Answer:
D
Step-by-step explanation:
Although I,m not completely sure, I do know that a cone and cylinder will not have the same volume if the base is the same. To back that up a cone is 1/3 of a cylinder of the same diameter.
Given : Two inequality is given to us . The inequality is v + 8 ≤ -4 and v - 6 ≥ 10 .
To Find : To write those two inequality as a compound inequality with integers .
Solution: First inequality given to us is v + 8 ≤ -4 . So let's simplify it ;
⇒ v + 8 ≤ -4 .
⇒ v ≤ -4 - 8.
⇒ v ≤ -12 .
Now , on simplifying the second inequality ,
⇒ v - 6 ≥ 10 .
⇒ v ≥ 10 + 6.
⇒ v ≥ 16 .
Hence the required answer will be :
First one implies that v is less than or equal to -12 whereas the second one implies that v is greater than or equal to 16 .
Answer:
Yes, Amanda has enough materials to make the concrete mix.
Step-by-step explanation:
Total units = 1+3+5
= 9
9 units = 630kg
1 unit = 630kg ÷ 9
= 70kg (Less than 80kg of cement, more than enough)
3 units = 3 × 70kg
= 210kg (Less than 215kg of sand, more than enough sand)
5 units = 5 × 70kg
= 350kg (Less than 370kg of gravel, more than enough gravel)
Answer:
Step-by-step explanation:
You would never buy a 10-pack, because two 5-packs cost less.
To buy 3 bars you need a single bar and a pair of single bars for £0.82 + £0.82+ £0.41 = £2.05
To buy 30 bars you need 3 pairs of 5-bar packs = 3×£5.75 = £17.25
To buy the remaining 5 bars you need one 5-bar pack = £3
cost = £2.05 + £17.25 + £3 = £22.30
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
