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2 years ago

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Question number 29 you work in the shipping department of an organic food company and need to calculate the net weight of a jar

of raspberry preserves. the jar is a cylinder. it has an inside diameter of 1.5 inches and an inside height of 4.75 inches. the raspberry preserves weigh 0.53 ounces per cubic inch. what is the net weight, rounded to the nearest hundredth, of the jar of raspberry preserves

1 answer:

umka2103 [35]2 years ago

5 0

The net weight of a jar of raspberry preserves will be 4.45 ounces.

The volume of the cylinder can be calculated as the product of the base of the cylinder and the height of cylinder.

The volume of cylinder= base of cylinder * height of the cylinder

⇒ volume of cylinder = πd²*h/4

Here, given that

the inside diameter of the cylinder is 1.5 inches.

d= 1.5 inches

the inside height of the cylinder is 4.75 inches.

h= 4.75 inches

putting these above values for calculating the volume of the cylinder

Volume =V = πd²*h/4

⇒ V= π*(1.5)²*4.75/4

⇒V = 8.40 cube inches

Given that the raspberry preserve weighs 0.53 ounces per one cubic.

for one cubic the weight is 0.53 ounces

for 8.40 cubic the weight will be 8.40*0.53= 4.45 ounces

Therefore The net weight of a jar of raspberry preserves will be 4.45 ounces.

Learn more about volume of the cylinder

here: brainly.com/question/9554871

#SPJ10

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You want to find the area of the front of a house, whose shape is a triangle on top of a rectangle with a width of 12. The trian

AlladinOne [14]

There are two shapes

rectangle and triangle

Rectangle area = Length × breadth

Triangle area = ( 1 / 2 ) × height × base

L = 12

W = 5

Area = 60

Height = 14

base = width of rectangle

base = 12

( 1 / 2 ) ( 12 ) ( 14 )

( 14 ) ( 6 )

84

Total area = 60 + 84

= 144

Hope helps!

5 0

4 years ago

What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16

alisha [4.7K]

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12

3 0

4 years ago

A rectangular piece of plywood has a diagonal that measures three times the width. The length of the plywood is three feet more

Karolina [17]

Answer:

The length of diagonal is 4.922 feet.

Step-by-step explanation:

Let the width be = w

Let the diagonal be = d

Let the length be = l

Given is that the diagonal measures three times the width, this gives: $d=3w$

Also given is the length of the plywood is three feet more than the width. This is : $l=x+3$

Now, in terms of x we get:

Width = x

Length = (x+3)

Length of Diagonal = 3x

Now applying Pythagorean Theorem

$a^{2}+b^{2}=c^{2}$

$x^{2}+(x+3)^{2}=(3x)^{2}$

$x^{2}+x^{2}+6x+9=9x^{2}$

Solving this we get,

$-7x^{2}+6x+9=0$

We will use quadratic formula to solve this and get the answer,

x = 3/7 +/- (12√2) / -14

x = 1.64075 or x = -0.783612(neglect this negative value)

So, x = 1.64075 feet

Now length of diagonal is 3x = 3*1.64075 = 4.922 feet

So, length of diagonal is 4.922 feet.

3 0

3 years ago

erma4kov [3.2K]

Hello again!

Answer is 60%

————————

so, for this one you first figure out how many study French.

2/9 of 270 is 60 (simple method: 1/9 is 270 divided by 9, which is 30. So 2/9 is 1/9 multiplied by 2, which is 60).
60 are doing French.

Then use this in the ratio of French to Spanish (3:7) and you have 3 and 60 on the same side. You have to multiply 3 by 20 to get to 60 (or divide 60 by 20 to get 3).
So the number you use to do the same to the other side of the ratio is 20.

7 multiplied by 20 (or 7 multiplied by 10, then multiply that by 2) to get 140.
140 are doing Spanish.

Then take the French and Spanish from the big total and you get 270-140-60=70
70 are doing German.

Of these 70, 42 are boys. 70-42 gives 28 girls. 42/70 is the fraction of boys doing German. This is the same as 6/10 and to get a percentage you multiply the fraction by 10 so that the bottom of it is out of 100 (so that’s 60/100).

And 60/100 is the same as 60%.

So your answer is 60%

6 0

3 years ago

Need this ASAP!!! 100 points!!

AlekseyPX

Answer:

yeah same

Step-by-step explanation:

7 0

3 years ago