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kakasveta [241]
3 years ago
12

2. Its speed is 4 inches per second. How do we calculate the speed in feet

Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Answer:

Step-by-step explanation:

12 in = 1 ft

(4 in)/sec × (1 ft)/(12 in) = (4/12 ft)/sec = (⅓ ft)/sec

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Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?
snow_tiger [21]

Answer:

\displaystyle \text{d. }y=\frac{-6}{x}

Step-by-step explanation:

If two values x and y are inversely proportional, their product is <em>always</em> some maintained constant (the product of x and y is always maintained). This way, if one goes up, the other must go down by the same extent. By definition, this represents an inversely proportional relationship.

Therefore, we can simply find this constant by multiplying the given values of x and y:

xy=k,\\6\cdot (-1)=-6

The constant -6 must be maintained as the product of x and y for all values of x and y for them to be inversely proportional. Thus, we have the equation:

xy=-6

Divide both sides by x to isolate y:

\boxed{y=\frac{-6}{x}}

4 0
3 years ago
Read 2 more answers
Graph (1,-3) on a grid
k0ka [10]

Step-by-step explanation:

To plot (1,-3), start at the origin (0,0) and move right 1 unit and down 3 units.

hope it helps.

6 0
3 years ago
What is (2/3 x 3/5) - (3/4 x 1/6)
Kaylis [27]

Answer:

2/3×3/5=2/3. 3/4×1/6=1/8

2/3-1/8=11/40

8 0
3 years ago
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A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same spee
sweet [91]

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

7 0
3 years ago
What is the square of 8 step by step​
Marysya12 [62]

Step-by-step explanation:

Here is a helpful method I taught my students in my mini lesson...

For you to remember, 22= 4, and 32= 9. Hence the answer to the root of 8 lies between the numbers 2 and 3. However, since the square of 3 equals to 9 which is larger than 8, the root 8 value lies in between the number 2.8 and 2.9.

7 0
3 years ago
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