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3 years ago

Basic math

Mathematics

2 answers:

LenKa [72]3 years ago

8 0

Answer:

The quotient contains a terminating decimal and The quotient is a whole number less than 11.

Step-by-step explanation:

To answer this one, it's mandatory to remember that quotient, is the outcome of a ratio: a number (r) over another (s) (different than 0). In this case: $\frac{81}{918}$ . So q is equal to =0.08823529411.

Analyzing the number: 0.08823529411

This is not a repeating decimal, but it is a terminating decimal for it has an end.

The quotient is also a whole number less than 11.

The Whole Set of numbers is made up of the following numbers W ={0,1,2,...} and 0 < 11. Therefore it is true.

Aliun [14]3 years ago

5 0

Answer:

The quotient contains a terminating decimal and The quotient is a whole number less than 11.

Step-by-step explanation:

To answer this one, it's mandatory to remember that quotient, is the outcome of a ratio: a number (r) over another (s) (different than 0). In this case:. So q is equal to =0.08823529411.

Analyzing the number: 0.08823529411

This is not a repeating decimal, but it is a terminating decimal for it has an end.

The quotient is also a whole number less than 11.

The Whole Set of numbers is made up of the following numbers W ={0,1,2,...} and 0 < 11. Therefore it is true.

Step-by-step explanation:

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An airplane travels 2951 miles in 6.5 hours. what is the speed of the airplane in miles per hour?

Gre4nikov [31]

The speed of the airplane = 2951 / 6.5 = 454 mph

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3 years ago

A car salesman makes 2% commission on all cars, x, that he sells. How much commission does he make?

HACTEHA [7]

Answer: 0.02x

Step-by-step explanation:

The value of the cars the salesman makes is x in this instance.

The salesman makes a 2% commission on every sale so this can be represented by multiplying 2% by the value of the cars which in this case is x.

= 2% * x

= 0.02 * x

= 0.02x

If for instance he sells $40,000 worth of cars, his commission would be:

= 0.02 * x

= 0.02 * 40,000

= $800

8 0

3 years ago

1/4(1-2/3)^2+1/3 Simplify

MrMuchimi

Simplifying the expression gives 13/ 36

<h3>How to solve the expression</h3>

Given;

1/4(1-2/3)^2+1/3

Represented as;

$\frac{1}{4} * ( 1 - \frac{2}3} )^2 + \frac{1}{3}$

Take the LCM of the bracket

$\frac{1}{4} * ( \frac{1}{3} )^2 + \frac{1}{3}$

Find the square

$\frac{1}{4} (\frac{1}{9} )+ \frac{1}{3}$

Find the LCM

$\frac{1}{36} + \frac{1}{3}$

1 + 12/36

13/ 36

Thus, simplifying the expression gives 13/ 36

Learn more about fractions here:

brainly.com/question/1622425

#SPJ1

6 0

1 year ago

Read 2 more answers

For which value(s) of x are the triangles congruent?

Varvara68 [4.7K]

Step-by-step explanation:

The solutions are 2 and 5

Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:

x^2 = 7x - 10

Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.

x^2 + 10 = 7x

Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.

x^2 - 7x + 10 = 0

Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.

(x - 2)(x - 5) = 0

You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.

x - 2 = 0

x = 2

One of the solutions is 2, because you add 2 to x to get 0.

x - 5 = 0

x = 5

The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.

2^2 = 7(2) - 10

4 = 14 - 10

So 2 is definitely a solution.

5^2 = 7(5) - 10

25 = 35 - 10

5 is also a solution.

Hope that helps :]

8 0

2 years ago

Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who

IrinaVladis [17]

Answer:

Step-by-step explanation:

<u>Given:</u>

There were 120 people in total.

60% were parents.

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

$\frac{60}{100}\times \frac{120}{1}$

Simplify

Cancel zeros

$\frac{60}{100}\\\\=\frac{6}{10}$

Divide by common factor (2)

$\frac{6\div2}{10\div2}=\frac{3}{5}$

2. $\bold{\frac{3}{5}\times \frac{120}{1}}$

Multiply

$\frac{3\times120}{5\times1} = \frac{360}{5}$

Divide

$\frac{360}{5}= 360\div5=72$

Therefore, 72 parents attended the game.

4 0

3 years ago