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KIM [24]
2 years ago
6

Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10

Mathematics
2 answers:
Andrews [41]2 years ago
8 0
Step 1 is justified
natita [175]2 years ago
7 0

Answer:

Step 2

Step-by-step explanation:

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What is the distance between the points located at 7 and -1 1/2 on the number line?
Temka [501]

Answer:

8 1/2

Step-by-step explanation:

They are on opiate sids of zero so add the absolute values together to get  1/2

7 0
3 years ago
Name the marked angle in 2 different ways.
Leona [35]

Answer:

Step-by-step explanation:

<CDE or <EDC

7 0
2 years ago
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a b
Natalija [7]

Answer:

Musah's final point from the centre = 60.355 steps

Step-by-step explanation:

From the given information:

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°

The sketch for this information can be seen in the attached file below.

How far west is Musah's final point from the centre?

In order to determine how far west  is Musah's,

Let d be the distance of how far;

Then d = QR + RS cos θ

In the North West direction,

cos θ = cos 45°

d = 25 + 50( cos 45°)

d = 25 + 50( \dfrac{1}{\sqrt{2}} )

d = 25 + 50( 0.7071)

d =25 + 35.355

d = 60.355 steps

Musah's final point from the centre = 60.355 steps

5 0
3 years ago
Add the two mixed numbers 1 1/3 + 3 2/3 = ?
pychu [463]

<em><u>im not sureeeeeeeeeeeeeeeeeeeeeeeee</u></em>

8 0
2 years ago
Find the sum of the first one hundred positive integers. see fig 6.26
nignag [31]
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.

Quick note
We can use a formula to find out the sum of an arithmetic series:
s =  \frac{n(n + 1)}{2}
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
8 0
3 years ago
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