Answer:
Step-by-step explanation:
Since we are not given the value of P, |Q|, R and S, we can as well assume values for them for the sake of this question.
Let P = 5, |Q| = 6, R =7 |S| = 2
Note that since Q and S are in modulus sign, they can return both positive and negative values.
P+Q = 5 + 6 (note that the positive value of Q is used since we need the greatest value of P+Q)
P+Q = 11
Hence the greatest value of P+Q is 11
For the least value of P+Q, we will use the negative value of Q as shown
P+Q = 5+(-6)
P+Q = 5-6
P+Q = -1
Hence the least value of P+Q is -1
Similarly:
R+S = 7 + 2 (note that the positive value of S is used since we need the greatest value of R+S)
R+S = 9
Hence the greatest value of R+S is 9
For the least value of R+S, we will use the negative value of S as shown
R+S = 5+(-2)
R+S = 5-3
R+S = 2
Hence the least value of P+Q is 2
NOTE THAT THIS ARE ASSUMED VALUES. ALL YOU NEED IS TO PLUG IN THE VALUES OF P, Q and R THAT YOU HAVE IN CASE THE VALUES DIFFERS.
Answer:
The answers to each part are:
Part A.
- <u>The quantity of apples is one-third of the quantity of grapes</u>.
Part B.
- <u>The quantity of apples is a quarter of the quantity of strawberries</u>.
Part C.
- <u>The number of cherries is two-elevenths of the total fruit</u>.
Step-by-step explanation:
To identify the answer in each case, you must remember that all the parts are equal, then:
Part A.
The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:
So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.
Part B.
The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:
In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.
Part C.
First, you must add all the part of fruit:
- <em>1 part apple</em>
- <em>1 part orange</em>
- <em>4 parts strawberry</em>
- <em>2 parts cherry </em>
- <em>3 parts grape</em>
The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:
- 2 / 11 = 2/11 (two-elevenths)
Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.
You are given two x and y pairs: (100,45) and (570,162.5)
First solve for the slope, m.
m = (162.5 - 45) / (570 - 100)
m = 117.5 / 470
m = 0.25
Not only is "m" the slope but it is the rate (dollars per minute) in the question. So it's 25 cents per minute to use the phone.
After imputing "m" the linear equation looks like this:
y = 0.25x + b
Use either point as (x,y) to solve for the y-intercept "b". I'll use (100,45)
45 = 0.25(100) + b
45 = 25 + b
45 - 25 = b
20 = b
Not only is "b" the y-intercept but it is also always the flat fee added on to linearly increasing cost questions like this.
Final equation is:
y = 0.25x + 20
Part B.) If 939 minutes are used. Just put that in for x and solve for y.
y = 0.25(939) + 20
y = 234.75 + 20
y = 254.75
Answer:
Exact Form:
x= -3/2
Decimal Form:
x= -1.5
Mixed Number Form
x= -1 1/2
Step-by-step explanation:
Answer:
U=3
Step-by-step explanation:
Since 9*3=27, and 27-7=20, U=3.
