1.4 divided by 0.7 in a model

Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e

worty [1.4K]

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

3 0

3 years ago

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

kupik [55]

Answer:

$(a)\ T_{a,b} =(x +a,y+b)$

$(b)\ F_{y\ axis} = (-x,y)$

$(c)\ F_{x\ axis} = (x,-y)$

$(d)\ R_{o,90^o} = (-y,x)$

$(e)\ R_{o,180^o} = (-x,-y)$

$(f)\ R_{o,270^o} = (y,-x)$

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

$T_{a,b} =(x +a,y+b)$

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

$F_{y\ axis} = (-x,y)$

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

$F_{x\ axis} = (x,-y)$

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

$R_{o,90^o} = (-y,x)$

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

$R_{o,180^o} = (-x,-y)$

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

$R_{o,270^o} = (y,-x)$

6 0

3 years ago

Shirley has a circular rug in her dining room that has an area of 36 pie Square meters what is the radius of the circular rug

ValentinkaMS [17]

Answer: The radius of the circular rug is 6 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

<em>Area of a circle (A) = pi r² </em>

Where r is the radius:

Replacing with the values given:

36 pi=pi r²

Dividing both sides by pi:

36 = r²

√36= r

r = 6 meters

So, the radius of the circular rug is 6 meters.

Feel free to ask for more if needed or if you did not understand something.

8 0

2 years ago

Read 2 more answers

Tell whether the angle on the circle is 1/4,1/2,3/4 or i full turn clockwise ir counterclockwise

Komok [63]

Their is no circle.........

6 0

3 years ago

Answer this simple quick question!! Pls :)

Alex_Xolod [135]

Answer:

If it is that simple then do it yourself LOL

Step-by-step explanation:

6 0

2 years ago