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Rudiy27
3 years ago
10

Jack is 2 times as old as lacy.6 years ago the sum of the age was 21.how old are they now

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

If I didn’t make a mistake it would make him 54

Hope this helps

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The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they
Jobisdone [24]
The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

P(c)=-20c^2+320c+5120 \\ \\
a=-20 \\
b=320 \\ \\
\hbox{the vertex } (h,k): \\
h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\
=-1280+2560+5120=6400

The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.
4 0
3 years ago
Read 2 more answers
Confused on the function and method for this... help me out please.
mezya [45]

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = \frac{opposite}{hypotenuse} = \frac{XY}{YZ} = \frac{7.5}{22.3} , then

∠ YZX = sin^{-1} ( \frac{7.5}{22.3} ) ≈ 19.7° ( to 3 significant figures )

8 0
2 years ago
A satellite cable company charges an installation fee of $50 plus an additional $35.95 per month for service.
wolverine [178]
My answer would be 85.95
3 0
2 years ago
Renee is sewing a quilt whose pattern contains right triangles.
Mashutka [201]

Answer:

  8 inches

Step-by-step explanation:

The area of a triangle is ...

  A = 1/2bh

Filling in the given values, we have ...

  24 = 1/2b(6)

  24/3 = b = 8 . . . . . divide by the coefficient of b

The base of each triangular quilt piece is 8 inches long.

7 0
3 years ago
The length of a rectangle is 2 times it’s width if the perimeter of the rectangle is 36 inches find it’s length and width
Tamiku [17]

P = Perimeter            

L = Length          

W = Width

Perimeter of rectangle = L + L + W + W        

or P = 2L + 2W

You know:

P = 36 inches

L = 2W          [length is(=) 2 times it's width]

W = ?

P = 2L + 2W    

Substitute/plug in what you know, plug in 2W for L since L = 2W

36 = 2(2W) + 2W         Simplify

36 = 4W + 2W

36 = 6W        Divide 6 on both sides

6 = W              Now that you know the width, you can find the length:

L = 2W

L = 2(6)

L = 12

L = 12 in

W = 6 in

PROOF

P = 2(12) + 2(6)

P = 24 + 12

P = 36

6 0
3 years ago
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