Complete question :
Chuck lives 4/5 of a mile from the post office. He walked 2/3 of the way from home to the post office. How far did Chuck walk? If possible, write the answer in reduced form
Answer:
8/ 15 miles
Step-by-step explanation:
Given that:
Distance from house to post office = 4/5 miles
Distance walked = 2/3 of the distance
Hence, the distance walked can be obtained thus :
2/3 of (4/5)
2/3 * 4/5
8 / 15
Hence, Chucks walked 8 /15 miles
Answer:
0.006 miles per hour
Step-by-step explanation:
We are given;
Speed in cm per minute ( 17 cm per min)
We are required to convert cm per minute to miles an hour
we need to know that;
1 miles = 160934 cm
1 hour = 60 minutes
We can convert 17 cm to miles and 1 minute to hours
17 cm = 17 ÷ 160934 cm
= 17/160934
1 minute = 1/60 hour
Therefore;
In miles per hour;
= (17/160934) ÷ (1/60)
= 0.00634 miles per hour
= 0.006 miles per hour
Therefore, 17 cm per minute is equivalent to 0.006 miles per hour
Answer:
Part A)
1) 
2) 
Part B)
1) 
2) 
Step-by-step explanation:
Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form 
or 
step 1
<u>Find the value of k</u>
x=50 when y=5
substitute the values
------> 
----->
The equation is equal to
or 
step 2
<u>Find y when x=10</u>
substitute the value of x in the equation and solve for y
Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form 
or 
step 1
<u>Find the value of k</u>
x=6 when y=42
substitute the values
------> 
----->
The equation is equal to
or 
step 2
<u>Find y when x=12</u>
substitute the value of x in the equation and solve for y
For the first one, you're answer would be AC. since C is also a right angle, and angle A is hypnotenuse to C
Answer:
<u>The correct answer is B. x ≈ 4.5, y = 5, z = 9</u>
Step-by-step explanation:
1. We will use the Pythagorean theorem for solving for x, this way:
x² = 6² - 4²
x² = 36 - 16
x² = 20
x = √20
x = 2 √5 = 4.47 ≈ 4.5
2. For solving for y, we will do it this way:
There are only two possible options: y = 5, included in answer B or y = 9 as it is defined on answer C.
If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.
<u>Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9</u>
