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topjm [15]
3 years ago
6

Flour costs $0.80 per pound and sugar costs $0.50 per pound. An order of flour and sugar weighs 15 pounds and costs $9.00. Make

a system of equations?
Please help I really need your help.
Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

Answer: x+y=15

0.80x+0.50y=9


Step-by-step explanation:

Let x be the amount of flour and y be the amount of sugar ordered.

Since, the order of flour and sugar weighs 15 pounds.

Therefore, x+y=15

Also, Flour costs $0.80 per pound and sugar costs $0.50 per pound.

The cost of ordered flour=$0.80x

The cost of ordered sugar=$0.50y

Now, the total cost of the order= 0.80x+0.50y=9

Hence, for the given situation the system of equations is:-

x+y=15

0.80x+0.50y=9



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An angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2) What is the exact value of cos(120)
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The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

<h3>Solving trigonometry identity</h3>

If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;

Cos120 = cos(90 + 30)

Using the cosine rule of addition

cos(90 + 30) = cos90cos30 - sin90sin30

cos(90 + 30) = 0(√3/2) - 1(0.5)

cos(90 + 30) = 0 - 0.5

cos(90 + 30) = 0.5

Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

Learn more on unit circle here: brainly.com/question/23989157

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2 years ago
What is 2/3 divided by 4/5​
Pani-rosa [81]
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3 years ago
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madam [21]

Answer:

The volume of this cylinder is 9184.5 cubic feet.

Step-by-step explanation:

The area of a circle is \pi r^2 and the volume of a cylinder with that base is just that area times the height:

V=\pi r^2\times h

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

r=30\times0.5=15

Next, you can use that radius to calculate the area of the base:

A=3.14\times15^2\\A=3.14\times225\\A=706.5

Finally, multiply that by the height to find the volume of the cylinder:

V=706.5\times13\\V=9184.5

The volume of this cylinder is 9184.5 cubic feet.

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