The teacher would need 40 centimeters of tape to hang 10 student projects.
Step-by-step explanation:
Given,
Tape used to hang projects = 36 centimeters
Number of projects hanged = 9
We will find unit rate;
9 projects = 36 centimeters
1 project =
1 project = 4 centimeters
Therefore,
Tape needed to hang 10 projects = 4*10 = 40 centimeters
The teacher would need 40 centimeters of tape to hang 10 student projects.
Keywords: unit rate, multiplication
Learn more about unit rate at:
#LearnwithBrainly
Answer:
L(x) = 11 - 2x
W(x) = 8.5 - 2x
V(x) = 4x³ - 39x² + 93.5x
Step-by-step explanation:
If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.
FORMULA FOR LENGTH:
Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:
<u>L(x) = 11 - 2x</u>
FORMULA FOR WIDTH:
Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:
<u>W(x) = 8.5 - 2x </u>
FORMULA FOR VOLUME:
Volume is the product of length, width and time:
V(x) = L(x)*W(x)*H(x)
Height must be equal to the side folds which are equal to length of the side of square = x:
H(x) = x
Therefore,
V(x) = (11 - 2x)(8.5 - 2x)(x)
V(x) = (93.5 -22x -17x + 4x²)(x)
<u>V(x) = 4x³ - 39x² + 93.5x</u>
The polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i is f(x) = x3 - 3x2 + 4x - 2.
------------------------------------------------------
Define jam and bread mix
------------------------------------------------------
Let the number of jar of jam be x
Let the number of packages of bread mix be y
------------------------------------------------------
Form equations and solve
------------------------------------------------------
x + y = 8 --------------------- (1)
6x + 5y = 45 ---------------- (2)
------------------------------------------------------
Rewrite equation to make x the subject
------------------------------------------------------
x+ y = 8
x = 8 - y ----------------------------(1a)
------------------------------------------------------
Substitute (1a) into (2)
------------------------------------------------------
6(8 - y) + 5y = 45
48 - 6y + 5y = 45
y = 48 - 45
y = 3
------------------------------------------------------
Substitute y = 3 into (1) to find x
------------------------------------------------------
x + 3 = 8
x = 8 - 3
x = 5
------------------------------------------------------
Find jam and bread mix
------------------------------------------------------
Jars of Jam = x = 5
Packages of bread mix = y = 3
------------------------------------------------------
Answer: Jam = 5 ; bread mix = 3
------------------------------------------------------