The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000
Let c represent the number of cookies and let b represent the number of brownies.
Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:
c + b ≥ 125 (1)
Also, Genie has a total of 2,000 grams of flour, hence:
8c + 12b ≤ 2000 (2)
Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000
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Answer:
10 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be hypotenuse, then
h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
h = 
= 10
The hypotenuse is 10 ft
Answer:
<h2>
y = -4/9</h2>
Step-by-step explanation:
Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;
3/2 x − 6 = −9/2 x + 21,
Cross multiplying;
3(2x+21) = -9(2x-6)
6x+63 = -18x+54
collecting the like terms;
6x+18x = 54-63
24x = -9
x = -9/24
x = -3/8
To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;
y = 3/2x-6
y = 3/{2(-3/8)-6}
y = 3/{(-3/4-6)}
y = 3/{(-3-24)/4}
y = 3/(-27/4)
y = 3 * -4/27
y = -4/9
Hence, the value of y is -4/9
What is the interquartile range of this data set?<br>
2,5,9,11,18, 30, 42, 48, 55, 73, 81
Lubov Fominskaja [6]
Answer:
46
Step-by-step explanation:
55-9=46
2=min
9=Lq
30=median
55= Uq
81= max
