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Veseljchak [2.6K]
3 years ago
6

A bag contains purple marbles and green marbles 105 in total. the number of purple marbles and 9 less than 5 times the number of

green marbles. how many purple marbles are there?
Mathematics
1 answer:
yulyashka [42]3 years ago
8 0
56 purple marbles is the answer


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N a soccer game, Sally kicks the ball to a teammate who is on the other side of the field. The ball's height h (in feet above th
tresset_1 [31]

Answer:

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

h(t) = -2t^{2} + 10t

What is the height of the ball at the time it is kicked?

The ball is kicked at t = 0.

So we have to find h(0)

h(0) = -2*0^{2} + 10*0 = 0

At the time that it is kicked, the ball is on the ground, that is, it's height is 0 feet.

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4 years ago
The graph of the equation h=-at^2+bt+c, which describes how the height, h, of a hit baseball changes over time, t, is shown belo
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Step-by-step explanation:

Quadrants I, II, and III.

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3 years ago
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Sindrei [870]
8 hot dogs would cost 8.96 6.72/6=1.12
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6 0
3 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex
noname [10]

L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)

L_x=10+10\lambda x=0\implies1+\lambda x=0

L_y=10+10\lambda y=0\implies1+\lambda y=0

L_z=2+4\lambda z=0\implies1+2\lambda z=0

L_\lambda=5x^2+5y^2+2z^2-42=0

\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z

5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1

z^2=1\implies z=\pm1\implies x=y=\pm2

There are two critical points, at which we have

f\left(2,2,1\right)=42\text{ (a maximum value)}

f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}

3 0
4 years ago
Cassie cleans 3 houses for $135.00. When she cleans 5 houses, she makes $225.00.. If Cassie cleans houses at a constant rate, fi
sertanlavr [38]

Answer:

45$ per house cleaned

Step-by-step explanation:

135$ / 3 houses = 45

225$/ 5 houses = 45

4 0
3 years ago
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