A shoe repairman is working with his assistant, who takes 1.5 times as long to repair a pair of shoes.
Together they can fix 10 pairs of shoes in six hours. How long does it take the repairman to fix one pair
of shoes by himself?

Answers

Answer 1

Answer:

1/2 or 0.5 hours

Step-by-step explanation:

r = time for repairman to fix one pair of shoes.

a = time for assistant to fix one pair of shoes.

a = r×1.5

x×r + y×a = 6

x = number of pairs of shoes repaired by repairman.

y = number of pairs of shoes repaired by assistant.

x+y = 10

y = 10-x

x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)

y = 10 - y×1.5

y + y×1.5 = 10

2.5×y = 10

y = 4

=> x = 6

6×r + 4×r×1.5 = 6

6×r + 6×r = 6

12×r = 6

r = 6/12 = 1/2 or 0.5 hours


Related Questions

Use the law of sines to find the measure of angle C.

Answers

C = 43.6 degrees (1 dp)

You cannot find C using the sine law without knowing one of the other angles.
In your previous question I showed you that A = 71.5
sin(C)/16 = sin(71.5...)/22
sin(C) = 16 x sin(71.5...)/22 = 0.68977...
C = sin^-1(0.68969) = 43.6 degrees

Here, if you use the law of sines, you cannot find the measure of the required angle. But if you use the law of cosines, you will get the desired result.

The measure of the angle C of the given triangle is 43.61°

What is the law of cosines?

According to the law of cosine, the square of any one side of a triangle is equal to the difference between the squares of the other two sides and double the product of the other sides and cosine angle added together between them. If AB, BC, and CA are lengths of the three sides of a triangle, then using the law of cosine, we can write

AB² = BC² + CA² - 2(BC)(CA)cos C.

How to solve this problem?

Here, AB = 16, BC = 22, and AC = 21.

Now, 16² = 22² + 21² - 2 * 22 * 21 * cos C

i.e. 256 = 484 + 441 - 924 * cos C

i.e. 256 - 925 = - 924 * cos C

i.e. - 669 = - 924 * cos C

i.e. cos C = 669/924 = 0.724

i.e. C = cos⁻¹(0.724) = 43.61

Therefore the measure of the angle C of the given triangle is 43.61°

Learn more about law of cosines here -

https://brainly.com/question/4472157

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find the surface area and volume of each figure Write an equation for each of the following images giving brainliest i really need this please help

Answers

Answer:

1) S.A = 108, V = 72; 2) S.A = 68, V = 60; 3) S.A = 40, V = 58

Step-by-step explanation:

1) Surface area of a cuboid = 2(lb + bh + hl)

                                             = 2(6*4 + 4*3 + 3*6)

                                             = 2(24 + 12 + 18)

                                             = 2*54

                                             = 108 square units ------- (1)

 Volume of a cuboid = lbh

                                   = 6*4*3

                                   = 72 cube units ----------- (2)

2) Surface area = (1) - specific surface area

     Specific surface area

          =2(2*6 + 6*1 + 2*1)

          =2(12 + 6 + 2)

          =2*20

          =40 square units

  Therefore surface area = 108 - 40 = 68 square units  --------- (3)

  Volume = (2) - specific volume

      Specific volume

              =l*b*h

              =2*6*1

             =12 cube units

 Volume = 72 - 12 = 60 cube units ---------- (4)

3) Surface area = (3) - specific surface area

              Specific Surface Area

               2(2*4 +2*1 + 4*1)

               2(8 + 2 + 4)

               2(14)

               28 square units

 Surface area = 68 - 28 = 40 square units

  Volume = (4) - specific volume

         Specific volume

            = 1*2*4

            = 8 cube units

       Volume = 60 - 8 = 52 cube units

I really hope that u understood all these shortcuts

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1) Mrs Tan is 43 years old and her daughter is 17 years old. How many years ago was Mrs Tan 3 times as old as her daughter?

2)Amy is 9 years old younger then her younger sister. if her younger sister is now 1 year old, how many years later will Amy be 4 times as old as her younger sister?​

Answers

Answer:

No 1

Here,

Let X be age of daughter

and 3X be age of father

Now,x+17+3 = 20 age

and 3x+43-20 = 7point9x

Step-by-step explanation:

So,

20÷7point9 = 2point8 years ago

Hence,

age of father = 48÷2point8 = 21point5 years

age of daughter = 20÷2point8 = 10 years

so, before 2point8 years ago father was as old as his daughter

A right triangle has a height of 22 centimeters and a base of 11 centimeters What is the area of the triangle ?


SOMEONE HELP ASAP !!!​

Answers

Answer:

121 cm^2

Step-by-step explanation:

area of triangle = base*height/2

=11*22/2

=242/2

=121 cm^2

HELP PLZZ
What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 13
B. 7
C. 1.9
D. 9.5

Answers

Answer:

Step-by-step explanation:9.5

Which points are solutions to the system of inequalities shown below?
Check all that apply.
у< x
y< 5
X<4
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)

Answers

Answer:

A. (3,0)

D. (0,-1)

E. (2, 1)

Step-by-step explanation:

A. (3,0)

B. (1,7)

C. (6,2)

D. (0,-1)

E. (2, 1)

F. (3, 4)

у< x  #############################

A. (3,0)

C. (6,2)

D. (0,-1)

E. (2, 1)

y< 5 ####################

A. (3,0)

C. (6,2)

D. (0,-1)

E. (2, 1)

X<4 ###################

A. (3,0)

D. (0,-1)

E. (2, 1)

Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.

What number should Carl replace y with?

Answers

I’m pretty sure it should be 2 since 6x3 is 18 and you add the 4 which makes it 22.

y=2

Please help I’ll give brainliest

Answers

Answer:

2 is the base

Step-by-step explanation:

2^12

The 2 is the base and the 12 is the exponent

Identify the 3 terms by name: 5x2 - 7x + 2

Answers

Answer:

5x2-7x-1

Step-by-step explanation:

STEP1:Equation at the end of step 1

((5x2 - 7x) - 3) + 2

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  5x2-7x-1 

The first term is,  5x2  its coefficient is  5 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   5 • -1 = -5 

Step-2 : Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -7 .

     -5   +   1   =   -4     -1   +   5   =   4

fine the value for the following

11 -12÷4+3 (6-2)

and

0÷21

Answers

Answer:

1. 20

2. 0

Step-by-step explanation:

1. 20

11 -12÷4+3 (6-2)

Brackets first

11-12÷4+3 x 4

Then division and multiplication

11-3+12

Subtraction next

8+12

Now addition

8+12=20

2. Anything divided by 0 is 0

chung minh phan so sau toi gian : 21n+4/14n+3

Answers

Step-by-step explanation:

Cog, KY tj, kyzkysiyso6doydi6wkyx co70 kysu5, 5i

What measure is represented by 17 feet in the figure below?

A cylinder with diameter 17 feet.
the radius of the base
the diameter of the base
the area of the base
the height of the cylinder

Answers

Answer: The answer is the diameter.

Step-by-step explanation:

Answer:

diameter

Step-by-step explanation:

the diameter goes straight through the center of the circle

solve for x and y, round to one decimal place​

Answers

Answer:

x=48

y=50

Step-by-step explanation:

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carry on learning

correct me if im wrong

X=48
Y=50 I think this is right but I’m not sure

Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7

Answers

Fill in the blanks using < or >.

[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]

(a) -3 [tex]\boxed{ > }[/tex] -4

(b) 6 [tex]\boxed{ >}[/tex] -20

(c) -8 [tex]\boxed{ < }[/tex] -2

(d) 5 [tex]\boxed{ > }[/tex] -7

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]

what is 200 + 30 - 60 + 70 - 20

Answers

Answer:

220

Use PEMDAS

The answer is 220 this is a easy answer

7 th term and 14 th term of an Arithmetic sequence are 36 and 64 respectively , find the common difference and ,25th term

Answers

Answer:

(a) The common difference is 4

(b) The 25th term is 108

Step-by-step explanation:

Given

[tex]T_7 = 36[/tex]

[tex]T_{14} = 64[/tex]

Solving (a): The common difference

The nth term of an AP is:

[tex]T_n = a + (n -1)d[/tex]

For the 7th term, we have:

[tex]36 = a + (7 -1)d[/tex]

[tex]36 = a + 6d[/tex]

For the 14th term, we have:

[tex]64 =a + (14 -1)d[/tex]

[tex]64 =a + 13d[/tex]

Subtract both equations

[tex]64 - 36 = a - a +13d-6d[/tex]

[tex]28 = 7d[/tex]

Divide by 7

[tex]d = 4[/tex]

Solving (b): The 25th term

First, we calculate the first term (a)

The 7th term of the progression is:

[tex]36 = a + 6d[/tex]

Substitute [tex]d = 4[/tex]

[tex]36 = a + 6 * 4[/tex]

[tex]36 = a + 24[/tex]

Subtract 24

[tex]a = 36 -24[/tex]

[tex]a = 12[/tex]

The 25th term is:

[tex]T_{25} = a + (25 - 1)d[/tex]

[tex]T_{25} = 12 + (25 - 1)*4[/tex]

[tex]T_{25} = 12 + 24*4[/tex]

[tex]T_{25} = 108[/tex]

Find m angle f.
A. 88
B. 28
C. 62
D. 70

Answers

Try 62 but I’m not 100%

2 263 *?-90 oy + 2000 y2-5504z -30253 sutry-454)37200​

Answers

Answer:

hello

Step-by-step explanation:

I did not known your answer

Math doesn't suit me; I have to cooperate with it.

Answers

Answer:

200 vs 230

$30

Step-by-step explanation:

The Eastminster Widget Company has an old machine that can produce 36
widgets in 9 hours, and a newer machine that can produce 40 widgets in 8
hours. Working together, how long would it take to produce 100 widgets?

Answers

Answer:

22 hours

Step-by-step explanation:

Old machine produces 36 widgets in 9 hours. The number of widgets produced in an hour can be determined as;

In 1 hour = [tex]\frac{36}{9}[/tex]

              = 4 widgets

New machine can produce 40 widgets in 8 hours. The umber of widgets produced in an hour can be determined as;

In 1 hour = [tex]\frac{40}{5}[/tex]

              = 5 widgets

Thus, let the time required by old machine be represented by s, and that of new machine by y. Working together we have;

4x + 5y = 100

(4 * 10) + (5 * 12) = 100

Thus the old machine would work for 10 hours, while the new machine would work for 12 hours to produce 100 widgets.

Working together, it would take both machines 22 hours.

WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing

Answers

Answer:

The answer;

C. y>= 2

The choose ( C)

I think it would be B

Please help me solve my problem!!!

Answers

False. A parallelogram has opposite equal sides. And a rhombus has all equal sides

The length of a rectangle is 5 less than
the width. Which polynomial describes
the area of the rectangle?

Answers

Answer:

Let length = x

Let width = x + 5

Let Area = A

A = x(x + 5)

A = x2 + 5x

could anyone help me with this?

Answers

Answer:

93.4 cm²

Step-by-step explanation:

Area of the shaded region = area of the square - area of half of the circle

Area of the shaded region = s² + ½(πr²)

Where,

r = 6.2 cm

s = length of square = diameter of circle = 2*r = 2*6.2

s = 12.4 cm

Plug in the values

Area of the shaded region = 12.4² - ½(π × 6.2²)

= 153.76 - 60.381411

= 93.378589

≈ 93.4 cm² (nearest tenth)

given data 4,y,9,5,2,7 find y if the mode is 4
the mean is 5
the median is 6​

Answers

Answer:

y = 3

Step-by-step explanation:

y , 2 , 4 , 5 , 7, 9

Mean = 5

[tex]\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3[/tex]

if α and β are the zeroes of the polynomial 3x^2 - 8x − 3 then find the value of i) α^2 + β^2 ii) α^-1 + β^-1​

Answers

Step-by-step explanation:

the answer is in the above image

I have no clue Someone Please Help!!!!!

Answers

Answer:

D

Step-by-step explanation:

we have to see the value of y on x=-2

which is 2

so g(-2)=2

Laura bought the apples, bananas, and strawberries shown below to use in a fruit salad. What percent of the fruit is apple?​

Answers

Answer:

4/12

Step-by-step explanation:

i am not good at this but i will try☺

Answer:

30%

Step-by-step explanation:

To find the percentage of something we decide the amount of things we want to find the percentage off by the total amount of things and then multiply the product by one hundred.

Apple: 4

Total fruit: 12

So,

4/12 = 0.3

The percentage of apples:

30%

The midpoint of two points is (5,4). If one of the points is (3,5), find the other point.

Answers

the other point should be (7,3). 5-2 is 3 so 5+2 is 7 and 4+1 is 5 and 4-1 is 3
answer:
(4, 4.5)
explanation:
(5+3 / 2 , 4+5 / 2)

Sarah accepted a new job at a company with a contract guaranteeing annual raises. Sarah's salary after working for nn years can be determined using the equation S=90000+3500n.S=90000+3500n. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

Slope = 3500

Sarah's salary will increase by 3500 per year

Step-by-step explanation:

Given that Sarah's salary after working n years is given as :

S=90000+3500n

The equation given is similar to a linear equation :

y = bx + c ;

Where, b = slope of the linear equation

Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.

Slope is simply described as the rate of change, the change in y per unit change in x ;

Therefore, this means Sarah's salary will increase by 3500 per year

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