Answer:
3 1/24
Step-by-step explanation:
first find common denominator which is 24
so make 7 and 2/3 23/3 and then 184/24
Then 4 and 5/8 into 37/8 and then 111/24
then 184/24 - 111/24 = 73/24
simplify
3 and 1/24
Answer:
The distance from the shuttle to the horizon is 7158.2 miles
Step-by-step explanation:
the portion of earth that the astronaut can see is the distance from the shuttle to the horizon (d)
The earth radius is 4000 miles and the satellite is 4200 miles. This can be represented by a triangle with sides 4000 miles and d and a hypotenuse of (4000 + 4200 = 8200 miles). Using Pythagoras rule:
8200² = 4000² + d²
d² = 8200² - 4000²
d² = 51240000
d = 7158.2 miles
The distance from the shuttle to the horizon is 7158.2 miles
Answer:
![E = 30 \times H](https://tex.z-dn.net/?f=E%20%3D%2030%20%5Ctimes%20H)
$570
Step-by-step explanation:
Given that:
For each hour of tutoring, Lena earns 30 dollars.
E is her earning and
H is the number of hours for which she tutors.
To find:
Equation relating E to H.
Solution:
Let Lena tutors for 1 hour, then the earning = 30 dollars
Let Lena tutors for 2 hours, then the earning = 30+30 OR 2
30 = 60 dollars
Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3
30 = 90 dollars
If Lena tutors for H number of hours, then the earning, E = 30 + 30 + .... + 30 (H times) i.e.
![E = 30 \times H](https://tex.z-dn.net/?f=E%20%3D%2030%20%5Ctimes%20H)
So, the equation that relates E to H is given as:
![E = 30 \times H](https://tex.z-dn.net/?f=E%20%3D%2030%20%5Ctimes%20H)
Now, it is given that she tutors for 19 hours.
Let us put H = 19 hours in the above equation:
![E = 30 \times 19 \\\Rightarrow E = \$570](https://tex.z-dn.net/?f=E%20%3D%2030%20%5Ctimes%2019%20%5C%5C%5CRightarrow%20E%20%3D%20%5C%24570)
Therefore, the earning for 19 hours of tutoring is <em>570 Dollars.</em>
Answer:
Equal to 440
Step-by-step explanation:
Answer:
the exact value of x is 2
Step-by-step explanation:
8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
32⁽¹/²⁾ = 2⁵⁽¹/²⁾ = 2⁽⁵/²⁾
8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾ = 2⁽¹/²⁾
8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ = 2⁽¹/²⁾+ˣ = 2⁽¹/²+ˣ⁾
since 8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾ = 2⁽⁵/²⁾
2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾
equate the powers
1/2+ x = 5/2
subtract 1/2 from both sides
x = 5/2 - 1/2 = (5-1)/2 = 4/2 = 2
x = 2