Let the number cherry Danishes be x
Let the number cheese Danishes be y
Given,
The number of cherry Danishes the student brings is at least 3
more than 2/3 the number of cheese Danishes
x ≥ 3 + (2/3)y
Given,
The number of cherry Danishes the student brings is no more than
twice the number of cheese Danishes.
x ≤ 2y
Merging, the two inequalities above,
3 + (2/3)y ≤ x ≤ 2y
3 + (2/3)y ≤ 2y
OR
2y ≥ 3
+ (2/3)y
2y – (2/3)y ≥ 3
Multiply both sides by 3
(3 * 2)y – (3 * 2/3)y ≥ 3 * 3
6y – 2y ≥ 9
4y ≥ 9
y ≥ 9/4
Since x ≥ 3 + (2/3)y, and y ≥ 9/4
Then, x ≥ 3 + (2/3 * 9/4)
x ≥ 3 + (2/3 * 9/4)
x ≥ 3 + 3/2
x ≥ 9/2
Since y ≥ 9/4 and x ≥ 9/2
x + y ≥ 9/4 +9/2
x + y ≥ 27/4
x + y ≥ 6.75
x + y represents the total number of Danishes the student brings
x + y ≥ 6.75 means that the total number of Danishes the student
brings is 6.75
<span>BUT since the total number of Danishes must be an integer, then that
the total number of Danishes the student brings is 6.</span>
Answer:
The total cost of purchase of Matt and Natalie are $29.41
Step-by-step explanation:
We are given the following in the question:
Cost of clothing without tax = $27.75
Tax percentage = 6%
Amount of tax on clothing =

Total cost of purchase =
=Total bill without tax + Amount of tax

Thus, the total cost of purchase of Matt and Natalie are $29.41
Answer: X = 1
Step-by-step explanation:
3 x
+ 4 + 1 =
+ 4
First, you would want to cancel out the equal terms, in this case its the +4's
3 x
+ 1 =
I would also change the
into a 1
3 x 1 +1 =
Now multiply and add
3 + 1 =
4 =
divide both sides by 4
x = 1
Refer the attached figure of the graph (Option A) that shows the solution to the given equation
<u>Step-by-step explanation:</u>
The given logarithmic equation is

The solution to this logarithmic equation is where the graph of

When comparing above with the given equation, we find that y = 1.
Now, find the 'x' value by using this. So, applying log base 3 rule on right side, we get as below,

x = 3 - 2 = 1
Plot the asymptote and the point (1 , 1). Sketch the log curve using those two reference facts. Hence, concluded the graph in option A as solution to the given equation.