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MrMuchimi
3 years ago
8

Please show the steps I need this right now I’m taking a test8(x−4)<7x−3

Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:

x < 29

Step-by-step explanation:

8(x−4)<7x−3; distribute 8 in the parenthesis

8x - 32 < 7x - 3; subtract 7x from both sides

x - 32 < -3; add 32 to both sides

x < 29

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Express the measurement 4.29478416 kg with 8, 6, 4, and 2 significant figures
ira [324]

Significant figures refers to digits within a number which must be included in other depict correct quantity of the figure.

  • 4.29478416 = 4.2947842 ( 8 significant figures)
  • 4.29478416 = 4.29478 (6 significant figures)
  • 4.29478416 = 4.295 ( 4 significant figures)
  • 4.29478416 = 4.3 (2 significant figures)

To round a number to a certain number of significant figures,

  • Only leading 0 which comes before the decimal Point are regarded as insignificant.
  • Once the number of significant figures have been identified, the next number after this is either rounded up to 1 and added to the last value(if number is ≥5) or rounded to 0 (if number is less than 5)

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3 0
2 years ago
Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree which was in the middle of the p
padilas [110]

Answer: 10.2\ yards

Step-by-step explanation:

<h3> "Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree, which was in the middle of the park, at the origin. She plotted a maple tree, which was 10 yards away from the oak tree, at the point (10,0) . Then she plotted a pine tree at the point (-2.4, 5) and an apple tree at the point (7.8, 5) What is the distance, in yards, between the pine tree and the apple tree in the</h3><h3>park?"</h3>

For this exercise you need to use the following formula, which can be used for calculate the distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this case, you need to find distance, in yards, between the pine tree and the apple tree in the park.

You know that pine tree is located at the point (-2.4, 5) and the apple tree is located at the point (7.8, 5).

So, you can say that:

x_2=-2.4\\x_1=7.8\\\\y_2=5\\y_1=5

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the distance, in yards, between the pine tree and the apple tree in the park.

This is:

d=\sqrt{(-2.4-7.8)^2+(5-5)^2}=10.2\ yards

8 0
3 years ago
Decide if the situation involves a permutation... anyone?
ehidna [41]

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

4!=4\cdot3\cdot2\cdot1=24

possible ways to do it.

4 0
3 years ago
The table gives the scores of 6 students from a class of 25 in a competitive exam. the point estimate of the mean score for the
Ymorist [56]

The mean of the scores if 6 students in a competitive exam is 25 marks.

Given scores of 6 students are: 10,30,50,40,20 in a competitive exam.

We have to find out the mean of the mark of 6 students in a competitive exam.

Mean is the sum of all the values in a set of data, such as numbers, measurements, divided by the number of values. It is also known as average.

Mean=∑X/n

∑X=10+30+50+40+20

=150

N=6

Now to calculate the mean we have to divide 150 by number of students which is 6.

Mean=150/6

=25 marks.

Hence the mean of the scores of 6  students is 25 marks.

Learn more about mean at brainly.com/question/1136789

#SPJ4

Question is incomplete as it should include :

Marks of students =10,30,50,40,20.

8 0
2 years ago
Question: The meaning of four consecutive even numbers is 15.
nasty-shy [4]
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
No powers in this problem statement.  Perhaps you meant a_2 or a(2)


In this problem you have four numbers.  All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers.  Here this mean is 15.  The mean is most likely positioned between b anc c.


So here's what we have:  a+b+c+d
                                         ------------- = 15
                                                 4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60.    Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18.  Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.


</span>
8 0
3 years ago
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