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lyudmila [28]
3 years ago
12

Systems of Equations:

Mathematics
1 answer:
faust18 [17]3 years ago
4 0
v_b-the\ speed\ of\ the\ boat\\v_c-the\ speed\ of\ the\ current\\\\v_b+v_c=\frac{210}{10}=21\ (mph)\\\\v_b-v_c=\frac{210}{70}=3\ (mph)\\\\  +\left\{\begin{array}{ccc}v_b+v_c=21\\v_b-v_c=3\end{array}\right\\-----------\\.\ \ \ \ \ \ 2v_b=24\ \ \ \ /:2\\.\ \ \ \ \ \ \ \ \ v_b=12\ (mph)\\\\12+v_c=21\\v_c=21-12\\v_c=9\ (mph)

Answer:\\the\ speed\ of\ the\ both\ is\ 12mph\\the\ speed\ of\ the\ current\ is\ 9mph
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Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk pr
Jobisdone [24]

Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let M(a) = 40.8-1.1\cdot a, where a is the age of the dairy cow, measured in years, and M(a) is the predicted milk production, measured in gallons per week.

Besides, we consider a_{1} and a_{2}, such that a_{1}\ne a_{2}, we define the difference between predicted milk productions (\Delta M) below:

\Delta M = -1.1\cdot (a_{2}-a_{1}) (1)

If we know that a_{1} = 5\,yr and a_{2} = 10\,yr, then the difference between predicted milk productions is:

\Delta M = -1.1\cdot (10-5)

\Delta M = -5.5\,\frac{gal}{week}

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.

6 0
2 years ago
5. Ms. Lee has 220 students in all her classes. If her classes collected 2860 pounds of food, how many meals did each student pr
jarptica [38.1K]

Answer:

Each students provides 13 pounds of meal

Step-by-step explanation:

Total students in Ms. Lee class = 220

Total pounds of food collected = 2,860

how many meals did each student provide?

Meals provided by each student = Total pounds of food collected / total number of students

= 2,860 / 220

= 13 pounds

Each students provides 13 pounds of meal

Note: 1.2 pounds of food equals one meal

1.2 pounds : 1 meal = 13 pounds : x meals

1.2/1 = 13/x

1.2 * x = 1 * 13

1.2x = 13

x = 13 / 1.2

= 10.83 meals

Approximately 11 meals to the nearest number

Note:1 kilogram is 2.2 pounds

1 kg : 2.2 pounds = x kg : 13 pounds

1/2.2 = x / 13

1 * 13 = 2.2 * x

13 = 2.2x

x = 13/2.2

= 5.91 kilogram

Approximately x = 6 kilograms

3 0
3 years ago
A FAIR CUBE USED IN A GAME HAS 1 YELLOW SIDE AND 5 GREEN SIDES.EMILY WILL WIN THE GAME IF THE CUBE LANDS ON A GREEN SIDE ON HER
krok68 [10]
I believe the answer is C
The probability that it will land on a green face is 5/6
Therefore it is not sure that she will win but most certainly she will therefore the answer is C
7 0
3 years ago
Read 2 more answers
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D) Picking up 12 kids for a party and then dropping 12 kids off at the pool

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Find the slope of the line passing through the points D(10,8) and E(-4, 4)
ludmilkaskok [199]

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Step-by-step explanation:

Slope form: y2-y1/x2-x1

4-8/-4-10 ==> -4/-14 ==> 2/7

7 0
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