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:
(x+2)(x+6)
Step-by-step explanation:
x2 + 8x +12
x 2
x 6
Answer:
Dimensions, Length = 85 feet and Width = 40 feet
Area of lawn = 3400 
Step-by-step explanation:
Given: Lawn is rectangular in shape
Length of lawn is 5 feet more than twice its breath/width
Perimeter of Lawn = 250 feet
To find: (a) Length and width of lawn
(b) Area of Lawn
First let the a variable for width/breadth. Say, Width = b.
So, the length of lawn = 2b + 5
Perimeter of Rectangle = 2 × ( length + width )
Now, substitue given values in this formula
∴ Perimeter of Lawn = 2 × ( 2b + 5 + b )
∴width = 40 feet
⇒ length = 85 feet
Now we find are of lawn using formula of area of rectangle
Area of lawn = length × width
= 85 × 40
= 3400
Dimensions, Length = 85 feet and Width = 40 feet
Area of lawn = 3400
put the decimal in the multiplication problem in the exact same point under the line then multiply as normal and you should get 152.6 meaning $152.60
Answer:
210
Step-by-step explanation:
first I took 120 and divided by four to show how many cupcakes he can make in thirty minutes (.5 of an hour). this was 30. the reason we divided by four is because in two hours theres four halves.
120÷4=30 for half an hour
30x2=60 this is how many cupcakes he can make in one hour
since we already know how many he makes in two hours we're going to use that
120+60=180 (three hours)
120+60=180 (three hours)180+30 (half an hour) =210
