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

change from improper fraction to mix number 51/7​

Answers

Answer:

7 3/7

Step-by-step explanation:

PLEASE HELP
what is the amount of an investment $10,000 compounded quarterly for 3 years at a rate of 4 percent?

Answers

Answer:

10000 times 3 times 0.04 = 1200

Answer:

11268.25

Step-by-step explanation:

[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]

pls tell me the correct option

Answers

Answer: I would go with C I hope i am right!!

Step-by-step explanation:

Answer:

b. [tex] \frac{1}{16} [/tex]

Step-by-step explanation:

A = {2, 3}

B = {4, 6}

C = set of all possible fractions where, the numerators are in set A and the denominators are found in Set B

The 4 possible fractions we can get for set C are as follows:

Set C: { [tex] \frac{2}{4} [/tex] , [tex] \frac{2}{6} [/tex] , [tex] \frac{3}{4} [/tex] , [tex] \frac{3}{6} [/tex] }

Multiply all to get the product of all elements in Set C:

[tex] \frac{2}{4}*\frac{2}{6}*\frac{3}{4}*\frac{3}{6} [/tex]

Simplify where necessary

[tex] \frac{1}{2}*\frac{1}{3}*\frac{3}{4}*\frac{1}{2} [/tex]

[tex] \frac{1*1*3*1}{2*3*4*2} [/tex]

[tex] \frac{3}{48} [/tex]

Simply further

[tex] \frac{1}{16} [/tex]

Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?

A. SAS theorem
B. SSS theorem
C. AA postulate
D. Similarity cannot be determined.

Answers

Answer:

C

Step-by-step explanation:

AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.

The given triangles ΔABC and ΔLMN are similar by AA postulate.

What is a triangle?

A triangle is a three sided polygon that consist of three edges and three vertices .

Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.

Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.

Hence two triangles are similar by AA postulate.

Thus two triangles are similar by AA postulate. So option (C) is correct.

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!$P¡D£R €ŁÆŃ!!$P¡D£R €ŁÆŃ!

Answers

Answer:

A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.

Answer:

I would go with D

Step-by-step explanation:

Because there are 4 possibilities.

1) they both land heads up

2) they both land tails up

3) one lands heads up and the other tails up

4) one lands tails up and the other heads up

Hope this helps!

9r^6/ 5r^3g^2, 5n^5c^-6 times 2n^-5c^3, and 9g^-4yA^4/3g^6y^-2 using properties of exponents, all this for 10 points

Answers

Answer:

Step-by-step explanation:

5n⁵c⁻⁵ *  2n⁻⁵c³ = (5*2)*n⁵⁺⁽⁻⁵⁾ * c⁻⁶⁺³

                          =10*n° *c⁻³

                           = 10c⁻³               (n° = 1}

[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{9r^{6}}{5r^{3}g^{2}}=\frac{9}{5g^{2}}*r^{6-3}\\\\=\frac{9r^{3}}{5g^{2}}\\\\\\\\\frac{9g^{-4}y^{4}}{3g^{6}y^{-2}}=\frac{9}{3}*g^{-4-6}*y^{4-(-2)}\\\\=3*g^{-10}*y^{4+2}\\\\=3g^{-10}*y^{6}\\\\=\frac{3y^{6}}{g^{10}}[/tex]

Use the number line to find the measure of SV

Answers

Answer:

8

Step-by-step explanation:

S = -7 to V= 1 you count from -7 to 1

Solve 4(x - 3) - 2x - 1) > 0​

Answers

Answer:

x > 5.5

Step-by-step explanation:

4(x - 3) - (2x - 1) > 0

4x - 12 - 2x + 1 > 0

4x - 2x - 11 > 0

2x - 11 > 0

2x - 11 + 11 > 0 + 11

2x > 11

2x ÷ 2 > 11 ÷ 2

x > 5.5

Answer:

x>13/2

Step-by-step explanation:

4x-12-2x-1>0

2x-13>0

2x>13

X>13/2

helpppp please!!!!!!

Answers

Answer:

x-8

Step-by-step explanation:

since we dont know how much gas is in the tank, lets make that X.

and since we subtract 8 gallons from how much is in the tank, we make that X-8

Answer:

Inequality:

x < 8

The Graph Would be the Hallow Dot on the 8,  then it would go the left way.

How much is 3 lbs of gold worth I’m American money

Answers

Answer:

$1865

The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.

The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.

Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)

Answers

every month 1/10 of her allowance goes to chores class because 1/5x1/2 = 1/10 or 1/2 of 1/5 is 1/10

22/9 divided by 8, please hurry test is timed!

Answers

Answer:

0.30(5)

the 5 is repeating

Step-by-step explanation:

calculator

Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)

Answers

Answer:

Let's see each case.

a) 2

We know that a number is divisible by two if it ends in {0, 2, 4, 6, 8}

In our case, we have 240,720

We can see that it ends with a zero, so it is divisible by 2.

b) 3

A number is divisible by 3 only if the sum of its digits is a multiple of 3.

For our number, the sum of the digits gives:

2 + 4 + 0 + 7 + 2 + 0 = 2 + 4 + 7 + 2 = 6 + 9 = 15

15 is a multiple of 3, then 15 is divisible by 3.

then 240,720 is divisible by 3.

c) 4

A number is divisible by 4 if the last two digits form a number that is divisible by 4.

In this case, the last two digits are 2 and 0, so they form the number 20

and we know that 20 = 4*5 is a multiple of 4.

then 20 is divisible by 40

then 240,720 is divisible by 4

d) 5

A number is divisible by 5 if it ends in 0 or 5.

Our number ends in a 0, so it is divisible by 5.

e) 6

A number is divisible by 6 if it is divisible by 2 and 3.

We already know that our number is divisible by 2 and 3, so we can conclude that it is also divisible by 6.

f) 8

A number is divisible by 8 if, in the case where the hundreds digit is odd, the number obtained from the last two digits plus 4 must be divisible by 8.

in the case where the hundreds digit is even, the number formed by the last two digits must be divisible by 8.

In our case the hundreds digit is 7, so it is odd, so we will use the first criteria.

The last two digits form the number 20

if we add 4, we get:

20 + 4 = 24

And 24 is a multiple if 8:  8*3 = 24

Then 24 is divisible by 8, then 240,720 is divisible by 8.

g) 9

Similar for the case of the 3, a number is divisible by 9 if the sum of its digits is divisible by 3.

We know that the sum of the digits of our number is 15, which is not divisible by 9, then our number is not divisible by 9

h) 10

A number is divisible by 10 if the last digit is a zero.

In this case the last digit is a zero, so  240,720 is divisible by 10.

i) 11

A number is divisible by 11 if:

starting from the left, you need to add and subtract each subsequent digit, if this is divisible from 11, then the original number is divisible by 11.

Then for  240,720 we have:

2 - 4 + 0 - 7 + 2 - 0 = -2 - 5 = -7

-7 is not divisible by 11, so our number is not divisible by 11

Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O SSS
O SAS
O ASA
O AAS
ONone

Answers

Answer: I would say SAS

Explanation: The two equal eachother, that would mean that the corresponding angles equal eachother as well as the other side length. Let me know if otherwise.
The answer would be the ASA postulate. The angles where the two triangles intersect in the middle are vertical angles. Vertical angles are congruent. Therefore, the triangles have two pairs of corresponding, congruent angles, and a pair of corresponding, congruent sides. And thus, the ASA postulate proves the two triangles are congruent.


Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.

Answers

Answer: (4x + 5)/3

Explanation:

D = x
H = x + 5
R = 2x

Mean = (D + H + R)/3
= (x + x + 5 + 2x)/3
= (4x + 5)/2

PLZZZZ I really need help!

Which function rule represents the best line of fit for the data in the plot?

Answers

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function rule that represents the best line of fit for the data in the plot is option C.

A) f(x)= x+8

Since the line has a positive slope this can not be the appropriate option.

B.) f(x) = -2x+14

Since the y-intercept of the equation is above all the data points, it would not be the best fit for the data in the plot.

D.) f(x) = 10

Since this is a straight horizontal line at y=1. This is not the appropriate option.

Hence, the correct option is C.

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SOMEBODY PLEASE HELP

Answers

Answer:

x=40

Step-by-step explanation:

1/5x=8

x=8*5=40

x=40

If I eat 20 cupcakes and A=chicken nuggies what color is the imposter? True or false. extra points if you explain your answer.

Answers

Answer:

true

Step-by-step explanation:

because your susy

simplify

x - ( - 6 x )​

Answers

Answer:

7x

Step-by-step explanation:

Answer:

answer

x - ( - 6x )

x + 6x

= 7x

I need help again plz

Answers

3 :)

6.231 has a 1 after the 3, meaning you keep the 3 instead of rounding it up to 6.24

13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?

Answers

Answer:

384 words per day

Step-by-step explanation:

If he already wrote 696 words out of 3,000 words, then he has another 2,304 words left to write. To know how many words he needs to write each day for the next 6 days, then we need to divide 2,304 words by 6. The quotient thus becomes 384 words.

Answer:

384 words per day

Step-by-step explanation:

3000-696=2304

So 2304 divided by 6 =348

How do you find the equation of a line of a triangle when given the area and one set of coordinates?

Answers

The straight line through two points will have an equation in the form y = m x + c . We can find the value of , the gradient of the line, by forming a right-angled triangle using the coordinates of the two points.

Fill in the blank with <,> or = . 11.01-----11.001

Answers

Answer:  Greater than sign

In other words, 11.01 > 11.001

========================================================

Explanation:

For each given number, move the decimal point 3 spots to the right.

The value 11.01 becomes 11010

The value 11.001 becomes 11001

Since 11010 > 11001, this means 11.01 > 11.001

---------------

As an alternative method, you can subtract the values to see which is larger

The rule or idea is that

(large) - (small) = positive(small) - (large) = negative

For example, 5-2 = 3 showing that 5 is larger than 2. As another example, 7-9 = -2 meaning 7 is smaller than 9. The order of subtraction matters.

In this case, 11.01 - 11.001 = 0.009 showing that 11.01 is larger than 11.001

the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)

Answers

Answer:

$469.80

Step-by-step explanation:

First, let's find out how many fees would be paid exclusively for renting it out for 14 days.

29.00 * 14 = $406

They have to pay 406 dollars just for having the car for 14 days.

Now let's find out how much will need to paid for driving for 320 km.

We can first take away 100 km because the fee only starts afterwards.

320 - 100 = 220

220 * 0.29 = 63.8

63.80 + 406 = 469.80

Help pls!!!!!!!!!!!!! trigonometry is it cos sin or tan

Answers

Answer:

tan (angle T) = 5/2

angle T = arctan (5/2)

The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months

Answers

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Given the equation:

C = 40n + 210

Where C is the cost of a phone plan for n number of months.

After 2 months; C = 40(2) + 210 = 290

After 12 months; C = 40(12) + 210 = 690

After 24 months; C = 40(24) + 210 = 1170

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

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Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.

y = -x 2 + 6x + 5



HELP PLEASE!!!!!!

Answers

Answer:

-(x-3)²+14

maximum

(3,14)

Step-by-step explanation:

y= -x²+6x+5

y-5= -x²+6x

y-5= -(x²-6x)

complete the square

y-14= -(x²-6x+9)

x²-6x-9= -(x-3)²

y-14= -(x-3)²

y= -(x-3)²+14

maximum because a is negative

vertex is (3,14)

Does this help? Vertex form: y(x) = 4x + 5

How would you describe the channel of distribution for Coke using the BreakMate?

Answers

Answer:

Yes

Step-by-step explanation:

1. What

2. Even if that's an actual question, it doesnt make any sense

3. What

4. Even if that's an actual question, it's not math related

5. What

what is the effect on the graph of f(x) if it is changed to f(x)+7, f(x+7) or 7f(x)​

Answers

Answer:

it changed to f(x)+7 because it has an asymptote of 7

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the questions with their solutions. 5 80 6 200 8 150 Joshua has 11 baskets of apples. In total, he has 88 apples. How many apples are there in 1 basket? arrowRight Mindy can type 40 words per minute. How many words can she type in 5 minutes? arrowRight Jessica had 20 balloons, which she distributed among 4 of her friends. How many balloons did each friend get? arrowRight Max can make 1 greeting card in 5 minutes. How many greeting cards can he make in 30 minutes? arrowRight

Answers

Answer:

1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6

Step-by-step explanation:

1.)

Number of apple baskets = 11

Total number of apples = 88

Number of apples per basket = 88 / 11 = 8

2).

Number of words per minute = 40

Number of words that can be typed in 5 minutes :

40 * 5 = 200 words

3.)

Number of balloons = 20

Number of friends = 4

Number of balloons per friend = 20/4 = 5

4.)

Time required to make 1 greeting card = 5 minutes

Number of greeting cards that can be made in 30 minutes :

30 minutes / 5 minutes = 6 greeting cards

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