that will be served ice cream is 26 guests and there will be no ice cream left.

Learn more about fractions here:

brainly.com/question/18134643?referrer=searchResults

Answer 2

Answer: If you know your mathematics you should soon find out that 26 people can enjoy 3/4 pints of ice cream. There will be no ice cream left for anyone else.:-)

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A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she's made 1,200 coffees?

Answers

16 times x=1200 or
16x=1200
divide both sides by 16
1200/16
so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)
1200=3*2*2*2*2*5*5
16=2*2*2*2*1
so we notice that there are four 2's in both so those are the 'ones' so cross them off and get
3*5*5/1 or 75/1 or 75 hours

75 hours
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1. Select all polynomial expressions that are equivalent to 6x4 + 4x2 – 7x² + 5x + 8.A. 16x10
B. 6x5 + 4x4 – 7x3 + 5x² + 8x
C. 6x4 + 4x3 - 7x2 + 5x + 8
D. 8 + 5x + 7x2 - 4x3 + 6x4
E. 8 + 5x – 7x2 + 4x3 + 6x4

Answers

Answer:

Options (C) and (E)

Step-by-step explanation:

Given polynomial is,

6x⁴+ 4x³- 7x² + 5x + 8

So all the polynomials which are (look alike) similar in terms of degree and number of terms to the given expression will be equivalent.

Option (A).

$16x^(10)$

It's a monomial. So not the answer.

Option (B).

6x⁵ + 4x⁴ - 7x³ + 5x² + 8

This polynomial is a 5th degree polynomial, will not be equivalent to the given polynomial expression with 4 degree.

Option (C).

6x⁴ + 4x³ - 7x² + 5x + 8

All the terms and signs between the terms of this expression are similar to the given polynomial expression,

Expression will be equivalent to the given polynomial expression.

Option (D)

8 + 5x + 7x² - 4x³ + 6x⁴

= 6x⁴- 4x³ + 7x² + 5x + 8

Both are similar in number of terms and degree but signs between the terms are different.

Therefore, both the expressions are will not be equivalent.

Option (E).

8 + 5x - 7x² + 4x³ + 6x⁴

= 6x⁴ + 4x³ - 7x² + 5x + 8

Since, both the polynomials are similar so they are equivalent.

True or False? 1. All real numbers are either rational or irrational?

2. Every real number can be represented as a decimal, and every decimal represents a real number?

Answers

"Every real number can be represented as a decimal, and every decimal represents a real number"

Every real number can be represented as a decimal --> True since non-terminating decimals are decimals too.

And every decimal represents a real number --> This is just the vice versa of the first statement. Hence true.

That's making the whole statement true.So both the statements are true.

1.666667 as a fraction

Answers

= 1.666667

= 1.666667 / 1

Numerator = 1.666667 × 10 × 10 × 10 × 10 × 10 × 10 = 1666667

Denominator= 1 × 10 × 10 × 10 × 10 × 10 × 10 = 1000000

⇅⇅⇅⇅⇅⇅⇅⇵⇵⇵⇵⇵⇵⇵⇵⇵⇵

= 1666667/1000000

= 1 666667/1000000

Convert to a fraction by placing the decimal number over a power of 10.
1666667/1000000

A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to the pagoda at the startdashfinish line is d feet. Express the horizontal distance h as a function of d.