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wariber [46]
3 years ago
9

If a yard of fabric cost $12.99 then how much will 2 feet cost

Mathematics
1 answer:
Ratling [72]3 years ago
5 0
We know that 1 ft= 1/3 yd.

2 ft* (1/3 yd/ 1 ft)* ($12.99/ 1 yd)= $8.66
(Note that the units cancel out so you get the answer)

2 ft of fabric will cost $8.66~
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Find the missing side of the triangle. Round your answer to the nearest tenth if necessary.
Soloha48 [4]

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

8^2+x^2=10^2

64+x^2=100

x^2=100-64

x=\sqrt{36

x=6 km

5 0
3 years ago
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Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms
miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

  • Break the given sequence into two parts .
  • Notice the terms at gap of one term beginning from the first term .They are like \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} . Next term is obtained by multiplying half to the previous term .
  • Notice the terms beginning from 2nd term , 4,7,10,13 . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]

Notice the term \dfrac{1}{2^{25}} will be too small , so we can neglect it and take its approximation as 0 .

\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]

\\\implies \boxed{ S_1 \approx 1 }

\rule{200}2

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

\implies S_2=\dfrac{n}{2}[2a + (n-1)d]

Substitute ,

\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}

Hence sum = 908 + 1 = 909

7 0
3 years ago
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Nesterboy [21]

One is 17.22 and the other is simply 2.

3 0
3 years ago
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A clothing store offers a free T-shirt when a customer spends $75 or more. Lyndon has already spent $36. 95. Which statement bes
Allisa [31]

Lyndon should spend $38.05 or more to get a free T-shirt.

We have to find the statement best represents all of the amounts he can spend to get a free T-shirt

Suppose that the amount Lyndon get free T shirt is x.

Given that a clothing store offers a free T-shirt when a customer spends $75 or more.

Lyndon has already spent $36.95.

x+36.95\geq 75

To find the value of x,

Solve above inequality

x\geq 75-36.95

x\geq 38.05

Therefore,

Lyndon should spend $38.05 or more to get a free T-shirt

To learn more about the amounts he can spend to get a free visit:

brainly.com/question/25537936

5 0
3 years ago
-4x+y=9<br><br> 4x+9y=17 help me♥️!!!
jekas [21]

Answer:

-8/5, 13/5

Step-by-step explanation:

Use the process of elimination to find out the y and plug the y in to get the x.

3 0
3 years ago
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