Answer:
24 hours
Step-by-step explanation:
To answer this question, you just have to divide the total amount Mary is trying to earn, $132, by the unit rate, $5.50 per hour:
132 / 5.50 = 24
So, Mari needs to work 24 hours to earn $132
Hope this helps :)
Answer:
The first store
Step-by-step explanation:
3sweaters->$44.99
4sweaters->x
x=4×44.99/3 x=$59.98
3sweaters->$52.00
4sweaters->x
x=4×52/3 x=$69.33
first store<second store
59.98<69.33
x + 24 = first angle
x = second angle
4x = third angle
x + 24 + x + 4x = 180°
6x + 24 = 180°
6x = 180° - 24
6x = 156°
x = 156° ÷ 6
x = 26°....the second angle.
x + 24 = 26 + 24 = 50°.... the first angle.
4(26) = 104°
The largest angle is the third angle, which measures 104°.
Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³
