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erik [133]
3 years ago
13

6. Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard. How much did Alice pay fo

r the cloth if the sales tax was 5 percent? A. $5.79 B. $2.02 C. $6.08 D. $5.82
Mathematics
1 answer:
White raven [17]3 years ago
6 0
A: C. $6.08

$1.93 per yard x 3 yards = $5.79 before tax

5% sales tax means that there will be 0.05 added to the price of the product 

$5.79 x 1.05 = 6.0795 = $6.08
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In an orchestra the ratio of trombones to violas is 1 to 3.
ICE Princess25 [194]
The proportion would be 1/3 and x/9. Cross multiplication creates 3x=9. Divide both sided by three, and there are 3 trombones in the orchestra.
5 0
3 years ago
Read 2 more answers
For what values of y:is the value of the fraction 7−2y /6 greater than the value of the fraction 3y−7 /12 ?
Fynjy0 [20]
Let's start by plugging in 1 for y. You get 7-2/6, which is 5/6. The other equation is 3-7/12, which equals -1/3. Now let's try 10. You get 7-2(10)/6, which is -13/6. The other equation is 3(10)-7/12, which is 23/12, and is larger!

1 is a value of y that could work!

Hope this helps!! :)
8 0
3 years ago
Read 2 more answers
Please help. Thank you. :)
adelina 88 [10]
Hello!

To find the lateral area you use the equation

\pi r \sqrt{ h^{2} + r^{2} }

You put in the values you know and you get 829.4

To find the surface area you use the equation

\pi r(r+ \sqrt{ h^{2} + r^{2} }

Put in the values you know and you get 1209.5

The answer is A

Hope this helps!
5 0
3 years ago
Hi<br><br> 1-5 already done!!!!!!!!!!
Scilla [17]

Answer:

According to tangents secant segments theorem,

11) x(16+x) = (x + 6)^2

x (16+x) = (x + 6)^2

16x + x^2 = x^2 + 2(6)(x) + 6^2

16x + x^2 = x^2 + 12x + 36

16x - 12x + x^2 - x^2 = 36

4x = 36

x = 36/4

x = 4

13) x(x + 5) = (x + 2)^2

x^2 + 5x = x^2 + 2x 2(2)(x) + 2^2

x^2 + 5x = x^2 + 4x + 4

x^2 -x^2 + 5x - 4x = 4

x = 4

14) x + 8( x + 8 + 32) = (3x) ^2

x + 8(x + 40) = 9x^2

x(x + 8) + 40(x + 8) = 9x^2

x^2 + 8x + 40x + 320 = 9x^2

x^2 + 48x + 320 =9x^2

48x + 320 = 9x^2 - x^2

48x + 320 = 8x^2

Dividing the whole eq. by 8,

6x = 40 = x^2

0 = x^2 - 6x - 40

0 = x^2 - 10x + 4x - 40

0 = x(x - 10) + 4(x - 10)

x - 10 = 0 OR x + 4 = 0

x = 10 OR x = - 4

length cannot be negative, so,

x = 10

15) (x + 3) ( x + 3 + 15) = (2x) ^2

(x + 3) (x + 18) = 4x^2

x(x + 18) + 3(x + 18) = 4x^2

x^2 + 18x + 3x + 54 = 4x^2

x^2 + 21x + 54 = 4x^2

0 = 4x^2 - x^2 - 21x - 54

0 = 3x^2 - 21x - 54

Dividing the whole eq. by 3,

x^2 - 7x - 18 = 0

x^2 - 7x - 18 = 0

x^2 - 9x + 2x - 18 = 0

x(x - 9) + 2 (x - 9)

x + 2 = 0 Or x - 9 = 0

x = -2 or x = 9

length cannot be negative,so,

x = 9

3 0
3 years ago
four cards numbered 1, 5, 8, and 9 are placed in a bag. A card is drawn at random and then replaced. Then a card is drawn at ran
Vadim26 [7]

Answer:

1/16

Step-by-step explanation:

Four cards numbered (1, 5, 8,9)

Given the sample space S= 4

1.The first selection with replacement

Probability of picking a 9= 1/4

2. Second selection, probability of picking a 9= 1/4

Hence the probability that both cards drawn have the number 9.

Is = (1/4)*(1/4)= 1/16

6 0
3 years ago
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