How do you write nine and two hundred thirty five thousandths?

Rational expressions? 5+2/p=17/p (/ means a fraction symbol)

Lapatulllka [165]

$5+\frac{2}{p}=\frac{17}{p};\ p\neq0\\\\\frac{5p}{p}+\frac{2}{p}=\frac{17}{p}\\\\\frac{5p+2}{p}=\frac{17}{p}\iff5p+2=17\\\\5p=17-2\\\\5p=15\ /:5\\\\p=3$

5 0

3 years ago

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A city planner designs a park that is a quadrilateral with vertices at J(-3,1), K(1,3), L(5,-1), and M(-1,-3). There is an entra

Ksivusya [100]

The Quadrilateral is JKLM,

let $M_{JK}, M_{KL}, M_{LM}, M_{JM},$ be the midpoints of JK, KL, LM and JM respectively.

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Given any 2 point P(m,n) and Q(k,l),

the coordinates of the midpoint of the line segment PQ are given by the formula:

$M_{PQ}=( \frac{m+k}{2} ,
\frac{n+l}{2})$ ,

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thus the coordinates of points $M_{JK}, M_{KL}, M_{LM}, M_{JM},$

are as follows:

$M_{JK}= (\frac{-3+1}{2}, \frac{1+3}{2})=(-1,2), \\\\M_{KL}= (\frac{1+5}{2}, \frac{3-1}{2}=(3,1), \\\\M_{LM}= (\frac{5-1}{2}, \frac{-1-3}{2})=(2, -2),\\\\ M_{JM}= (\frac{-3-1}{2}, \frac{1-3}{2})=(-2,-1)$

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The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

$|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}
}$

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thus the distances connecting the opposite entrances can be calculated as follows:

$|M_{JK},M_{LM}|= \sqrt{ (-1-2)^{2} + (2-(-2))^{2} }= \sqrt{9+16}=5$

$|M_{KL}M_{JM}|= \sqrt{ (3-(-2))^{2} + (1-(-1))^{2}}= \sqrt{25+4}= \sqrt{29}=5.39$

Thus the total distance of the paths joining the opposite entrances is

5+5.39 units = 50 m + 53.9 m = 104 m (rounded to the nearest meter)

Answer: 104 m

8 0

3 years ago

What are the solutions to the equation?

olga2289 [7]

Answer:

x = −10 and x = 4

Step-by-step explanation:

x2 + 6x = 40

Subtract 40 from each side

x^2 + 6x -40 =0

Factor, what 2 numbers multiply to -40 and add to 6

10 * -4 = -40 10+-4 = 6

(x+10) (x-4) = 0

Using the zero product property

x+10 =0 x-4=0

x=-10 x=4

6 0

3 years ago

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A triangle has a perimeter of

lapo4ka [179]

Answer:

The smallest side is 7inches

Step-by-step explanation:

Let the shorter side be y.

The medium side is 4 more than the short side i.e

Meduim side = 4 + y

The longest side is 5 times the length of the shortest side i.e

Logest side = 5y.

Perimeter of the triangle = 53 inches

But the perimeter of a triangle is the Sum of all sides i.e

P = small + medium + large

53 = y + (4+y) + 5y

53 = y + 4 + y + 5y

Collect like terms

53 — 4 = 7y

49 = 7y

Divide both side by 7

y = 49/7

y = 7inches

Therefore the smallest side is 7inches

8 0

3 years ago

Julio and his sister bought 8 books and m magazines for $1 each, and then they split the cost. The amount of money that Julio sp

Ivahew [28]

Answer: No. both are independent quantity. Therefore, the number of books purchased does not affect the value of m.

Step-by-step explanation:

Given: Julio and his sister bought 8 books and m magazines for $1 each.

The amount of money that Julio spent is represented by the expression 1/2(m+8)

Thus, the amount she and her sister will pay is dependent on the number of books and the number of magazines, but the number of magazines and the number books are independent quantity.

Therefore, the number of books purchased does not affect the value of m.

3 0

3 years ago