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bekas [8.4K]
4 years ago
5

4. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7,

Mathematics
1 answer:
Bezzdna [24]4 years ago
5 0

Answer:

187

Step-by-step explanation:

A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.

We should first find the LCM of 30, 36 and 45

We get that the LCM of the three numbers is 280 (working attached).

So now;

\frac{180}{30} = 6

\frac{180}{36} = 5

\frac{180}{45} = 4

But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.

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2 hours 11 minutes

Step-by-step explanation:

Each hour Sally can paint 1/3 rooms, Steve can paint 1/8 rooms.

If they work together, each hour they can paint 1/3 + 1/8 = 11/24 rooms.

So They will take 1/(11/24) = 24/11 = 2.18 hours to paint a whole room.

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240: 180 in its simplified form
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3 years ago
Factor the quadratic equation 0=15x squared + 39 x-18
leva [86]

Answer:

The factors of given quadratic equation

<em>   </em>x = \frac{9}{15} and x = -2<em />

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given quadratic equation 15x² +39 x -18 =0</em>

<em> The factors of 270 = 30 × 9</em>

<em>The quadratic equation 15x² +39 x -18 =0</em>

<em>                                    ⇒ 15 x² +30 x-9x -18=0</em>

<em>                                 ⇒ 15x(x+2) -9( x+2) =0</em>

<em>                                ⇒( 15x -9)(x+2) = 0</em>

<em>                       15x - 9=0    and  x+2 =0</em>

<em>                       15 x =9   and  x = -2</em>

<em>                       </em>x = \frac{9}{15} and x = -2<em />

<u><em></em></u>

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3 years ago
The angles of a triangle are in a ratio 1:3:8. What are the angles?<br>​
xxTIMURxx [149]

Answer:

15° , 45°, 120°

Step-by-step explanation:

sum the parts of the ratio, 1 + 3 + 8 = 12 parts

the sum of the 3 angles in a triangle = 180° , then

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the 3 angles are 15° , 45° , 120°

6 0
3 years ago
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