Answer:
Step-by-step explanation:
This problem tests your understanding of order of operations rules.
Here you must do any work inside parentheses first, followed by multiplication, followed by subtraction:
5(13) - 3(2 -1) would be 65 -3(1), or 62.
If you actually meant 5(1 - 3) - 3(2 - 1), then you'd have
5(-2) - 3(1) = -10 - 3 = -13
Please compare the problem you've shared with the original problem, to ensure that these match.
Answer:
2i: 169.71
2ii: 0.17L
3a: 4×10⁻⁵
3b: 110011
Step-by-step explanation:
2i. The surface of the top and bottom of the tin is two times (top and bottom) π·r² = 2·π·3² = 18π cm².
The circumference of the circle is 2·π·r = 6π cm².
The area of the material connecting top and bottom is a rectangle of the tin height times the circumference: 6·6π = 36π cm².
This gives a total of 18π + 36π = 54π cm².
With π approximated by 22/7 the total surface area is 54*22/7 ≈ 169.71.
Notice how the calculation is simple by waiting until the very last moment to substitute π.
2ii. The volume is the area π·r² of the circle times the height of the tin: 9π*6 = 54π cm³ ≈ 169.71 cm³.
Since 1L = 1000 cm³ the volume is 0.16971 litres, which should be rounded to 0.17 L.
3a: If we rewrite P as 36 x 10⁻⁴ and realize that 36/2.25 = 16, then the fraction can be written as
16 x 10⁻⁴⁻⁶ = 16 x 10⁻¹⁰.
The square root of that is taking it to the power of 1/2, so (16x10⁻¹⁰)^0.5 = 4x10⁻⁵ = 0.00004
3b: 1111 1111 is 255 in decimal. 101 is 5 in decimal. 255/5 is 51 in decimal. 51 in binary is 110011.
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of hours Eli worked
y ----> the number of hours Samantha worked
we know that
Eli and they ironed 400 shirts between them
so
----> equation A
Samantha worked 2 more hours than Eli
so
----> equation B
solve the system by substitution
substitute equation B in equation A
solve for x
Find the value of y
substitute the value of x in equation B
therefore
The number of hours Eli worked was 6 and the number of hours Samantha worked was 8
Answer: $67.20
Step-by-step explanation:
56 × 0.2 = 11.2
11.2 + 56 = $67.20
Answer:
46.25
Step-by-step explanation:
82-25=57
24/6=4
57/4=14.25
14.25+32=46.25