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notsponge [240]
4 years ago
5

You buy 1 1/4 yards of fabric and an $8 clothing pattern. Your total cost with a 6% sales tax added is $18.55. What is the cost

per yard of the fabric?
Mathematics
1 answer:
Paraphin [41]4 years ago
8 0
First we can divide it by 106 then multiply it by 100 to get rid of the 6% sales tax, which now the cost of the stuff is $17.50. 
Next, we subtract 8 from this to represent the clothing pattern cost. Now it is $9.50.
The last stap to this is to divide it by 1 1/4 to get the final cost per yard: 
The fabric costs $7.60 per yard. Hope this helps!
You might be interested in
Find the GCF of 207c^3 and 108c^2
geniusboy [140]

Answer:  9c²

<u>Step-by-step explanation:</u>

To find the Greatest Common Factor of 207c³ and 108c², first factor them down to their primes and see what they have in common.

                207c³                     108c²

                 ∧   ∧                        ∧  ∧

             9·23  c·c·c              9·12   c·c

            ∧                            ∧  ∧

           3·3                         3·3 3·4

                                                  ∧

                                                 2·2

                   

207c³: 3·3·23  c·c·c

108c²:  2·2·3·3·3·4 c·c

GCF = 3·3 c·c

        = 9c²

7 0
4 years ago
Sarah is 53 inches tall. Sarah's brother Luke is 4 inches taller than she is.What is Luke's height in feet and inches?
Over [174]
Sarah = 53 inches

Brother = 53 + 4 = 57 inches

-----------------------------------
Convert inches to feet
-----------------------------------
57 ÷ 12 = 4 feet 9 inches

----------------------------------------------------------------------
Answer: 4 ft 9 in
----------------------------------------------------------------------
6 0
3 years ago
Find all real numbers t such that (2/3)t - 1 &lt; t + 7 ≤ -2t + 15. Give your answer as an interval.
Andrews [41]
Break up chain with AND statement:

(2/3)t - 1 < t + 7 AND <span>t + 7 ≤ -2t + 15

left side, we solve for t
</span>
<span>(2/3)t - 1 < t + 7
(2/3)t - t < 7 + 1
(-1/3)t < 8
t > -24

right side, we solve for t</span>
<span>t + 7 ≤ -2t + 15
t + 2t </span><span>≤ 15 - 7
3t </span><span>≤ 8
t </span><span>≤ 8/3

So our answer would be </span>
t > -24 AND t <span>≤ 8/3

as an interval, this is
</span>-24 < t <span>≤ 8/3
or in interval notation
(-24, 8/3]</span>
8 0
4 years ago
Evaluate <br> 4m+23+n over p+3 when m=7, n=2, and p=8<br><br> Please help guys
Pani-rosa [81]
4m + 23 + n
p + 3
Convert variables to their numbers
4(7) + 23 + 2
8 + 3
Simplify the expression
1. 28 + 23 + 2
8 + 3
2. 51 +2
8 +3
3. 53
8 + 3
4. 53
11
5. 53/11 = 4.82
8 0
3 years ago
One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 500,
Likurg_2 [28]
<span>Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500

x+3x+(x+100)=500</span>
<span>4x+(x+100)-500=0
</span><span>5x=400</span>
<span>x=80
</span><span>The first number is 80.
The second number is 240.
The third number is 180.

We can check by adding all three of those numbers together: 80+240+180 = 500
</span>
Hope this helps! If you have any questions just ask!
8 0
3 years ago
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