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2 years ago

A rectangular garden is 44 feet longer than it is wide. it's perimeter is 328 feet. What s this equation?

1 answer:

7 0

Suppose width is X
then length would be X+44

perimeter of rectangle = 2 (length + width)
substitute:
328 = 2 ( X+44 + X )
328 = 2 ( 2X + 44 )
328 = 4X + 88
328 - 88 = 4X
240 = 4X
240/4 = X
X = 60

substitute in the first and second line
width is X so width = 60 feet
length is X + 44 = 60 + 44 = 104 feet

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A sports camp has a total of $2,880 to purchase new equipment. They need baseballs and baseball gloves. A pack of baseballs cost

Zarrin [17]

Answer:

Step-by-step explanation:

Problem to start doing linear programming, excellent.

Number of packs of baseballs to be purchased = x

Cost of a pack of baseballs, C= 16

Number of gloves to be purchased = y

Cost of a glove, G = 48

Minimum number of items = 50 [x+y >= 50]

Maximum amount to be spent = 2880 [Cx + Gy <= 2880]

Graph drawn and attached.

Shaded area (grey) represent all feasible purchases.

Maximum number of pairs of gloves = 60 (zero balls), or

maximum number of sets of balls = 180 (no gloves)

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2 years ago

Find the third term in the expansion of (a+b)^9 in the simplest form

forsale [732]

Answer:

$The\ third\ term\ is\ \boxed{36a^7b^2}\\$

Step-by-step explanation:

$\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\$

6 0

2 years ago

How many different angles are would be formed by a transversal intersecting three parallel lines

motikmotik

Answer:

Step-by-step explanation:

There would be 4 + 4 + 4 = 12 angles formed by a transverse intersecting three parallel lines

7 0

2 years ago

21. What is the value of x if 5:(3x+2) = 7:(5x-2).<br>A. 6<br>B. 5<br>C.7.

KatRina [158]

Answer:

5/(3x+2) = 7/(5x-2)

<=>5*(5x-2) = 7*(3x+2) (x is not equal to -3/2 or 2/5)

<=> 25x -10 = 21x +14 (x is not equal to -3/2 or 2/5)

<=> 4x = 24 (x is not equal to -3/2 or 2/5)

<=> x = 6 (valid)

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2 years ago

Given f(x) = 2* and g(x) = 2x + 1 evaluate (f?g)(o) and (g?f)(2).

vredina [299]

F(x)•g(x)=
2(2x+1)=
4x+2
4(0)+2= 2

f(x)•g(x)=
2(2x+1)=
4x+2=
4(2)+2= 10

3 0

3 years ago