Answer:
10.1 cups left
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Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
Answer:
Add
Step-by-step explanation:
When MULTIPLY exponents with same base, you Keep the base and + ADD the exponents.
Answer:
The number of Carmel muffins is 8 and the number of lemon muffins is 12.
Step-by-step explanation:
Melvin Marshall bought a total of 20 Muffins . Some were camel-glazed muffins and some were lemon. The Carmel muffins cost $3 each while the lemons cost $2.5 . The number of carmel muffins and lemon muffins can be calculated as follows
total number of muffin = 20
Let
a = number of carmel - glazed muffins
b = number of lemon muffins
a + b = 20.............(i)
The total cost
3a + 2.50b = 54................(ii)
Combine the equations
a + b = 20.............(i)
3a + 2.50b = 54................(ii)
a = 20 - b
insert the value of a in equation (ii)
3(20 - b) + 2.50b = 54
60 - 3b + 2.50b = 54
60 - 54 = 0.5b
0.5b = 6
divide both sides by 0.5
b = 6/0.5
b = 12
Insert the value of b in equation (i)
a + b = 20.............(i)
a + 12 = 20
a = 20 - 12
a = 8
The number of Carmel muffins is 8 and the number of lemon muffins is 12.
Answer:
Step-by-step explanation:
To find equivalent fractions, we multiply the numerator and the denominator by the same number, so we need to multiply the denominator of 7 by a number that will give us 21. Since 3 multiplied by 7 gives us 21, we can find an equivalent fraction by multiplying both the numerator and denominator by 3.Oct 4, 2021
