Answer:
Step-by-step explanation:
4x+2/3=31/2
move constant to the right
4x=31/2-2/3
subtract the fractions
4x=89/6
divide both sides by 4
x=89/24
x=3.708
Answer:
NO
Step-by-step explanation:
To find if they are equivalent, we need to simplify them first.
Using the distributive property we get:
6(4x-5) = 24x - 30
In this case we need to combine like terms.
3 + 22x - 33 - 2x = 20x - 30
So now we can compare.
24x - 30 ≠ 20x - 30
So we can conclude that the two expressions are not equal because 24x - 30 and 20x - 30 are obviously not equal.
Hi there!
The total surface area (tsa) of a cone can be calculated with this formula :
TSA = (
× r × slant height) +
× r²
The "r" stands for "radius". The radius is equal to half the diameter, so in order to be able to use the formula, you'll need to divide the diameter by 2 to find the radius :
5 ÷ 2 = 2.5 = radius
Since the slang height is in meters, you'll need to transform it into centimeters in order to have both values in centimeters. To do so you'll need to use the cross product method :
1 m = 100 cm
4 m = x cm
(100 × 4) ÷ 1 = x cm
400 ÷ 1 = x cm
400 = x cm → The slant height is 400cm.
Now replace all the information in the formula and calculate everything :
TSA = (
× 2.5 × 400) + (
× 2.5²)
TSA = (
× 1,000) + (
× 6.25)
TSA ≅ 3,141.59 + 19.63
TSA ≅ 3,161.22 cm²
There you go! I really hope this helped, if there's anything just let me know! :)
5x-y
=5(3)-1
=15-1
=14
Therefore, the answer is 14.
16 3/4 + 12 3/4 =
3/4 + 3/4 = 6/4 =1 2/4 = 1 1/2
16 +12 = 28
28 + 1 1/2 = 29 1/2 hours