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ale4655 [162]
3 years ago
15

Ardem has two lights one flashes every 15 seconds the other flashes every 42 seconds. They start flashing at the same time. Afte

r how many seconds will they next flash at the same time??
Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer: After 210 seconds they with next flash at the same time.

Step-by-step explanation:

Given: Ardem has two lights.

One flashes every 15 seconds the other flashes every 42 seconds.

If they started flashing at the same time, then the number of seconds after that they with next flash at the same time = LCM (15, 42)   [LCM - Least common multiple]

Prime factorization of 15 = 3 x 5

Prime factorization of 42 = 2 x 3 x 7

Then, LCM (15, 42) = 2 x 3 x 5 x 7 = 210

i.e. After 210 seconds they with next flash at the same time.

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7 0
4 years ago
Jennifer went shopping at the
DiKsa [7]

Answer:

She bought 2 long sleeve shirts and 4 t-shirts

Step-by-step explanation:

Let number of long sleeves = x

Let number of t-shirts = y

x+y=6

∴y=6-x

14x+4y=44

14x+4(6-x)=44

14x+24-4x=44

10x=20

x=2

y=6-x

=6-2=4

ANS: She bought 2 long sleeve shirts and 4 t-shirts

4 0
3 years ago
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The area of this circle is 840 m².
kaheart [24]

Answer:

420m

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4 years ago
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There is a pair of parallel sides in the following shape.<br> what is the area of the shape? units^2
den301095 [7]

Answer:

A = 15 units²

Step-by-step explanation:

The figure has 1 pair of parallel sides and is therefore a trapezium.

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the perpendicular height between bases and b₁, b₂ are bases

here h = 3, b₁ = 3 , b₂ = 7 , then

A = \frac{1}{2} × 3 × (3 + 7) = 1.5 × 10 = 15 units²

3 0
2 years ago
What is -5/6 divided by 9/10?<br><br> A. -27/25<br><br> B. -4/3<br><br> C. -3/4<br><br> D. -25/27
kakasveta [241]
-\frac{5}{6} ÷ \frac{9}{10}

First, apply the rule (easiest way if you have learned it): a ÷ \frac{b}{c} = a × \frac{c}{b}
- \frac{5}{6} × \frac{10}{9}
Second, apply the last rule: \frac{a}{b} × \frac{c}{d} =  \frac{ac}{bd}
- \frac{5*10}{6*9}
Third, multiply 5 × 10 to get 50.
- \frac{50}{6*9}
Fourth, multiply 6 × 9 to get 54. 
-\frac{50}{54}
Fifth, find the GCF of 50 and 54.
The GCF should be 2.
Sixth, divide the numerator by the GCF. 
50 ÷ 2 = 25
Seventh, divide the denominator by the GCF.
54 ÷ 2 = 27
Eighth, now put 25 and 27 together to get the simplified fraction.
- \frac{25}{27}

Answer as fraction: -\frac{25}{27}
Answer as decimal: 0.9259

7 0
3 years ago
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