Find the greatest common factor of 16 and 9.

Answers

Answer 1
Answer: The greatest common factor 16 and 9 is one.

The factors of 16 are 1, 2, 4, 8, 16.

The factors of 9 are 1, 3, 9.

The only factor common to both is 1.

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A taxi driver charges a $2 gas fee plus $1.25 for each mile. He charges a customer$17 for a ride. Write and solve an equation to find the distance the customer
traveled in the taxi. *

Answers

I think the answer is y=2(17)+1.25.

Answer:

$2+$1.25x=$17

Step-by-step explanation:

You have to add the $2 to the $1.25 for each mile then multiply that by x to get $17. I think but I could be wrong

Ok, I am stumped. Can I have some help please??Mrs. Fuller determines which four members of a population, labeled 01 to 47, will be in a sample by starting at line 128.

Which members are in the sample?

Table of Random Digits
126: 47934, 01885, 20967, 94841, 27015, 44184, 05108, 86788
127: 73786, 87922, 17887, 03752, 70494, 09483, 34655, 28603
128: 53537, 96428, 40115, 27467, 90826, 52358, 14570, 54184
129: 20266, 49844, 35186, 57228, 65170, 85907, 44662, 91487
130; 89214, 31076, 93733, 30746, 44086, 20432, 94732, 78616

Answers

The correct answer is the first one in the list of choices: 28, 40, 11 and 23.

What is random sample?

There are other ways to randomly sample. This problem illustrates how random sampling can be accomplished using a printed random number table.

Mrs. Fuller needs to randomly sample four members from a population of size 47. Each member of the population is given a unique 2-digit number, in order from 01 to 47.

Mrs. Fuller has a random number table she wishes to use to randomly select four members. She chooses a line from the table, line 128, which reads as follows:

53537 96428 40115 27467 90826 52358 14570 54184

The numbers are separated into sets of 5; this is done for readability. The digits 0-9 appear randomly in each set of 5.

If we envision this line of random numbers as a series of 2-digit numbers, we can use the first four unique 2-digit numbers between 01 and 47 to represent the population members in our sample.

Note that we don't use repeats of numbers we have already selected; we need all four to be different.

Let's reformat the line of 5-digit numbers into a series of two-digit numbers instead.

53 53 79 64 28 40 11 52 74 67 90 82 65 23 58 14 57 05 41 84

Now let's go from left to right and look for the first four 2-digit numbers between 01 and 47. We can't use 53, 79 or 64; those are outside of our desired range.

The fifth 2-digit number is 28, so we can use that. Immediately after it are 40 and 11, so those are good. It's a bit further to the last usable 2-digit number, 23. The four numbers we select appear in BOLD below.

53 53 79 64 28 40 11 52 74 67 90 82 65 23 58 14 57 05 41 84

Hence, the correct answer is the first one in the list of choices: 28, 40, 11 and 23.

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We start at line 128 and sample two-digit numbers.  The first number is 53, which is invalid.  The second is 53, which is also invalid.  Then we have 79 followed by 64, which are invalid.  Finally, we have 28, which is a valid number, followed by 40 and 11, which are also within our population.  Then we get 52, 74, 67, 90, 82, and 65, which are invalid.  Lastly, we have 23, a valid member of the population.

Our sample thus includes the members labeled 11, 23, 28, and 40.

Two number have a sum of 71 and a difference of 37

Answers

The right answer for the question that is being asked and shown above is that:

Two numbers have a sum of 71 and a difference of 37
x + y = 71
x - y = 37

So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
------------
2x = 108
x = 54
y = 71 - 54
y = 17

So the two numbers are 54 and 17
17+54=71 and have a difference of 37.

What is the length of the line segment that is graphed from (3, 1) to (8, 1)?A.
4 units

B.
5 units

C.
8 units

D.
9 units

Answers

Hello,

all you have to do is to calculate the distance betheen the 2 points (pythagorean theorem)

d²=(3-8)²+(1-1)²=25+0=25

d=5

You are mowing a lawn. After 12 minutes, 52% of the lawn still needs mowed. How long does it take to mow the entire lawn? Write an equation that represents the percent y of the lawn that still needs mowed after x minutes.

Answers

The time taken to mow the entire lawn will be 23 minutes.

Let the total time taken be represented by x.

Based on the information given, the total time needed will be:

52% × x = 12

0.52 × x = 12

0.52x = 12

x = 12/0.52

x = 23.08

Therefore, the time taken to mow the entire lawn will be 23 minutes.

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for 12 min you did 48% so
for one min you do 4%
x*4%=100%
x=25

A triangle has an exterior angle with a measure of 120°. Can you determine the measures of the interior angles? Explain.

Answers

Measures of the interior angles will be found as below.

What are Interior Angles and Exterior Angles of a Triangle?

Interior angles of a triangle is the three angles formed inside the triangle by its sides.

Exterior angles of a triangle is the three angles formed by extending the sides

Given that triangle has an exterior angle with a measure of 120°.

Let a, b and c be the interior angles of the given triangle.

The sum of the exterior angle and the corresponding interior angle is 180°.

Let a be the corresponding interior angle.

a + 120 = 180

a = 180 - 120

a = 60°

One of the interior angles is 60°.

Sum of the interior angles of a triangle is 180°.

Then a + b + c = 180

b + c = 120

If the triangle is equilateral, then all the angles will be 60°.

If it is right angle, angles will be 30° and 60°.

Hence the interior angles can be found as above.

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If the exterior angle is 120 degrees, you subtract 120 degrees from 360 degrees (the two angles form a circle) and get 240 degrees.
This is not a possible angle for a triangle because the angles in a triangle always add up to 180 degrees. Also, angles in triangles can’t be more than 180 degrees