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2 years ago

...................................

Mathematics

2 answers:

grandymaker [24]2 years ago

7 0

Answer:

There is 2000 pounds in a ton so you do 2000/80 and get 25.

Aleksandr-060686 [28]2 years ago

4 0

Answer:

The answer is 50.

Step-by-step explanation:

Step 1. Know that there are 4000 pounds in two tons.
Step 2. Do 4000 divided by 80.
Step 3. Get the answer of 50.
I hope this helps! :)

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Angle relationships definitions please help

alekssr [168]

Answer:

Vertical

Step-by-step explanation:

<2 and <4 are vertical angles they are the angles opposite each other when two lines cross.

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3 years ago

Write the expression 2i^15-i^7 in the standard form a + bi

elixir [45]

$\bf 2i^{15}-i^7\qquad 
\begin{cases}
i^2=\sqrt{-1}\cdot \sqrt{-1}\implies \sqrt{(-1)^2}\implies -1\\\\
i^4=i^2\cdot i^2\implies -1\cdot -1\implies 1
\end{cases}\\\\
-----------------------------\\\\
2i^{4+4+4+2+1}-i^{4+2+1}\implies 2i^4i^4i^4i^2i^1-i^4i^2i^1
\\\\\\
(2\cdot 1\cdot 1\cdot 1\cdot -1\cdot i)-(1\cdot -1\cdot i)\implies -2i-(-i)
\\\\\\
-2i+i\implies -i\implies \boxed{0-i}$

7 0

3 years ago

In a small business, 40 of the employees are men and 30 of the employees are women. What is the ratio of women to men?

Alex73 [517]

Answer:

3 : 4

Step-by-step explanation:

Men = 40, Women = 30

Ratio of women to men

$= \frac{30}{40} = \frac{3}{4} = 3 : 4 \\$

8 0

3 years ago

After completing the square, what are the solutions to the quadratic equation

Fiesta28 [93]

Answer:

$x_1= \frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\x_2= -\frac{\sqrt{{29}}}{2} +\frac{7}{2}$

Step-by-step explanation:

1. Subtract 9 from both sides of the equation:

$x^2 - 7x+9-9 = 4-9\\\\x^2 - 7x= -5$

2. Notice that the coefficient of "x" is 7. Then:

$(\frac{7}{2})^2=\frac{49}{4}$

3. Add $\frac{49}{4}$ to both sides of the equation:

$x^2 - 7x+\frac{49}{4}= \frac{49}{4}-5\\\\x^2 - 7x+\frac{49}{4}= \frac{29}{4}$

4. Completing the square, you get:

$(x -\frac{7}{2})^2= \frac{29}{4}$

5. To find the solutions, you must square-root both sides of the equation, simplify, and solve for "x". Then, you get:

$\sqrt{(x -\frac{7}{2})^2}= \±\sqrt{\frac{29}{4}}\\\\x -\frac{7}{2}=\±\frac{\sqrt{{29}}}{2} \\\\x= \±\frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\\\x_1= \frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\x_2= -\frac{\sqrt{{29}}}{2} +\frac{7}{2}$

4 0

3 years ago

Read 2 more answers

James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i

FinnZ [79.3K]

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Further Explanation:

Given:

The current salary of James is $\$ 42000.$

The time taken to complete the college degree is $2{\text{ years}}.$

The cost of the college degree is $\$ 28000.$

The James’ new salary after college degree will be $\$ 56000.$

Calculation:

The total investment of James can be calculated as follows,

$\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}$

The total investment for 2 years will be $\$ 140000.$

The James’ new salary after college degree will be $\$ 56000.$

The time taken by James to recover $\$ 140000.$

$\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}$

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445
Learn more about range and domain of the function brainly.com/question/3412497
Learn more about profit and loss brainly.com/question/2479097

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return

Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.

6 0

4 years ago

Read 2 more answers