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NARA [144]
3 years ago
14

A tailor used 6 2/3 yards of fabric to make hats. The amount of fabric needed to make each hat is 5/6 yard. How many complete ha

ts did the tailor make?
Mathematics
1 answer:
vfiekz [6]3 years ago
6 0

Answer: The tailor made 8 complete hats

Step-by-step explanation:

Amount of fabrics available to make hat = 6 2/3 yards

1 hat requires = 5/6 yards

Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat

=(6 2/3) / (5/6)

(20/3) / (5/6)

20/3 x 6/5 = cancelling out, we are left with

4x2= 8 hats

or

(20/3) / (5/6)

6.6666 /0.83333

= 8.00002= 8 hats

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Answer:

random since it doesn't have a specific opinion, it is required by bank service

Step-by-step explanation:

3 0
3 years ago
A newspaper reported that 4040​% of people say that some coffee shops are overpriced. The source of this information was a telep
vampirchik [111]

Answer:

a. Identify the population of interest in this study.

  • all the population of the country

b. Identify the sample for the study.

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c. Identify the parameter of interest in the study.

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d. Find and interpret a 95​% confidence interval for the parameter of interest.

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95% confidence level interval:

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5 0
3 years ago
4x + 3.5x=180. How do you solve it
Grace [21]
4+3.5=7.5
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180/7.5
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8 0
4 years ago
Two vertical poles of lengths 11 ft and 14 ft stand 16 ft apart. A cable reaches from the top of one pole to some point on the g
Alex17521 [72]

We are given

total length of cable is 30 feet

and this cable is on hypotenuse sides of the triangles

so, we can draw triangle as

Let's assume those hypotenuse as 'a' and 'b'

so, we will have

a+b=30

now, we can find 'a' and 'b' from triangle

Smaller triangle:

a=\sqrt{x^2+11^2}

Larger triangle:

b=\sqrt{(16-x)^2+14^2}

we know that

a+b=30

so, we can plug this value

and we get

\sqrt{x^2+11^2}+\sqrt{(16-x)^2+14^2} =30

now, we can solve for x

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32x-1231=-60\sqrt{x^2-32x+452}

1024x^2-78784x+1515361=3600x^2-115200x+1627200

now, we can use quadratic formula

we get

x=\frac{-\sqrt{36416^2-1152389056}+36416}{5152},\:x=\frac{\sqrt{36416^2-1152389056}+36416}{5152}

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The point should be located 4.510 feet , 9.627 feet from the smaller pole to use 30 feet cable............Answer

6 0
3 years ago
Danielle earns a 7.25% commission on everything she sells at the electronics store where she works. She also earns a base salary
sashaice [31]

Danielle earned $951.25

Step-by-step explanation:

Multiply her commission by her sales and add her base rate

x=7.25%($4500)+625 or x=0.0725(4500)+625

distribute

x=326.25+625

simplify

x=951.25

8 0
3 years ago
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