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kondor19780726 [428]
3 years ago
7

Question 5 of 6

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

B. 13 small bags and 12 large bags

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of small bags.

y is the number of large bags.

The Tuesday morning delivery consists of 25 bags

This means that x + y = 25, that is y = 25 - x

Bunyan Farm sells 3 pound and 5 pound bags of onions. Total of 99 pounds.

This means that 3x + 5y = 99

Since y = 25 - x

3x + 5(25 - x) = 99

3x + 125 - 5x = 99

-2x = -26

2x = 26

x = \frac{26}{2}

x = 13

y = 25 - x = 25 - 13 = 12

So 13 small bags and 12 large bags.

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Step-by-step explanation:

because 4x2=8

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Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?
VikaD [51]

Answer:

$54

Step-by-step explanation:

Convert 20% into decimal which is .20

$45x.20= $9

so 9 dollars was the tip. So you add the bill to the tip

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Could anybody help me out with this?
Olenka [21]

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Step-by-step explanation:

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A point P(x,y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t
Ivan

Answer:

sin t = \frac{3}{5}

cos t = -\frac{4}{5}

tan t = -\frac{3}{4}

csc t = \frac{5}{3}  

sec t = -\frac{5}{4}  

cot t = -\frac{4}{3}  

Step-by-step explanation:

In the unit circle:

  • x-coordinate of a point on the circle represents cosine the angle between the + ve part of x-axis and the terminal side which joins the center of the circle and this point
  • y-coordinate of a point on the circle represents sine the angle between + ve part of x-axis and the terminal side which joins the center of the circle and this point

In the attached figure

∵ t represents the angle between + ve part of x-axis

    and the terminal side drawn from the center of the circle to

    point P

∴ The coordinates of point P are (cos t , sin t)

∵ The coordinates of P are ( -\frac{4}{5} , \frac{3}{5} )

∴ sin t = \frac{3}{5}

∴ cos t = -\frac{4}{5}

∵ tan t = \frac{sin(t)}{cos(t)}

- Substitute the values of sin t and cos t

∴ tan t = \frac{\frac{3}{5}}{-\frac{4}{5}}

- Multiply up and down by 5 to simplify the fraction

∴ tan t = -\frac{3}{4}

∵ csc t = \frac{1}{sin(t)}

- Reciprocal the value of sin t

∴ csc t = \frac{5}{3}  

∵ sec t = \frac{1}{cos(t)}

- Reciprocal the value of cos t

∴ sec t = -\frac{5}{4}  

∵ cot t = \frac{1}{tan(t)}

- Reciprocal the value of tan t

∴ cot t = -\frac{4}{3}  

3 0
4 years ago
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