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docker41 [41]
3 years ago
10

A pack of cinnamon scented pencils sells for $4.00. What is the sales tax rate of the total cost of the pencils is $4.32

Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0
To get the answer we can use proportion. We know that 4$ its 100% and 4.32 its 100% + taxes.
4$ ---------- 100%
4.32 -------- x
crossmultiply now
4x=4.32*100%
4x=432%     /:4
x=108%
We know that 4.32 its 100% + taxes=108% so to get taxes we have to subtract 108-100.
108%-100%=8% - its the answer.
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Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 23-1 inches. She pl
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Answer:

D. 4(2x² + 4x - 6); 130.0 inches

Step-by-step explanation:

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?

2x2+4x−6; 22.0 inches

2x2+4x−6; 32.5 inches

4(2x2+4x−6;) 88.0 inches

4(2x2+4x−6;) 130.0 inches

Perimeter of a square = 4 * side length

1- First square pillow

length = 2x²+1 in

Perimeter of first pillow = 4 * (2x²+1) in

Second square pillow

length = 4x-7 in

Perimeter of second pillow = 4(4x-7) in

Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow

Total ribbon length required = 4(2x²+1) + 4(4x-7)

Factorise

4 is the common factor

=4(2x²+1)+(4x-7)

=4(2x²+1+4x-7)

=4(2x²+4x-6)

Total ribbon length required=4(2x²+4x-6)

If x=3.5

Total ribbon length required=4(2x²+4x-6)

=4{2(3.5)²+4(3.5)-6}

=4{2(12.25)+14-6)

=4(24.5+14-6)

=4(32.5)

=130.0 inches

6 0
3 years ago
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3 years ago
The daily sales at a convenience store produce a normal distribution with a mean of $1,250 and a standard deviation of $125. The
timama [110]

Answer:

0.6844 is the required probability.        

Step-by-step explanation:

We are given the following information in the question:

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Standard Deviation, σ = $125

We are given that the distribution of daily sales is a bell like shaped distribution that is a normal distribution.

Formula:

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0.6844 is the probability that sales on a given day at this store are less than $1,310.

4 0
3 years ago
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