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3 years ago

E/2+7=4e hey does anyone know how to solve for e?

Mathematics

2 answers:

goldenfox [79]3 years ago

4 0

Answer:

$\boxed{ \boxed{ \boxed{ \bold{ \sf{e = 2}}}}}$

Step-by-step explanation:

$\sf{ \frac{e}{2} + 7 = 4e}$

Take L.C.M of 2 and 1

⇒ $\sf{ \frac{e + 7 \times 2}{2} = 4e}$

Multiply the numbers

⇒ $\sf{ \frac{e + 14}{2} = 4e}$

Apply cross product property

⇒ $\sf{e + 14 = 8e}$

Move variable to left hand side and change it's sign

Similarly, move constant to right hand side and change it's sign

⇒ $\sf{ e - 8e = - 14}$

Collect like terms

⇒ $\sf{ - 7e = - 14}$

Change the signs of both sides of the equation

⇒ $\sf{7e = 14}$

Divide both sides of the equation by 7

⇒ $\sf{ \frac{7e}{7} = \frac{14}{7} }$

Calculate

⇒ $\sf{e = 2}$

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How can we find the L.CM?

The steps for finding L.C.M of the numbers are mentioned below:

Step 1 : First of all find the prime factors of each numbers.

Step 2: Take out the common prime factors. Step 3 : Also take out the other remaining prime factors.

Step 4 : Multiply those all prime factors and obtain L.C.M . If there is not any common prime factors then their L.C.M is the product of the given numbers.

--------------------------------------------------------

In our case , we are going to find out the LCM of 2 and 1.

First, Find all prime factors of 2 and 1

2 = 1 × 2

1 = 1 × 1

Common prime factor = 1

Remaining prime factors = 2 and 1

Multiply them : 1 × 2 × 1 = 2

Hope I helped!

Best regards!!

Veseljchak [2.6K]3 years ago

4 0

Answer:

e = 2

Step-by-step explanation:

e/2 + 7 = 4e

e/2= 4e - 7

e = 2(4e-7)

e = 2*4e + 2*-7

e = 8e - 14

14 = 8e - e

14 = 7e

e = 14/7

e = 2

probe:

2/2 + 7 = 4*2

1 + 7 = 8

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klio [65]

Answer:

Step-by-step explanation:

A rectangle is shown with length x plus 10 and width 2 x plus 5.

so the rectangle area = length * width

= (x + 10) * (2x + 5)

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so the unshaded square area = (x + 1) * (x + 1)

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= (x + 10) * (2x + 5) - (x + 1) * (x + 1)

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3 0

3 years ago

Read 2 more answers

PLEASE HELP it should be easy for someone but I can’t do it

-Dominant- [34]

Answer:

Total crackers on the plate are 12

Step-by-step explanation:

Manuel ate crackers = $\frac{1}{3}$

His brother ate crackers = $\frac{1}{4}$

Crackers left on the plate = 5

We need to find how many crackers were there on the plate.

Let x be the total crackers on the plate

So, we can write the equation

$x-\frac{1}{3}x-\frac{1}{4}x=5$

Because 1/3 and 1/4 crackers are eaten and 5 are left so, we subtract 1/3x and 1/4x from x and equal it to 5

$\frac{12x-4x-3x}{12}=5\\\frac{12x-7x}{12}=5\\\frac{5x}{12}=5\\x=\frac{5*12}{5}\\x=12$

So, we get x = 12

Therefore, total crackers on the plate are 12

8 0

3 years ago

Derek is training for a half-marathon. His training plan sets his goal for this week at 18 miles with three short runs and one l

Zielflug [23.3K]

Answer:

8.65 miles

Step-by-step explanation:

The total of his short runs are 9.35 so you need to find out how many miles he has left till he reaches 18 miles.

The equation you can use is 9.35 + x = 18 x will equal the number of miles for the long run.

9.35 + x = 18

to isolate x you will subtract 9.35 from both sides.

you will get:

x = 8.65

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3 years ago

Read 2 more answers

According to sleep researchers, if you are between the ages of 12 and 18 years old, you need 9 hours of sleep to be fully functi

Alexxx [7]

Answer:

d) H0:μ=9 and Ha:μ<9

$t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77$

$p_v =P(t_{(27)}$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is significantly lower than 9 hours at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=7.9$ represent the sample mean

$s=2.1$ represent the sample standard deviation

$n=28$ sample size

$\mu_o =9$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the students at this high school are getting too little sleep, the system of hypothesis would be:

Null hypothesis: $\mu \geq 68$

Alternative hypothesis: $\mu < 68$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

The best option for this case would be:

d) H0:μ=9 and Ha:μ<9

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=28-1=27$

Since is a one sided test the p value would be:

$p_v =P(t_{(27)}$

Conclusion

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3 years ago

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ella [17]

Answer: should be

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3 years ago