∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
Step-by-step explanation:
6b < 42 or 4b + 12 > 8
6b < 42
= 6b/6 < 42/6
= b < 7
4b + 12 > 8
=4b - 12 + 12 < -12+8
= 4b > - 12 + 8
= 4b > -4
= 4b/4 = -4/4
b > -1
so
7 > b > -1
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Step-by-step explanation:
1)Write down the formula for finding the volume of a rectangular prism. The formula is simply V = length * width * height.
2)Find the length.
3)Find the width.
4)Find the height.
5)Multiply the length, the width, and the height.
6)State your answer in cubic units.
Answer: The tailor made 8 complete hats
Step-by-step explanation:
Amount of fabrics available to make hat = 6 2/3 yards
1 hat requires = 5/6 yards
Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat
=(6 2/3) / (5/6)
(20/3) / (5/6)
20/3 x 6/5 = cancelling out, we are left with
4x2= 8 hats
or
(20/3) / (5/6)
6.6666 /0.83333
= 8.00002= 8 hats
Answer: 3600 grams
Step-by-step explanation:
A dekagram means 10 grams.
1 kilogram = 1000 grams
Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:
= (1.8 × 1000) + (315 × 10)
= 1800 + 3150
= 4950 grams
Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:
= 4950 - 1350
= 3600 grams
