Answer:
Kayla bought 7 tacos and 10 hotdogs
Step-by-step explanation:
Let the number of hotdogs be x.
Let the number of tacos be y.
i) It is given that x = y + 3
ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126
iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126
therefore 15y + 21 = 126
therefore 15y = 105
therefore y = 7
Therfore Kayla bought 7 tacos
iv) Using the value of y from iii) in i) we x = 7 + 3 = 10
Therefore Kayla bought 10 hotdogs
the complete question in the attached figureLet
A°-----------> <span>the same central angle
</span><span>
For the larger circlelength of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m
360</span>°<span> (full circle) has a length of------------> 75.36 m
A</span>°-----------------------------------> 16 m
A°=(16)*360/75.36--------> A=76.43°
For the smaller circlelength of smaller circle=2pi*r-------> 2*pi*7.5-----> 47.1 m
360° (full circle) has a length of------------> 47.1 m
76.43°-----------------------------------> X
X=76.43*47.1/360-----> X=10 m ----> length arc of the smaller circle
the answer isthe length arc of the smaller circle is 10 m
39.50-23.76-2.57-1.49=11.68
take the sales and subtract the expenses
Check the picture below, is a negative angle, thus, is going "clockwise"
Theory:
The standard form of set-builder notation is <span>
{ x | “x satisfies a condition” } </span>
This set-builder notation can be read as “the set
of all x such that x (satisfies the condition)”.
For example, { x | x > 0 } is
equivalent to “the set of all x such that x is greater than 0”.
Solution:
In the problem, there are 2 conditions that must
be satisfied:
<span>1st: x must be a real number</span>
In the notation, this is written as “x ε R”.
Where ε means that x is “a member of” and R means “Real number”
<span>2nd: x is greater than or equal to 1</span>
This is written as “x ≥ 1”
Answer:
Combining the 2 conditions into the set-builder
notation:
<span>
X =
{ x | x ε R and x ≥ 1 } </span>