Step-by-step explanation:
10-5y=3x
1. add 10 to both sides
-5y=3x+10
2. divide everything by -5
y=-3/5x-2
3. your point would start at -2 on the y axis and you would go down 3 and over 5 to get to the next point
-2/3x + 2.8 = -8.2 what is x
Add 2.8 on both side of the equation
-2/3x=-11
Divide both side by -2/3
x=33/2
Check: -2/3(33/2)+ 2.8 = -8.2
-11+2.8=-8.2
-8.2=-8.2
Answer is x=33/2
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = 
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = x 
x 
= 
x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
Answer:Tara will need to buy more 8 2/3 pint of green paint.
Step-by-step explanation:
Total amount of green paint Tara has =24 pints
Amount used to to paint a landscape =1/4 x 24= 6
Amount used To painting a clover.= 5/8 x 24= 15
Amount of paint remaining = Total paint - Amount used up in painting landscape and clover
= 24 - ( 15+ 6)
24-21
=3 pints left
Since she needs 11 2/3 pints of green paints , she will need
11 2/3 - 3 = 8 2/3 .
Therefore she will need to buy more 8 2/3 pint of green paint.
Answer:
400 cupcakes
Step-by-step explanation:
So, 340 is 85%. 15% is chocolate.
340/x = 85/100
34000=85x
x=400
Total = 400 cupcakes.
Hope this helps!
