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OverLord2011 [107]
2 years ago
14

Pratap Puri rowed 14 miles down a river in 2 ​hours, but the return trip took him 3 and one half hours. Find the rate Pratap can

row in still water and find the rate of the current. Let x equals rate Pratap can row in still water and y equals rate of the current. What is the rate that Pratap rows in still​ water?
Mathematics
1 answer:
SOVA2 [1]2 years ago
7 0

speed of current is 1.5 mi/hr

Answer:

let the rate in still water be x and rate of the current be y.

speed down the river is:

speed=distance/time

speed=14/2=7 mi/h

speed up the river is:

speed=(14)/(3.5)=4 mi/hr

thus total speed downstream and upstream will be:

x+y=7...i

x-y=4.......ii

adding the above equations i and ii we get:

2x=11

x=5.5 mi/hr

thus

y=5-5.5=1.5 mi/r

thus the speed in still waters is 5.5 mi/hr

speed of current is 1.5 mi/hr

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olchik [2.2K]

Answer:

a = 15

Step-by-step explanation:

6 + 9 = 15

a = 15

15 - 6 = 9

yes

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2 years ago
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At most, how many unique roots will a third-degree polynomial function have?
beks73 [17]

The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.

In fact, if you use complex number, then a polynomial with degree n has exactly n roots.

So, in particular, a third-degree polynomial can have at most 3 roots.

In fact, in general, if the polynomial p(x) has solutions x_1,\ x_2,\ldots x_n, then you can factor it as

p(x) = (x-x_1)(x-x_2)\ldots (x-x_n)

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

p(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)

But this is a fourth-degree polynomial.

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3 years ago
2. In a relationship between variables, what is the variable called that changes in response to
valkas [14]

Answer:

A dependent variable

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is a variable whose value will change depending on the value of another variable, called the independent variable. Dependent variables are also known as outcome variables, left-hand-side variables, or response variables.

4 0
2 years ago
Amanda plans to have 20 friends over to Watch NCAA Basketball on Saturday. She plans to serve pizza, wings, soda, and brownies.
poizon [28]
<h2><u>In total, she will need $98.34 to pay all of the foods she plans to serve at the party.</u></h2>

All of the work:

<em>How to solve the amount of pizza she needs:</em>

20 x 3 = 60

60 divided by 10 = 6

<em>How to solve the amount of soda bottled needed:</em>

20 x 16 = 320

320 divided by 64 = 5

<em>How to solve the number of pans she needs:</em>

20(2 x 3) = 40 x 60

40 x 60 divided by 8 x 12 = 5

<h2>THE COST CAN BE FOUND BY MULTIPLYING THE NUMBER OF THE ITEM NEEDED AND THE PRICE FOR EACH OF THE ITEM.</h2>

<em>Number of pizza she needs:6 pizza, costs $77.94</em>

<em>Number of soda bottles she needs:5 bottles, costs $8.45</em>

<em>Number of pans she needs:5 pans, costs $11.95</em>

<em>Add 77.94, 8.45, and 11.95 and get 98.34</em>

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3 years ago
which ordered pair isa solution of the equation y=8x+3 A.Only (1,11) B.Only (-1,-5) C.Only (1,11) and (-1,-5) D Neither
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Answer:

C (1,11) and (-1,-5)

Step-by-step explanation:

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