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3 years ago

Slope (m)=3, passes through (0, - 2)

Mathematics

2 answers:

Svetradugi [14.3K]3 years ago

6 0

Answer:

aWht is this .??????????????

makvit [3.9K]3 years ago

5 0

Your answer will be Y-2= 3(x-0)

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Olve for x. Check each step or answer that is correct. 34(x + 4) = 14(x + 8) (A) Distribute 34 on the left side of the equation.

Fantom [35]

Answer:

x = -1.2

Step-by-step explanation:

Th given equation is :

34(x + 4) = 14(x + 8)

Step (A) Distribute 34 on the left side of the equation such as :

34x + 34(4) = 14(x + 8)

34x + 136 = 14(x + 8)

Step (B) Distribute 14 on the right side of the equation such as :

34x + 136 = 14x + 14(8)

34x + 136 = 14x + 112

Step (C) Subtract 14x from each side of the equation.

34x + 136 - 14x = 14x + 112 -14x

20x + 136 = 112

Step (D) Subtract 136 from each side of the equation.

20x + 136 -136 = 112 -136

20x = -24

Step (E) Divide both side by 20

$\dfrac{20x}{20}=\dfrac{-24}{20}\\\\x=-1.2$

So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.

3 0

3 years ago

A cylindrical tank has a height of 10 feet and a radius of 4 feet. Jane fills the tank with water at a rate of 8 cubic feet per

ki77a [65]

Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

We need to determine the time it will take for Jane to completely fill the tank without overflowing it.

Volume of the cylinder:

The volume of the cylinder can be determined using the formula,

$V=\pi r^2 h$

Substituting the values, we have;

$V=(3.14)(4)^2(10)$

$V=(3.14)(16)(10)$

$V=502.4$

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

$Time = \frac{Volume}{Rate \ of\ filling}$

Substituting the values, we have;

$Time = \frac{502.4}{8}$

$Time = 62.8$

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.

3 0

3 years ago

An architect plans to buy 5 stone spheres and 3 stone cylinders. For the same amount, she can buy 2 stone spheres and 6 stone c

Vedmedyk [2.9K]

The cost of each stone sphere is $ 36.81

Solution:

Given that,

An architect plans to buy 5 stone spheres and 3 stone cylinders

For the same amount, she can buy 2 stone spheres and 6 stone cylinders

Let "x" be that same amount

Let "a" be the cost of each stone sphere

Cost of each stone cylinder = $ 36.81

Therefore,

x = 5 stone spheres and 3 stone cylinders

x = 5a + 3(36.81)

Similarly,

x = 2 stone spheres and 6 stone cylinders

x = 2a + 6(36.81)

Equate both,

$5a + 3(36.81) = 2a + 6(36.81)\\\\5a + 110.43 = 2a + 220.86\\\\5a - 2a = 220.86 - 110.43\\\\3a = 110.43\\\\a = 36.81$

Thus cost of each stone sphere is $ 36.81

7 0

3 years ago

Mr. Wong bought 6 raffle tickets for $4 each. He gave each of his 3 children the same number of tickets. What was the cost of th

ddd [48]

W=cost of one ticket

6w=$4
divide 6 on both sides
w=2/3 dollars per ticket

each child will get two tickets because 6/3 is 2

2/3×2= 4/3= $1.33 per child

5 0

3 years ago

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Mr.Young has 30 times as many pencils as Jack.The whole school has 200 times as many pencils Jack.If Jack has 2 pencils,how many

Alexus [3.1K]

200x2=400
the school has 400 pencils

7 0

3 years ago

Read 2 more answers