Kevin gave ben $4.90 in dimes and quarters.if 10 coins were quarters how many coins were dimes which equation models this proble
1 answer:
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Answer:
Sarah is 13 years old
Step-by-step explanation:
Represent Sarah's age with S
Her first brother's age with F
Her second brother's age with B
So, we have:
From the first statement, we have:
---- (1)
From the second, we have:
---- (2)
The product of their ages is 40.
First, we make F the subject in (1) and B the subject in (2)
Their product is represented as follows:
Substitute values for F and B
Open bracket
Subtract 40 from both sides
Factorize:
Split:
or
But Sarah's age can't be 0 because she has two younger brothers.
So, we stick to
Make S the subject
<em>Hence, Sarah is 13 years old</em>
Answer:
Ephraim paid a 22.3% tip, what was his bill before adding the tip?
23.54
Step-by-step explanation:
For this case we assume the following notation:
represent the total paid for the dinner
x represent the amount before adding the tip
f =0.223 represent the fraction of the total amount destined to the tip
Based on this we can create the following relationship between T and x:
And we can solve for x from the previous equation like this:
Taking T common factor we got:
And if we replace we got:
And the amount destined to the tip would be
And if we add the two values we see that:
23.54+6.75 = 30.29 representing the total cost.
So then the correct answer for the question:
Ephraim paid a 22.3% tip, what was his bill before adding the tip?
23.54
The inverse functions of sine, cos and tan functions are csc, sec and cot respectively.
<u>Step-by-step explanation:</u>
The reciprocals of sine, cos and tan functions are csc, sec and cot functions. The reciprocal of cosine function is secant, (sec) sec θ =
The inverse or reciprocal function is cosecant (csc),
The inverse tangent function is cotangent (cot) , expressed in two ways: or
So then its reciprocal or inverse is termed as cot θ.