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3 years ago

The table shows the solution to the equation |2x − 5| − 2 = 3:

Mathematics

2 answers:

andrew-mc [135]3 years ago

8 0

Answer:

All steps are correct

Step-by-step explanation:

|2x − 5| − 2 = 3

Step 1

|2x − 5| = 3 + 2 (adding 2 on both sides)

Step 2

|2x − 5| = 5

Step 3

2x − 5 = 5 or 2x − 5 = −5 (on opening the modulus, we get 2 cases)

Step 4

2x = 10 or 2x = 0 (adding 5 on both sides)

Step 5

x = 5 or x = 0 (dividing by 2 on both sides)

Hence, each step was correct

deff fn [24]3 years ago

5 0

|2x - 5| - 2 = 3 |add 2 to both sides

|2x - 5| = 5

2x - 5 = 5 or 2x - 5 = -5 |add 5 to both sides

2x = 10 or 2x = 0 |divide both sides by 2

x = 5 or x = 0

All steps are correct.

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Solve for x: 6 over x equals 4 over 8 10 12 24 48

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Answer:

The answer is 12.

Step-by-step explanation:

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3 years ago

An n-digit number is a positive number with exactly n digits. Nine hundred distinct n digit numbers are to be formed using only

kolbaska11 [484]

$\underbrace{3\cdot3\cdot3\cdot\ldots}_{n}\geq900\\\\
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A box of 24 greeting cards is sold at a gift shop for $3.00. The cost to the store is $2.40. What is the markup as a percentage

olasank [31]

Answer:

25% markup

Step-by-step explanation:

To do this you must know the formula

absolute value of ( original-new)/original

In this problem the original is 2.4

2.4-3.00=-0.6, but take absolute value=0.6

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I hope this helped!

7 0

3 years ago

In a recent survey of monetary donations made by college graduates, the following information was obtained: 91 graduates had don

vodka [1.7K]

Answer: a) 11.26% and b) 50.23%

Step-by-step explanation:

Number of graduates donated to a political campaign n(A) = 91

Number of graduates donated to assist medical research n(B) = 76

Number of graduated to help preserve the environment n(C) = 131

Number of graduated donated to all n(A∩B∩C) = 27

Number of graduates donated to none = 24

Number of graduated donated to political campaign and to medical research n(A∩B) = 32

Number of graduates donated to medical research and to preserve the environment n(B∩C) = 48

Number of graduates donated to a political campaign and to preserve the environment n(C∩A) = 56

Now,

n(U)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C) -n(C∩A)+n(A∩B∩C)+n(none)

$n(U)=91+76+131-32-48-56+27+24=213$

So, What percent of the college graduates donated to none of the three listed causes?

Percentage would be

$\dfrac{24}{213}\times 100\\\\=11.26\%$

(b) What percent of the college graduates donated to exactly one of the three listed causes?

Exactly one = 91+76+131-2(32-56-48)+3(27)=107

Percentage would be

$\dfrac{107}{213}\times 100\\\\=50.23\%$

Hence, a) 11.26% and b) 50.23%

4 0

3 years ago

Suppose Clara has a collection of old CDs. If the diameter of a CD measures about 12 centimeters, approximate the circumference

Strike441 [17]

Answer:

The circumference of the CD is approximately 38 cm

Step-by-step explanation:

The circumference of the CD can be seen as the distance around the CD.

The word "circumference" is used to describe the perimeter of circular objects.

To find an approximate value of the circumference of the CD, we will use this formula.

Circumference = π × diameter

let us take π to be = 3.142

∴ circumference = 3.142 × 12 = 37.6991 cm

we can round this up to teh nearest tenth as 38cm

7 0

3 years ago