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Cerrena [4.2K]
2 years ago
10

Estimate a 20% tip on a dinner bill of $161.86 by first rounding the bill amount to the nearest ten dollars.

Mathematics
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

See below

Step-by-step explanation:

<u>If you just want the tip</u>

<u />0.20*161.86\approx\frac{1}{5}*160=32

<u>If you want the total bill</u>

<u />1.20*161.86\approx160+32=192

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A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2. 3
fredd [130]

The height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.

<h3>How to model a mathematical function?</h3>

The mathematical functions is used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple mathematical function-

  • Identify all the factors of the expression.
  • Assume a variable for the changing values.
  • Put a coefficient for the variable, if there is any rate of change of variable.
  • Use constant numbers for the fixed values.

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second.

After approximately 2.3 seconds, the ball lands on the ground.

The ball’s motion can be modeled using the function

f(x) = -10x^2 +20x+ 8

Here, x represents the time in seconds.

As, the height of the ball 1.5 seconds after it is thrown has to be found out. Thus, put the values of in the above equation as,

f(x) = -10(1.5)^2 +20(1.5)+ 8\\f(x)=-22.5+30+8\\f(x)=15.5\rm \; m

Hence, the height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.

Learn more about the modeling the mathematical function here;

brainly.com/question/25896797

3 0
2 years ago
A vending machine dispenses coffee into a twelve ounce cup he amount of coffee dispensed into the cup is normally distributed wi
KIM [24]

Answer:

this mean amount of coffee to be dispensed would be 11.99, approximately 12

Step-by-step explanation:

first of all we have this information available to answer this question.

standard deviation σ = 0.006 ounces

prob(x > 12) = 0.04

we use this formular to find the mean

z = x - μ/σ

 the value of the z score at 4% is equal to 1.7507

such that

1.7507 = \frac{12-u}{0.006}

we cross multiply from this stage

1.7507*0.006 = 12-μ

0.0105042 = 12-μ

μ = 12 - 0.0105042

herefore, the mean amount μ = 11.99 this can be approximated to 12

7 0
2 years ago
Which expressions are equivalent to (5⋅x)⋅3 ?
MatroZZZ [7]
The <span>expressions that are equivalent to </span><span>(5⋅x)⋅3 are, </span><span>A,C,and D.

A. 3⋅(5⋅x)</span>
<span>B. 5⋅3+x⋅3
C. 5⋅(x⋅3)
D. 15x
E. 5⋅3⋅x⋅3 </span>






8 0
3 years ago
Give three numbers between 8 and -8
Scorpion4ik [409]

2, -1, -4

you have -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3 , 4 , 5, 6 , 7. 8

4 0
3 years ago
Read 2 more answers
Sam wants to take his drone on a car trip. An hour before they plan to leave, he realized that he forgot to charge the batteries
snow_lady [41]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete..

The given parameters can only solve for the number of hours the battery can last if at full capacity.

Given

25% = 4.5 hours

Required

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First, we need to determine the full capacity (100%)

So, we have:

25% = 4.5 hours

100% = x

Cross Multiply

25% * x = 100% * 4.5 hours

Divide both sides by 25%

x = 4 * 4.5 hours

x = 18 hours

Hence, the battery at full capacity is 18 hours.

So, to answer the question, you need to check the given list of brands.

The brand closest to 18 hours answers the question

7 0
3 years ago
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