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Arlecino [84]
3 years ago
15

What is the first step when solving this equation for t?

Mathematics
2 answers:
Bogdan [553]3 years ago
7 0

Answer:

D. subtract 31 from both sides

you cant combine cuz theyre not like terms and you have to undo the constant number before you undo the second term in the equation so you will end up needing to do letter choice D first.

Step-by-step explanation:

hope this helped a little bit :)

Gala2k [10]3 years ago
3 0
<h3>Answer: D. subtract 31 from both sides</h3>

======================================================

Explanation:

The expression 31-12t is the same as 31+(-12t). Adding a negative is the same as subtracting a positive.

Then we can flip the two terms getting -12t+31. This is because we can add two numbers in any order.

So we're effectively solving -12t+31 = 211

The first step is to subtract 31 from both sides to undo the +31. We follow PEMDAS in reverse to isolate the variable.

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Help please with algebra problem
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Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44

Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72

Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243

Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400


Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
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