A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where

.
In answer a,

, so it is a direct variation.
In answer c,

, so it is a direct variation.
In answer d,

, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>

. Instead, it is expressed as </span>

, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
Answer:
Inches
Gallons
Kilometers
Yards
Step-by-step explanation:
We are to proffer the appropriate unit of measurement for each scenario given below :
a. My foot is 21 inches long. (unit for measuring length which are usually small such a a person's foot)
b. My large aquarium holds 55 gallons of water. (volume measurement of liquid in a large container)
c. My dad drives 27 kilometers to work each day. (distance measurement which are moderately long)
d. I just bought 12 yards of carpet to cover my family room floor. (length measurement used for materials such as cloth, carpet, rugs e.t.c).
Answer:
h = 1/2
Step-by-step explanation:
Step 1: Write equation
2.4(5h + 10) - 3 = 27
Step 2: Distribute
12h + 24 - 3 = 27
Step 3: Combine like terms
12h + 21 = 27
Step 4: Subtract 21 on both sides
12h = 6
Step 5: Divide both sides by 12
h = 6/12
Step 6: Simplify
h = 1/2
Answer:
almost 0%
Step-by-step explanation:
Given that for an insurance company with 10000 automobile policy holders, the expected yearly claim per policyholder is $240 with a standard deaviation of 800
using normal approximation, the probability that the total yearly claim exceeds $2.7 million is calculated as follows:
Sea sumatoria de x = SUMX, tenemos que:


= P (z => 3.75)
= 1 - P ( z < 3.75)
P = 1 - 0.999912
P = 0.000088
Which means that the probability is almost 0%
Answer:
73°
Step-by-step explanation:
the measure of two complementary angles add up to 90
so We need to solve this equation to get the measure of its complementary angle :
x + 17 = 90
then
x = 90 - 17
= 73