Since you're only interested in x, you can use the first equation to write an expression for y that can be substituted into the second equation.
.. y = k -x
.. 2x +3(k -x) = k +1
.. -x +3k = k +1 . . . . . collect terms
.. 2k -1 -x = 0 . . . . . . subtract k+1
.. 2k -1 = x . . . . . . . . .add x
The 3rd selection is appropriate.
Answer: 54000 cube cm
Step-by-step explanation:
Let h be the height of the box kite,
Also the length of one face = 30 cm,
Hence, the total area of the kite box that is covered by the fabric
= 4 × Area of one face
= 4 × 30 × h
= 120 h
According to the question,
120 h = 7200
h = 60 cm
Hence, the height of the box = 60 cm,
The volume inside the kite = The base area of the box × Its height
= 30² × 60
= 900 × 60
= 54000 cm³
Answer:
$9.86
Step-by-step explanation:
Frist you read the problem and you see that she pays $1.89 for one drink
so you write down $1.89
then 3 cookies for $0.99 so you multiply $0.99 by 3 and you get $2.97
so you write down $2.97
next 2 slices of pizza for $2.50 so you multiply 2 by $2.50 and you get $5.00
so you write that down
lastly you and the answers you wrote down and you get $9.86
Maya payed $9.86 for her order.
Let

. Then

, and so as

, you have

. The limit is then equivalent to
Answer:
mean: 7.62
median: 8
mode: 9
Step-by-step explanation:
first you have to put the data set in order:
6,6,6,6,7,7,8,8,9,9,9,9,9
the mode is the most often repeated number in a data set so the mode in this data set would be 9. The median is the middle number in the data set. The middle number in this data set is 8. Lastly, the mean in a data set is all of the numbers in the data set added together and then divided by how many numbers are in the set. The equation for this data set would be 99/13= 7.62
hope this helps!!