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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Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 147 subjects with positive test results, there are 30 false positive results; among 157 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.)a. The probability that a randomly selected subject tested negative or did not use marijuana is___________.
(Do not round until the final answer. Then round to three decimal places as? needed.)
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Answers

Answer:

(a)0.615

(b)304

(c)183

Step-by-step explanation:

Among 147 subjects with positive test results, there are 30 false positive (actually negative) results;

Among 157 negative results, there are 4 false-negative (actual positive) results.

The table below summarises the given data.

\left\begin{array}{c|c|c|cc}&$Use Marijuana&$Did Not Use Marijuana&$Total\n---&-------&-------&-------\n$Positive Result&117&30&147\n$Negative Result&4&153&157\n---&-------&-------&-------\n$Total&121&183&304\end{array}\right

(a)The probability that a randomly selected subject tested negative or did not use marijuana

P(negative or did not use marijuana)

=P(negative)+P(did not use marijuana)-P(both)

=(157)/(304)+ (183)/(304)-(153)/(304)\n=(187)/(304)\n\n\approx 0.615

(b)There were a total of 304 subjects in the study.

(c)A total of 183 subjects did not use marijuana.

A polling company conducts an annual poll of adults about political opinions. The survey asked a random sample of 419 adults whether they think things in the country are going in the right direction or in the wrong direction, 54% said that things were going in the wrong direction. How many people would need to ve surveyed for a 90% confidence interval to ensure the margin or error would be less than 3%?

Answers

Answer: 747

Step-by-step explanation:

When prior estimate of population proportion (p) is given , then the formula to find the sample size is given by :-

n=p(1-p)((z^*)/(E))^2

, where z* = Critical value and E = Margin of error.

As per given , we have

p= 0.54

E= 0.03

Critical value for 90% confidence : z* = 1.645

Then, the required sample size is given by :-

n=0.54(1-0.54)((1.645)/(0.03))^2

n=0.2484(54.8333333333)^2

n=746.862899999\approx747

Hence, the number of people would be needed = 747

Which could be the first step in simplifying this expression? Check all that apply.(x cubed x Superscript negative 6 Baseline) squared
(x Superscript negative 18 Baseline) squared
(x Superscript negative 3 Baseline) squared
(x Superscript negative 2 Baseline) squared
x Superscript 6 Baseline x Superscript negative 12 Baseline
x Superscript 5 Baseline x Superscript negative 4

Answers

Answer:

The answer is C, D, E  

Step-by-step explanation:

ON EDGE 2021

Answer:

I think that the answers are B and D.

Step-by-step explanation:

(x^-3)^2

x^6 x^-12

I'm so sorry if it's wrong.

In the expression -3g + 12, how many terms are in the expression? *1
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2
Which had the greatest coefficient? *
16 - 2x
4 + 6x
10 - 9x
15x
Which had the smallest coefficient? *
16 - 2x
4 + 6x
10 - 9x
15x
The factors of the expression 5(c + d) are 5 and *
c
(c + d)
Option 3
c and d
Are the expressions (a + b)(c + d) and (c + d)(a + b) equivalent? *
yes, they have the same quantities and factors
no, they do not have the same quantities or factors
yes they have the same quantities only
not they do not have the same quantities or factors

Answers

  1. 2
  2. 6 + x -2y
  3. 15x
  4. 16 - 2x
  5. 5 and (c + d)
  6. Yes, same quantities and factors

A smoothie recipe calls for 3 cups of soy milk, 2 frozen bananas and, 1 tablespoon of chocolate syrup. Write a sentence that uses a ratio to describe this recipe.

Answers

Answer:

3:2:1

Step-by-step explanation:

One advantage of a variable interest rate over a fixed interest rate is that avariable rate:

A. is often lower initially

B. offers borrowers more flexible terms.

c. can be used for large purchases.

D. increases when the market rate increases

Answers

The term variable implies that the rate is bound to change over time, in this context variable interest rate may double as an Advantage and also as a disadvantage.

D. increases when the market rate increases

Variable interest rate is advantageous because as the market rate increases, the rate at which the customer will receive his/her interest will increase too

Learn more about interest rate here:

brainly.com/question/25720319

Answer: a

Step-by-step explanation: