Greatest common factor for 30 abd 42

Answers

Answer 1
Answer:

Answer:

  6

Step-by-step explanation:

Because you are familiar with your times tables, you know that ...

  30 = 6·5

  42 = 6·7

The greatest common factor is 6.


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5y+ 9< 24 what is the inequality?

Answers

Answer:

y<3

Step-by-step explanation:

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

5y+9<24

Step 1: Subtract 9 from both sides.

5y+9−9<24−9

5y<15

Step 2: Divide both sides by 5.

5y/5 < 15/5

y<3

Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.

Answers

Answer:

x_1 = 1

x_2=0

Step-by-step explanation:

The question is incomplete as the method is not given.

However, the question can still be solved.

Given

x_1 - x_2 = 1

3x_1 + x_2 = 3

Make xi the subject in the first equation

x_1 = 1 + x_2

Substitute 1 + x2 for xi in the second equation

3(1+x_2)+x_2 = 3

Open bracket

3+3x_2+x_2=3

3+4x_2=3

Collect Like Terms

4x_2 = 3-3

4x_2 =0

Solve for x2

x_2=0/4

x_2=0

Recall that:

x_1 = 1 + x_2

x_1 = 1+0

x_1 = 1

Final answer:

The solution to the given system of equations is obtained through substitution. The process involves replacing a variable in one equation with an expression from the other. The final solutions are x1=1 and x2=0.

Explanation:

The system of equations in question is:

1) x1 - x2 = 1

2) 3x1 + x2 = 3

The method to solve this system is through substitution or elimination. First, rewrite the first equation x1 = x2 + 1. This allows us to substitute x1 - 1 for x2 in the second equation, yielding 3(x2 + 1) + x2 = 3, simplifying to 4x2 + 3 = 3. Solving for x2, we get x2 = 0. Substituting x2 into x1 = x2 + 1, we conclude that x1 = 1. Thus, the solution to the system is x1 = 1, x2 = 0.

Learn more about System of Equations here:

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Which equation represents the line that passes through points (1, –5) and (3, –17)?A. y = -6x + 1
B. y = 6x + 1
C. y = -6x - 1
D. y = 6x - 1

Answers

Answer:

C

Step-by-step explanation:

I’m rusty with my math, so I’m not 100% sure this is correct. My best attempt.

(1,-5) & (3,-17)

1=1x, -5=1y, 3=2x, -17=2y

Formula is y2-y1/x2-x1

-17 - -5 = -12

3 - 1 =2

So -12/2 = -6

Formula for the line is

y-y1 = m (x-x1)

In this equation m=-6

Y - -5 = -6 ( x - 1 )

Answer:C

Step-by-step explanation:

What is the answer to this?
Multiply

1/4 x -2=

Answers

Answer:

-0.5

Step-by-step explanation:

Answer:

−8x+1  / 4x

Step-by-step explanation:

In some division problems, a number or pattern of number that continues indefinitely is a?

Answers

my guess would be a repeating decimal or an infinite decimal.

miranda is riding her bicycle she goes from 5m/s to 20m/s over a period of 30 seconds at. what rate what is her acceleration​

Answers

Step-by-step explanation:

Acceleration= (final velocity - initial velocity)/ time

= v-u/t

v = 20m/s

u = 5m/s

t= 30s

= 20-5/30

= 15/30

= 0.5ms^-2