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Paha777 [63]
3 years ago
14

What is the equation of a line that is parallel to y=2/3x+4 and passes through the point (3,7)

Mathematics
1 answer:
jeka57 [31]3 years ago
8 0

Answer:

y=2/3x+5

Step-by-step explanation:

Parallel lines share the same slope so we already know the slope: 2/3.

Now we need to find the y-intercept for the equation. To do that, replace 4 with b. We have y=2/3x+b.

To find out what b is, we need to plug in the x and y values we are given into the current equation. We get 7=2/3(3)+b.

7=2+b

5=b

Now we can put all the information we have together.

y=2/3x+5

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Solve 4(3x+3)=15x+7-3x+5
Flura [38]

Answer:

Infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

4(3x + 3) = 15x + 7 - 3x + 5

Step 2: Solve for <em>x</em>

  1. Distribute 4: 12x + 12 = 15x + 7 - 3x + 5
  2. Combine like terms: 12x + 12 = 12x + 12
  3. Subtract 12 on both sides: 12x = 12x
  4. Divide both sides by 12: x = x

Here, we can see that <em>x</em> would be infinite amount of solutions. We can plug in any number <em>x</em> and it would render the equation true.

4 0
3 years ago
Two pairs of statements about Jeff's housing expenditures are given below. How can both pairs of statements be true?
Irina18 [472]

Explanation:

Pair 1 is true if Jeff's monthly income is $600/20% = $3,000.

Pair 2 is true if Jeff's monthly income is $1200/10% = $12,000.

Both pairs can be true if Jeff's monthly income increased by a factor of 4 in the 20 years from 1990 to 2010.

Obviously, Jeff spent more on housing in 2010. (Fortunately for Jeff, that larger expenditure was a smaller fraction of his income.)

5 0
3 years ago
Please help<br><br> What is the measure of ∠c?
malfutka [58]
It’s 56 bc a straight line = 180 so 180-124=56
5 0
3 years ago
A number that can be represented as a decimal
Evgen [1.6K]
25 can be seen as .25
8 0
3 years ago
Print
vladimir1956 [14]

Answer:

Inequality: 0.08x + 2300 ≥ 2800

Liz needs to sell products of $6250 at least.

Step-by-step explanation:

Given that:

Per month salary of Liz = $2300

Commission = 8% = \frac{8}{100}} = 0.08

Amount Liz wants to earn = $2800

Let,

x be the amount of sales.

0.08x + 2300 ≥ 2800

0.08x ≥ 2800 - 2300

0.08x ≥ 500

Dividing both sides by 0.08

\frac{0.08x}{0.08}\geq \frac{500}{0.08}\\x\geq 6250

Hence,

Liz needs to sell products of $6250 at least.

5 0
2 years ago
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