Answer:
The family's average rate of travel for the day was 59.0 MPH.
Step-by-step explanation:
From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.
There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5
So, 6.5 hours and a total distance of 383.5 miles.
Velocity (MPH) = Distance (in miles) / Time (in hours)
MPH means Miles Per Hour
Variables:
Velocity (MPH) = x
Distance (in miles) = 383.5
Time (in hours) = 6.5
Plug in the variables into the formula
x = 383.5 / 6.5
Divide
x = 59.0 MPH
16: -7(5)= -35 ( REMEMBER THE MOUTH EATS THE BIGGEST NUMBER!)
-6(-6)= 36 therefore 36 is greater than -35
18: they are exactly the same because in multiplication with inters it matters when the signs change. so 3(-6) = -18 ad -3(6)= -18 then -18=-18
20: Same as 18 where division has the same rules. if 8x5=40 then 40/8=5
-40/8=-5 and 40/(-8)=-5 then -5=-5
answers:
Let's first establish what we already know for this problem.
x = total number of hotdogs sold
y = total profit from total sales of hotdogs
Let's also establish the other equations which we will require in order to solve this problem.
Equation No. 1 -
Profit for 40 hotdogs = $90 profit
Equation No. 2 -
Profit for 80 hotdogs = $210 profit
STEP-BY-STEP SOLUTION
From this, we can use the formula y = mx + b & substitute the values for x & y from one of the two previous equations into the formula in order to obtain the values of m & b for the final equation. Here is an example of the working out as displayed below:
Firstly, using the first or second equation, we make either m or b the subject. Here I have used the first equation and made m the subject:
Equation No. 1 -
y = mx + b
90 = m ( 40 ) + b
40m = 90 - b
m = ( 90 - b ) / 40
Now, make b the subject in the second equation as displayed below:
Equation No. 2 -
y = mx + b
210 = m ( 80 ) + b
210 = 80m + b
b = 210 - 80m
Then, substitute m from the first equation into the second equation.
Equation No. 2 -
b = 210 - 80m
b = 210 - 80 [ ( 90 - b ) / 40 ]
b = 210 - [ 80 ( 90 - b ) / 40 ]
b = 210 - 2 ( 90 - b )
b = 210 - 180 - 2b
b - 2b = 30
- b = 30
b = - 30
Now, substitute b from the second equation into the first equation.
Equation No. 1 -
m = ( 90 - b ) / 40
m = ( 90 - ( - 30 ) / 40
m = ( 90 + 30 ) / 40
m = 120 / 40
m = 3
Through this, we have established that:
m = 3
b = - 30
Therefore, the final equation to model the final profit, y, based on the number of hotdogs sold, x, is as follows:
y = mx + b
y = ( 3 )x + ( - 30 )
ANSWER:
y = 3x - 30
Answer:
<em>Each classroom received 120 gifts and the hospital received 12 gifts</em>
Step-by-step explanation:
<u>Division As Evenly Distribution</u>
The first concept we manage when learning about divisions is how to distribute an amount N among m elements such as everyone receives the same amount.
If the nature of the problem allows distributing decimal portions of N, then every receiver gets exactly the same amount N/m.
But things are different when the division must be an integer number. For example, if we wanted to divide gifts, we cannot give partial gifts. So the correct division is a matter of the study of integer numbers.
If N is divisible by m, i.e. there is no remainder in the division, then each element will receive N/m gifts. But what if they are not divisible? We must divide and take the integer part of the division and discard the remainder
We want to divide 2,292 gifts to the school, where there are 19 classrooms. If we divide 2,292/19 we get 120 and a remainder of 12.
Answer. Each classroom received 120 gifts and the hospital received 12 gifts
Answer:
One market vendor has 70, and the other has 50.
Step-by-step explanation:
Hope I helped!
