To work out the average speed you would have to use the formula
AS = 15.0 ÷ 30.0 = 0.5 which is distance divided by time.
The you would do 0.5 x 60 = 30 (60 minutes = 1 hour)
So the average speed would be 30.0 km/h.
Answer:
1/4, 2/6, 4/10
Step-by-step explanation:
1/4 = .25
2/6 = .333...
4/10 = .4
Answer:
The owner's profit for a ten-day period is $4675
Step-by-step explanation:
Each day a small business owner sells 200 pizza slices for $1.50 per slice and 85 sandwiches at $3.50 each.
Let's find the revenue.
Revenue = 200($1.50) + 85($3.50)
= $300 + $297.50
Revenue per day = $597.50
Revenue for 10 days = 10($597.50) = $5975
Business expenses per day = $130
Business expenses for 10 days = 10($130) = $1300
Now let's find the profit.
Profit for 10 days = Revenue - Expense
= $5975 - $1300
= $4675
So the owner's profit for a ten-day period is $4675
The number is 200 .
10 is 5% of 200
Answer:
Check the solution below
Step-by-step explanation:
2) Given the equation
x +y =5... 1 and
x-y =3 ... 2
Add both equations
x+x = 5+3
2x = 8
x = 8/2
x = 4
Substitute x = 4 into 1:
From 1: x+y = 5
4+y= 5
y = 5-4
y = 1
3) Given
x+3y =15 ... 1
2x+7y=19 .... 2
From 2: x = 15-3y
Substitute into 2
2(15-3y)+7y = 19
30-6y+7y = 19
30+y = 19
y = 19-30
y = -11
Substitute y=-11 into x = 15-3y
x =15-3(-11)
x = 15+33
x = 48
The solution set is (48, -11)
4) given
x/2 +y/3 =0 and x+2y=1
From 1
(3x+2y)/6 = 0
3x+2y = 0.. 3
x+2y= 1... 4
From 4: x = 1-2y
Substutute
3(1-2y) +2y = 0
3-6y+2y = 0
3 -4y = 0
4y = 3
y = 3/4
Since x = 1-2y
x = 1-2(3/4)
x = 1-3/2
x= -1/2
The solution set is (-1/2, 3/4)
5) Given
5.x=1/2 and y =x +1 then solution is
We already know the vkue of x
Get y
y= x+1
y = 1/2 + 1
y = 3/2
Hence the solution set is (1/2, 3/2)
6) Given
3x +y =5 and x -3y =5
From 3; x = 5+3y
Substitute into 1;
3(5+3y)+y = 5
15+9y+y = 5
10y = 5-15
10y =-10
y = -1
Get x;
x = 5+3y
x = 5+3(-1)
x = 5-3
x = 2
Hence two solution set is (2,-1)
