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3 years ago

8

4 + 5 = 5 + 4 shows which property?

1 answer:

dalvyx [7]3 years ago

4 0

Answer:

commutative property of addition

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5 /9 of students at a school are girls. If there are 4041 students at the school, how many are boys?

mash [69]

Answer:

<em>1796 students are boys.</em>

Step-by-step explanation:

If 5/9 of students are girls, then 4/9 of the students are boys.

4/9 * 4041 = 1796

7 0

3 years ago

Read 2 more answers

A password contains six digits, such as 174668. How many different passwords can be formed

STALIN [3.7K]

Answer: The number of different passwords can be formed = 1,000,000

Step-by-step explanation:

In general total digits = 10 [ from 0 to 9]

If a password contains 6 digits, then by fundamental principal of counting, the total number of different passwords = $10\times10 \times10\times10\times10\times10=10^6=1000000$

Hence, the number of different passwords can be formed = 1,000,000

5 0

3 years ago

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

$(x + 15)\ by\ x$

$Area = 60in^2$

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

$Area = Length * Width$

$60= (x + 15) * x$

Open Bracket

$60= x^2 + 15x$

Subtract 60 from both sides

$x^2 + 15x - 60 = 0$

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 1$

$b = 15$

$c = -60$

So:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}$

$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

Split:

$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

$x = 3.28$ or $x = -18.18$

But length can't be negative;

So:

$x = 3.28$

The actual dimensions: $(x + 15)\ by\ x$ is

$Length =3.28 +15$

$Length =18.28$

$Width = x$

$Width =3.28$

<em>The actual dimension is 18.28 by 3.28</em>

3 0

3 years ago

3 times the measure of an angle is 14 less than the measure of its complement. What is the measure of the angle?

Andrew [12]

Let the angle be x complement 90-x so the equation will be 3x = 90-x-14 3x+x = 90-14 4x = 76 x=76/4= 19 90-x= 90-19 =71

7 0

3 years ago

If total liabilities are 1,000 and total assets are 8000 owner's e q u i t y must be

olga_2 [115]

Total equity is equal to assets - liabilities.

Therefore,

8000 - 1000 = 7000

The owner's equity is $7,000.

5 0

3 years ago