Answer:
<h2>
He is going to pay 40*900= $36000 for the reservation</h2>
Step-by-step explanation:
Step one:
We are told that they need at least 50 total rooms.
Joe has paid for 16 rooms since Joe can only reserve rooms in block, and a block has 8 rooms, then Joe has paid for 2 blocks.
There is a deficit of 50-16= 34rooms
Required
The Number of blocks Joe need to reserve in addition is 34/8
=4.25
The blocks can not be in decimal, so we need to approximate, which is 5 blocks
Therefore Joe is going to reserve 5*8= 40 rooms
<u>He is going to pay 40*900= $36000 for the reservation</u>
Answer:
Yes, they are equivalent.
Step-by-step explanation:
- To see if they're equivalent, you have to solve them. Start with the first one. Steps are below.
- Apply the distributed property: 8 + 12
- 8 + 12 = 20
For second expression:
- 4(2) = 4 × 2 = 8
- 4(3) = 4 × 3 = 12
- Put them together: 8 + 12
- 8 + 12 = 20
Making a conclusion:
Because they both have the same answer, they are equivalent expressions.
I hope this helps!
Answer:
y=7/3x²-13/3x+2
Step-by-step explanation:
<u>Determine the value of c:</u>
y=ax²+bx+c
2=a(0)²+b(0)+c
2=c
<u>Substitute (1,0) into the quadratic and create an equation with a and b:</u>
y=ax²+bx+2
0=a(1)²+b(1)+2
0=a+b+2
-2=a+b
<u>Do the same with (3,10) to get a second equation:</u>
y=ax²+bx+2
10=a(3)²+b(3)+2
10=9a+3b+2
8=9a+3b
<u>Set the two equations equal to each other and solve for a and b:</u>
-2=a+b
8=9a+3b
<u>Multiply first equation by 3 and eliminate b to find a:</u>
-6=3a+3b
- (8=9a+3b)
_______
-14=-6a
14/6=a
7/3=a
<u>Substitute 7/3=a into the first equation:</u>
-2=7/3+b
-2-(7/3)=b
-13/3=b
<u>Final equation:</u>
y=7/3x²-13/3x+2
See the graph for a visual representation
Answer:
78 inches
Step-by-step explanation:
2 yards = 6 feet = 72 inches because 6 x 12 = 72 then, 1/2 of a foot = 6 inches. Then 72 + 6 inches = 78 inches :)
Answer:
B
Step-by-step explanation:
They both equal 121