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BARSIC [14]
2 years ago
11

Write an equation you could use for this word problem. Do not need to solve.

Mathematics
2 answers:
blondinia [14]2 years ago
7 0

Answer:

23 + x = 40

Step-by-step explanation:

Hi,

23 is the total amount your friend has. 23 + the total amount you have is equal to 40. Since we don't know how much you have, we can write x. Therefore, 23 + x = 40 would be correct.

Hope this helps :)

seraphim [82]2 years ago
7 0

Answer:

40 - 23 = x

40 - x = 23

x + 23 = 40

Step-by-step explanation:

You can get the sum through either addition or subtraction.

x = 17 (just in case)

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Evaluate (3x-y)/(3(x-y)) if x = 5 and y = 3. *
mel-nik [20]

Answer:

2

Step-by-step explanation:

Write the equation

\frac{3x-y}{3(x-y)}

Add the variables

\frac{3(5)-3}{3(5-3)}

Multiply 3 x 5

\frac{15-3}{3(5-3)}

Subtract the parentheses

\frac{15-3}{3(2)}

Subtract the numerator

\frac{12}{3(2)}

Reduce the fraction with 3

\frac{12}{3(2)} = \frac{4}{2}

Reduce the fraction again with 2

\frac{4}{2} = 2

And there's your answer of 2!

5 0
3 years ago
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat
madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is  H_o  :  \mu =  122

the alternative hypothesis is H_a  :  \mu \ne  122

The test statistics is  t =  - 1.761

The p-value is  p =  P(Z  <  t ) = 0.039119

so

    p  \ge 0.01

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  = 122

     The sample size is  n=  38

    The sample mean is  \= x  =  116 \ feet

     The standard deviation is \sigma  =  21

     

Generally the null hypothesis is  H_o  :  \mu =  122

                the alternative hypothesis is H_a  :  \mu \ne  122

Generally the test statistics is mathematically evaluated as

         t =  \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }

substituting values

         t =  \frac { 116 -  122 }{\frac{ 21 }{ \sqrt{ 38} } }

         t =  - 1.761

The p-value is mathematically represented as

      p =  P(Z  <  t )

From the z- table  

     p =  P(Z  <  t ) = 0.039119

So  

     p  \ge 0.01

 

         

     

           

4 0
2 years ago
A plane is uniquely determined by three non-collinear points. What is the maximum possible number of planes that can be determin
Daniel [21]

Answer:

6 planes

Step-by-step explanation:

4 0
2 years ago
If sally got 28 questions correct and received 70% on the exam, how many questions were on the exam
Furkat [3]

Answer: 40

Step-by-step explanation:

Number of correct questions Sally got = 28 questions

Percentage of correct questions answered= 70% on the exam,

Total number of questions in the exam = Unknown

Let the total questions in the exam be represented as y.

Since Sally got 70% correctly, this will be:

70% of y = 28

70/100 × y = 28

0.7 × y = 28

0.7y = 28

Divide both side by 0.7

0.7y/0.7 = 28/0.7

y = 40

There are 40 questions in the exam.

7 0
3 years ago
Please help me figure out this problem
tiny-mole [99]

Answer:

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=x\\\\g(f(x))=g\left(-\dfrac{5}{3}x-7\right)=x

Step-by-step explanation:

Fill in the given expressions and simplify.

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=-\dfrac{5}{3}\left(-\dfrac{3x+21}{5}\right)-7\\\\=\left(-\dfrac{5}{3}\right)\left(-\dfrac{3x}{5}\right)-\left(\dfrac{5}{3}\right)\left(-\dfrac{21}{5}\right)-7\\\\=\dfrac{15x}{15}+\dfrac{5\cdot 21}{3\cdot 5}-7=x+7-7=x

Going the other way, we have ...

g(f(x))=\displaystyle -\frac{3\left(-\frac{5}{3}x-7\right)+21}{5}=-\frac{-5x-21+21}{5}=x

5 0
3 years ago
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