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ser-zykov [4K]
2 years ago
15

Leo, Donnie, and micheal decide to order some pizzas. Leo pays for 1/4 of the order and Donnie and micheal paid the rest in the

ratio of 4:5. If micheal paid $4 more than Donnie, how much did the pizzas cost?
Mathematics
1 answer:
GREYUIT [131]2 years ago
5 0

Answer:

45

Step-by-step explanation:

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Determine 30% of 70.<br><br><br> using double number line
Vadim26 [7]

Answer:

100%     -     70

---------------------

30%      -      x

100x=70*30\\100x=2100\\x=\frac{2100}{100}\\x=21

3 0
3 years ago
X + 15y = 45 / x + 10y = 30 solve for x and y
AleksAgata [21]

Answer:

25y = 45/1x = 30

7 0
2 years ago
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Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
6y + 2 + 3 + 14y
hichkok12 [17]

Answer:

20y + 5

Step-by-step explanation:

6y + 2 + 3 + 14y

20y + 2 + 3

20y + 5

Have an amazing day!

PLEASE MARK BRAINLIEST!

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VARVARA [1.3K]

y = -7(-13)

=> y = -7 × (-13)

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