Answer:
21/4
Step-by-step explanation:
Multiply 7 and 3/4 to get 5.25 which is equivalent to 5 1/4
5 1/4 in an improper fraction is 21/4
Answer:
f(-3) = g(-3)
Step-by-step explanation:
We know that f(x) = g(x) where the two graphs intersect
f(-3) = g(-3)
The displaced volume of the water, because of the submersion of the object, is equal to the volume of the object.
So to find the volume of the object we calculate the difference in volume of water:
33.1-25.1 = 8 ml
Since 1 mL of water has the volume of 1cm^3, then the volume of the object is 8 cm^3.
The density of the object is found by the formula:
density= mass/volume= (3 g) / (8 cm^3) = 3/8 (g/cm^3)= 0.375 g/cm^3
Answer: 0.375 g/cm^3
Answer:it has one and only one solution.
Step-by-step explanation:
The given system of equations is expressed as
4x - 5y = 24 - - - - - - - - - - - - -1
2x + 3y = -10 - - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 1 and equation 2 by 2. It becomes
4x - 5y = 24
4x + 6y = - 20
Subtracting, it becomes
- 11y = 44
Dividing the left hand side and the right hand side of the equation by
- 11, it becomes
- 11y/- 11 = 44/- 11
y = - 4
Substituting y = - 4 into equation 2, it becomes
2x + 3 × - 4 = -10
2x - 12 = - 10
2x = - 10 + 12
2x = 2
Dividing the left hand side and the right hand side of the equation by
2, it becomes
2x/2 = 2/2
x = 1
Answer:
k = 31
Step-by-step explanation:
17 = (-14) + k
Add 14 to both sides
k = 31
