Answer:
2. Judy =$5
Ben= $4
Step-by-step explanation:
2. Let Judy = x and Ben = y
8x + 10y = 80
9x + 5y = 65
Solve these simultaneous equations.
8
x + 10
y = 80
18
x + 10
y = 130
Take the second equation away from the first equation
−
10
x = −
50
x = 5
This means that Judy gets paid $5 an hour.
Therefore, Ben gets paid $4 an hour.
Answer:
3. 24 quarters and 16 dimes
Step-by-step explanation:
3. Let the number of dimes = x and the number of quarters = y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
dimes x $0.10 $0.10x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 40 $7.60
x + y = 40
0.10x + 0.25y = 7.60
Get rid of decimals by multiplying every term by 100:
10x + 25y = 760
So we have the system of equations:
x + y = 40
10x + 25y = 760
We solve by substitution. Solve the first equation for y:
x + y = 40
y = 40 - x
Substitute (40 - x) for y in 10x + 25y = 760
10x + 25(40 - x) = 760
10x + 1000 - 25x = 760
-15x + 1000 = 760
-15x = -240
x = 16 = the number of dimes.
Substitute in y = 40 - x
y = 40 - (16)
y = 24 quarters.
$1.60 + $6.00 = $7.60
I hope that helped, sorry for taking so long :-)
Answer:
a) 320 students
b) 25 students
Step-by-step explanation:
Number of 18-years old in the survey:
(We add all frequency points for each line)
0 + 30 + 20 + 60 + 70 + 40 + 60 + 40 + 0 = 320 students
Number of 18 year old spending between 25 and 35 minutes: 40 + 65 = 105
Number of 12 year old spending between 25 and 35 minutes: 30 + 50 = 80
105 - 80 = 25 students
Answer: The points of the images are (9,10), (15,6), (6,4) and the image is not a rigid motion because the shape changes in side.
Step-by-step explanation:
Since it gives you the scale factor then find they coordinates by multiplying the coordinates by the scare factor.
A(3,5) → (3*3,5*2) → (9,10)
B( 5,3) → (5*3, 3*2) → (15,6)
C ( 2,3)→ (2*3, 2*2)→ ( 6,4)
Answer: The monthly payments for a $5,000 loan would $146.51.
Step-by-step explanation: How it looks in the TVM Solver formula:
N = 36 ( 3 (years) x 12 (monthly payments) )
I% = 3.5%
PV = $5,000
PMT = 146.51 (or 146.08 if you choose BEGIN)
FV = 0
P/Y = 12 (months)
C/Y = (12 (months)
PMT: <u>END</u> | BEGIN
6% chance he is certified
Molly has a 54%chance
60% chance
If you do them out of 100%
