Step-by-step explanation:
(72)¹⁴³ ≡ x (mod 7)
Since 72 ≡ 2 (mod 7),
72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).
Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)
≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).
The answer is A.
Answer:
9 3/8 tons
Step-by-step explanation:
The product is ...
(4 3/8 containers)(2 1/7 tons/container) = (35/8)(15/7) tons = 75/8 tons
= 9 3/8 tons . . . of sugar in the shipment
Answer:
1335cm³
Step-by-step explanation:
The question above says that,Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high and we are now asked to find "How many more cubic centimeters will the new box hold than the old box?
Now we are all aware that the volume of a cube or cuboid(since its a box ) is length multipled by width multiplied by the height.
And we were given the new dimensions which are;
12.5cm wide
6.2cm deep and
30cm high
Apply this given figures in the formula above and we have:
V = 12.5 × 6.2 × 30
= 4185cm³( this is the volume of the box)
Therefore,the difference in volume between the new box and the old box is
4185 - 2850 = 1335cm³
