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3 years ago

Write the equation of the line through (3, −1) and parallel to 2x−y=6.

Mathematics

1 answer:

Kay [80]3 years ago

6 0

Answer:

2x - y = 7

Step-by-step explanation:

Parallel lines have the same slope and the equation will have the same form

That is

2x - y = c ← c will have different values depending on the point it passes through.

Here the line passes through (3, - 1 ) , thus substituting into the left side

2(3) - (- 1) = 6 + 1 = 7 ← value of c, hence

2x - y = 7 ← equation of line

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Williiam lost 25% of his marble,gave 1/6 of the remainder to his.Brother and had 120 marbles left.How many marbles did he have a

bija089 [108]

Answer:

Number of marbles with Williams at the starting = 192

Step-by-step explanation:

Let total number of marbles with Williams = m

He lost marbles = 25% of the total number

= $\frac{25}{100}\times m$

= $\frac{m}{4}$

Remaining marbles with Williams = m - $\frac{m}{4}$

= $\frac{3m}{4}$

He gave marbles to his brother = $\frac{1}{6}$ th of the remaining marbles

= $\frac{1}{6}\times \frac{3m}{4}$

= $\frac{m}{8}$

Remaining marbles after giving marbles to his brother = 120

Therefore, $\frac{3m}{4}-\frac{m}{8}=120$

$\frac{6m}{8}-\frac{m}{8}=120$

$\frac{5m}{8}=120$

m = $\frac{120\times 8}{5}$

m = 192

Number of marbles with Williams at the starting = 192

5 0

3 years ago

Student to faculty is 17:3 The total is 740 how many students and faculty are at the college

inn [45]

Let the faculties be X and the number of students be Y.
X/Y = 17/3
3X= 17Y
X=17Y/3
Let that be equation 1
We also know that X+Y = 740. Let it be equation 2
Substitute equation 1 in equation 2
(17Y/3)+Y= 740
20Y/3 = 740
Y=111
Since the total is 740, then X equal 740-111 =629.
The number of faculties is 111 and the number of students is 629.

7 0

3 years ago

Read 2 more answers

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monitta

Answer:

Step-by-step explanation:

7 0

3 years ago

Jonathan parents told him that for every 5 hours of homework or reading he completed

Murrr4er [49]

Finish your statement... I'm anxious to help!

4 0

3 years ago

You and a friend go to surf taco for lunch. you order 3 soft tacos and 2 burritos and your total bill is 25. Your friend bill is

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

Let the cost of one soft taco = s

Let the cost of one burrito = b

So we have this system

3s + 3b = 11.25

4s + 2b = 10.00 (1)

Divide the first equation through by 3 and we have that

s + b = 3.75 subtract b from both sides

s = 3.75 - b (2)

Sub (2) into (1) and we have

4 (3.75 - b) + 2b = 10.00 simplify

15 - 4b + 2b = 10.00

-2b + 15 =10.00 subtract 15 from both sides

-2b = - 5.00 divide both sides by -2

b = 2.50

And using (2)

s = 3.75 - 2.50 = 1.50

So... a soft taco 1.50 and a burrito is 2.50

6 0

3 years ago