<span>A gallon of water weighs 8 1/3 lb
</span><span>1 1/5 gallon....................? lbs
</span>8 1/3 * 1 1/5
= 25/3 * 6/5
= 10
answer : <span>1 1/5 gallon of water weighs 10 lbs</span>
Answer:
8x^8/3 y^4 - The first option
Step-by-step explanation:
The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.
This means that the expression is now:
8(x^2*4/3 y^3*4/3)
First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3
The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.
So now our expression is:
8(x^8/3 y^4)
Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:
8x^8/3 y^4 - The first option.
Hope this helped!
Answer:
$2159.07
Step-by-step explanation:
The compound interest formula is used to find the balance for the $1000 investment:
A = P(1 +r/n)^(nt)
A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43
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For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...
A = 500(1 -.02) = 490.00
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The continuous compounding formula is used for the second $500 investment.
A = Pe^(rt)
A = 500e^(.008·10) = 500e^.08 = 541.64
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The total value of Albert's investments is ...
$1127.43 +490 +541.64 = $2159.07
Answer:
Step-by-step explanation:
Volume =base area* hight
The base is a right triangle so area is (18*2)/2=36/2=18
Vol =18*3 =54 ft^2
Answer:
0
Step-by-step explanation:
The slope is the difference in y values / difference in x values of the points.
For (-9, 5), and (-17, 5) slope is zero because the y-coordinates are the same.
m= (5-5)/ (-17- -9) = 0/ 8 = 0
The line has the slope 0 so is a horizontal line
