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3 years ago

What is an equation of the line in slope-intercept form? m = two-sevenths and the y-intercept is (0, –12)

Mathematics

1 answer:

Verizon [17]3 years ago

7 0

Answer:

y = (2/7)x -12 (Answer Choice B)

Step-by-step explanation:

Take the given values ( m=2/7 and y-intercept (0,-12) ) and substitute them into y = mx + b:

y = (2/7)x -12

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Answer:

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Step-by-step explanation:

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3 years ago

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VLD [36.1K]

Answer:

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Step-by-step explanation:

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3 years ago

One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 812,

kobusy [5.1K]

Answer:

first number = 89
second number = 534
third number = 189

Step-by-step explanation:

Let the first number be x

Given second number is 6 times a first number.

If first number is x then second number is 6*x = 6x

Given third number is 100 more than the first number

If first number is x then third number is x+100 = x+100

Sum of these three numbers in terms of x

sum = x+ 6x+x+100 = 8x+100 __________1

Given, that sum of these numbers is 812.

equating 812 with equation 1 we have,

8x+100 = 812

=> 8x = 812- 100

=> 8x = 712

=> x = 712/8 = 89.

Therefore,

first number = x = 89

second number = 6x = 89*6= 534

third number = x+100 = 89+100 = 189

7 0

4 years ago

Sweet t bought enough bottles of sports drink to fill a big cooler for the skateboard team. It took 25.5 bottles to fill the coo

Nuetrik [128]

Answer: 45.9 L

Step-by-step explanation:

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3 years ago

Read 2 more answers

an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time

Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is $=\frac{1}{x}$

The rate of filling of inlet pipe is $=\frac{1}{x-1}$

The rate of filling of both pipes is = $\frac 1{10}$

According to the problem,

$\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}$

$\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}$ [ simplifying the fraction]

$\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}$

$\Rightarrow 10(2x-1)= x^2-x$ [ Multiplying 10(x²-x) both sides]

$\Rightarrow x^2-x= 20x-10$

$\Rightarrow x^2-x-20x+10=0$ [ simplifying ]

$\Rightarrow x^2-21x+10=0$

$\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}$ [ applying quadratic formula]

$\Rightarrow x=\frac{21\pm21.93}{2.1}$

⇒ x= 21.465, -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0

4 years ago