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Leviafan [203]
3 years ago
8

Samantha works in a chocolate factory at a conveyor belt that is 18 inches wide and moves large amounts of chocolate to packagin

g. She counts 225 chocolates in a rectangular section of the conveyor belt measuring 6.5 inches long and 18 inches wide. What is the approximate number of chocolates per square inch of the conveyor belt, rounded to the nearest hundredth?
Mathematics
1 answer:
MArishka [77]3 years ago
7 0

Answer:

1.92 chocolates per in²

Step-by-step explanation:

Given that:

Dimension of conveyor belt :

6.5 inches long and 18 inches wide (6.5in * 18in)

Area of conveyor belt = 6.5 * 18 = 117 in²

Number of chocolate = 225

Number of chocolates per square inch :

225 / 117

= 1.9230769 chocolates

= 1.92 chocolates per in²

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The ratio of oranges to apples in Helen's basket is 4:3. The basket has 12 apples in it. How many oranges are in the basket?
frez [133]

Answer:

16 oranges

Step-by-step explanation:

The ratio of oranges to apples is 4:3 which means that for every four oranges, there are 3 apples.

Since there are 12 apples in the basket, to find the number of oranges, set up a ratio.

4/3 = x/12 (x represents the number of oranges)

Cross multiply.

48 = 3x

Divide by 3.

x = 16

There are 16 oranges in the basket.

Hope that helps.

3 0
3 years ago
An obtuse triangle with area 12 has two sides of lengths 4 and 10. Find the length of the third side. (There are two answers.) (
mart [117]
This question can be solved using the Herons equation where 
A = SQRT [s*(s-a)*(s-b)*(s-c)]

A = area of the triangle
a, b and c are the sides of the triangle

s = (a+b+c)/2

Since we are given the area, we can express "s" as a function of the third side c. This can be substituted in the original equation so as to obtain an expression to solve for the third side c

s = (4+10+c)/2 = (14+c)/2

using the solver function of the calculator or MS Excel, the third side is 7.21 units
3 0
2 years ago
a hardware factory produces 3.6 •10^5 bolts in 2400 minutes. what is the factory rate of production in bolts per minute​
Ainat [17]
10^5=100,000
100,000*3.6
360,000
360,000/2400

I believe it’s 150 bolts per minute
5 0
3 years ago
Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are 2 sizes, 4 colors, 7
grandymaker [24]

Answer:

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
1.On Sunday morning, Mrs. Turner made 2 gallons of juice. How many cups of juice did she make?2. Later that night, her family dr
kap26 [50]

Answer:

1. 16 cups

2. 8 pints

Step-by-step explanation:

In this question, we are asked to calculate the amount of cups of juice made from a certain gallon and the amount left in pints after some certain amount of the juice was consumed.

To solve this problem, we need to know the amount of cups present in a gallon of juice.

Mathematically, there are 16 cups present in a gallon. Now since she made two gallons, the amount of cups present is thus 16 * 2 = 32 cups of juice

2. 16 cups was consumed by the family. The amount of cups left is thus 32 - 16 = 16 cups of juice

We need our answer in pints however.

Mathematically, 1 pint is composed of 2 cups.

This means 16 cups would be composed of 16/2 pints = 8 pints

4 0
3 years ago
Read 2 more answers
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