9514 1404 393
Answer:
11
Step-by-step explanation:
2 3/4 lb = 11/4 lb = 11×(1/4 lb)
The cook can make 11 quarter-pound burgers.
Same side interior angles are supplementary, which means together they add up to 180 degrees.
In order to find the value of angle m, subtract 180 from the supplement.
180 - 78 = 102
The value of m is 102 degrees
Answer:
Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, percent. What was the price of Caleb's groceries, before tax
Step-by-step explanation:
This is all I know~
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Good luck with your work!!~
Method:
Simultaneous equations
Explanation:
First we will need to get both equations to have the same subject, to do this we will multiply the bottom equation by 2.
1) 2a-3c=-6
2) a+2c=11 x2
Becomes
2) 2a+4c=22
Now we will make both equations equal to the same subject (2a)
1) 2a=3c-6
2) 2a=-4c+22
Because they are both equal to 2a, they are therefore equal to each other, so:
3c-6=-4c+22
7c=28
c=4
Now substitute c back into either equation to get a:
a+2c=11
a+2(4)=11
a=3
<h3>Given</h3>
- length, width, and height of a cuboid are x, x, and 2x, respectively
- the cuboid's surface area is 129.6 cm²
- dx/dt = 0.01 cm/s
<h3>Find</h3>
- dV/dt for the given conditions
<h3>Solution</h3>
The equation for surface area can be written
... A = 2(LW +H(L +W))
Substituting the given values gives an equation that we can solve for x
... 129.6 = 2(x·x +2x(x +x)) = 10x²
... x = √(129.6/10) = 3.6 . . . . . . . cm
The equation for volume can be written
... V = LWH
Substituting the given values gives an expression for volume in terms of x.
... V = x·x·2x = 2x³
Then the rate of change of volume is
... dV/dt = 6x²·dx/dt
... dV/dt = 6·(3.6 cm)²·(0.01 cm/s)
... dV/dt = 0.7776 cm³/s
