Solve the equation
- 1
- m - 7 = 5
3

Answers

Answer 1
Answer:

1/3m-7=5

One solution was found :

m = 36
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

1/3*m-7-(5)=0

Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

1
((— • m) - 7) - 5 = 0
3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m - (7 • 3) m - 21
——————————— = ——————
3 3
Equation at the end of step 2 :

(m - 21)
———————— - 5 = 0
3
Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(m-21) - (5 • 3) m - 36
———————————————— = ——————
3 3
Equation at the end of step 3 :

m - 36
—————— = 0
3
Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

m-36
———— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
m-36 = 0

Solving a Single Variable Equation :

4.2 Solve : m-36 = 0

Add 36 to both sides of the equation :
m = 36

One solution was found :

m = 36

I happen this help

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01:30:4Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the
solution set of this problem?

Answers

Answer:

x<_ 21

Step-by-step explanation:

5(x+27)>_ =6(x+26)

5x +135 >_ 6x +156

5x >_6x +21

-x>_21

x<_21

Mr. Golv is practicing his jiu jitsu drill where he does 5 guard passes and 2 kimura arm locks. A guard pass takes G seconds, and a kimura arm lock takes K seconds. Which expressions can we use to describe the number of seconds it takes Mr. Golv to complete his jiu-jitsu drill 7 times?

Answers

Answer:

  1. 7(5G + 2K)
  2. 14K + 35G

Answer:

35g + 14k

Step-by-step explanation:

T = time D = drill

D(5G + 2K) = T

7(5g + 2k) = T

35g + 14k = T

35g + 14k is the answer.


Write the equation of the given circle. Center (1,-5) Radius of 10

Answers

The equation of the circle with the given center and radius is x²-2x+y²+10y-74=0.

What is a circle equation?

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

Given that, the center of a circle is (1, -5) and the radius is 10 units.

Now, equation of a circle is

(x-1)²+(y+5)²=10²

x²+1-2x+y²+25+10y=100

x²-2x+y²+10y+26=100

x²-2x+y²+10y-74=0

Therefore, the equation of the circle with the given center and radius is x²-2x+y²+10y-74=0.

To learn more about an equation of a circle visit:

brainly.com/question/23799314.

#SPJ2

(x-1)^2 + (y+5)^2 =100

4. Jeanne has $17.50 in her piggy bank. How much money, m, does she need to buy a game that costs $68.75?5. A number increased by 18 is 50.



6. A number when multiplied by 3 is -21


7. A number divided by -8 is 6



8. Ellen is x years old right now. In thirteen years she will be 24 years old. How old is she now?

9. Each piece of candy costs 0.25 cents. Sam bought a handful of candy and it costs a total of $2.00. How many pieces did he buy?


10. Suzanne made a withdrawal from her savings account. Her old balance was $350.72, and her new balance is $280.20. How much did she withdraw?



11. A large pizza has s, amount of slices that are split among 5 kids. The amount of slices each kid gets is 3. How many slices were there total?

Answers

Answer:

5)32

6)-7

7)-48

8)11

9)800

10)70.52

11)15

Step-by-step explanation:

You are to take a multiple-choice exam consisting of 100 questions with 5 possible responses to each question. Suppose that you have not studied and so must guess (select one of the five answers in a completely random fashion) on each question. Let x represent the number of correct responses on the test. (a) What is your expected score on the exam? (Hint: Your expected score is the mean value of the x distribution.) (b) Compute the variance and standard deviation of x. Variance = Standard deviation =

Answers

Answer:

a) 20

b) Variance 16, standard deviation 4

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you do not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

The standard deviation of the binomial distribution is:

√(V(X)) = √(np(1-p))

100 questions

So n = 100.

You guess

5 options, one correct. So p = (1)/(5) = 0.2

(a) What is your expected score on the exam?

E(X) = np = 100*0.2 = 20

(b) Compute the variance and standard deviation of x.

Variance:

V(X) = np(1-p) = 100*0.2*0.8 = 16

Standard deviation:

√(V(X)) = √(16) = 4

What is the 100th term in the pattern with the formula n+7

Answers

To find it, put 100 where n is in the formula and evaluate
.. n + 7
for n = 100
.. 100 +7
.. = 107

The 100th term is 107.