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miskamm [114]
3 years ago
13

A fishing boat is hauling up a lobster trap. A machine called a winch pulls the trap up at a constant rate of 85 feet per minute

.
Each ordered pair below represents a number of minutes elapsed, t, and a number of feet the lobster trap has traveled, d.

Which ordered pairs represent the correct relationship between distance and time? Select all that apply.
A.
(1,85)
B.
(0.85,1)
C.
(0.2,17)
D.
(3.5,297.5)
E.
(4,350)
Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Answer:

A, C, D

Step-by-step explanation:

We know that velocity is 85 feet/minute, and distance is velocity * time, so we can multiply 85 by time to see if it equals the output

(A) 1*85-85

(B) 0.85*85 = 72.75

(C) 0.2*85 = 14

(D) 3.5*85 = 297.5

(E) 4* 85 = 340

A, C, and D match up

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Answer:

\large\boxed{y\in(-6,\ \infty)}

Step-by-step explanation:

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(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4

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4 years ago
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3 years ago
lisa used 880g of a container of sugar to bake a cake and 1/10 of the creaming sugar to make cookies. She then had 3/7 of the co
guapka [62]

Answer:

At the beginning, there were 2,678.26 grams of sugar in the container.

Step-by-step explanation:

Since Lisa used 880g of a container of sugar to bake a cake and 1/10 of the creaming sugar to make cookies, and she then had 3/7 of the container of sugar left, to determine how much sugar was in the container at first, the following calculation must be performed:

880 + 1 / 10X = 3 / 7X

880 + 0.1X = 0.4285X

880 = 0.4285X - 0.1X

880 = 0.3285X

880 / 0.3285 = X

2,678.26 = X

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Now, solve with the given endpoints.

\sqrt{(x^2-x^1)^2+(y^2-y^1)^2} \\\sqrt{(-3-7)^2+(5-(-1))^2} \\\sqrt{(-10)^2 + (6)^2} \\ \sqrt{100+36}\\\sqrt{136}

_______

Now, simplify using what we know about radicals.

Solution in picture.

_______

The length between the endpoints is 2√34 (Option B)

_______

Best Regards,

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