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BartSMP [9]
2 years ago
13

28% of Sumiko's CDs are Chinese music CDs. 42% of these are English music CDs and the rest are Japanese music CDs. There are 45

Japanese music CDs. Find the total number of CDs.
Mathematics
1 answer:
VikaD [51]2 years ago
5 0

Answer:

150 CDs

Step-by-step explanation:

From the question, we are told that:

28% of Sumiko's CDs are Chinese music CDs.

42% of these are English music CDs The rest are Japanese music CDs.

Let the total number of CDs = 100%

Therefore the percentage of Japanese CDs is calculated as:

100% - (28% + 42%)

100% - 70%

= 30%

There are 45 Japanese music CDs.

Let us represent total number of CDs = x

Hence,

30% of x = 45 Japanese music CDs

Hence,

30/100 × x = 45

30x/100 = 45

Cross Multiplication

30x = 100 × 45

Divide both sides by 30

x = 4500/30

x = 150 CDs

Therefore, the total number of CDs = 150 CDs

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2 years ago
Subtract. Express your answer in lowest terms. 3/4-1/8
Artist 52 [7]

Answer:

5/8

Step-by-step explanation:

3/4 - 1/8

We need to get a common denominator

3/4 *2/2 = 6/8

6/8 - 1/8

5/8

8 0
3 years ago
Keith has 40-pound bags of mulch in his truck that weigh a total of 3600 pounds. His Owner’s Manual lists the truck’s capacity a
kiruha [24]

Answer:

Keith must remove 90-75 = 15 bags in order to meet the weight requirements

Step-by-step explanation:

This problem can be solved by consecutive rules of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are:

- The number of bags

- The total weight

As the number of bags increases, so do the total weight. So, the relationship between the measures is direct.

To know how many bags does Keith need to remove in order to meet the weight requirements, we first need to know how many bags are in the truck currently.

The problem states that each bag weighs 40 pounds and the weight of the truck is 3600 pounds, so:

1 bag - 40 pounds

x bags - 3600 pounds

40x = 3600

x = \frac{3600}{40}

x = 90.

Keith currently has 90 bags in the truck.

Now, we have to know how much bags he can have in the truck, that is, 3000 pounds worth of bags. So:

1 bag - 40 pounds

x bags - 3000 pounds

40x = 3000

x = \frac{3000}{40}

x = 75.

The truck's capacity is at most 75 bags.

So, Keith must remove 90-75 = 15 bags in order to meet the weight requirements

7 0
3 years ago
Farmer Company purchased equipment on January 1, Year 1 for $82,000. The equipment is estimated to have a 5-year life and a salv
frosja888 [35]

Answer:

option (a) $6,240

Step-by-step explanation:

Given:

Purchasing cost of the equipment = $82,000

Estimated life = 5 years

Salvage value = $4,000

Revised expected life = 8 years

Now,

Depreciation per year = \frac{\textup{82,000-4,000}}{\textup{5}}

therefore,

The accumulated Depreciation at the beginning of year 4

= Annual depreciation × years passed

= 15,600 × 3

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Thus,

The book value at the beginning of year 4

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= $82,000 - $46,800

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Now,

The remaining life = Revised estimated life - Years passed

= 8 - 3

= 5 years

therefore,

Depreciation expense =\frac{\textup{book value at the beginning of year 4 - salvage value}}{\textup{Revised estimated life}}

= \frac{\textup{35,200  - 4000}}{\textup{5}}

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Hence,

The correct answer is option (a) $6,240

8 1
3 years ago
Which expressions are equivalent to the one below?check all that apply.
sineoko [7]
The answers for the question shown above are the option A, the option B and the option C, which are:
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 The explanation is shown below:
 By applying the logarithms properties, you have:
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3 0
3 years ago
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