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anyanavicka [17]
3 years ago
5

Brianna's teacher asks her which of these three expressions are equivalent to each other. which is equivalent

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

Please specify what the three expressions are.

Step-by-step explanation:

From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:

2(x-3)=2x-6

Then, by evaluating it, you would get:

2x-6=2x-6 by distribution over subtraction.

2x-6+6=2x-6+6 by the additive property of equality

2x=2x Simplify.

x=x by the reflexive axiom.

Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.

Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.

Sorry I could not be of more help, but you did not specify what the expressions were.

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If CDE ~ GDF, find ED
qaws [65]

Answer:

10

Step-by-step explanation:

\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore  \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore   \: 15 \times 4 = (x + 3)(3x + 1) \\  \\ \therefore   \: 60 = 3 {x}^{2}  + x + 9x + 3 \\  \\ \therefore  3 {x}^{2}  + 10x + 3 - 60 = 0 \\ \therefore  3 {x}^{2}  + 10x  - 57 = 0 \\ \therefore  3 {x}^{2}  + 19x - 9x  - 57 = 0 \\ \therefore   \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore   \:  (3x + 19)(x - 3) = 0 \\ \therefore   \: 3x + 19 = 0 \:  \: or \:  \: x - 3 = 0 \\  \therefore   \: x =  -  \frac{19}{3}  \:  \: or \:  \: x = 3 \\  \because \: x \: can \: not \: be \:  - ve \\ \therefore   \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1  \\ \huge \red{ \boxed{ ED= 10}}

7 0
3 years ago
Can someone help me with this ?
worty [1.4K]

Answer:

just use a calculator

Step-by-step explanation:

or use photo shop to get ez answers

4 0
3 years ago
In a study of the accuracy of fast food​ drive-through orders, one restaurant had orders that were not accurate among orders obs
Lesechka [4]

Complete Question

In a study of the accuracy of fast food drive-through orders, one restaurant had 32 orders that were not accurate among 367 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?

Answer:

The decision rule  is

  Fail to reject the null hypothesis

The conclusion is  

  There is sufficient evidence to show that the rate of inaccurate orders is equal to​ 10%

Step-by-step explanation:

Generally from the question we are told that

   The sample size is  n =  367

    The number of orders that were not accurate is  k = 32

    The population proportion for rate of inaccurate orders is  p = 0.10

The null hypothesis is  H_o :  p = 0.10

The alternative hypothesis is  H_a :  p \ne 0.10

Generally the sample proportion is mathematically represented as  

         \^ p = \frac{k}{n}

=>      \^ p = \frac{32}{367}

=>      \^ p = 0.0872

Generally the test statistics is mathematically represented as

         z= \frac{ \^ p - p }{ \sqrt{ \frac{ p(1 - p)}{ n} } }

=>      z= \frac{ 0.0872  - 0.10 }{ \sqrt{ \frac{ 0.10 (1 - 0.10 )}{367} } }  

=>      z= -0.8174

From the z table  the area under the normal curve to the left corresponding to  -0.8174 is  

         P(z <  -0.8173 )  = 0.20688

Generally the p-value is mathematically represented as

         p- value =  2 *  0.20688

=>      p- value =  0.4138

From the value obtained we see that  p-value >  \alpha hence

The decision rule  is

  Fail to reject the null hypothesis

The conclusion is  

  There is sufficient evidence to show that the rate of inaccurate orders is equal to​ 10%

 

4 0
3 years ago
What is greater than 0.05 but less than 0.06
ArbitrLikvidat [17]
Something between 0.05 and between 0.06 so between those to could be 0.051 0.052 0.053 0.054 0.055 0.056 0.057 0.058 0.059
6 0
3 years ago
Plz help i need this done now.
tatuchka [14]

Answer:

infinite solutions

Step-by-step explanation:

4x+4(3x+7) = 8(2x-3) +52

Distribute

4x+12x+28 = 16x-24+52

Combine like terms

16x+28 = 16x +28

Subtract 16x from each side

16x-16x+28 = 16x-16x +28

28=28

This is true, so there are infinite solutions

8 0
3 years ago
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