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3 years ago

11

Emily and four friends went out for pie and ice cream. The total cost of the ice cream was $5. If each person paid $8, what was

the total cost of the pie?

1 answer:

Irina-Kira [14]3 years ago

8 0

The pie it’s self is 6.75, the ice cream is 1.25 and that makes 8 dollars per person which totals up to 32

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Which types of waves are stopped by the atmosphere (ozone)??

Neko [114]

Dangerous UV waves, and long radio waves

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2 years ago

Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10

damaskus [11]

Answer:

4

Step-by-step explanation:

set

$f(x,y)=x+y\\$

constrain:

$g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10$

Partial derivatives:

$f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2$

Lagrange multiplier:

$grad(f)=a*grad(g)+b*grad(h)\\$

$\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]$

4 equations:

$1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10$

By solving:

$a=4/9\\b=-2/27\\x+y=4$

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

$x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4$

The maximum is 4

6 0

2 years ago

Please anyone help me on this...

OLga [1]

Answer:

The 2nd choice ( the one that starts with square root of 5 )

Step-by-step explanation:

I turned all of the choices into decimals so they had the same playing field then I put them from least to greatest and I got square root of five, 5/2, 2.717171717171, 2 and 3/4.

7 0

2 years ago

Read 2 more answers

A patio 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners what shape is the

Tems11 [23]

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=Simplify%5C%3Beach%5C%3Bof%5C%3Bthe%5C%3Bfollowing%5C%3Bequations%5C%3Bfor%5C%3B50%5C%3Bpoints

jekas [21]

Answer:

y= -12
x = 7
q = -1
x = 24

Step-by-step explanation:

1. ..............................................

6(y + 7) = 2(y - 3)
6y + 42 = 2y - 6
6y - 2y = -6 - 42
4y = -48
y = -12

2...............................................

3x + 2(x - 5) = 25
3x + 2x - 10 = 25
5x = 25 + 10
5x = 35
x = 7

3 . ..............................................

10q + 3q + 5 = 2(q - 3)
13q + 5 = 2q - 6
13q - 2q = -6 - 5
11q = -11
q = -1

4. ..............................................

1/3(x + 6) = 2/3(x - 9)
3*1/3(x+6) = 3*2/3(x - 9)
x + 6 = 2(x - 9)
x + 6 = 2x - 18
2x - x = 6 + 18
x = 24

3 0

2 years ago

Read 2 more answers