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dalvyx [7]
2 years ago
14

Tony bought a skateboard online. It cost $96 plus 20% shipping and handling. What was the total cost?​

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
4 0
The answers would be 480
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Question 1 2 pts Logic Puzzle: A certain clock runs fast; it indicates that 1 hour has passed when actually only 56 minutes have
Liono4ka [1.6K]

Using proportions, it is found that the correct time when it reads 10:30pm is of 9:40 pm.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, when 56 minutes have passed, the clock indicates that 60 minutes have passed. Hence, what is the time passed when the clock indicates that 12 hours and 30 minutes, that is, 60 x 12 + 30 = 750 minutes have passed?

Hence, the <em>rule of three</em> is:

56 minutes - 60 minutes

x minutes - 750 minutes

Applying cross multiplication:

60x = 56 \times 750

x = \frac{56 \times 750}{60}

x = 700

700 minutes is 660/60 = 11 hours + 40 minutes after 10:00 am, hence the correct time is of 9:40 pm.

You can learn more about proportions at brainly.com/question/24372153

7 0
2 years ago
Sarah has 25 coins that are dimes and nickels. Together they total $2.00. How many of each type does she have?
Ivanshal [37]

Answer:

15 dimes and 10 nickels

Step-by-step explanation:

15 dimes because 15 multiplied by 10 cents is $1.50

10 nickels because 10 multiplied by 5 cents is $0.50

15 x 0.10 = 1.50         10 x 0.50 = 0.50

0.50 + 1.50 = 2.00

8 0
3 years ago
Read 2 more answers
Connie has saved up $15 to purchase a new CD from the local store. The sales tax in her county is 5% of the sticker price. Write
Sholpan [36]

Answer:

x + 0.05x = 15, solution is $14.29

Step-by-step explanation:

We can create an equation for this scenario to try and solve it.

Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)

We can write the equation in two ways:

x + 0.05x = 15 or 1.05x = 15.

Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.

Therefore, the equation is x + 0.05x = 15 and the solution is $14.29.

Hope this helped!

3 0
3 years ago
Read 2 more answers
Let $a$ and $b$ be nonzero real numbers such that
algol [13]
<h3>Answer:   -7/2</h3>

=========================================================

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

------------------

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0
1 year ago
What are the answers
algol [13]
Unable to see the paper clearly
6 0
3 years ago
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