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Nadya [2.5K]
2 years ago
8

- 8th Grade Math - Solve the system of equations: 2x - 4y = 10, x = 2y + 5

Mathematics
1 answer:
4vir4ik [10]2 years ago
4 0

Answer:

All real numbers

Step-by-step explanation:

Since x=2y+5, and 2x-4y=10, substitute 2y+5 for x into 2x-4y=10

2(2y+5)-4y=10

Use distributive prop.

4y+10-4y=10

10=10

Since both sides of the equation are always equivalent,

All real numbers work, since the two equations are the same line.

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The sum of three consecutive odd numbers is 123 what is the smallest of the three numbers
Inga [223]

Answer:

39

Step-by-step explanation:

Let the three consecutive odd numbers be:

x+2, x+4, x+6.

The sum of the consecutive numbers is 123 i.e

x+2 + (x+4) + (x+6) = 123

x + 2 + x + 4 + x + 6 = 123

3x + 12 = 123

Collect like terms

3x = 123 — 12

3x = 111

Divide both side by the coefficient of x i.e 3

x = 111/3

x = 37

Now let us find the value of the three odd numbers. This is illustrated:

1st : x + 2 = 37 + 2 = 39

2nd : x + 4 = 37 + 4 = 41

3rd : x + 6 = 37 + 6 = 43

The smallest of the three consecutive odd numbers is 39

5 0
3 years ago
- 11/5 -2.4 1.6 15/10 - 2.25 in order from least to greatest
tatuchka [14]

Answer (least to greatest):

  1. -2.4
  2. -2.25
  3. -11/5
  4. 15/10
  5. 1.6

I hope this helps!

8 0
3 years ago
Read 2 more answers
Scores on the Wechsler intelligence quotient (IQ) test are normally distributed with a mean score of 100 and a standard deviatio
rosijanka [135]
15.87% of the population does not meet the minimum standards.

We use z-scores to find this probability:

z=(X-μ)/σ = (85-100)/15 = -15/15 = -1

Using a z-table (http://www.-table.com) we see that the area to the left of, less than, this is 0.1587.  This is 15.87%.
5 0
3 years ago
Olivia has taken an initial dose of a prescription
mrs_skeptik [129]

Answer:

  0.56 milligrams

Step-by-step explanation:

Put 6 where t is and do the arithmetic.

  M(6) = 50·e^(-0.75·6) = 50·e^-4.5 ≈ 0.56 . . . . milligrams

8 0
3 years ago
What is equivalent to 12(3+m)
blondinia [14]

Answer:

36 + 12m

Look at attachment

5 0
2 years ago
Read 2 more answers
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