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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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Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is
blsea [12.9K]

Answer:

180\ units

Step-by-step explanation:

we know that

If triangles EFG and QRS are similar

then

the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG

so

Let

x-------> the smallest side of triangle QRS

y-------> the smallest side of triangle EFG

z-------> the scale factor

we have

x=140\ units, y=56\ units

substitute the values

z=\frac{140}{56}

z=2.5

Find the length of the longest side of QRS

The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG

so

2.5*72=180\ units

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3 years ago
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Natasha_Volkova [10]
Hi,
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Step-by-step explanation:

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Indigo Depot is having a clearance sale of their fall items. A jacket that originally cost $120 before any discount is on sale f
Sauron [17]

Answer:

The final price is $66.

Step-by-step explanation:

This question can be solved by a rule of three.

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