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brilliants [131]
3 years ago
12

Solve 4x - 7 = 2x + 3 Show all work

Mathematics
2 answers:
Grace [21]3 years ago
8 0

Answer:

4x-2x=3+7

2x=10

x=10÷2

x=5

bearhunter [10]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

Step 1:

4x - 7 = 2x + 3           Equation

Step 2:

2x - 7 = 3           Subtract 2x on both sides

Step 3:

2x = 10         Add 7 on both sides

Step 4:

x = 10 ÷ 2        Divide

Answer:

x = 5

Hope This Helps :)

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4 years ago
A distributor needs to blend a mix of Gualtemala Antigua coffee that normally sells for $8.50 per pound with a Rift Valley coffe
daser333 [38]

9514 1404 393

Answer:

  • x+y=70; 8.50x+12.50y=10.56(70)
  • 36 pounds Antigua
  • 34 pounds Rift

Step-by-step explanation:

At the insistence of the problem author, we will let x represent pounds of Antigua coffee and y represent pounds of Rift coffee. Then we have ...

  x + y = 70

  8.50x +12.50y = 10.56(70) . . . . . total cost of the mix

__

We like to use the variable to represent the high-cost contributor. Here, that is y, so we'll substitute for x:

  x = 70-y

  8.50(70 -y) +12.50y = 10.56(70)

__

  595 +4y = 739.2 . . . . . . . . . . . . . . simplify

  4y = 144.2 . . . . . . . . . . . subtract 595

  y = 36.05 . . . . . . . divide by 4

  x = 70 -36.05 = 33.95

About 36 pounds of Rift Valley coffee and 34 pounds of Gualtemala Antigua coffee must be mixed.

_____

<em>Additional comment</em>

By letting the variable in our equation 8.50(70 -y) +12.50y = 10.56(70) represent the high-cost coffee, we ensure that the simplified equation will have a positive coefficient for the variable. This means we don't have to mess with negative numbers, so eliminating a common source of math errors.

The problem requirement that we use x for the low-cost contributor meant we introduced an extra equation that would not have been needed.

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3 years ago
The population of New York is 1.975x10^7 people
RSB [31]

Answer:

11233000

Step-by-step explanation:

change the numbers to standard form then subtract

4 0
3 years ago
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