Answer:
part A: expression 1: 6(8m+2)
expression 2: 6m+12+42m
Part B: 6(m+2+7m)= 6(8m+2)
combine like terms is 6(m+2+7m), so it is 6(2+8m) or 6(8m+2)
6(8m+2)= 6(8m+2)
Part C: 6m+12+42m=6(m+2+7m)
m=0
6(0+2+7(0))=6(0)+12+42(0)
6(2)= 12
12=12
<h2>
Forming Equations from Word Problems</h2>
To form equations from word problems, we can derive mathematical operations as well as variables from the given information.
In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.
<h2>Solving the Question</h2>
<em>Let r represent the pages left to read.</em>
<em />
792 pages in total
Walker reads 15 pages a day during the week and 25 pages a day during the weekend.
- There are 5 weekdays, and he reads 15 pages each of those days. ⇒ <em>r</em> = 792 - 5×15
- There are 2 weekend days, and he reads 25 pages each of those days.
⇒ <em>r</em> = 792 - (5×15 + 2×25)
5 weeks have passed
- Multiply the terms representing the number of pages he reads a week by 5, for 5 weeks.
⇒ <em>r</em> = 792 - (5×15 + 2×25)×5
<h2>Answer</h2>
<em>r</em> = 792 - (5×15 + 2×25)×5
Answer:
look this up ok
Step-by-step explanation:
Graph axis of symmetry vertex and max and min, domain and range
Answer:
x = 22
Step-by-step explanation:
+ 2 = 6 ( subtract 2 from both sides )
= 4 ( square both sides to clear the radical )
x - 6 = 4² = 16 ( add 6 to both sides )
x = 22
Answer:
The probability that a ship that is declared defecive is sound is 0.375
Step-by-step explanation:
Let P(A|B) denote the conditional probability of A given B. We will make use of the equation
P(A|B) = P(A) × P(B|A) / P(B)
We have the probabilities:
- P(Declared Defective (detected) | Defective) = 0.95
- P(not Detected | Defective) = 1-0.95=0.05
- P(Declared Sound | Sound) = 0.97
- P(Declared Defective |Sound) = 1-0.97=0.03
We can calculate:
P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076
P(S | Declared Defective) =
(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)
=0.95×0.03 /0.076 =0.375
