Answer:
A If y³ = 27, the value of y is 3. B If y³ = 64, the value of y is 4. C If y³ = 1, the value of y is 1
Step-by-step explanation:
Which statements are true? Mark all that apply. A If y³ = 27, the value of y is 3. B If y³ = 64, the value of y is 4. C If y³ = 1, the value of y is 1. D If y³ = 16, the value of y is 2.
Solution:
a) y³ = 27
To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:
∛y³ = ∛27
y = 3
Option A is correct
b) y³ = 64
To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:
∛y³ = ∛64
y = 4
Option B is correct
c) y³ = 1
To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:
∛y³ = ∛1
y = 1
Option C is correct
d) y³ = 16
To solve this, we have to take the cube root at both sides of the equation and then simplify, that is:
∛y³ = ∛16
y = 2.52
Option D is wrong
The answer is 18, six sides and each side is 3 feet so:
6 x 3 = 18
Answer: Length = 10cm
Width = 6.5cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3
Therefore area of a rectangle = length × width
x(2x - 3) = 65
2x² - 3x = 65
2x² - 3x - 65 = 0
2x² + 10x - 13x - 65 = 0
2x(x + 5) - 13(x + 5) = 0
(2x - 13)(x + 5) = 0
2x - 13 = 0
2x = 13
x = 13/2
x = 6.5
Width = 6.5cm
Length = 2x - 3
= 2(6.5) - 3
= 13 - 3
= 10cm
Therefore, the length of the rectangle is 10cm and the width is 6.5cm.
Answer:
80 gummy bears are in 4 servings.
Step-by-step explanation:
2 servings=40 gummy bears
3 servings=60 gummy bears
<u>40</u>+20=<u>60</u>
Add 20 gummy bears for every serving.
5 servings=100 gummy bears
100-20=<u>80 gummy bears are in 4 servings</u>
OR you can also do:
40÷2=20 gummy bears are in each serving
So, 4x20=<u>80 gummy bears are in 4 servings</u>