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Andrews [41]
3 years ago
13

Write the ratio 42:24 in its simplest form.

Mathematics
2 answers:
slava [35]3 years ago
6 0

Answer:

7:4

Step-by-step explanation:

42:24

divide both sides by 6

7:4

Irina-Kira [14]3 years ago
5 0

Answer:

Find the GCD (or HCF) of numerator and denominator. GCD of 42 and 24 is 6.

42 ÷ 624 ÷ 6.

Reduced fraction: 74. Therefore, 42/24 simplified to lowest terms is 7/4.

Step-by-step explanation:

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Una diseñadora de modas que confecciona trajes de noche, tarda 3 horas en cortar y 2 horas en coser cada vestido de fiesta. Para
ella [17]

For this case we define the following variables:

x: Number of party dresses

y: Number of suits

You have 30 hours per week to cut, that is, the first equation is given by:

3x + 3y = 30\\

It is also known that 25 hours per week are available for sewing, that is:

2x + 3y = 25\\

It has a system of two equations with two unknowns, solving we have:

3x + 3y = 30\\\\2x + 3y = 25\\

Multiplying the second equation by -1:

3x + 3y = 30\\\\-2x-3y = -25\\

Adding up:

x + 0 = 5\\\\x = 5\\

Substituting x in the first equation:

3 * 5 + 3y = 30\\\\15 + 3y = 30\\

Clearing and:

3y = 30-15\\\\3y = 15\\

y = \frac{15}{3}\\\\y = 5\\

Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.

Answer:

5 Party dresses

5 Suits


5 0
3 years ago
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