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nevsk [136]
3 years ago
7

3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

3(x-1)-8=4(1+x)+5  

One solution was found :

                  x = -20

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-1)-8-(4*(1+x)+5)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((3•(x-1))-8)-(4•(x+1)+5)  = 0  

Step  2  :

Equation at the end of step  2  :

 (3 • (x - 1) -  8) -  (4x + 9)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -x - 20  =   -1 • (x + 20)  

Equation at the end of step  4  :

 -x - 20  = 0  

Step  5  :

Solving a Single Variable Equation :

5.1      Solve  :    -x-20 = 0  

Add  20  to both sides of the equation :  

                     -x = 20

Multiply both sides of the equation by (-1) :  x = -20

One solution was found :

                  x = -20

hope this is wht u wanted

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Nookie1986 [14]
I think( so correct me if i'm wrong).....Using the distance formula... D=Rate x Time, you alter it so that it equals time, since you want to find the number of weeks.
Time = Distance/ rate
SInce you start off at 2 and end up with 5, the total distance is 3 (I subtracted 5-2). And rate is already 12% (this is the iffy part, I'm not sure if you change the 12%  in anyway.... but lets move on)

SO Time= 3miles/ 12% which is 1/4 of a week, or possibly.....

Time = 3 miles/ 0.12 which would equal 25 weeks.....
Do they give you these answers?
4 0
3 years ago
Which expression shows the distance on the number line between −3 and −10 ?
Crazy boy [7]

Answer:

D. |-3 - (-10)|

Step-by-step explanation:

6 0
2 years ago
Solve the equation for y.<br> 6 = 4x + 9y
k0ka [10]
Subtract 4x from both sides
Then divide both sides by 9 to isolate y

Y=(6-4x)/9
6 0
2 years ago
Read 2 more answers
A coffee shop spends $408 for an order of 17 cases of paper cups.
solong [7]

Answer:

Option C is correct

$528 will the total cost spends by coffee shop

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 7 miles per hour, they are called unit rates.

As per the statement:

A coffee shop spends $408 for an order of 17 cases of paper cups.

Unit rate per cases = \frac{408}{17} =\$24

Now, if If the coffee shop adds 5 more cases of paper cups to the order

then,

total number of cases = 17 +5 = 22 cases

To find how much  total cost coffee shop spends.

Total cost = unit rate \times total number of cases

                 = 24 \times 22 = \$528

Therefore, total costs coffee shop spends = $528

3 0
3 years ago
Read 2 more answers
Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and t
MAXImum [283]

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

<em>~ an aesthetics lover</em>

7 0
2 years ago
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