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Stolb23 [73]
3 years ago
8

HELP!!!!!

Mathematics
1 answer:
Elis [28]3 years ago
7 0

Line 1 and line 4 are parallel

Step-by-step explanation:

Two lines are said to be parallel if they have same slope.

In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.

Line 1:

y=\frac{1}{3}(x+6)

Applying distributive property,

y=\frac{1}{3}x+2

Line 2:

y-6 = 3x\\\rightarrow y=3x+6

Line 3:

y=-3(x-4)

Applying  distributive property,

y=-3x+12

Line 4:

3y+18=x

re-arranging,

3y=x-18\\y=\frac{1}{3}x-6

Now we have rewritten all the lines in the form y=mx+q, where m is the slope. By comparing the values of m, we see:

m_1 = \frac{1}{3}\\m_2=3\\m_3 = -3\\m_4=\frac{1}{3}

Therefore, the lines which are parallel are line 1 and line 4.

Learn more about parallel and perpendicular lines:

brainly.com/question/3414323

brainly.com/question/3569195

#LearnwithBrainly

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Mozart's Music Store rents trombones for $34 a month. Bach's Music Store rents trombones for $30 per month plus a yearly fee of
jeka94

Answer:

Step-by-step explanation:

Let M(x) be the cost of renting from Mozart's Music Store for x years, and B(x) be the cost of renting from Bach's Music Store for x years.

From the problem statement, we can come up with the following equations:

M(x) = 34(12x)

B(x) = 30(12x) + 48x

Plugging in x = 9 for each equation, we can get the answer:

M(9) = 34(12 * 9)

M(9) = 34(108)

M(9) = 3672

B(9) = 30(12 * 9) + 48(9)

B(9) = 30(108) + 432

B(9) = 3240 + 432

B(9) = 3672

From this, we can see that the value is equal for both stores.

4 0
3 years ago
the elephants water tank holds 2560 gallons of water. Afterbtwo weeks the zookeeper measures and finds that the tank has 1944bga
sesenic [268]
2560-1944= 616gallons
7 days in a week or 14 days in two weeks
616gallons / 14days = 44 gallons / 1 day
Notice in the fraction we have
(Gallons / days)
Now if you filled the take up the entire way
2560 gallons
We have gallons and the question wants the amount of days
Thus to cancel gallons we set the equation up as such
(2560 gallons) x (1 day / 44 gallons) = 58.18 days
Or 58 days
6 0
3 years ago
Read 2 more answers
A computer assembling company receives 24% of parts from supplier X, 36% of partsfrom supplier Y, and the remaining 40% of parts
Ivan

Answer:

thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)

Step-by-step explanation:

denoting A= a piece is defective , Bi = a piece is defective from the i-th supplier and Ci= choosing a piece from the the i-th supplier

then

P(A)= ∑ P(Bi)*P(C) with i from 1 to 3

P(A)= ∑ 5/100 * 24/100 + 10/100 * 36/100 + 6/100 * 40/100 = 9/125

from the theorem of Bayes

P(Cz/A)= P(Cz∩A)/P(A)

where

P(Cz/A) = probability of choosing a piece from Z , given that a defective part was obtained

P(Cz∩A)= probability of choosing a piece from Z that is defective = P(Bz) = 6/100

therefore

P(Cz/A)= P(Cz∩A)/P(A) = P(Bz)/P(A)= 6/100/(9/125) = 5/6 (83.33%)

thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)

8 0
3 years ago
Read 2 more answers
129,543 rounded to the nearest ten thousand
Ksju [112]
130,000 129,543 is rounded up because the thousands place is a 9
5 0
3 years ago
Please help me asap! Thank you!
blsea [12.9K]
......bruh okay......
3 0
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