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Sergeu [11.5K]
3 years ago
15

Describe the similarities and differences in the solution of 2x -7 =15 and 2x - 7 < 15

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
<span>Both solutions will have values that exist at the "11" value. However, the major difference is due to one being an equation and the other an inequality. The first equation only has one solution. The inequality has infinitely many solutions, and they are all the values that are less than 11 (x<11).</span>
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Use the drop-down menus to choose steps in order to correctly solve 5(z + 6) – 2 = 9z for z.
shusha [124]
Solve for z:
5 (z + 6) - 2 = 9 z

5 (z + 6) = 5 z + 30:
5 z + 30 - 2 = 9 z

Add like terms. 30 - 2 = 28:
5 z + 28 = 9 z

Subtract 9 z from both sides:
(5 z - 9 z) + 28 = 9 z - 9 z

5 z - 9 z = -4 z:
-4 z + 28 = 9 z - 9 z

9 z - 9 z = 0:
28 - 4 z = 0

Subtract 28 from both sides:
(28 - 28) - 4 z = -28

28 - 28 = 0:
-4 z = -28

Divide both sides of -4 z = -28 by -4:
(-4 z)/(-4) = (-28)/(-4)

(-4)/(-4) = 1:
z = (-28)/(-4)

The gcd of 28 and -4 is 4, so (-28)/(-4) = (-(4×7))/(4 (-1)) = 4/4×(-7)/(-1) = (-7)/(-1):
z = (-7)/(-1)

(-7)/(-1) = (-1)/(-1)×7 = 7:
Answer:  z = 7
5 0
3 years ago
Read 2 more answers
Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co
anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5






8 0
3 years ago
Which rules has a scale factor of 5 and shifted up and to the left?
serious [3.7K]

Answer:

185 37 = 5 1; the scale factor is 5: 1. So every other linear measure is multiplied times 5. If we have the big right triangle and want to scale it down to make the smaller one, we write this: 37 185 = 1 5

Step-by-step explanation:

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3 years ago
I really need the answer for this problem
morpeh [17]
The answer to your problem is 20%
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3 years ago
Which statement best describes the polynomial 2x^3+x+5?
nalin [4]
The polynomial is not factorable with rational numbers
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4 years ago
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