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kifflom [539]
2 years ago
9

When you multiply a number by 25, subtract the result from 2000, and divide everything by 5, you will get 150. What is the initi

al number?
Mathematics
2 answers:
weeeeeb [17]2 years ago
8 0

Answer:

110

Step-by-step explanation:

150*5=750

750+2000=2750

2750/25=110

krok68 [10]2 years ago
3 0

<u>Answer</u><u>:</u>

The number is 110

<u>Explanation</u><u>:</u>

To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110

<u>Step</u><u> </u><u>by</u><u> </u><u>step</u><u>:</u>

150×5= 750

=> 750+2000= 2750

2750÷25= 110

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Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w
tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1:  Finding the Number of hours is need to type 4160 words :

= 1\frac{20}{60} hours

\\\\=1\frac{1}{3} hours

\\\\=\frac{4}{3} hours

So it takes  \frac{4}{3} hours to type 4160 word

Step 2 :  Finding the Number of hours is needed to type 1 word  

= \frac{4160}{\frac{4}{3}}

=4160 \times \frac{3}{4}

= 3120 words per hour

Step 3 :  Finding the Number of hours is needed to type 16000 words

=\frac{\text{ total number of words}} {\text{ number of words written per hour}}

Substituting the values

= \frac{16000}{3120}

=  5.1282 hours

Step 4 :  Finding the cost for recreating the manual.

= number of hours  x cost per hour

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5 0
4 years ago
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

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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
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egoroff_w [7]

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Step-by-step explanation:

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Divide by 23

a^2=\frac{30}{23}

Extract the square root.

a=\sqrt{\frac{30}{23} }

3 0
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