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serg [7]
3 years ago
9

1/3(z+4)-6=2/3(5-z)​

Mathematics
2 answers:
kvv77 [185]3 years ago
7 0

Answer:

z=8

Step-by-step explanation:

1/3*(z+4)-6=2/3*(5-z)

distribute 2/3 through the parenthesis

1/3z+4/3-6=10/3-2/3z

calculate the difference

1/3z-14/3=10/3-2/3z

multiply both sides of the equation by 3

z-14=10-2z

move variable to the left and change sign

z+2z=10+14

collect like terms

3z=24

divide both sides by 3

z=8

lara [203]3 years ago
5 0

Answer:

If solving for z, z=8

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Help please I need the name of the polygon and the perimeter and area of the shape of numbers 42-47
sergij07 [2.7K]

42 - 47

Polygons are

triangle, trapezoid, triangle, parallelogram, rectangle and parallelogram

The area of triangles = 1/2 * base * haight.

Area of the parallelograms = height * base.

Area of rectangle= width * length

Area of trapezoid = 1/2 * (a + b) * height where a and b are the opposite parallel sides

The perimeters = sum of the sides of the polygons.

8 0
3 years ago
How do I solve for -31 -8r = -3(5r -6)
Dennis_Churaev [7]
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
8 0
3 years ago
a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that mod
elena-14-01-66 [18.8K]

Answer:

16,000

Step-by-step explanation:

16,000 - answer

7 0
2 years ago
The diameter of fishing line varies. Fishing lines can have a diameter as small as 2 x 102 inch and as large as 6 x 10-2 inch. H
Reil [10]
Answer:
3 times

Explanation:
We know that:
small diameter = 2 * 10^-2 in
large diameter = 6 * 10^-2 in

We want to know how many times larger is the thin diameter compared to the large one.
We will do this as follows:
large diameter = k * small diameter
where k is the number of times that we want to find
6 * 10^-2 = k * 2 * 10^-2
k = (6 * 10^-2) / (2 * 10^-2)
k = 3

This means that the large diameter is 3 times the small one.

Hope this helps :)
4 0
3 years ago
Banks provide a number of services including all of the following except __________.
olchik [2.2K]

Answer:

A. Payday Lending

Explanation:

Payday Lending is common for <em>small lending companies</em> and <u>not banks</u>. They assist clients who have a <em>minimal amount of salary</em> to borrow <u>a small amount of money with a high interest.</u> The amount of money he can borrow will depend on the amount of salary he receives per month. <em>The client will not be required to give any form of collateral</em> for the borrowed money, thus, the client is said to be <em>high-risk</em>. However, he will have to return the money over a<em> short period of time</em> with an interest rate that is high. Though it is easy to get a loan with this kind of service, you have to make sure that you are employed.

<em>Banks prefer to offer loans to people who have a steady income and a certain amount of salary.  </em>

7 0
3 years ago
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