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2 years ago

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:

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 $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

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

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

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