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Bond [772]
3 years ago
7

A math problem that equals 8?

Mathematics
2 answers:
vlada-n [284]3 years ago
8 0

Answer:

\frac{3x}{6}-2=2 is a simple equation that gives the value of x as 8.

Explanation:  

Consider the following equation.

\frac{3x}{6}-2=2

By removing the mathematical operations from the left-hand side to obtain the variable x gives the result of x=8.

\frac{3x}{6}-2=2

\frac{3x}{6}=2+2                        Addition property of equality

\frac{3x}{6}\cdot6=4\cdot6    Multiplication property of equality

\frac{3x}{6}\cdot 6=4\cdot 6

\frac{3x}{3}=\frac{24}{3}           Division property of equality

x=8

Further explanation:

A simple/ linear equation represents a combination of few mathematical operations with an unknown variable. In other words, an equality of a polynomial to a particular value where the degree of the polynomial is 1.

This equation can be solved by removing each mathematical operation to remain the variable in one side of the equation. It is very important to maintain the equality of the relationship. Therefore, doing the same operation to the both sides is a necessity.  

The final answer is called as the solution or the root. A simple equation has only one root and in the root, the coefficient of the variable must be 1.

Learn more:

Create one variable equation

  • brainly.com/question/2595790  Answered by  MissPhiladelphia

Key words:

Polynomial, Algebraic expressions, Linear equation, Solving an equation, one variable.  

natima [27]3 years ago
3 0
4+4
5+3
9-1
10-2
7+1
6+2

All of these answers are very good answers

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Rhonda took $20 with her to spend on popcorn and candy for herself and her friends at the movie theater. The price for each bag
MrRa [10]

The linear equation that represents the scenario is 5x + 2.5y = 20

<h3>How to determine the equation?</h3>

The given parameters are:

  • Popcorn = $5 per bag
  • Candy = $2.5 per bag i.e. half the price of pop corn

Let x represents popcorn and y represents candy.

So, we have:

5x + 2.5y = 20

The intercepts in this case are the maximum number of candy and popcorn Rhonda can buy

See attachment for the graph

Read more about linear functions at:

brainly.com/question/4025726

#SPJ1

5 0
2 years ago
What is the length of line BC , rounded to the nearest tenth?
GuDViN [60]
Hi I Think The Answer is:

31.2 units


Hope This Helped

6 0
3 years ago
The brain volumes ​(cm cubed​) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed. Use the g
valentina_108 [34]

Answer:

Yes, the value 1411.8 cm³ is significantly high.

Step-by-step explanation:

Consider the provided information.

The brain volumes ​(cm cubed​) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.

The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:

The range rule of thumb identifying significant values are as.

Significantly low values are μ-2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2-2(125.3)=860.6

Significantly high values are μ+2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2+2(125.3)=1361.8

The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.

Hence, Yes, the value 1411.8 cm³ is significantly high.

3 0
2 years ago
Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has
ki77a [65]

Answer:

432m^3

Step-by-step explanation:

The computation of the volume of the larger pyramid is shown below:

Let us assume the volume of the larger pyramid be x

Given that

The ratio of two pyramids is 25:36

We can say that

The Ratio of side = (The ratio of surface area)^\frac{1}{2} = \frac{5}{6}

Now

ratio of volume = (ratio of side)^3 =  \frac{5^{3}}{6^{3}} = 125 : 216

Based on the above information, the calculation is as follows

\frac{125}{216} = \frac{250}{x}

So,

x = \frac{250 \times 216}{125}

= 432m^3

5 0
3 years ago
2. The National Safety Council routinely analyzes the benefit of seat belt use on driver safety. Their data showed that among 28
JulijaS [17]

Answer:

We conclude that there is difference in the proportion of deaths between the 2 groups.

Step-by-step explanation:

We are given that among 2823 drivers not wearing seat belts, 31 died as a result of injuries, and among 7765 drivers wearing seat belts 16 were killed.

Let p_1 = <u><em>proportion of deaths when drivers were not wearing seat belts.</em></u>

p_2 = <u><em>proportion of deaths when drivers were wearing seat belts.</em></u>

So, Null Hypothesis, H_0 : p_1=p_2      {means that there is no difference in the proportion of deaths between the 2 groups}

Alternate Hypothesis, H_A : p_1\neq p_2     {means that there is difference in the proportion of deaths between the 2 groups}

The test statistics that would be used here <u>Two-sample z test for proportions;</u>

                          T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of deaths when drivers were not wearing seat belts = \frac{31}{2823} = 0.011

\hat p_2 = sample proportion of deaths when drivers were wearing seat belts = \frac{16}{7765} = 0.002

n_1 = sample of drivers not wearing seat belts = 2823

n_2 = sample of drivers wearing seat belts = 7765

So, <u><em>the test statistics</em></u>  =  \frac{(0.011-0.002)-(0)}{\sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} } }

                                       =  4.438

The value of z test statistics is 4.438.

<u>Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that there is difference in the proportion of deaths between the 2 groups.

Also, <u>Margin of error</u> (E) =  1.96 \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }

                                        =  1.96 \times \sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} }

                                        =  <u>0.00397</u>

5 0
3 years ago
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