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JulijaS [17]
3 years ago
14

What is 1/3 of 21, 2/5 of 40 4/7 of 280

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0
\frac{1}{3} \times 21=\frac{21}{3}=\frac{7 \times 3}{3}=7 \\ \\
\frac{2}{5} \times 40=\frac{2 \times 40}{5}=\frac{2 \times 8 \times 5}{5}=2 \times 8=16 \\ \\
\frac{4}{7} \times 280=\frac{4 \times 280}{7}=\frac{4 \times 40 \times 7}{7}=4 \times 40=160
lana [24]3 years ago
5 0
A\ fraction\ of\ the\ number\ is\ equal\\to\ the\ product\ of\ the\ fraction\ by\ the\ number.\\\\Therefore:\\\\\frac{1}{3}\ of\ 21=\frac{1}{\not3_1}\cdot\not21^7=1\cdot7=\boxed7\\\\\frac{2}{5}\ of\ 40=\frac{2}{\not5_1}\cdot\not40^8=2\cdot8=\boxed{16}\\\\\frac{4}{7}\ of\ 280=\frac{4}{\not7_1}\cdot\not280^{40}=4\cdot40=\boxed{160}
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Michelle correctly solved a linear equation and the last line of her work was: 1 = 2
andreyandreev [35.5K]

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The equation has no solution

Step-by-step explanation:

Since the last line of her work resulted in

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A thief steals a number of rare plants from a nursery. On the way​ out, the thief meets three security​ guards, one after anothe
DedPeter [7]

The thief originally stole 64 plants.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the number of plants originally stolen by the thief be x.
On the way​ out, the thief meets three security​ guards, one after another. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​

Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x
Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2
Finally, the thief leaves the nursery with 10 plants
x - 7x/8 + 2 = 10
x/8 = 8
x = 64

Thus, the thief stole 64 plants.

Learn more about arithmetic here:

brainly.com/question/14753192

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7 0
2 years ago
The big desk in your boss's office is 75 inches long. How long is that in feet?
masya89 [10]

Answer:

The big desk in your boss's office is 6.25 feet  long.

Step-by-step explanation:

As given

The big desk in your boss's office is 75 inches long.

As the relationship between inches and feet.

As 1 feet = 12 inches

1\ inches = \frac{1}{12}\ feet

Now convert 75 inches into feet.

75\ inches = \frac{75}{12}\ feet

75\ inches = 6.25\ feet

Therefore the big desk in your boss's office is 6.25 feet long.


4 0
3 years ago
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decide whether the random variable x is discrete or continuous. x represents the length of time it takes to get to work
FromTheMoon [43]

The given variable is a continuous variable.

<h3>What is continuous variable?</h3>

A quantitative variable can be either continuous or discrete depending on whether it is normally obtained through measurement or counting. A variable is continuous over a range of real values if it can take on any two specific real values and all other real values in between.

<h3>What is mercury thermometer?</h3>

In Amsterdam, physicist Daniel Gabriel Fahrenheit created the mercury thermometer, also known as a mercury-in-glass thermometer. It consists of a glass tube with a small diameter and a mercury bulb attached to it; the bulb contains far more mercury than the tube does.

<h3>According to the information:</h3>

A mercury thermometer was used to take the subject's temperature.

Because of the temperature:

  • Not counting but measuring it.
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so

Temperature is a continuous variable,

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8 0
1 year ago
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