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Airida [17]
3 years ago
15

What are the solutions to 6(x - 5) = 12 and 6y - 5 = 12?

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:x=7

y=2 5/6

Step-by-step explanation:

6(x-5)=12

6x-30=12

6x=12+30

6x=42

6x/6=42/6

x=7

6y-5=12

6y=12+5

6y=17

6y/6=17/6

y=2 5/6

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Fernando loves to make music playlists. He likes to keep the same ratio of country songs to rock songs. On his summer playlist,
Ede4ka [16]

Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

\frac{c_1}{r_1} = \frac{c_2}{r_2}

Putting the values

\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6

Hence,

There are 6 rock songs on Fernando's road trip playlist.

3 0
3 years ago
What is the solution to -3/4 x + 2 ≤ -7 ?
Dvinal [7]

Answer:

x ≥ 12

Step-by-step explanation:

Step 1: subtract 2 from both sides

Now you have; -3/4 x ≤ -9

Step 2: divide both sides by -3/4

Now you have x ≥ 12

(when dividing an inequality by a negative you have to flip the sign)

Therefore the answer is x ≥ 12

6 0
3 years ago
Read 2 more answers
Which of the following sets are continuous? Please help
Alecsey [184]

Answer:

A, C and D are continuous

Step-by-step explanation:

A is a set of any number x which 30 < x <=45

B is a set that contains only 3 and 7

C is a set of any number x which 60 <= x < 100

D is a set of any number x which -infinity < x < + infinity

E is a set that contains only even whole numbers

A continuous data set is a quantitative data set representing a scale of measurement that can consist of numbers other than whole number, like decimals and fractions.

7 0
3 years ago
What is the velocity of a bird with a mass of 2 kilograms flying at 60 kg*m/s?
scoundrel [369]

Answer:

30 m/s

Step-by-step explanation:

<em>p = mv</em>

<em>momentum</em><em> </em><em>=</em><em> </em><em>mass</em><em> </em><em>×</em><em> </em><em>velocity</em>

<em>here</em><em> </em><em>the</em><em> </em><em>momentum</em><em> </em><em>is</em><em> </em><em>60kgm</em><em>/</em><em>s</em>

<em>mass</em><em> </em><em>is</em><em> </em><em>2kg</em>

<em>substitute</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equation</em>

<em>6</em><em>0</em><em> </em><em>=</em><em> </em><em>2v</em>

v= 30m/s

4 0
4 years ago
Which has the greatest mass?
puteri [66]
A is the correct answer
8 0
3 years ago
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