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3 years ago

14.2 is 35.5% of what number?

Mathematics

1 answer:

Anna11 [10]3 years ago

4 0

$35.5\% = 0.355 \\ x \times 0.355 = 14.2 \\ x = 14.2 \div 0.355 \\ x = 40$
So, 14.2 is 35.5% of 40.
That's My Answer..

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Hardy is packing his book collection into a box. Each book measures 4inches by 6 inches by 1 inch. The box he uses measures 24 i

netineya [11]

Answer:

1. 192 books.

2. 96 books.

3. 24 books.

Step-by-step explanation:

1. Let's find the volume of each book and the volume of the box, this way:

Volume of a book = 4 * 6 * 1 = 24 inches ³

Volume of the box = 24 * 24 * 8 = 4,608 inches ³

2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?

Greatest number of books = Volume of the box/Volume of a book

Greatest number of books = 4,608/24

Greatest number of books = 192

3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.

Greatest number of layers = Height of the box/Width of a book

Greatest number of layers = 8/1 = 8

Minimum number of layers = Height of the box/Height of a book

Minimum number of layers = 8/4 = 2

Upon saying that, we have:

Number of books per layer = Greatest number of books/Minimum number of layers

Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

Number of books per layer = 192/8

Number of books per layer = 24

Note: Same answer to question 14559894, answered by me today.

5 0

3 years ago

Guthrie made the input-output table shown below.

Inga [223]

9514 1404 393

Answer:

C 3x +1 = y

Step-by-step explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

C 3x +1 = y

If you check this against the table entries, you find it fits.

3(1) +1 = 4

3(2) +1 = 7

and so on.

3 0

3 years ago

The airline that Vince is using has a

emmainna [20.7K]

Answer:

Each bag must NOT exceed 62 inches (157.48 centimeters) in overall dimensions (length + width + height) and CANNOT exceed 70 pounds (31.75 kg). Overweight bag fees will apply to bags weighing over 50 pounds (22.73 kg).

Dominican Republic: 18% of baggage fee

Colombia: 16% of baggage fee

Saint Lucia: 7.5% of baggage fee

Barbados: 17.5% of baggage fee

Step-by-step explanation:

4 0

3 years ago

Find the slope for (3,4) and (3,-4)

saveliy_v [14]

Answer:

undefined

The problem:

Find the slope for the line going through (3,4) and (3,-4).

Step-by-step explanation:

Line up points vertically and subtract.

Then put 2nd difference over 1st.

( 3 , 4)

-(3 , -4)

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

0 8

So the slope would have been 8/0 but this is undefined.

So the slope is undefined.

Also notice the x's are the same and the y's are difference so this is a vertical line. There is only rise in a vertical line and no run. Recall, slope is rise/run. You cannot divide by 0 so this is why we say the slope is undefined when the x's are always the same no matter the y.

7 0

3 years ago

Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays eve

jonny [76]

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

6 0

3 years ago

Read 2 more answers