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lapo4ka [179]
3 years ago
12

Find the number n that fits all of these conditions.

Mathematics
2 answers:
makvit [3.9K]3 years ago
6 0
When you look at your choices, we see that 8 is not a factor of 36 and 9 is not a factor of 48. the last choice of 6 is not larger than 6, ...so 12 is the only appropriate answer as it is a factor of 36, 48, and larger than 6.
zavuch27 [327]3 years ago
6 0
N is larger than the number 6: Therefore option (D) is disqualified.

N is a factor of 36: The factors of 36 = 1, 2, 3, 4, <u>6</u>, <u>9</u>, <u>12</u>, 18, 36

<span><span>N is a factor of 48:</span> The factors of 48 = </span><span>1, 2, 3, 4, <u>6</u>, <u>8</u>, <u>12</u>, 16, 24, 48

The only answer matching all of the above criteria is Option (A) 12</span>
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If multiply my number by 4, add -4 to the product, and then take 1/3 of the sum, the result is -6. What is my number. Show work
Furkat [3]
The amswer is -24, just gotta do division and subtration
7 0
3 years ago
A police car's siren operates at a frequency of 2,000 Hz. What frequency would a stationary listener observe if the police car i
SpyIntel [72]

we can use formula

f_L=f_s(\frac{v_a-v_p}{v_a+v_p} )

where

fL is listener frequency

fs is siren frequency

va is the speed of sound in air

vs is police car speed

so, we have

f_s=2000Hz

v_a=345m/s

v_p=65mph

now, we can change it into m/s

v_p=65*\frac{1609}{3600}m/s

v_p=29.05139m/s

now, we can plug it

f_L=2000(\frac{345-29.05139}{345+29.05139} )

f_L=1689.33263Hz..............Answer

3 0
3 years ago
What is the next value 1I2L3F4
zmey [24]
The given terms can be divided into two sections. First section is for the numbers and the second one for the letters.

1st section:    1, 2, 3, and 4
2nd section:    I, L, F


I is the 9th letter in the alphabet, L is the 12th letter, and F is the 6th letter in the alphabet. 

The pattern observed:
                    I to L:    12 - 9 = 3
                    L to F:    6 - 12 = -6

Next letter should be +9. This means that the letter should be 9 places higher than F. The letter should be O which is the 15th letter. 
3 0
3 years ago
Write a word problem using the numbers 506 and 8. Then solve
natka813 [3]

Answer:

Billy is a fly enthusiast! He has a huge glass container filled with 506 flies! One day when Billy went to feed the flies, he accidentally left the screw opened for too long, and 8 flies escaped! How many flies are left in the tank?

3 0
3 years ago
two ships leave a port at the same time. the first ship sails on a bearing of 55° at 12 knots (natural miles per hour) and the s
Korvikt [17]

Answer:

37.59 nautical miles

Explanation:

Distance = Speed x Time

The speed of the first ship = 12 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =12\times1.5 \\ =18\text{ miles} \end{gathered}

The speed of the second ship = 22 knots

Thus, the distance covered after 1.5 hours

\begin{gathered} =22\times1.5 \\ =33\text{ miles} \end{gathered}

The diagram representing the ship's path is drawn and attached below:

The angle at port = 90 degrees.

The triangle is a right triangle.

Using Pythagorean Theorem:

\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}

The two ships are 37.59 nautical miles apart after 1.5 hours.

8 0
1 year ago
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