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SIZIF [17.4K]
3 years ago
9

Please help! Quick!

Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
5z+7=32
5z+7-7=32-7
5z/5=25/5
z=5
morpeh [17]3 years ago
6 0
5z + 7 = 32

1) You have to try to get z by itself, so that means isolating 7 and 5.

5z + 7 = 32
5z - 7   -  7
----------------
5z       = 25

2) Whatever you do to one side, you do to the other. So you subtracted 7 to 7 to isolate 7, and you would subtract 7 to 32 as well. And that will leave you with  5z = 25.

3) Whenever there are a number and a variable next to it, it symbolizes multiplication. (5 x z = 5z) So in order to isolate 5z without taking away your variable, you would have to divide 5 from 5, and also 25.

5z          = 25
__            ___
5                 5
____________
z            =  5

____________________________________________________________
So, the steps are to write the equation out.
Combine any like terms, if there is any. (Ex.  5x + 3 + 52x + 39 {you can combine 5x and 52x because they are like terms, meaning they are alike. Other words are simplifying. (57x) :)}[and you can combine 3 and 39 since they are alike too. (42)])
Then, you add/subtract ON BOTH SIDES!
And after that, you finish it off by multiplying/dividing ON BOTH SIDES.

And how you know if you subtract or add is that if it is positive or negative.
Ex. +5 ( you would subtract in order to get it to zero. So -5)
Ex. -5 ( you would add in order to get is to zero. so +5)

And how you know it's multiplication or division.
Ex. 5x (5 * x = 5x, so you would divide by 5 to get zero, and divide 5 ON BOTH SIDES)
Ex.  \frac{x}{5} [/tex] ( you would have to multiply 5 from top and bottom and ON BOTH SIDES)

I hoped this help with the question, and any other questions your confused about :)
     
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Snezhnost [94]

Answer:

8) x=6.93 y=3.46

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4 0
3 years ago
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9
Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{8}{2}

∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

6 0
3 years ago
Find the slope of the line through the points (1,−8) and (−9,−10). Provide your answer as a fraction simplified in lowest terms.
Vlad [161]

Answer:

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Step-by-step explanation:

-8-(-10) 2 1

---------- = ------ = --------

1-(-9) 10 5

4 0
3 years ago
Read 2 more answers
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juin [17]
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Remember that percent means out of 100. 1.5% means 1.5/100 = .015

To find 1.5% of 125 we multiply (.015)(125) = 1.875 But as this is money the interest is rounded to two decimal places and so is $1.88

We add this to 125 to get next month’s balance which is 125 + 1.88 = $126.88
3 0
4 years ago
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vlada-n [284]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To solve this, we will be doing a semi-alternate route, but it will get us to our answer...


400 / 100 = 4

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60 * 60 * 7.5 = 27,000 meters per hour

<em></em><em>Lets plug it into our meters to miles formula...</em>

27,000 / 1,609.344 ~ 16.777 miles per hour


So...

The answer is:  The Polar Express was going 27,000 meters per hour (or roughly close to 16.777 miles per hour)...

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