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DiKsa [7]
3 years ago
6

Find the smallest multiple of 15 such that each digit of the multiple is either 0 or 4

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0
The answer is 4440.  You can determine this by using your rules of divisibility.  We know that is must end in a 0 or 5 to be divisible by 5 and that the sum of the digits must be divisible by 3 in order to divide by 3. One or two 4's together are not divisible by 3.  Three 4's are, but it must end in 0 to be divisible by 5 as well.


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XZ = 15 and the perimeter of XWZ is 50. What is the length of WZ?
Rom4ik [11]

Answer:

  17.5

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  perimeter = XZ +WZ +WX

The figure shows us WX = WZ, so we can rewrite the formula as ...

  perimeter = XZ +2·WZ

Filling in the given values, this becomes ...

  50 = 15 + 2·WZ

  35 = 2·WZ

  35/2 = WZ = 17.5

The length of WZ is 17.5 units.

6 0
3 years ago
Shawna reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12
AfilCa [17]

Answer:

Step-by-step explanation:

Original Ratio              =                  New Ratio        All these problems are done the same way. Try to conquer the language.

The original ratio = 24 inches wide / 12 inches tall

Shawna's new ratio = you don't know / 2 inches in height (or tall)

Call what you don't know = x

24/12 = x / 2                        Cross multiply

12 * x = 24 * 2                     Combine the right

12 * x = 48                           Divide by 12

12x/12 = 48/12

x = 4

So the new height is 4 inches.  

5 0
3 years ago
Solve the system.<br> 3x + 4y = 7<br> 2x-y=1<br> What does x and y equal
emmainna [20.7K]

Answer:

x=1 y=1

Step-by-step explanation:

Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7

(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1

5 0
2 years ago
On a very cold morning it was -7 Fahrenheit as the day went on the temperature rose 3° each hour which equation shows the temper
tiny-mole [99]

Answer:

T = -7 + 3t .

Step-by-step explanation:

T = -7 + 3t   where T = the temperature and t = the times in hours.

5 0
3 years ago
Read 2 more answers
Jane is building a bookcase with 4 shelves. Each shelf is 24 inches long. How much wood does Jane need to make the 4 shelves?
Ksivusya [100]

Answer: 96 inches of wood

Step-by-step explanation:

24 × 4 = 96

So he would need 96 inches of wood!

Hope this helps!!! Good luck!!! ;)

7 0
3 years ago
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