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3 years ago

HELP GIVING FREE POINTS PLUS BRAINLIEST FOR CORRECT ANSWERS!!!

Mathematics

1 answer:

Yuki888 [10]3 years ago

4 0

Rule: lines that are parallel have equal gradients.

Therefore y=-4/3x + b.

To find b, you must sub the point (6,2) into the equation y=-4/3x + b.

2= -4/3 x 6 + b
b=-10 (using algebra to solve)

Therefore y=-4/3x - 10.

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One watering system needs about three times as long to complete a job as another warning system when both systems operate at the

algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = $3x$

Rate to complete the job by another watering system = $\frac{1}{x}\ job/min$

Rate to complete the job by One watering system = $\frac{1}{3x}\ job/min$

Rate at which both can complete the job = $\frac{1}{9}\ job/min$

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

$\frac{1}{x}+\frac{1}{3x}=\frac19$

Now taking LCM to make the denominator common we get;

$\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}$

By Cross multiplication we get;

$4\times9 =3x\\\\3x =36$

Dividing both side by 3 we get;

$\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min$

Time required by One watering system = $3x =3\times 12 =36\ min$

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

6 0

3 years ago

What is x- 2 1/2 = 6 3/4. pls help

MAXImum [283]

X= 9 1/4 or 9.25 in decimal form

8 0

2 years ago

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Use the substitution method to solve.<br><br> y=5−3x<br> 5x−4y=−3

Vadim26 [7]

Well just substitute y (the first equation) into the second equation.
So
5x-4(5-3x)=-3
Then just solve the equation from there.
5x-20+12x=-3
17x=17
x=1
and if you need y, y=2

6 0

3 years ago

from his house Mike rides his bike 2 miles west and 10 miles north to the gym how much shorter is it to the gym if he rode in a

Dmitry [639]

Using the rectangular route Mike rides 12 miles. If he rides diagonally the distance is √2²+10²=√4+100=√104.
The difference between the two routes is 12-√104=1.80 miles approximately.

4 0

3 years ago

True or false: the Pythagorean theorem can be applied to every triangle

Mnenie [13.5K]

Answer:

False

Step-by-step explanation:

The Pythagorean theorem can only be applied to right triangles.

4 0

3 years ago

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