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Vaselesa [24]
3 years ago
11

A grandmother says her grandson is two years older years older than her ganddaughter and that together , they are at least 12 ye

ars old. How old are her grandson and granddaughter?
This is a inequality word problem
Mathematics
1 answer:
suter [353]3 years ago
5 0
 let x represent granddaughter and x +2 for grandson and together they = 12
 so then we have the equation of x+2+x = 12
 combine like terms 2x +2 =12
-2 from both sides to isolate x
2x=10  divide both sides by 2 to get x by itself 
so we get x = 5 then add 2 +5=7 
so grandson is 7 and granddaughter is 5
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ruslelena [56]
X(u, v) = (2(v - c) / (d - c) + 1)cos(pi * (u - a) / (2b - 2a))
y(u, v) = (2(v - c) / (d - c) + 1)sin(pi * (u - a) / (2b - 2a))

As v ranges from c to d, 2(v - c) / (d - c) + 1 will range from 1 to 3, which is the perfect range for the radius. As u ranges from a to b, pi * (u - a) / (2b - 2a) will range from 0 to pi/2, which is the perfect range for the angle. So, this maps the rectangle to R.
6 0
3 years ago
A corporate team-building event costs $32, plus an additional $1 per attendee. If there are 66 attendees, how much will the corp
faust18 [17]

Answer:

corporate team-building event cost will cost $98

Step-by-step explanation:

A corporate team-building event costs $32, plus an additional $1 per attendee.

Let cost be C

The expression for the above statement

C($)= 32+n(1)

Where n is the number of attendees

So a situation where there are 66 attendees, the total cost will be

C($) = 32 +66(1)

C($) = 32+66

C($)= 98

3 0
3 years ago
Find the volume of a cone with a radius of 8 cm and height 15 cm? Round to the nearest tenth. Please show work.
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4 0
3 years ago
find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).​
maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).​

To find:

The component equation of the plane.

Solution:

The equation of plane is

a(x-x_0)+b(y-y_0)+c(z-z_0)=0

Where, (x_0,y_0,z_0) is the point on the plane and \left< a,b,c\right> is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

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-2(x+10)+5y-35+z-5=0

-2x-20+5y-35+z-5=0

-2x+5y+z-60=0

-2x+5y+z=60

Therefore, the equation of the plane is -2x+5y+z=60.

4 0
3 years ago
Which statement is true for all parallelograms? (1 point)
Aloiza [94]

The opposite sides are equal in length.

Step-by-step explanation:

Opposite sides of a parallelogram must be congruent. This is a property of all parralelograms.

8 0
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