Half of 2/3 is:

This means that 1/3 was left. This also means that they ate 1/3 of the lasagne.
Model diagram can be seen in attachment.
Answer:
Step-by-step explanation:
what points do you want me to plot?
Answer:
he will need 224 yards of string
Step-by-step explanation:
56 ballons *12 feet=672 feet
each yard is 3 feet so he will need
1yard--->3feet
X<-------672feet=224 yards
Using a system of equations, it is found that the three consecutive even integers are -8, -6 and -4.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the three consecutive even integers are represented by:
n, n + 2, n + 4
The first integer is two times the third, hence:
n = 2(n + 4)
2n + 8 = n
n = -8
Thus:
n = -8
n + 2 = -8 + 2 = -6
n + 4 = -8 + 4 = -4
The integers are -8, -6 and -4.
To learn more about system of equations, you can take a look at brainly.com/question/26650649
Answer:
So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.
Let's solve for what is easier first:
Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.
Here comes the interesting part:
Now, we have one part of QR, which is QN.
The other part can be solved by using the Pythagorean theorem.
It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.
SO, QR = QN + NR
5+36 = 41
QR = 41.
Hope this helps!