Answer:
The slope is undefined
Step-by-step explanation:
Answer:
3:1
Step-by-step explanation:
We know that the number of students who prefer cheese AND vegetable pizza is 16 cheese + 2 vegetable = 18 combined
We also know that the number of students who prefer sausage AND pepperoni pizza is 3 sausage + 3 pepperoni = 6 combined
If we take the ratio between these figures, this ratio would be 18:6 (read as 18 to 6) which simplifies to 3:1 (read as 3 to 1).
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 :-)
3 x3 = 9 4 x 3 =12 6 x 2 = 18 3 x
Answer:
1
Step-by-step explanation:
A common factor is a number such that both 17 and 25 are divisible by that number. In this case, the greatest common factor of 17 and 25 is 1.
