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Ugo [173]
2 years ago
6

Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.

Mathematics
1 answer:
Pavel [41]2 years ago
3 0
Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6   k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
y=- \frac{3}{5}x+3 \ or \ 3x+5y=15
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image Alan, Benton, Claire, and Dita divided the cost of throwing a party as shown in the circle graph above. If Dita spent $ 12
sdas [7]

Let total amount spent =x

Dita spent 35 % of total amount.

35% of x = 0.35x

So amount spent by Dita = 0.35x

% of money spent by Benton = 20 % of x = 0.2x

We are given that Benton spent $12 more than Claire,

so making equation we have ,

Money spent by Dita = Money spent by Claire +12

0.35x =0.2x +12

0.35x -0.2x = 12

0.5x =12

x=80

So total amount spent was $80.

Money spent by Benton = 0.2x = 0.2 * 80= $16

So amount spent by Benton is $16.



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3 years ago
What is the reciprical and product of the fraction 3/7?​
pychu [463]

Answer:

7/3

Step-by-step explanation:

as it is a reciprocal you must flip the fraction so you can get your answer i hope this helped C:

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2 years ago
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tresset_1 [31]

Answer:

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Step-by-step explanation:

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40 = 2 × 2 × 2 × 5

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Which of the following equations is equivalent to 2/3x - 1/2y = 6?
Nostrana [21]

Answer:

4x - 3y = 36

Step-by-step explanation:

2/3x - 1/2y = 6

Multiply each side by 6 to get rid of the fractions

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3 years ago
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