Answer:
140 + 96 m
Step-by-step explanation:
There are 4 weeks in 1 month.
Therefore:
Jonny has $50 in a savings account. Each week, he deposits $13 in the account.
$50 + $13 × 4m
The algebraic expression is given as:
50 + 52m
Jonny's brother has $90 in a saving account.
Each week, he deposits $11 in the account.
The algebraic expression is given as:
$90 + $11 × 4m
90 + 44m
An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:
Amount Jonny has + Amount his brother has
50 + 52m + 90 + 44m
= 50 + 90 + 52m + 44m
= 140 + 96 m
.3 = 3/10
.5 = 1/2
.05 = 1/20
.25 = 1/4
Answer:
$1.46
Step-by-step explanation:
Required cards for winning :
1's, 2's and 3's
There are 4 cards of each in a total of 52 cards ;
Therefore, number of winning cards ;
(4 * 3) = 12 cards
Hence,
P(winning) = 12 / 52 = 3 / 13
P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13
Earning (X)
Amount earned for winning = $43
Amount lost for not winning = $11
X ___ $43 ______ - $11
P(X) _ 3/13 _______ 10/13
Expected value, E(X) = ΣX*P(X)
Σ(X) = (43 * 3/13) + (-11 * 10/13)
E(X) = 9.9230769 - 8.4615384
E(X) = 1.4615385
E(X) = $1.46
Answer:
(-3/10,-16/5)
Step-by-step explanation:
One way to solve a system of equations is by elimination. We can take one equation and subtract the other equation from it to cancel out on of the variables making the equation into something we can solve. In this case the Y's will cancel out because we have 1 Y in each equation
-4x+y=-2
6x+y=-5 subtract
-4x-6x=-10x
y-y=0
-2-(-5)=3
so our equation is -10x=3 and we can solve for x giving us x=-3/10
now we can plug -3/10 in for x into either of the original equations and solve for Y
y+5=-6(-3/10)
y+5=9/5
y=-16/5
so our answer is (-3/10,-16/5)
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:
<h3>P=6s</h3>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>
- a linear function is function with two variables one dependent another one is independent
<h3>let's solve:</h3>
since we can see what linear function is
the second condition is the best fit
<h3>The perimeter of a square, P, where the length of each side of the square is B represented by s</h3><h3>(P = 4s)</h3>
therefore
our answer is b