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Nataly [62]
3 years ago
9

Estimate a 15% tip on a dinner bill of $73.55 by first rounding the bill amount to the nearest ten dollars.

Mathematics
1 answer:
mixer [17]3 years ago
8 0

Answer:

round 73.55 to 70.00 add 15%(10.50) = 80.50

Step-by-step explanation:

round 73.55 to 70.00 add 15%(10.50) = 80.50

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find the dimensions of a rectangle whose width is 4 miles less than its length and whose area is 96 square miles
Scilla [17]

Answer:

12 miles by 8 miles

Step-by-step explanation:

Let length be represented by x

Since width is 4 miles less than the length, therefore, the width will be (x-4) miles

Area=Length*Width

Area=x(x-4)=x^{2}-4x

Area is given hence

x^{2}-4x=96

To write the above equation as a quadratic equation

x^{2}-4x-96=0

By factorization, we find two numbers whose sum is -4 and product is -96, these are 8 and -12. Therefore, taking these two numbers back to our equation

(x+8)(x-12)=0

Therefore, x=-8 or 12

Equally, using quadratic formula of

x=\frac{-b±\sqrt{b^{2} -4ac}}{2a} for equation ax^{2}+bx+c=0 and in our case a=1, b=-4 and c=-96

x=\frac{4±\sqrt{(-4)^{2} -(4*1*-96)}}{2*1}

x=-8 or 12

Since length can't be negative, hence x=12

The length is 12 miles

Width=12-4=8 miles

Dimensions: 12 miles by 8 miles

3 0
3 years ago
Paul has a life insurance policy that will pay his family $30,000 per year if he
horsena [70]

Answer:

Step-by-step explanation:

C. $2 million

6 0
3 years ago
Assume that when adults with smartphones are randomly​ selected, 48​% use them in meetings or classes. If 8 adult smartphone use
Lisa [10]

Answer:

The probability is 2.2%

Step-by-step explanation:

The probability that a randomly selected adult uses the telephone in classes is always equal to 0.48.

If x represents the number of adults selected from among the 8 that the telephone uses in classes, then x is a discrete random variable that follows a binomial distribution, with:

p = 0.48

q = 0.52

n = 8

We want to find the probability of x = 5

P(x) = \frac{n!}{x!(n-x)!} *p ^ n *q ^{n-x}\\\\ P(x = 5) = \frac{8!}{5!(8-5)!} * 0.48 ^ 8 * 0.52 ^ 3\\\\ P(x = 5) = 0.02218

The probability is 2.2%

6 0
3 years ago
Josephine can correct her students' test papers in 9 hours, but if her teacher's assistant helps, it would take them 7 hours. Ho
kirill [66]

Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.

<h3>What is the together rate?</h3>

It is the sum of each separate rate.

In this problem, the rates are given as follows:

  • Josephine: 1/9.
  • Assistant: 1/x.
  • Together: 1/7.

Hence:

\frac{1}{9} + \frac{1}{x} = \frac{1}{7}

\frac{x + 9}{9x} = \frac{1}{7}

9x = 7x + 63

2x = 63

x = 31.5.

It would take the assistant 31 hours and 30 minutes to do it alone.

More can be learned about the together rate at brainly.com/question/25159431

7 0
2 years ago
{4x − 3y = −32x + 6y = −4 Solve the system of equations.
Harrizon [31]

Answer:

Sorry I don't know that one

5 0
3 years ago
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