Answer:
The slope is equal to
Step-by-step explanation:
we have
Isolate the variable y
Subtract 
both sides
Divide by 
both sides
Multiply by 
both sides
------> linear equation into slope-intercept form
the slope is equal to
The y-intercept is equal to
232.50
1550 / 100 is 15.5 so 15.5 = 1%, 15.5 x 15 = 232.5 = 15%
Answer:
The maximum size of the smaller jars is 6 liters
Step-by-step explanation:
Container 1=174 liters of oil
Container 2=258 liters of oil
Same pours the entire content of container one and container 2 into the same number of smaller jars
The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258
Factors of 174=1,2,3,6,29
Factors of 258=1,2,3,6,43
Common factors of 174 and 258=1,2,3 and 6
Highest common factor=6
Therefore,
The maximum size of the smaller jars is 6 liters
Answer: 3 x 5
Step-by-step explanation: To find the prime factorization of 15, first create a factor tree with two branches. Since 15 ÷ 3 = 5, we know that 3 and 5 are factors of 15. So we write 3 and 5 at the bottom of the branches.
While 1 and 15 are also factors, we don't use them in out factor tree. That's because when finding the prime factorization, we always use numbers other than 1 and the number itself.
Next, we circle any prime factors in the factor tree. Since both 3 and 5 are prime, we circle both 3 and 5. Since we have circles at the bottom of all of our branches, we are finished.
So the prime factorization of 15 is 3 x 5.
Notice that we write our prime factorization as a multiplication problem. Think of the prime factorization of a number as the prime factors of the number that you multiply together to get the original number.
Formula of direct variation is: y = kx
k is the constant of variation
y is the total value that is directly varies with the changes in x.
in this case. x is represented by a. y is represented by b.
A.) b = 0.7a ⇒DIRECT VARIATION with 0.7 as the constant of variation
B.) b = 1/8 a⁻³ ⇒ Not a direct variation. Because a has a negative exponent
C.) 5(1/a) = b ⇒ Not a direct variation
D.) 1a = b ⇒ DIRECT VARIATION with 1 as the constant of variation
