Answer:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.50x + 43y ≤ 200
Step-by-step explanation:
From the question we are told that:
If x and y represent the number of tickets Paige purchased for the 2 types of seats, Paige would like to attend at least 5 concerts.
The inequalities that models the situation above is given as:
x ≥ 0
y ≥ 0
x + y ≥ 5
Also from the question, we were told that: There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200.
The inequalities that models the situation above is given as:
29.50 × x + 43.00 × y ≤ 200
29.5x + 43y ≤ 200
Therefore, the system of inequalities that could Paige use to model this situation is:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.5x + 43y ≤ 200
For Point P, you need to recognize that a 1:2 ratio means that AP will be 1/3 of AB and PB will be 2/3 of AB.
So you need to find the change in the x-values, 14-2 = 12, and then add 1/3 of that change to the x-value of A.
Then you need to find the change in the y-values, 9-3 = 6, and then add 1/3 of that change to the y-value of A.
For the bisector, that's another way to say you'll split AB into two even pieces. For this, it's the same as what we just did, but you need to find 1/2 of the two respective changes (1/2 of the x-change and 1/2 the y-change).
She made 15 cookies
<em><u>Solution:</u></em>
Let "x" be the number of cookies she made
She gave 1/3 of cookies for her husband
Therefore,
Find the remaining
1/4 of the cookies to her son
Therefore,
Now again find the remaining
1/6 of a cookies to her neighbor
Now again find the remaining
She ate the remaining six cookies
Therefore,
Thus she made approximately 15 cookies
Pretty sure it’s 4/x-1 if u use synthetic division.
Answer:
16
Step-by-step explanation:
since 4/5 have a pet, you would divide by 5.
30÷5=6
but since only 4 have a pet, you would multiply that by 4 to get 4/5
6×4=24
24 students have pets
now you would divide by 3, as 2/3 have a dog
24÷3=8
but only 2/3 have dog, so you would multiply by 2
8×2=16
I'm sure there is a simpler way but this is how I would do it.
