Answer:
-4a + 16b -12c -12d
Step-by-step explanation:
Given: From 4a + 7b - 12c subtract 8a - 9b + 12d.
We are given two algebraic expression. We can add/subtract only the like terms.
(4a + 7b -12c) - (8a -9b +12d)
Now we have distribute the negative sign inside the second expression (8a -9b +12b). If we do, the sign changes.
4a + 7b -12c -8a + 9b -12d [Sign rule: -(-) = +; -(+) = -]
Now we can combine the like terms
= (4a - 8a) +(7b + 9b) -12c -12d
= -4a + 16b -12c -12d
You have to use PEMDAS, it stands for parenthesis, exponents, multiplication, division, addition, and subtraction. So first you have to subtract the numbers in the parenthesis which is -3.5 (9/18=1/2). Since there are no exponents or multiplying or dividing, we skip those. Now, we do 5-1/3 and we get 4 2/3. Lastly, add 4 2/3 and -3.5(which is equal to -3 1/2). We get 2 1/6=13/6=1.166666667
I hope this helps!
Answer:
The total weight of 400 pumpkin seeds is 2.24 ounces.
Step-by-step explanation:
Total number of seeds counted in the pumpkin = 400
Weight of 10 seeds = 0.056 ounces
So, the weight of 1 seed = 
= 
⇒ The weight of 1 pumpkin seed = 0.0056 ounce
Now, the weight of such 400 seeds = 400 x (weight of 1 seed)
= 400 x ( 0.0056 o.) = 2.24 ounces
Hence, the total weight of 400 pumpkin seeds is 2.24 ounces.
Answer:
volume of a cone = 2.82πinches³( nearest hundredth)
Step-by-step explanation:
given that the diameter of a cone = 2 3/8
diameter = radius x 2
radius = diameter /2
radius = 19/8/2 = 1.1875
height of the cone = 6inches
volume of the cone = ?
recall that the formulae for calculating the volume of a cone = πr² h/3
volume of a cone = πr² h/3
volume of a cone = π (1.1875)² x 6/3
volume of a cone = π1.410 x 2
volume of a cone = 2.8203πinches³
volume of a cone = 2.82πinches³( nearest hundredth)
Answer:
We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.
