Answer:
use your distributive properties and combine the two equations and just use pemdas.
Step-by-step explanation:
Number of bottles of juice are needed for 24 students = 4
Number of bottles of juice are needed for 42 students = 7
<h3><u>Solution:</u></h3>
Given that cafeteria worker knows that it takes 3 bottles of juice to serve a table of 18 students
<em><u>To find :</u></em>
1) Number of bottles of juice are needed for 24 students
2) Number of bottles of juice are needed for 42 students
Since its given that 3 bottles of juice to serve a table of 18 students
So, number of bottles required for one student is given as:
Let "a" be the number of bottles required for one student
18 students ⇒ 3 bottles
1 student ⇒ "a" bottles
On cross multiplication we get,
<h3><em><u>
Finding number of bottles of juice are needed for 24 students:</u></em></h3>
number of bottles of juice are needed for 24 students = 24 x number of bottle required for 1 student
<h3><em><u>
Finding number of bottles of juice are needed for 42 students:</u></em></h3>
number of bottles of juice are needed for 42 students = 42 x number of bottle required for 1 student
Answer:
18.84 feet
Step-by-step explanation:
The circumference of a circle can be found using:
c=π*d
The radius is given, but we have to find diameter. The diameter is twice the radius, or
d=2r
The radius is 3 feet. Substitute 3 in for r.
d=2*3
d=6
The diameter is 6 feet.
Now we have the diameter. We can substitute 6 in for d in the circumference formula. We can also substitute 3.14 in for pi.
c=π*d
c=3.14*6
c=18.84
The circumference is <u>18.84 feet</u>
Answer:
B
Step-by-step explanation:
f(x) = x³
g(x) = (x - 3)³ - 2
The inside of the parenthesis represents a horizontal shift
If the number operation being done to x inside of the parenthesis is adding ( or if the number is positive ) then the graph will shift to the left. If the operation being done inside of the parenthesis to x is subtraction ( or if the number is negative ) then the graph will shift to the right.
The operation being done is subtraction therefore it will shift to the right. So it will go 3 units to the right.
the number on the outside works like a y intercept. if it's positive it goes up, if it's negative it goes down. the number is -2 so it will go down 2 units
we can conclude that g is shifted 3 units right and 2 units down
the answer is B
2x + 3y = 12 (1st)
5x − y = 13 (2nd) ---> y = 5x - 13
Substitute y = 5x - 13 into (1st) equation
2x + 3(5x - 13) = 12
2x + 15x - 39 = 12
17x - 39 = 12
17x = 51
x = 3
substitute x = 7 into y = 5x - 13
y = 5x - 13
y = 5(3) - 13
y = 15 - 13
y = 2
Answer
solution x = 3 and y = 2
