Find the value of something 11/12=something/48

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

6 0

12x4=48
11x4=44
44/48

Afina-wow [57]3 years ago

4 0

Answer:

The value of something is 528.

Step-by-step explanation:

☆Let's replace something with x.

☆something = x

☆Solve using proportion

$\frac{11}{12} = \frac{x}{48} \\ \\ \frac{12x}{12} = \frac{528}{12} \\ \\ x = 528$

☆x equals 528, which means <u>something</u> equals 528.

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Y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8?

serious [3.7K]

When x = 8 y = 15

The way to figure this out is to subtract 12 by 5. That’s 7 so there’s a difference of 7 between both of the numbers.

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3 years ago

Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$