Answer:
1. 1.96 g/L
2. 1 g/cm³
Step-by-step explanation:
Density is found by dividing mass by volume: d = m/v.
1.
We know that the mass is 0.196 grams, while the volume is 100 mL.
Converting the volume to liters, we get:
100 mL = 0.1 L
Then, applying our density formula:
d = m/v
d = 0.196 g / 0.1 L = 1.96 g/L
2.
Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.
The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.
Applying our density formula gives:
d = m/v
d = 27 g / 27 cm³ = 1 g/cm³
<em>~ an aesthetics lover</em>
Answer:
10 miles
Step-by-step explanation:
Find how much she runs during one track practice by dividing 8 by 4. This gives you the equation 2x, with x being the number of track practices.
Answer:
3,672
Step-by-step explanation:
Given the sequence 6, 9, 12...
The sequence is an arithmetic sequence
first term a = 6
common difference d = 9 - 6 = 12 - 9 = 3
number of terms n = 48
Sn = n/2[2a+(n-1)d]
Substitute the given values
S48 = 48/2[2(6)+(48-1)(3)]
S48 = 24(12+(3*47))
S48 = 24(12+141)
S48 = 24(153)
S48 = 3,672
Hence the sum of the first 48terms is 3,672
Answer:
3 cars
Step-by-step explanation:
If 12 cars are needed to carry 36 students,
<em>12</em><em>c</em><em>a</em><em>r</em><em>s</em><em> = 36</em>
the number of cars to carry 9 students will be:
xcars = 9
cross the two equations
36x = 12 X 9
36x = 108
x = 108/36
x= 3
Therefore, 3 cars are needed to carry 9 students
OR
12 cars will carry 36 students
so 1 car will carry, (36/12)students
therefore, 1 car will carry 3 students
So, for 9 students,
9students = 9/3 = 3
Answer: The width is the square root of 40 or 6.32
Step-by-step explanation:
9^2 + b^2 = 11^2 where b squared is the width
81 + b^2 = 121
-81 -81
b^2 = 40
b= 6.32
