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lorasvet [3.4K]
3 years ago
11

if a unit price label has a unit price of 15.5 cents per ounce how much is the total price for 24 ounce package?

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0
Multiply cents by ounces
15.5 cents * 24 ounces= 372 cents

Change to dollars. Divide by 100 cents in a dollar
372 cents ÷ 100 cents in a dollar= $3.72

The total price is $3.72
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2x+1=5x-8 Solving Equations with Many or No Solutions
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Hello!

\large\boxed{x = 3}

2x + 1 = 5x - 8

Solve by subtracting both sides by 2x:

2x - 2x + 1 = 5x - 2x - 8

1 = 3x - 8

Add 8 to both sides:

1 + 8 = 3x - 8 + 8

9 = 3x

Divide both sides by 3:

9/3 = 3x/3

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2 years ago
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1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m
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1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m².

a = 51 m, b = 37 m, c = 20 m

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Area of triangle:

A=\sqrt{p(p-a)(p-b)(p-c)}\\\\A=\sqrt{54(54-51)(54-37)(54-20)}\\\\A=\sqrt{54\cdot3\cdot17\cdot34}\\\\A=\sqrt{9\cdot2\cdot3\cdot3\cdot17\cdot17\cdot2}\\\\A=3\cdot2\cdot3\cdot17\\\\A=306\,m^2

Rate:  ₹ 3 per m².

Cost:  ₹ 3•306 = ₹ 918

2. Find the area of the isosceles triangle whose perimeter is 11 cm and the base is 5 cm.

a = 5 cm

a+2b = 11 cm  ⇒  2b = 6 cm   ⇒  b = 3 cm

p = 11:2 = 5.5

A=\sqrt{5.5(5.5-3)^2(5.5-5)}\\\\ A=\sqrt{5.5\cdot(2.5)^2\cdot0.5}\\\\ A=\sqrt{11\cdot0.5\cdot(2.5)^2\cdot0.5}\\\\A=0.5\cdot2.5\cdot\sqrt{11}\\\\A=1.25\sqrt{11}\,cm^2\approx4.146\,cm^2

3. Find the area of the equilateral triangle whose each side is 8 cm.

a = b = c = 8 cm

p = (8•3):2 = 12 cm

A=\sqrt{12(12-8)^3}\\\\ A=\sqrt{12\cdot4^3}\\\\ A=\sqrt{3\cdot4\cdot4\cdot4^2}\\\\A=4\cdot4\cdot\sqrt{3}\\\\A=16\sqrt3\ cm^2\approx27.713\ cm^2

4. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

a = 2x

b = 3x

2x + 2•3x = 32 cm  ⇒ 8x = 32 cm   ⇒  x = 4 cm  ⇒ a = 8 cm, b = 12 cm

p = 32:2 = 16 cm

A=\sqrt{16(16-8)(16-12)^2}\\\\ A=\sqrt{16\cdot8\cdot4^2}\\\\ A=\sqrt{2\cdot8\cdot8\cdot4^2}\\\\ A=8\cdot4\cdot\sqrt2\\\\ A=32\sqrt2\ cm^2\approx45.2548\ cm^2

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Describe proportional relationships
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Step-by-step explanation:

proportional relationships are relationships between two variables where there are ratios equivalent. another way to think about them is that in a proportional relationship that one variable is always constant value times the other that constant is known as the constant of proportionality

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Answer:

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Answer:

y=4

Step-by-step explanation:

From the graph we can see that-

when, x=-3 ,  y=4

That is , the graph passes through   (-3 , 4)

So,

for  x=-3 ,

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So, the answer is    y=4

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