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3 years ago

Five times the difference of a number and twelve is greater than forty.

Mathematics

2 answers:

Naya [18.7K]3 years ago

6 0

Answer:

This is the value in numbers.

5(n-12)>40

Step-by-step explanation:

Let's solve your inequality step-by-step.

5(n−12)>40

Step 1: Simplify both sides of the inequality.

5n−60>40

Step 2: Add 60 to both sides.

5n−60+60>40+60

5n>100

Step 3: Divide both sides by 5.

100

n>20

Answer:

n>20

sattari [20]3 years ago

5 0

Answer:

so, the required inequality is : -

=》5(x - 12) > 40

and it's solution: -

=》x > 20

Step-by-step explanation:

here's the solution : -

let the number be x

difference between the number and 12 is :-

=》x - 12

five times the difference of a number and 12 is :-

=》5(x - 12)

and we know this is greater than forty

so, the inequality will be : -

=》5(x - 12) > 40

now solving the inequality : -

=》x - 12 > 40 ÷ 5

=》x > 8 + 12

=》x > 20

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Answer question 4. Please show work.

Finger [1]

X+12 +5x =6x+12 =90
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=78
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X=13

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3 years ago

ABC is an isosceles triangle in which ab and ac are equal if d is a the midpoint of BC prove that ABD=ADC

jeka94

Answer:

Step-by-step explanation:

Given that,

ABC is an Isosceles triangle.

In an Isosceles triangle the opposite sides ( AB =AC) are equal; Their base angles ( < ABD = < ACD) are also equal to each other.

It is als given that D is the mid point of BC.

i.e., BD = CD

Therefore,

By SAS theorem of congruency of triangles,

ABD = ACD

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4 0

3 years ago

Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence

Alchen [17]

Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

The margin of error is given by:

$M = z\frac{\sigma}{\sqrt{n}}$

In this problem, we have that the parameters are given as follows:

$M = 3, z = 1.645, \sigma = 16$ .

Hence, solving for n, we find the sample size.

$M = z\frac{\sigma}{\sqrt{n}}$

$3 = 1.645\frac{16}{\sqrt{n}}$

$3\sqrt{n} = 1.645 \times 16$

$\sqrt{n} = \frac{1.645 \times 16}{3}$

$(\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2$

$n = 76.97$

Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.

More can be learned about the z-distribution at brainly.com/question/25890103

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2 years ago

Find the zeros of the function. f(x) = 4x3 - 12x2 - 40x

mote1985 [20]

First take out the GCF which is 4x

4x (x^2 - 3x - 10) = 0

4x(x - 5)(x + 2) = 0

4x = 0 so x = 0

x - 5 = 0 so x = 5

x+2 = 0 so x = -2

zeros are -2, 0 and 5

3 0

3 years ago

The sum of a number and four times another number is 25

lianna [129]

Answer:

try 5

Step-by-step explanation:

21+4*5=25

4 0

3 years ago

Read 2 more answers