What is a compatible number for 784 divided by 8?

Mathematics

1 answer:

Lilit [14]2 years ago

4 0

800 divided by 8 will be 100

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The rate of change in the temperature T of coffee at time t is proportional to the difference between the temperature M of the a

Anna11 [10]

Answer:

$T'(t)=k(M(t)-T(t))$

Step-by-step explanation:

The rate of change in the temperature T of coffee at time t is written as $T'(t)$ (remember derivatives are used to express rates of change, and in our case the rate of change of the temperature T). The difference between the temperature M of the air at time t, and the temperature T of the coffee at time t can be expressed as $M(t)-T(t)$

Saying that the rate of change in the temperature T is proportional to the difference between M and T is just a way of saying that the rate of change in the temperature T is equal to the difference between M and T, multiplied by some constant k (whose value we don't know, but still that's what it means).

Therefore we get

$T'(t)=k(M(t)-T(t))$

7 0

2 years ago

From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides u

worty [1.4K]

Answer:

$\$15.60$

Step-by-step explanation:

Mr. Rand initially starts with 18 pounds of meat. After cutting steaks weighing pound 15 ounces, 3 and 1/8 pounds, and 4 and 1/2 pounds, he will have:

$18-1.9375-3.125-4.5=8.4375$ pounds of meat left (there are 16 ounces in a pound).

Since he sells patties that measure 9 ounces, convert 8.4375 pounds to ounces:

$8.4375\text{ lbs}\cdot 16\text{ oz/lb}=135\text{ oz}$

Because each patty is 9 ounces, he can make $\frac{135}{9}=15$ patties. He sells 3 of them for $3.12, meaning the price per patty is $\frac{\$ 3.12}{3}=\$1.04$ .