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kari74 [83]
3 years ago
6

1. At the hardware store, you purchased a box of nails originally worth $17.  You had a coupon that took off 20% from the nails.

 Sales tax is 6%.  What is the total cost for the nails?  
2. Suppose we are at a restaurant and have ordered $29.31 worth of food and $9.72 worth of beverages.  The sales tax rate is 6% and we wish to leave a 20% tip.  How much is the total we will pay for this meal including tip?  
Mathematics
2 answers:
Alex73 [517]3 years ago
5 0
1. The total cost for the nails is $12.784 rounded to $12.78.

2. The total cost of the meal including tip is $49.65.
Zinaida [17]3 years ago
3 0
1.) You would multiply $17 by 20% to get the discounted price which would be $3.40. Next, you would add $3.40 and 6% to get $3.60 which would be the total cost of the nails.
2.) You would add $29.31 and $9.72 to get $39.03. Next, you would need add the 6% tax so it would become $41.73 and then, add the 20% tip to get the total cost of the food which would be $49.64.
Hope This Helps!
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Mademuasel [1]

Answer:

d = 36°

Step-by-step explanation:

If ∠1 ≅ ∠2, thia means both angles are the same.

Given m∠1 = 3d + 2 and m∠KHG = 70

Substitute m∠KHG = 70 = m<1 into the expression to get d

m<1 = 180-m∠KHG

m<1 = 180-70

m<1 = 110

110 = 3d+2

subtarct 2 from both sides

110-2 = 3d+2-2

108 = 3d

rearranging

3d = 108

Divided both sides by 3;

3d/3 = 108/3

d = 36°

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there are 6 sides to a hexagon

360/6 = 60 degrees

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4 years ago
Snow is melting from the sun's rays. if its hight changes by -3/17 every hour, how much change will there be in 6 hours?
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4 0
3 years ago
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Volgvan

Answer:

Step-by-step explanation:

     

7 0
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2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.
Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

(x-h)^{2} +(y-k)^{2} =r^{2}

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

(x+1)^{2} +(y-2)^{2} =36

the Center is: (-1,2)

and the radius is: \sqrt{36} = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

(x+1)^{2} +(y-2)^{2} =36

(x+1)^{2} +(2-2)^{2} =36

(x+1)^{2} +(0)^{2} =36

(x+1)^{2}  =36

x+1 =±\sqrt{36}

x=6-1    AND    x=-6-1

x=5          AND    x=-7

  • The points are A(5,2)  and  B(-7,2)

second sub x= -1 in the equation to find the values for y:

(x+1)^{2} +(y-2)^{2} =36

(-1+1)^{2} +(y-2)^{2} =36

(0)^{2} +(y-2)^{2} =36

(y-2)^{2} =36

y-2=±\sqrt{36}

y=6+2    AND    y=-6+2

y=8          AND    y=-4

  • The points are D(-1,8)  and  E(-1,-4)      

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0
3 years ago
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