Answer:
StartFraction 1 Over 45 EndFraction of a yard
Step-by-step explanation:
Length of the wooden dowel rod = 8/15 of a yard
Number of pieces = 24
What is the length of each piece of dowel rod?
Length of each piece of dowel rod = Total length of wooden dowel rod / number of pieces
= 8/15 ÷ 24
= 8/15 × 1/24
= (8*1) / (15*24)
= 8/360
= 1/45
Length of each piece of dowel rod = 1/45 of a yard
Answer:
The number of dimes = 32
The number of quarters = 14
Step-by-step explanation:
Here, the total number of coins combined = 46
Let us assume the number of dimes = m
So, the Number of quarter = Total Coins - Number of dimes = 46 - m
Now,as we know:
1 dime = $0.1
So, m dimes = m x ($0.1) = $(0.1 m)
1 Quarter = $0.25
So, ( 46 - m ) Quarters = (46 - m ) x ( $ 0.25) = 11.5 - 0.25 m
Also, given the total amount of coins = $ 6.70
⇒ Value of (Dimes + Quarters) = $ 6.70
or, (0.1 m) + 11.5 - 0.25 m = 6.70
-0.15 m = - 4.8
or, m = 4.8/0.15 = 32
⇒ m = 32
Hence, the number of dimes = m = 32
And the number of quarters = 46 - m= 46 -32 = 14
23.7%, all you got to do is move the decimal to the right twice
Factoring a trinomial is a tedious process, sometimes involving a trial-and-error process. The best approach would be to try out all the choices, replace them with x, and see if it satisfies the equation to be equal to zero. Since no choice are given, we use another technique: by using the scientific calculator under mode EQN (equation).
Once you're in mode EQN, choose the trinomial (ax^3 + bx^2 +cx +d =0).Then, all you have to do is substitute the coefficients (a=3, b = 8, c = -87, d = 28). Press equals, then the three roots would appear.
The roots, and therefore factors, are -7, 4 and 1/3. Any of those are factors of the given equation.
Answer: Y= 8x + 2.8
Step-by-step explanation: slope is 8 (think rise over run) and y-intercept seems to be 2.8, heh hope that helped
