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Fofino [41]
2 years ago
7

A jeweler is dividing

Mathematics
1 answer:
tatuchka [14]2 years ago
6 0

<em><u>Question:</u></em>

A jeweler is dividing 3/8 of a pound of rubies among 4 lots. What part of a pound will each lot weigh? A.1/4 B.1/8 C.1/16 D.3/32

<em><u>Answer:</u></em>

Option D

Each lot weight \frac{3}{32} part of pound

<em><u>Solution:</u></em>

Given that,

A jeweler is dividing 3/8 of a pound of rubies among 4 lots

To find: part of a pound each lot weigh

From given,

\frac{3}{8} \text{ of a pound } = 4 lots

Let "x" be the part of a pound each lot weigh

Therefore,

\frac{3}{8} \text{ of a pound } = 4 lots\\\\"x" part = 1\ lots

This forms a proportion and solve by cross multiplying

\frac{3}{8} \times 1 = 4 \times x\\\\x = \frac{3}{32}

Thus, each lot weight \frac{3}{32} part of pound

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2.5 of cloth for each tablecloth.

15/6 is to 2.5

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor
xenn [34]

Answer:

The required probability is \dfrac{13}{50}

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em>\times<em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em>\times<em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Probability of selecting a water bottle:

\dfrac{30}{50} = \dfrac{3}{5}

Probability of selecting a lemon flavored bottle from water bottle:

\dfrac{8}{30}

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em>\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}<em></em>

<em></em>

Probability of selecting a tea bottle:

\dfrac{20}{50} = \dfrac{2}{5}

Probability of selecting a lemon flavored bottle from tea bottle:

\dfrac{5}{20} = \dfrac{1}{4}

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em>\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}<em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em>\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}<em></em>

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3 years ago
What is an equation of the line that passes through (2,2) and is parellel to the line y=7x
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Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

Step-by-step explanation:

Given:

a line y=7x

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

y=7x     ...........Given

Comparing with,

y=mx

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We get

Slope = m = 7

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

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What is 5/9 in a decimals
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The answer would be, 0.55555555556

hope this helps :-)

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Answer: Commutative property of multiplication  

Step-by-step explanation: The problem 6 · 1 = 1 · 6 demonstrates the commutative property of multiplication.

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So for example here, 6 · 1 is equal to 6 and 1 · 6 also equals 6.

Since 6 = 6, we can easily see that 6 · 1 must be equal to 1 · 6.

In more general terms, the commutative property of multiplication can be written as a · b = b · a where <em>a</em> and <em>b</em> are variables that can represent any numbers.

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