Answer:
Step-by-step explanation:
1. Write an expression to show how to calculate the number of buses needed. Make sure to include parenthesis to show what should be done first since order of operations is important.
(9*25)+4+(2*4)=237 (total number of people going to the museum
Each bus,excluding the driver,holds 44 people
237/44 = 5.3863636363.......
2. How many buses will be needed?
6 buses are needed
3. Why must the answer to the problem be a whole number?
Buses cannot be divided in fractions It should be or 5 buse or 6
But 5 buses are not enough
4. Why shouldn't you round the answer the usual way?
Even when rounded it is still a decimal and buses need to be counted by whole number
5. Can your answer be classified as a rational number? Explain why or why not.
6 is a rational number (whole number)
5.38636363.......is rational ( repeating decimal
Answer:
-13x+10
Step-by-step explanation:
(4x+5)(x-2)
Multiply each term in the first parenthesis by each term in the second (foil)
Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)
When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2
Step 2: Calculate product
4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like )
+4x⋅-2-5x-5⋅-2
+4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)
-8x-5x-5⋅-2
-8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)
-8x-5x+10
Step 3: collect like terms
-8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)
-13x+10 is the most simplified so it should be your final answer
Answer:
The unit rate in miles per hour = <em>1.4 miles/hr</em>
Step-by-step explanation:
Given that:
Distance walked by Boardman family = Two over five of a mile = 
Time taken by Boardman family = Two over seven of an hour = 
To find:
The unit rate in the miles per hour = ?
Solution:
Formula for the rate or the speed can be given as:
Putting the values:
So, the unit rate in miles per hour = <em>1.4 miles/hr</em>
1. since the equations equal each other
2x+19=x+7
-x -x
x+19=7
-19 -19
x= -12
sub into y= x+7
y= -12+7
y= -5
2. x+2y=-7
<span>x+y+23=0
i don't know what the second equation is equal to, i'll assume 0
2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
-39/2 -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10
3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
-5 -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17
4. 3x+y=9
<span>y=-5x+9
</span>sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
-9 -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9
Answer: commom resources good
Step-by-step explanation:
The question above signifies that I can't eliminate shoes from my list. To me, shoes are inexcludable. You can see that as my income increases, my purchases of shoes increase.
I chose common resources good because they are non-excludable (something difficult to eliminate), but can compete with other goods. This means that their availability to other people decreases when they are being used up.
Other types of goods besides common resources good are
- Private goods (products that are easily eliminated and rival)
-Club goods (excludable products but non rival)
-Public goods (unable to eliminate and non-rival)
