Answer:
37 & 67
Step-by-step explanation:
11 & 33
42 & 56
- 42 - 1, 2, 3, 6, 7, 14, 21, 42
- 56 - 1, 2, 4, 7, 8, 14, 28, 56
- Both 42 and 56 are composite numbers
- 42 & 56 is incorrect
37 & 67
- 37 - 1, 37
- 67 - 1, 67
- Both 37 and 67 are prime numbers
- 37 & 56 is correct
57 & 97
- 57 - 1, 3, 19, 57
- 97 - 1, 97
- 57 is a composite number, 97 is a prime number
- 57 & 97 is incorrect
Answer:
I would pick the letter C
Step-by-step explanation:
Step-by-step explanation:
Equation of line:
where m is the slope
and c is the y-intercept (the value of y when x = 0)
In this case, given the slope = 1/4
and y-intercept is 8 (from the point (0,8))
The equation of the following line is:
<span>∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
v = km
where k is constant and can be calculated as follow:
when m = </span><span>34.932 , and v = 4.1 ⇒⇒⇒ k = v/m = 0.117371
</span>when m = 47.712<span> , and v = 5.6 ⇒⇒⇒ k = v/m = </span>0.117371
when m = 61.344 , and v = 7.2 ⇒⇒⇒ k = v/m = <span>0.117371
when m = </span>99.684 , and v = 11.7 ⇒⇒⇒ k = v/m = <span>0.117371
∴ v = 0.117371 m
</span>
For v =<span>15.3
∴ m = v/k = 15.3/0.117371 = 130.356 </span><span>gram
</span>The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (<span>round to the nearest tenth</span>)
