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lisov135 [29]
3 years ago
9

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W

hat is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?
a. y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
b. y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
c. y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
d. y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
Mathematics
2 answers:
Delicious77 [7]3 years ago
7 0

Answer:

Its A

Step-by-step explanation:

VladimirAG [237]3 years ago
4 0

Answer: b. y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

time spent on  history homework: 20 minutes

time spent on each math problem: 2 minutes

math problem : x

total time spent  :y

So, we have to multiply each math problem (x) by the time spent on each math problem and add the 20 minutes spent on history homework.

The expression obtained is equal to the total time spent

Mathematically speaking:

y=2x+20

x can be any real number greater than or equal to 0, ( it would be 0 if there aren't any math problems)

and y is any real number greater than or equal to 20. ( 20 minutes is the minimum time spent if there aren't any math problems)

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How many oz of walnuts which cost $6/oz must be added to 2 oz of peanuts which cost $12/oz to make mixed nuts which cost $8/oz
Burka [1]

Answer:  4 oz

<u>Step-by-step explanation:</u>

Create a table.  Multiply across and add down (the middle column cannot be added).  The Mixture line creates the equation that must be solved.

Let x represent the unknown quantity of walnuts.

\begin{array}{c|c|c||c}&\underline{Quantity}&\underline{Cost}&\underline{Qty \times Cost}\\Walnuts&x&6&6x\\\underline{Peanuts}&\underline{\qquad 2\qquad}&\underline{\qquad 12\qquad}&\underline{\qquad 24\qquad }\\Mixture&x+2&8&6x+24\end{array}

.\qquad \qquad \qquad \qquad (x+2)(8) = 6x+24\\.\qquad \qquad \qquad \qquad 8x + 16 = 6x + 24\longrightarrow \text{distributed}\\.\qquad \qquad \qquad \qquad2x+16=24\qquad \longrightarrow \text{subtracted 6x}\\.\qquad \qquad \qquad \qquad 2x=8\qquad \qquad \ \longrightarrow \text{subtracted 16}\\.\qquad \qquad \qquad \qquad x=4\qquad \qquad \quad \longrightarrow \text{divided by 2}

4 0
3 years ago
The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan
kiruha [24]

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points (x_1, y_1) and (x_2,y_2) is,

d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Length of PQ = \sqrt{(1-1)^2+(2-6)^2}

PQ = 4

Length of PR = \sqrt{(1+4)^2+(2-2)^2}

PR = 5

Length of QR = \sqrt{(1+4)^2+(6-2)^2}

QR = \sqrt{25+16}

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     = 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

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                                                                       = 15.4 yards

4 0
4 years ago
The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway
marysya [2.9K]

Answer:

The coordinate of the rest stop is: (5,2.5)

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

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(x_2,y_2) = (7,1) --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)

This gives:

(x,y) = \frac{1}{2}(3+7,4+1)

(x,y) = \frac{1}{2}(10,5)

Open bracket

(x,y) = (5,2.5)

Solving (b): Distance between the hotel and the stadium

We have:

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

The distance (d) is:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

d = \sqrt{(3 - 7)^2 + (4 - 1)^2}

d = \sqrt{(-4)^2 + 3^2}

d = \sqrt{16 + 9}

d = \sqrt{25}

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1\ unit = 6.4\ miles

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3 0
3 years ago
ABC is an equilateral triangle .Three distinct points are marked on each sides of the triangle. (not on the vertices). (i) How m
iVinArrow [24]

The number of lines and triangles illustrates combination

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<h3>The number of lines that can be drawn</h3>

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The number of lines that can be drawn is then calculated  using the following combination formula

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<h3>The number of triangles that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each triangle, r = 3

The number of triangles that can be drawn is then calculated  using the following combination formula

Triangles = nCr

This gives

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Evaluate the combination expression

Triangles = 84

Hence, 84 triangles can be drawn using the nine points

Read more about combination at:

brainly.com/question/11732255

4 0
2 years ago
Hello! Please help me! I'm not good at subtracting fractions!
mafiozo [28]
The answer in an improper fraction is 
47/36

As a mixed number, it is 1 11/36

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3 0
3 years ago
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