3/8=.375
3 3/4=3.75
3.75 / 0.375 = 10
The shelf can support 10 books
The answer is 37. Hope this helps.
The GCF is 7 which will give you 7(4n+6n)
explanation: 7 goes into 28 times and 7 goes into 42 6 times. and
To determine if a number is divisible by 7, take the last digit off the number, double it and subtract the doubled number from the remaining number. If the result is evenly divisible by 7 (e.g. 14, 7, 0, -7, etc.), then the number is divisible by seven.
So 22.5 per barrel
so 22.5
x represents the number of 22.5 barrels
y represents the number of 35 barrels
so
x+y=1250
then find the total cost
1250 barrels
27.5 per so mutiply by 1250 and get 34375 total cost
22.5x+35y=34375
we have 2 senctances
x+y=1250
22.5x+35y=34375
elimination
mulitply first equation by -35 to clear y
-35x-35y=-43750
add to second equation
-35x-35y=-43750
<u>22.5x+35y=34375 +</u>
-12.5x+0y=-9375
-12.5x=-9375
multiply -1
12.5x=9375
divie both sides by 12.5
x=750
subsitute
x+y=1250
750+y=1250
subtract 750
y=500
750 barrells of the 22.5 oil should be included and
500 barrells of the 35 oil should be included
Answer:
The answer is 4r² – 9
Denise answer is correct.
Step-by-step explanation:
One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method
Using the FOIL method (Used for multiplying binomials)
F stands for first
O stands for outer
I stands for inner
L stands for last
In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.
So, for the equation (2r – 3)(2r + 3)
First : (2r)(2r) = 4r²
Outer : (2r)(+3) = 6r
Inner : (–3)(2r) = – 6r
Last : (–3)(+3) = – 9
Adding the results we get
4r² + 6r – 6r – 9 (+6r and – 6r cancels out)
= 4r² – 9
∴ (2r – 3)(2r + 3) = 4r² – 9
Hence, Denise answer is correct