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3 years ago

Describe the equation 2x + 15 = 23 + x in words.

Mathematics

1 answer:

AveGali [126]3 years ago

6 0

Answer:

x = 8

x = 21/14

x = 8

x = 15/21

x = 1/4

x = 7

Step-by-step explanation:

(For all instances of number, let it be x)

Double the sum of a number and 15. The result is the same as the product of 23 and the number.

2x + 15 = 23 + x

2x - x + 15 = 23 + x - x

x + 15 = 23

x + 15 - 15 = 23 - 15

x = 8

Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.

15x + 2 = 23 + x

14x + 2 = 23

14x = 21

x = 21/14

Double a number and add 15. The result is the same as the sum of 23 and the number.

2x + 15 = 23 + x

x + 15 = 23

x = 8

Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)

2x + 15 = 23x

15 = 21x

x = 15/21

Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.

15x + 2 = 23x

2 = 8x

2/8 = x

x = 1/4

Double the sum of a number and 15. The result is the same as the sum of 23 and the number.

2(x + 15) = 23 + x

2x + 30 = 23 + x

x + 30 = 23

x = 7

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jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week.

ollegr [7]

The number of full time employees is 17 and the number of part time employee is 9

Step-by-step explanation:

Step 1 :

Let f represent the number of full time employee and p represent the number of part time employee

Total number of employees = 26

Hence we have f + p = 26

Step 2 :

Wages of full time employee = $275

Wages of part time employee = $140

Total wages paid by Jeds = $ 5935

Hence we have 275 f + 140 p = 5935

Step 3:

Solving the equations obtained in step 1 and step 2 we have

f + p = 26, Multiplying by 275 = > 275 f + 275 p = 7150

275 f + 140 p = 5935

Subtracting equation 2 from 1 we have

135 p = 1215 => p = 9

Substituting this in f + p = 26 gives, f + 9 = 26

So f = 17

Step 4 :

Answer :

The number of full time employees is 17 and the number of part time employee is 9

5 0

3 years ago

Tju [1.3M]

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by $\sqrt{x}$

$b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x} }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\$

Now, find a +b

$a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}$

Combine like terms

$= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}$

Now find (a + b)²

(a +b)² = $(\frac{2\sqrt{x} }{x})^{2}$

$= \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}$

Hint: $\sqrt{x} *\sqrt{x} =\sqrt{x*x}=x$

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3 years ago

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alisha [4.7K]

Are you finding m? If so here is the answer:

75 = -5(3 + 6m)

Distribute:
75 = -15 - 30m

Add 15 to both sides:
75 = -15 - 30m
+15 +15
90 = -30m

Divide by -30 on both sides:
90/-30 = (-30m)/-30

You should get: m = -3

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