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Lisa [10]
3 years ago
13

Can someone please help me solve this?

Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0
A. This is the original equation: 2x + 3 - 1 = x + 5

b. 2x + 2 = x + 5 ← combined like terms on left side 
    2x + 2 - 2 = x + 5 - 2 ← used inverse operation to collect constants on right side
    2x = x + 3 ←simplified each side
    2x - x = x - x + 3 ←used inverse operation to collect variable terms on left side
    x = 3 ← simplified each side 
answer x = 3

c. 2(3) + 3 - 1 = 3 + 5
     6 + 3 - 1 = 8
       9  - 1 = 8
        8 = 8 
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Countering a cost $9.40 per sales tax. After sales tax, it cost $9.87. What is the sales tax rate?
Nady [450]
STEP 1:
find the sales tax (decimal form)

x= sales tax

Cost + (Cost * Sales Tax)= Total
plug in known numbers

$9.40 + ($9.40 * x)= $9.87

9.40 + 9.40x= 9.87
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divide both sides by 9.40

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STEP 2:
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= 0.05 * 100
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ANSWER: The sales tax is 5% (or 0.05 in decimal form)

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6 0
3 years ago
Read 2 more answers
A circuit has a current of 1.2 a. if the voltage decreases to one-third of its original amount while the resistance remains cons
Alexeev081 [22]

Given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A

<h3>What is Ohm's Law?</h3>

Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.

It is expressed as;

V = IR

Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.

Given that;

Initially, A circuit has a current I = 1.2A

V = IR

R = V/I

R = V/1.2A ...... let this be equation 1

Next, voltage decreases to one-third of its original amount while the resistance remains constant.

Meaning Voltage = 1/3 of V = V/3

Hence;

V = IR

V/3 = IR

From equation 1 ( R = V/1.2A )

V/3 = I × V/1.2A

V/3 = IV/1.2A

We cross multiply

V1.2A = 3IV

I = V1.2A / 3V

I = 1.2A / 3

I = 0.4A

Therefore, given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A

Learn more about potential difference here: brainly.com/question/2364325

#SPJ4

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2 years ago
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So to solve this question, your goal is to find out how the way it is solved is not correct.

Your answer would be: On the third line, the student adds the 8 to both sides instead of subtracting. The way the initial equation is given is

y-(-8)=-6(x-2). After distributing the six, the student should make the 8 positive because subtracting a negative makes a positive. After solving, the equation should look like: y(+8)=-6x+12, so you would subtract the 8 from both sides instead of adding it, and solve from there.

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3 years ago
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Greeley [361]

Answer:

(0,-3)

(1,1)

(2,5)

Step-by-step explanation:

They're all correct. it doesn't matter which one you choose.

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