Answer and Step-by-step explanation:
Let
Number of chocolate chip cookies = x
Number of oatmeal brownie cookies = y
Bake chocolate chip cookies up to 20 dozen = x≤ 20
Bake oatmeal brownies up to 40 dozen= y≤40
Total cookies = x + y ≤ 50
Number of oatmeal brownie will be no more than three times the number of chocolate chip= y≤3x
From the inequality:
X + y=50
y = 3x
By putting the value of y, we get
x + 3x = 50
4x = 50
X = 12.5
By putting the value of x=12.5 in equation y = 3x, we get
Y = 3(12.5)
= 37.5
Craig should make 12.5 dozen chocolate chip and 37.5 dozen oatmeal brownies in order to make more money.
Answer:
13 sides
Step-by-step explanation:
Sum of interior angles = (n - 2) 180°
(n - 2)*180 = 1980
n-2 = 11
n = 13
The total number of games played are 14 games played in total
Hoped i helped :)
Answer:
A= 1
Step-by-step explanation:
Distribute
3
(
− 6
) = −
5
− 1 ( 7 + 3
)
3a - 18 = -5a - 1 ( 7 + 3a )
Rearrange terms
3
− 1
8 = −
5
−
1 ( 3
+ 7 )
3a - 18 = -5a - 3a - 7
Combine like terms
3
− 1
8 =
−5
− 3
− 7
3a - 18 = -8a - 7
Add 1
8 to both sides of the equation
3a - 18 = -8a - 7
3
− 1
8 + 1
8 = −
8
− 7 + 1
8
Simplify
<u>Add the numbers</u>
3
− 1
8 + 1
8 = −
8
− 7 + 1
8
3a = -8a - 7 + 18
<u>Add the numbers again
</u>
3
= −
8
−
7 + 1
8
3a = -8a + 11
Add 8
to both sides of the equation
3a = -8a + 11
3
+ 8
= −
8
+ 1
1 + 8
Simplify
<u>Combine like terms</u>
3
+ 8
= −
8
+ 1
1 + 8
1
1
= −
8
+ 1
1 + 8
<u>Combine like terms again</u>
1
1
= −
8
+ 1
1 + 8
11a = 11
Divide both sides of the equation by the same term
11a = 11
1
1
/
1
1 = 1
1 / 1
1
Simplify
<u>Cancel terms that are in both the numerator and denominator</u>
1
1
/
1
1 = 1
1 / 1
1
a = 11/11
<u>Divide the numbers</u>
a = 11/11
a = 1
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