By solving for x you get x=6
Answer:
Step-by-step explanation:
hello :
−7x>10
multiply by : -1 : 7x < -10
x< -10/7
Answer:
The Fringe of the rug is 754 cm.
Step-by-step explanation:
Given:
radius = 120 cm
We need to find the fringe of the outside rug.
Solution:
Since the rug is in the circular form.
We can say that fringe of the outside edge of the rug can be equal to circumference of the circle.
Then we will find the Circumference of the circle.
Circumference of the circle is given 2 times 'π' times radius 'r'.
framing in equation form we get;
Circumference of the circle = 
Circumference of the circle = 
Hence the Fringe of the rug is 754 cm.
Answer:
A.) 15.60=11.40+10x
Step-by-step explanation:
okay we know kathy spent 15.60 in total at the post office
so we know 15.60 will be after the equal sign.
she paid 11.40 only on the package
and rest of money was on stamps.
15.60-11.40= 4.20
so she used 4 dollars and 20 cents for stamps if she bought 10 we need to divied 4.20/10=0.42
0.42 cents for each stamps so we need a equation that will give us this answer.
Me i go thru each one and solve for x
lucky for me i just need to solve one
because equation A solves it correctly.
15.60=11.40+10x
subtract 11.40 on both sides
15.60-11.40
4.20=10x
now we divide 10 on each side
4.20/10=0.42
x=0.42
Answer:
a. 5177 cm³
b. 3,451 cm³
c. 67%
Step-by-step explanation:
Given:
Diameter of each ball (d) = 13 cm
Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm
Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm
a. Volume of cylinder = πr²h
Plug in the values
Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³
b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)
Plug in the value
Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³
c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100
Plug in the values
= 3,451/5177 × 100
= 66.6602279
≈ 67%
