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andrezito [222]
4 years ago
6

Four friends are collecting canned goods for charity. Ron collects 10 more than 3 times as many cans as Jasmine. Barry collects

twice as many cans as Jasmine. Alicia collects 10 more cans than Barry. How many cans does each person collect if Jasmine and Ron collect the same amount of cans as Alicia and Barry?
Mathematics
1 answer:
Iteru [2.4K]4 years ago
6 0
Let J = # of cans jasmine collected R =# of cans Ron collected B = # of cans barry collected A = # of cans alicia collected four friends are collecting canned goods for charity. ron collects 10 more than 3 times as many cans as jasmine. barry collects twice as many cans as jasmine. alicia collects 10 more cans than barry. how many cans does each person collect if jasmine and ron collect the same number of cans as alicia and barry? R = 10 + 3*J B = 2*J A = 10 + B J + R = A + B
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The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city
Tresset [83]

The quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

\rm ax^2+bx+c=0

Where; a, b, and c are the constants.

x;   0       1         2        3          4         5

y;  2.82  3. 29  3. 46  3. 33   2. 88  2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82

From the table when the value of x = 3 the value of y is 3.33.

\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\

From the table when the value of x = 5 the value of y is 2.24.

\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143

And the value of b is;

\rm b=3a\\\\b=3(-0.14)\\\\b=0.59

Therefore,

The quadratic regression equation for this data set is;

\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\

Hence, the quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

To know more about the Quadratic equation click the link given below.

brainly.com/question/14935613

8 0
3 years ago
backyard garden rectangular in shape. determine the best length and width(in feet). how many feet of fencing would be needed? us
olga2289 [7]
L = building side
W = non-building side

P = 2W + L = 42 (note only one L because the other L is the building itself)

Solve for L:

L = 42 - 2W


Area = l*w
Area = (42-2W)W = 42W - 2W2

Let area be y, so y = -2W2 +42W

Note this is a parabola pointing down because the coefficient of the W2 is negative. That makes the vertex the maximum for which we are searching.

Vertex of this parabola is at W=-b/2a, if the quadratic is aW2 + bW + c = 0

a = -2
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W = -42/(2*-2) = -42/-4 = 10.5

W = 10.5
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3 years ago
If -11 + N = -11, then N is the
stepladder [879]

Answer:

Step-by-step explanation:

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You work for a large global management consulting company. Of the entire work force of analysts, 55% have had no experience in t
lina2011 [118]

Answer:

a) 13% probability that the first teammate you meet has entensive telecommunications experience.

b) 45% probability that the first teammate you meet has some telecommunications experience.

c) 87% probability that the first teammate you meet has no more than limited telecommunications experience.

Step-by-step explanation:

We have that:

55% have had no experience in the telecommunications industry.

32% have had limited experience

The rest is 100 - (55+32) = 100 - 87 = 13%. So 13% have had extensive experience.

a) Extensive telecommunications experience?

13% probability that the first teammate you meet has entensive telecommunications experience.

b) Some telecommunications experience?

Either limited or extensive experience

32+13 = 45%

45% probability that the first teammate you meet has some telecommunications experience.

c) No more than limited telecommunications experience?

No experience or limited experience.

So

55+32 = 87%

87% probability that the first teammate you meet has no more than limited telecommunications experience.

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