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Sladkaya [172]
3 years ago
7

Solve for This inequality 8-1/4n>20

Mathematics
2 answers:
Naddik [55]3 years ago
7 0

\text{Solve the inequality:}\\\\8-\frac{1}{4}n>20\\\\\text{Subtract 8 from both sides}\\\\-\frac{1}{4}n>12\\\\\text{Multiply both sides by 4 to cancel the denominator}\\\\-n>48\\\\\text{Divide both sides by -1, while flipping the inequality sign, since you're}\\\text{dividing by a negative}\\\\\boxed{n

lora16 [44]3 years ago
5 0

Answer:

n = -7

Step-by-step explanation:

One solution was found :

                  n = -7

Rearrange:

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

                    8*(1+n)-(-20+4*n)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 8 • (n + 1) -  (4n - 20)  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  4n + 28  =   4 • (n + 7)

Equation at the end of step  3  :

 4 • (n + 7)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    n+7 = 0

Subtract  7  from both sides of the equation :

                     n = -7

One solution was found :

                  n = -7

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Oxana [17]

Answer:

I think it is 2 hours

Step-by-step explanation:

because if you have a whole 3 more hours of work you will get 900 bricks layd and if you minus a hour it might be free srry if it is wrong im kinda dumb

8 0
3 years ago
W+3 3/8 =1 5/6=<br> I know the answer but i want to see if you get it
nasty-shy [4]

Answer:

...

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t
MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0
3 years ago
Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5
Inga [223]

Using the Empirical Rule, it is found that:

  • a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
  • b) Approximately 95% of the amounts are between $38.03 and $49.11.
  • c) Approximately 68% of the amounts fall between $40.73 and $46.27.

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

The Empirical Rule states that, in a <em>bell-shaped </em>distribution:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

-----------

Item a:

43.5 - 3(2.77) = 35.26

43.5 + 3(2.77) = 51.88

Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.

-----------

Item b:

43.5 - 2(2.77) = 38.03

43.5 + 2(2.77) = 49.11

Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.

-----------

Item c:

  • 68% is within 1 standard deviation of the mean, so:

43.5 - 2.77 = 40.73

43.5 + 2.77 = 46.27

Approximately 68% of the amounts fall between $40.73 and $46.27.

A similar problem is given at brainly.com/question/15967965

8 0
3 years ago
Read 2 more answers
What is the measure of the central angle of a circle with radius 60 cm the intercepts a 15 pi centimeters arc
alekssr [168]

The measure of the central angle of a circle is 45⁰

<h3>What is Angle?</h3>

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Here,

Theta (angle) θ = arc length / radius

θ = 15 π / 60 cm

θ =  0.79 radians

Convert to degrees

θ = 0.79 radians = 0.79 X 180/ π

                     = 0.79 X 180/ 3.14

                     = 45⁰

Thus, the measure of the central angle of a circle is 45⁰.

Learn more about Angle from:

brainly.com/question/7116550

#SPJ1

6 0
2 years ago
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