29. 1.08+.89+.89=2.86 they need 3 dollars
30.they need $3.34
31.each greeting card cost 35 cents
32. she does have enough money because it the total for 3 gift wraps is $5.55 which is less than $6
Each coin will either land as a head or a tail. - 2 possible results.
for 5 coins its 2*2*2*2*2 = 32 different results.
We can solve this using substitution.
because x-y=2.5
x=y+2.5
Now substitute x into other equation.
2(y+2.5)^2-2y=125
2y^2+10y+12.5-2y=125
2y^2+8y-112.5=0
Now comes the ugly part
y=-4+-sqrt(16+900)
y=-4+-sqrt916
y=-4+-2sqrt229
x=-1.5+-2sqrt229
Answer:
See below
Step-by-step explanation:
From the table we see there is a relation between x and y values
Every step change of x = 0.5, every step change of y = 2
<u>This relation is linear. The formula for linear function is:</u>
<u>Using to pairs of points to get the slope and y-intercept</u>
<u>Calculating the slope:</u>
- m = (64 - 60)/(1 - 0) = 4/1 = 4
- y - intercept is 60 as per point (0, 60)
<u>So the function is</u>
<h3>Part A</h3>
<h3>Part B</h3>
<h3>Part C</h3>
- Slope is the steepness of the line.
- y -intercept is the lowest score with no time spent studying
Answer:
There are 4 possibilities
Step-by-step explanation
Each customer has 2 ways to receive the money. For each way, the other customer has 2 option, giving a total of 2*2 = 4. Here are the possibilities, separating in 2 different cases.
Case 1: customer 1 withdraws 2 $20 bills
option 1.1: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 2 $20 bills
option 1.2: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 4 $10 bills
Case 2: customer 1 withdraws 4 $10 bills
option 2.1: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 2 $20 bills
option 2.2: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 4 $10 bills
options 1.1, 1.2, 2.1 and 2.2 give us a total of four ways for the customers to retrieve thier money.
