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liq [111]
3 years ago
13

-7z - 7 ≤ -5z + 5 need help sloving

Mathematics
2 answers:
V125BC [204]3 years ago
7 0
-7z - 7 ≤ -5z + 5

- 7 - 5 ≤ -5z + 7z
-12 ≤ 2z
-12/2 ≤ z
-6 ≤ z or z>= -6
Lostsunrise [7]3 years ago
6 0
This is an inequality problem. The way to solve this is to treat the inequality sign (<, >, etc) like an equal sign (=). 

-7z - 7 = -5z + 5

first, you get rid of the constants (the numbers that don't have variables with them)
the way to do that is to perform reverse operations (when there is a negative, add. when positive, subtract. same for multiplying and dividing)

-7z - 7 = -5z + 5
     + 7          + 7
------------------------
      -7z = -5z + 12

the sevens are cancelled out because of the + and the - on both of them, and 5+7 is 12. 
now, for the coefficients. you do the same process.

-7z - 7 = -5z + 5
     + 7          + 7
------------------------
      -7z = -5z + 12
     +5z    +5z
-------------------------
      -2z = 12

now that you have combined all the alike terms, you divide until the variable is by itself. (/ is divide)

-7z - 7 = -5z + 5
     + 7          + 7
------------------------
      -7z = -5z + 12
     +5z    +5z
-------------------------
      -2z = 12
      /-2     /-2
-----------------------
        z = -6

twelve divided by -2 is -6. so, z = -6.
now all you have to do is switch out the inequality sign: z < -6
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Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be
Alinara [238K]

Answer:

3rd option: B(C)= 1.79C +86.03

Step-by-step explanation:

Total bill

= cost of cans(number of cans) +cost of other groceries

Let the cost of other groceries be G, and the cost of cans be X.

Given that number of cans= C,

Total bill= XC +G

If 2 cans were purchased,

2X+G= 89.61 -----(1)

If 5 cans were purchased,

5X +G= 94.98 -----(2)

(2) -(1):

(5X +G) -(2X +G)= 94.98 -89.61

5X +G -2x -G= 5.37

3X= 5.37

X= 5.37 ÷3 <em>(</em><em>÷</em><em>3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

X= 1.79

Subst. X= 1.79 into (1):

2(1.79) +G= 89.61

3.58 +G= 89.61

G= 89.61 -3.58 <em>(</em><em>-3.58</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

G= 86.03 <em>(</em><em>simplify</em><em>)</em>

Total bill

= XC +G

= 1.79C +86.03

Thus, the function is B(C)= 1.79C +86.03.

3 0
3 years ago
Find the sum or difference of (2m+7)-(3-4m)
pickupchik [31]
(2m + 7) - (3 - 4m) 

First distribute the (-) in front of the quantity of 3 - 4m. 
Think of it as this: 

-1(3 - 4m) 

You multiply each number inside the parenthesis by -1. 

So: 

3*-1 = -3
-4m * -1 = 4m

Now that you've distributed the negative you can remove the parenthesis. 
Now you'll just set it all up like you would any normal problem. Because -3 is negative you'll make it subtract.... I'll show you what I mean: 

2m + 7 - 3 +  4m 

Combine like terms (Terms which have the same variables... in this case the same number of m's)

Rearranging them can help!

4m + 2m + 7 - 3 

6m + 7 - 3

6m + 4, is our difference!
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