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Charra [1.4K]
3 years ago
7

Determine whether the following scenario represents a direct variation and describe why or why not: It takes 4 painters 8 hours

to paint a house and 12 painters 6 hours to paint the same house.
Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0

Answer:

No

Step-by-step explanation:

It would take 1 painter 32 hours to paint a house (because 4*8=32). If we divide 32 by 12 we get 3, so no, it is not a direct variation because if it was it would only take 3 hours for the 12 painters to paint the house.

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mia wants to earn 2500 in her job at a bycicle store she is paid 55 for every bycicle she tunes up the minimum number of bycicle
Thepotemich [5.8K]
Answer: 46

Explanation: If Mia is paid $55 for every bicycle, she would need to fix up/sell 46 bicycles. This is because 45 x 55 = 2475 and Mia wants over 2500 but 46 x 55 = 2530. Therefore, 46 is the minimum number of bicycles.
5 0
3 years ago
write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9
photoshop1234 [79]

Answer:

\large\boxed{y=\dfrac{7}{2}x-18}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

3x+4x=2y-9

7x=2y-9             <em>add 9 to both sides</em>

7x+9=2y       <em>divide both sides by 2</em>

\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}

Parallel lines have the same slope. Therefore we have the equation:

y=\dfrac{7}{2}x+b

Put the coordinates of the point (4, -4) to the equation:

-4=\dfrac{7}{2}(4)+b

-4=7(2)+b

-4=14+b       <em>subtract 14 from both sides</em>

-18=b\to b=-18

Finally we have the equation:

y=\dfrac{7}{2}x-18

8 0
3 years ago
Convert the number to scientific notation<br><br> 86,002,300 = .... x 10 to what power
olya-2409 [2.1K]

Answer:

8.6002300X10^7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Kendra used these steps to solve the equation 2x + 5 = 3 + 2(x + 1). Which choice describes the meaning of her result, 5 = 5?
alekssr [168]
The answer is A.
 If a redundant conclusion is reached in basic algebra this states that the variable holds all possible real values. 
If you algebraically solve Kendra's you do achieve the true statement 5 = 5 (leaving out D). And if you test any value of x for the equation it does hold true (getting rid of B). 
Hopefully this makes sense.
6 0
3 years ago
Read 2 more answers
6÷4(7+8)= 8-6(4+9)= 4÷8(9+3)=​
Zielflug [23.3K]

Answer:

<h2>6÷4(7+8) </h2><h2>= 22,5</h2>

<h2>8-6(4+9)</h2><h2>= 26</h2>

<h2>4÷8(9+3)</h2><h2>= 6</h2>

Step-by-step explanation:

<h2>6÷4(7+8)</h2><h3>= 6÷4(15)</h3><h3>= 1,5 × 15</h3><h3>= 22,5</h3>

<h2>8-6(4+9)</h2><h3>= 8-6(13)</h3><h3>= 2 × 13</h3><h3>= 26 </h3>

<h2>4÷8(9+3)</h2><h3>= 4÷8(12)</h3><h3>= 0,5 × 12</h3><h3>= 6</h3>

7 0
2 years ago
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