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
so we know she has sculptures and paintings, if she sold twice as many paintings as sculptures, that means that for every 2 paintings, she sold 1 sculpture, so the paintings and sculptures are on a 2:1 ratio.
we know she sold a total of 57, so we'll need to split 57 in a 2:1 ratio, we'll simply divide the whole amount of 57 by (2+1) and distribute accordingly.
![\bf \cfrac{paintings}{sculptures}\qquad 2:1\qquad \cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{57}{2+1}}{1\cdot \frac{57}{2+1}}\implies \cfrac{2\cdot 19}{1\cdot 19}\implies \cfrac{\boxed{38}}{19}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bpaintings%7D%7Bsculptures%7D%5Cqquad%202%3A1%5Cqquad%20%5Ccfrac%7B2%7D%7B1%7D%5Cqquad%20%5Cqquad%20%5Ccfrac%7B2%5Ccdot%20%5Cfrac%7B57%7D%7B2%2B1%7D%7D%7B1%5Ccdot%20%5Cfrac%7B57%7D%7B2%2B1%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%2019%7D%7B1%5Ccdot%2019%7D%5Cimplies%20%5Ccfrac%7B%5Cboxed%7B38%7D%7D%7B19%7D)
Answer:
Both of them would have a 1/6 chance of being chosen
Step-by-step explanation:
Sorry I don't know if this is the answer you are looking for :(
Answer:
19
Step-by-step explanation:
While it's really easy to just divide, I'm sure your teacher wants an equation so:
1615=85x here x= skittle boxes
1615/85=x In this line you can use divide to cancel out the multiplication, giving you
x=19
Answer:
y = 567
Step-by-step explanation:
y = x^2
y = kx^2 ........k is constant
112 = k * 4^2
k = 112/ 4^2
k = 7
so,
y = x^2
if x = 9
then,
y = 7 * 9^2
y = 567