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2 years ago

What property is used to get from step 1 : 6(5x-2)=0 to step 2: 5x=2

Mathematics

1 answer:

jonny [76]2 years ago

7 0

Answer:

Step-by-step explanation:

You can do one of two things when you start this question.

you can use the distributive property to get rid of the brackets or
you can do what was done here: divide both sides of the given equation by 6. So the answer is, divide both sides by 6

You might be interested in

1. 7+8-2 .

AnnZ [28]

Answer:

1. 13

2. 11

3. 10

4. 9

5. 12

6. 16

7. 14

8. 40

Step-by-step explanation:

8 0

3 years ago

What’s the correct answer for this?

slava [35]

Answer:

1/4

Step-by-step explanation:

Let's denote the probabilities as following:

Probability that a teenager has a sister:

P(A) = 12/28

Probability that a teenager has a brother:

P(B) = 7/28

Probability that a teenager has both a sister and a brother:

P(A⋂B) = 3/28

Probability that a selected teenager has a sister also has a brother, or in other words, he/she has a brother, given he/she had a sister:

P(B|A)

Let's apply the formula of conditional probability to work out P(B|A)

P(B|A) = P(A⋂B)/P(A) = (3/28)/(12/28) = (3*28)/(12*28) = 3/12 = 1/4

=> Option C is correct

Hope this helps!

7 0

3 years ago

What is the area of the figure below ?

Airida [17]

Answer:

Step-by-step explanation:

Area of the figure = area of the down triangle + area of trapezium + area of the upper triangle

Down triangle:

Base b = 8 in

Height = 6 in

$Area = \frac{1}{2}bh\\=\frac{1}{2}*8*6\\\\=4*6$

= 24 in²

Trapezium:

bases a = 4 in & b = 6 in

Height h = 5 in

$Area=\frac{(a+b)h}{2}\\\\=\frac{(4+6)*5}{2}\\\\=\frac{10*5}{2}\\\\=5*5$

= 25 in²

Area of the upper triangle:

Base b = 6 in

Height = (8 - 5) = 3 in

$Area=\frac{1}{2}bh\\\\=\frac{1}{2}*6*3\\\\=3*3$

= 9 in²

Area of the figure = 24 + 25 + 9 = 58 in²

3 0

3 years ago

Read 2 more answers

Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. Ho

Alex777 [14]

Answer:

2 7/20

Step-by-step explanation:

So Lets put these into a fraction form

Petra: 5 3/5

Pauline: 3 4/16 -> Can be Simplified = 3 1/4

Take the number of pies Petra Ate and subtract it by the number of pies Pauline ate

Change the numbers to a common factor. (multiply 3/5 by 4 and 1/4 by 5 to have common denominators)

$5 \frac{12}{20} - 3 \frac{5}{20}$

Make These Into a Mixed Fraction

$\frac{112}{20} -\frac{65}{20}$

Subtract 112-65

$\frac{47}{20}$

Simplify (divide 47 into 20 how many times to get into a mixed fraction)

$2 \frac{7}{20}$

I think this is right. Hope This Helps

7 0

3 years ago

Read 2 more answers

The mean number of hours of study time per week for a sample of 562 students is 23. If the margin of error for the population me

Vadim26 [7]

Answer:

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

Step-by-step explanation:

Confidence interval:

Sample mean plus/minus the margin of error.

In this question:

Mean of 23.

Margin of error 2.1.

Then

23 - 2.1 = 20.9

23 + 2.1 = 25.1

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

3 0

2 years ago