Answer:
The equations represent circles that result in the same graph.
Step-by-step explanation:
we have
Divide by -10 both sides
-----> equation A
This is the equation of a circle centered at origin with radius 
and
Divide by 5 both sides
-----> equation B
This is the equation of a circle centered at origin with radius
equation A and equation B are equal
therefore
The system has infinite solutions, because the equations represent circles that result in the same graph.
Answer:
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50
Step-by-step explanation:
Let
x-----> the cost of the ice cream cone
y----> the cost of the ice cream basket
z---> the cost of the donut
we know that
2x+y=12.75 ------> y=12.75-2x ------> equation A
x+2z=7.50 ------> z=(7.50-x)/2 -----> equation B
x+y+z=9.75 ----> equation C
substitute equation A and equation B in equation C and solve for x
x+(12.75-2x)+((7.50-x)/2)=9.75
Multiply by 2 both sides
2x+25.50-4x+7.50-x=19.50
3x=25.50+7.5-19.50
3x=13.5
x=$4.50
Find the value of y
y=12.75-2(4.50)=$3.75
Find the value of z
z=(7.50-4.50)/2=$1.50
therefore
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50
Answer: 6x + $2= $21.50
Step-by-step explanation:
To make an equation first we are going to give the cost of each taco the variable x since we don't know what it is. Then we will combine 6 multiplied by x to get 6x and add it to $2 to get $21.50 so the equation will be 6x + $2= $21.50. First we subtract 2 from both sides of the equation which makes the equation become 6x= $19.50. Then we divide both sides of the equation by 6 and get x=$3.25. This means that each taco cost $3.25.
To do this you need 94 inches of braid.
94 inches = ? yards
1 inch = 0.0277778 yard
94 × 0.0277778 = <span>2.6111132.
Since you can only pay for a full yard you would buy 3 yards which would cost:-
$0.60 </span>× 3 = $1.80.
So for this you would need 3 yards which would cost $1.80.
Hope I helped:P
<span>1). 16 x 3/4
Step One- 16/1 x 3/4
Step two- 4 goes into 16 four times so cancel the 4 and change the 16 to a 4...
Step three- 4 x 3=12
2). (81/16) divided by (9/14)
Step one- Since its division we use (FREEZE CLAP FLIP)= Freeze (81/16) Clap the division sign and change it to a multiply sign and Flip the riprocals (9/14)
The equation is now 81/16 X 14/9
Next 81 is divisible by 9 and 16 and 14 are divisible by 2
So the new formula i s 9/8 X 7/1
Solution=63/8
3). 2/3 divided by 4/3
Flip the reciprocals for the 4/3
New equation is 2/3 X 3/4
2 and 4 are divisible by 2 and the 3's cancel each other out
Solution: 1/2</span>
