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EleoNora [17]
3 years ago
10

translate the following situation into an inequality statement . Lily has $25 to spend on a charm bracelet for her sisters birth

day gift the cost of the bracelet is $12 plus $1.50 per charm
Mathematics
1 answer:
Solnce55 [7]3 years ago
8 0

Answer:

12x+1.50y \leq 25

Step-by-step explanation:

Let

x ----> the number of bracelet

y ----> the number of charm

we know that

The inequality that represent this situation is

12x+1.50y \leq 25

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A tank in the shape of a hemisphere has a radius of 15 feet. If the liquid that fills the tank has a density of 97 pounds per cu
IceJOKER [234]

Answer:

  685,653 lb

Step-by-step explanation:

The weight of the liquid can be found by multiplying its volume by its density. The volume will be that of a hemisphere, which can be found using the appropriate formula.

<h3>Hemisphere volume</h3>

The volume of a hemisphere with radius r is given by ...

  V = (2π/3)r³

When the radius is 15 ft, the volume is ...

  V = (2π/3)(15 ft)³ = 2250π ft³

<h3>Weight</h3>

The weight of the liquid in the tank is found using the density.

  W = ρV

  W = (97 lb/ft³)(2250π ft³) = 218250π lb ≈ 685,653 lb

The total weight of the liquid in the tank is about 685,653 pounds.

5 0
2 years ago
Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$
OlgaM077 [116]

hmmm let's find the distance between B and C first off.

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

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2 years ago
Write a multiplication expression using the following clues: 1. One factor is a two digit number between 1 and 10 2. One factor
Anika [276]

Answer:

3.5 x 2.5=8.75

Step-by-step explanation:

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3 years ago
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