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3 years ago

Find an equation of a line that is parallel to 2x+3y=6 and passes through the point (4, 4)

Mathematics

2 answers:

wariber [46]3 years ago

7 0

Answer:

Answer:

Step-by-step explanation:

Slope of a line 2x+3y=6 is -2/3

So line passing through (0,4) has same slope because both are parallel

From slope intercept form we have

Y-y1 =m(x-1)

Y-4= -2/3(x-0)

3Y-12 = -2x

3Y+2x = 12

Which is required equation of a line.

Step-by-step explanation:

Colt1911 [192]3 years ago

6 0

Answer:

y = -2/3x + 20/3

Step-by-step explanation:

2x + 3y = 6

3y = -2x + 6

y = -2/3x + 2

y = -2/3x + b

4 = -2/3(4) + b

4 = -8/3 + b

20/3 = b

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Find the value of -8 + 9 · 2 ÷ -3.

qaws [65]

Answer: -14

Step-by-step explanation:

You should get the right answer by following PEMDAS

6 0

3 years ago

Read 2 more answers

. A retailer sold 10 packs of pens in 3 days. There were 48 pens in each pack. He sold twice as many pens on Sunday than on Mond

Marizza181 [45]

Answer:

The number of pens sold on Monday is 107 pens

Step-by-step explanation:

total pack of pen sold by the retailer in 3 days = 10 packs

total number of pens in the 10 packs = 48 x 10 = 480 pens

let the number of pens sold on Monday = x

let the number of pens sold on Sunday = y

let the number of pens sold on Tuesday = z

He sold twice as many pens on Sunday than on Monday

y = 2x ------equation (1)

He sold 55 pens fewer on Tuesday than on Sunday

y = z + 55 ------equation (2)

total number of pens sold in the three days

y + z + x = 480 ------equation (3)

from equation (1) make x the subject of the formula

x = y/2

from equation (2) make z the subject of the formula

z = y - 55

substitute the value of x, and z into equation (3)

y + y/2 + y - 55 = 480

2y + y/2 = 480 + 55

5y/2 = 535

5y = 535 x 2

5y = 1070

y = 1070 / 5

y = 214

The number of pens sold on Monday is:

x = y / 2

x = 214 / 2

x = 107 pens

Thus, the number of pens sold on Monday is 107 pens

5 0

3 years ago

In the triangle below, what is the approximate value of x?

Allushta [10]

Answer:

apply BPT

$\frac{4}{18} = \frac{x}{22}$

solve it now

x = 88/18 approx = 4.9 inches

3 0

2 years ago

Easiest question in the world no joke this time

Volgvan

Question #25:

One way to solve this is by multiplying the number of packages per serving by the number of guests.

1/4 * 16 = 4 packages to serve 16 guests. This means he doesn't have enough.

A second way to solve this is by diving the number of packages by the number of packages it takes to make on serving.

3 1/2 ÷ 1/4 = 14 guests he can serve. This means he doesn't have enough.

Question #26:

First, find common denominators.

2/3 = 8/12

1/4 = 3/12

Second, subtract.

8/12 - 3/12 = 5/12

Therefore, the tank is 5/12 full at the end of the trip.

Question #27:

1/2 is cut off then 1/3 is cut off. This means 3/6 was cut off to bundle newspapers, then 1/6 was cut off to make parcel. In all, 4/6 was cut off the original string. Afterwards, 2/6 was left over. So, just multiply; 2 * 3 = 6.

Therefore, the original string was as a total of 6 meters.

Best of Luck!

3 0

2 years ago

Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many

olganol [36]

Answer:

the number of hours does sidney skate in all is 9.8 hours

Step-by-step explanation:

The computation of the number of hours does sidney skate in all is as follows:

= Last month + this month

$= 1 \frac{1}{10} + 8 \frac{7}{10}\\\\= \frac{11}{10} + \frac{87}{10}\\\\= \frac{98}{10}$

= 9.8 hours

Hence, the number of hours does sidney skate in all is 9.8 hours

3 0

3 years ago