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Ahat [919]
3 years ago
9

What would the answer be for this equation 7x/20 - 5x/12

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

Answer:

\frac{1}{15} x

Step-by-step explanation:

\frac{7x}{20}  -  \frac{5x}{12}

\frac{3 \times 7x}{3 \times 20}  -  \frac{5 \times 5x}{5 \times 12}

\frac{21x}{60}  -  \frac{25x}{60}

\frac{21x - 25x}{60}  = (21 - 25)x =  - 4x

\frac{ - 4x}{60}  =  -  \frac{ x}{15}

\boxed{\green{=  \frac{1}{15} x}}

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Beverly is driving up a hill at an incline of 45 degrees. She will travel 13 miles to reach the top. What is the height of the h
quester [9]

Answer:

The height of the hill is of 9.19 miles.

Step-by-step explanation:

Relations in a right triangle:

The sine of an angle is given by the measure of the opposite side divided by the hypotenuse.

The cosine of an angle is given by the measure of the adjacent side divided by the hypotenuse.

In this question:

Angle of 45º, and drives 13 miles. Due to the inclination, this represents the hypotenuse.

The height is the opposite side. So

\sin{45} = \frac{h}{13}

We have that \sin{45} = \frac{\sqrt{2}}{2} = 0.71

\sin{45} = \frac{h}{13}

0.71 = \frac{h}{13}

h = 13*0.71 = 9.19

The height of the hill is of 9.19 miles.

3 0
3 years ago
In 2017 the Gallup poll surveyed 1021 adults in the United States and found that 57% supported a ban on smoking in public places
maria [59]

Answer:

Explained below.

Step-by-step explanation:

(a)

A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.  

  • The population is adults in the United States.

A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.

  • The sample is the 021 adults surveyed.

(b)

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

  • The parameter of interest is population proportion of adults in the United States who support smoking bans.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

  • The statistic is the 57% of adults who support smoking bans.
6 0
3 years ago
Evaluate the expression: 4(8 − 6)5 2 − 6 ÷ (−3).
mr Goodwill [35]

Answer:

86 or 32, depending on the correctness of the syntax

Step-by-step explanation:

We use PEMDAS:

Parentheses: 4(2)5 2-6/(-3)

Exponents: <em>I'm assuming that all the syntax is correct (so no exponents).</em>

Multiplication and Division: 40*2+6 = 80 + 6

Addition and Subtraction: 86

If you copy+pasted this expression, then the original equation would have been: (4(8 − 6)^5)/(2 − 6 ÷ (−3)). We can use PEMDAS:

Parentheses: (4(2)^5)/(2 - 6 ÷ (−3))

  • We solve the parentheses individually using PEMDAS:
  • Exponents: (4*32) <-- Numerator | Denominator -->(2 - 6 ÷ (−3))
  • Multiplication and Division: 128 <-- Numerator | Denominator --> 2 + 2
  • Addition and Subtraction: 128 < -- Numerator | Denominator --> 4

We now have the following fraction: 128/4

That simplifies to 32

7 0
3 years ago
14. What is the area of a rectangle if the dimensions are:<br> 5y2 in and 8y3 in
ololo11 [35]

Answer:

40 y^4 unit sq.

Step-by-step explanation:

Area of a rectangle = length x breadth

                                =  5y^2 x 8y^3

                                = 40 y^5 unit sq.    [Exponents get added when multiplied]

4 0
4 years ago
Determine whether the statement makes sense or does not make sense, and explain your reasoning.
Sedbober [7]

A candidate received the majority of first-place votes but loses hows that A. The statement does not make sense.

<h3>What is plurality voting?</h3>

It should be noted that plurality voting simply means when each voter is allowed to vote for only one <em>candidate</em>.

In this case, a candidate received the majority of first-place votes will win the election. Here, the majority of the first place votes using the plurality method is the winner.

Learn more about votes on:

brainly.com/question/3710029

8 0
2 years ago
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