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insens350 [35]
3 years ago
14

Simplify. (½) ²− 6(2−2/3)

Mathematics
1 answer:
zzz [600]3 years ago
8 0
\left(\dfrac{1}{2}\right)^2-6\cdot\left(2-\dfrac{2}{3}\right)\\\\=\dfrac{1}{4}-6\cdot2+6\cdot\dfrac{2}{3}=\dfrac{1}{4}-12+2\cdot2\\\\=\dfrac{1}{4}-12+4\\\\=\dfrac{1}{4}-8=\boxed{-7\frac{3}{4}}
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Estion
Illusion [34]

Answer:

Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

Step-by-step explanation:

be Carmen's money "c", Goran's "g" and Henry's "h"

Now, we organize the equations and we are left with:

c + g + h = 127

h = 4 * g

c = g + 7

replacing in the main one we have:

g + 7 + g + 4 * g = 127

6 * g = 127 - 7

g = 120/6

g = 20

now replacing:

h = 4 * 20 = 80

c = 20 + 7 = 27

therefore, Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

7 0
3 years ago
Segment AB has and endpoint at A (2,5) and a mod point at M (4,0), find the other endpoint (B).
steposvetlana [31]

Answer:

The other endpoint B= (6, -5)

Step-by-step explanation:

Given:

One end point A=  (2,5)

Mid point M = (4,0)

To Find:

The Other point =?

Solution:

According to midpoint formula, if (x1, y1) and (x2, y2) are two ends of a line then it’s midpoint is given by :  

M(x,y)= \frac{x1+ x2}{2} ,\frac{y1+ y2}{2}

Using the above formula

4=\frac{2+x_2}{2}..................................(1)

0=\frac{5+y_2}{2}..................................(2)

Solving equation(1)

tex]8=2+x_2[/tex]

x_2=8-2

x_2=6

Solving equation(2)

0\times 2=\frac{5+y_2}{2}

0=5+y_2

-5=y_2

Thus x_2=6 and  y_2 =-5

6 0
3 years ago
Helppppppppppppppppppppppppppppppppppppp
Natasha_Volkova [10]

Answer:

D

Step-by-step explanation:

In a triangle, the sum of three angles is 180.

Since 50+65+80= 195 does not equal to 180.

Therefore, we choose D.

6 0
3 years ago
What type of plate boundary joins mid ocean ridge segments quizzlet?
Anit [1.1K]
Mid ocean ridges are formed when two tectonic plates are drifting away from each other. This is known as a divergent or constructive plate boundary. Mid ocean ridges are formed as two oceanic plates move away from each other. The plates move as a result of convection cells in the mantle that generate convection currents. An example of a midocean ridge is the Mid Atlantic ridge where African plate drifts away from the north and south American plates. 
4 0
4 years ago
A tea vendor gives samples of tea in cone shaped cups. The cups have a diameter of 4 inches and a height of 5 inches. If there a
Neko [114]

One sample cup will hold 11.51 ounces of fluid.

Step-by-step explanation:

Diameter of cone shaped cup = 4 inches

Radius = \frac{Diameter}{2}=\frac{4}{2}=2\ inches

Height of cup = 5 inches

Volume of cone = \pi r^2 \frac{h}{3}

Putting values

Volume of cone = 3.14*(2)^2*\frac{5}{3}\\

Volume of cone = 3.14*4*\frac{5}{3}=\frac{62.8}{3}

Volume of cone = 20.93 inches cubed

Amount of fluid in one cubic inch = 0.55 ounces

Amount of fluid in 20.93 cubic inches = 0.55*20.93 = 11.51 ounces

One sample cup will hold 11.51 ounces of fluid.

5 0
4 years ago
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