Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2.60 if she paid with a ten dollar bill how much money did she have
2 answers:
The amount Cheryl will have left will be $1.90
- Total amount she had = 10 dollars
- Total amount she spent on sandwich =
dollars (which is also expressed as 5.5)
- Total amount she spent on a drink = 2.60 dollars
To determine the amount she has left, the amount she spent on sandwich and a drink will be added together, then the resulting value will be subtracted from the total amount.
Therefore,
- let the amount she will have left be L; L = ?
- Let amount she spent on sandwich be S; S = 5.5
- Let amount she spent of a drink be D; D = 2.60
- Let the total amount she had be T; T = 10
Hence L = T – (S + D)
Thus,
Deriving the amount she spent on sandwich and a drink:
= S + D
= 5.5 + 2.60
= 8.1
S + D = 8.1
Recall, L = T – (S + D)
Recall T = 10
Therefore,
L = 10 – (8.1)
L = 10 – 8.1
L = 1.90
Therefore, Cheryl will have $1.90 left.
The above expression is a number problem, and was solved with the aid of adding some significant numerical values together, and ultimately subtracting it from another number to get a final answer.
The Addition and Subtraction of the number values are functions of BODMAS.
LEARN MORE:
- Numbers: brainly.com/question/2906770
- fraction brainly.com/question/6201432
- What does BODMAS stand for brainly.com/question/9352422
KEYWORDS:
- sandwich for 5 1/2
- drink for $2.60
- ten dollar bill
- bodmas
- fraction
- numbers
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Answer:
First, let's define the transformations in a general way.
Vertical translation:
A vertical translation of N units is defined as:
g(x) = f(x) + N
if N is positive, the translation is up
if N is negative, the translation is down.
Horizontal translation:
A horizontal translation of N units can be written as:
g(x) = f(x - N)
if N is positive, the translation is to the right
if N is negative, the translation is to the left.
Reflected vertically (or a reflection over the x-axis)
This type of reflection changes the sign of the y component.
We can write those as:
g(x) = -f(x)
Then:
We start with the function:
f(x) = 2^x
First we reflect it vertically.
g(x) = -2^x
now we do a vertical translation of 5 units up, then:
g(x) = -2^x + 5
Now we do a translation of 3 units to the left, then we get:
g(x) = - 2^(x + 3) + 5
Then we already did the first step.
Now we want to find the domain for this function, the domain will be the set of the possible values of x that we can input in the function g(x).
Notice that in this function the denominator is never zero, so there are no values of x that generate problems here, so the domain will be the set of all real numbers, that can be written as:
(-∞, ∞)
3) Now we want to find the range, this is the set of the possible values of g(x).
The Largest value of g(x) will be when the exponential part tends to zero, this is for really small values of x, such that when x goes to minus infinity, -2^(x + 3) goes to zero.
Then:
g(-∞) ≈ 5
The maximum of the range is 5.
And we do not have a minimum, because as x increases the function will decrease infinitely.
Then the range will be:
(-∞, 5)
(A graph of the function can be seen below)
