Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 10 more days to finish the job than the other worker?

Answers

Answer 1

Answer:

20 days

Step-by-step explanation:

t = time required by one worker to complete the job alone

(t+8) = time required by the other worker

So:

7.5/ t + 7.5/ (t + 8) = 1

Solve for t.

...

t = 12 days, the first guy working alone

The other worker would finish the job in 20 days.

Answer 2

Answer:

7 days and 17 days

Step-by-step explanation:

We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.


Related Questions

In a class of c children,2/5 are boys What fraction are girls?

Answers

Hello! :)

________ ☆ ☆______________________

Answer:

3/5

Step-by-step explanation:

Here is the work:

You only have to subtract and you will get your answer.

5/5-2/5=3/5

We know 1 whole equals to 5/5, and there is 2/5 boys

So there will be 3/5 girls

Hope this helps! :)

_________ ☆ ☆________________________

By, BrainlyMember ^-^

✨ Good luck! ✨

Answer: 3/5c

Step-by-step explanation:

2/5 is 40%.  100-40=60.  Thus, 60% of c, or 3/5c are girls.

Hope it helps <3

What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30

Answers

Answer:

C

Step-by-step explanation:

Standard form is f(x) = ax² + bx + c.

f(x) = -(x - 4)² + 2

= -(x² - 8x + 16) + 2

= -x² + 8x - 16 + 2

= -x² + 8x - 14

Hi,

the correct answer is C

This is the correct equation: f(x) = -x^2 + 8x - 14

XD

P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)

Please help me asap!!!!!?

Answers

Answer:

D

Step-by-step explanation:

the scale factor will be the square of the fraction

7/4 =49/16

Answer:

D

Step-by-step explanation:

Help asap please will give brainliest

Answers

Answer:

d. (x+2)/(-x²-5)

Step-by-step explanation

 ƒ(x) = x + 2/(2x²)

The function is undefined when x =  0.

b. ƒ(x) = (2x + 4)/(3x + 3)

The function is undefined when 3x + 3 = 0, i.e., when x = -1.

c. ƒ(x) = (6x - 5)/(x² - 7)

The function is undefined when x² - 7 = 0, i.e., when x = √7.

d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)

The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.

This function has no excluded values.

BRAINLIEST!!!! Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?

Answers

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

An equation is formed of two equal expressions. There are a total of 16 tricycles.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the total number of bicycles be represented by x, while the total number of tricycles is represented by y.

The total number of vehicles is 40. Therefore, we can write the equation as,

x + y + 2= 40

x + y = 38

Solving the equation for x,

x = 38-y

Also, given that the total number of wheels is 100, also, the number of four-wheelers is 2. Therefore, the total number of wheels can be written as,

2x + 3y + 2(4) = 100

2x+ 3y = 92

Substitute the value of x from the above equation,

2(38 - y) + 3y = 92

76 - 2y + 3y = 92

y = 16

Hence, there are a total of 16 tricycles.

Learn more about Equation:

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Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth

(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0

What one is it help me please

Answers

Answer:

B 267.9

Step-by-step explanation:

the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9

When q = 15, r = 4
Find q when r = 7

Answers

Answer:

q = 18 ?

Step-by-step explanation:

This is not a complete question but ill give it a shot!

If we are following a pattern then we see q is 11 more than r.

So we do 11 + r (7) to get 18!

mark as brainliest

The answer is18。。。。。

what is 2+3. if not answer get band

Answers

Answer:

5

hope your like this a swer

stay at home stay safe

bye bye

pls mark me as BRAINLIEST

Answer:

5

Step-by-step explanation:

If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.

Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of the perfect cube so obtained.​

Answers

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28

Answers

Answer:

Option D

Step-by-step explanation:

A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.

The answer should be D.

Find the value of x.

Answers

Answer:

x = √21.

Step-by-step explanation:

Triangles ADB and BCD are similar.

So their corresponding sides are in the same ratio:

x / 7 = 3 / x

x^2 = 21

x = √21.

Work out the length of RS.
Give your answer to 3 significant figures.
S
R
-5
-4
-B
- 2
2
-40
+
3
4
5 x
+
-2-

Answers

Answer:

5.83 units

Step-by-step explanation:

Given is a right angled triangle.

Length of base = 2 - (-3) = 2+ 3 = 5 units

Height = 4 - 1 = 3 units

By Pythagorean theorem:

[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]

A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.

Answers

Answer: 2 <= X <= 5

Step-by-step explanation:

Answer: 2 <= X <= 5

Step-by-step explanation:

Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.

And no less than 2 days per week. That is, greater than or equal to 2 days.

Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2

An inequality to represent the range of days an employee can work will be

2 <= X <= 5

Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days

I need help with this plz...Thanks

Answers

Answer:

Step-by-step explanation:

You graph it

If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC? answers: Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE. Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC. No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent. No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
please answer ASAP please i need HELP ASAP thank you

Answers

Answer:

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

Step-by-step explanation:

Data provided in the question

m∠ABC = 45°

m∠ECD = 45°

Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options

As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent

Therefore the last option is correct

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent. Therefore the option D is correct.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Data given in the question

m∠ABC = 45°

m∠ECD = 45°

Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options one by one.

As we can conclude that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent.

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

Therefore the option D is correct.

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In 1787, if an enslaved African was considered 3/5th of a person for representation in Congress,how many enslaved Africans would have been considered equivalent to 6 white Americans?

Answers

Answer:

10

Step-by-step explanation:

3/5 is 0.6 and 10 time 0.6 is 6.

hope this helps

please help asap !!!!!!!!!

Answers

Answer:

D. 6\sqrt{5}-4\sqrt{7}

Step-by-step explanation:

[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]

In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student who has a brother also has a
sister?
Has a brother | Does not have a brother
Has a sister
6
2
Does not have a sister
8
13​

Answers

Answer:

[tex]Probability = \frac{6}{29}[/tex]

Step-by-step explanation:

Given

------------------------------Has a brother | Does not have a brother

Has a sister --------------------------- 6 ----------------- 8

Does not have a sister  -----------2 ------------------ 13

Required

Probability of having a sister and a brother

First, the total number of students has to be calculated;

Total = 6 + 2+ 8 + 13

Total = 29

Number of students that have a sister and a brother is represented with data in row 1 and column 1 i.e. 6

At this point, the probability can then be calculated;

Probability = Number of students that have a sister and a brother divided by Total number of students

[tex]Probability = \frac{6}{29}[/tex]

Please help :) Is the relationship shown by the data linear? If so model the data with an equation.

Answers

Answer:

y-5=5/4(x-1)

Step-by-step explanation:

the slope is 1.25

m=y2-y1/x2-x1=10-5/5-1=5/4=1.25

y-5=(5)/(4)(x-1)=

y=(5)/(4)x+(15)/(4) this one is linear

it is a linear function and the

Find the solutions to x2 = 24.
O A. x = 164
O
B. X =
+4v6
O C. x = +62
O D. x = +276

Answers

Answer:

x = ± 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given

x² = 24 ( take the square root of both sides )

x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = ± 2[tex]\sqrt{6}[/tex]

PLS ANSWER I WILL MARK U AS THE BRAINLIEST!!! Correct 36.2598 to

a) decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number

Answers

The question is incomplete.

Complete Question

Correct 36.2598 to

a) to one decimal place.

b) To the nearest hundredth.

c) to nearest 0.001

d) to the nearest whole number

Answer:

a) to one decimal place = 36.3

b) To the nearest hundredth= 36.26

c) to nearest 0.001 = 36.260

d) to the nearest whole number = 36

Step-by-step explanation:

From the question, we are to round up 36.2598 to the following:

a) to one decimal place.

Rounding up 36.2598 to one decimal place means we are looking at the first number after the decimal which is 2. The number after it is 5, so we are adding one to 2. Hence,

36.2598 to one decimal place = 36.3

b) To the nearest hundredth:

Rounding up 36.2598 to the nearest hundredth means we are rounding up to 2 decimal places. This means we are looking at the second number after the decimal which is 5. The number after it is 9, which is higher than 5 so we are adding one to 5. Therefore,

36.2598 to the nearest hundredth = 36.26.

c) to nearest 0.001

Rounding up 36.2598 to the nearest 0.001 means we are rounding up to the nearest thousandth which is 3 decimal places.

This means we are looking at the third number after the decimal which is 9. The number after it is 8, which is higher than 5 so we are adding one to 9.

Therefore,

36.2598 to the nearest 0.001 = 36.260

d) to the nearest whole number

Rounding up 36.2598 to the nearest whole number means we are rounding up the number before the decimal place. That number is 6. We look at the first digit after the decimal, it is less than 5, 6 remains unchanged, if it is 5 and above, we add one to 6.

For our question, the number after the decimal is 2, it is less than 5 so 6 remains unchanged.

36.2598 to the nearest whole number = 36.

Can anyone help please! Thanks!

Answers

I think the answer to this question is 1152

Please help i will mark brainliest!​

Answers

Answer:

A. and C. are true i think :/

Step-by-step explanation:

im not 100% sure though but again, good lucks!

If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.

Answers

Answer:

D.

Step-by-step explanation:

" Sum" means "+".

The sum of the number of dogs and the 6 cats.

d + 6

Answer:

Option D

Step-by-step explanation:

Sum is Adding (+)

So,

The expression becomes

=> d+6

use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76​

Answers

Answer:

(4,8)

Step-by-step explanation:

6x-4y=-8

11x+4y=76  eliminate y

6x+11y=-8+76

17 x=68

x=68/17=4

substitute x :

6x-4y=-8

6(4)-4y=-8

-4y=-8-24

y=-32/-4

y=8

The sales tax for an item was $19.20 and it costs $480 before tax. Find the sales tax rate. Write your answer as a percentage

Answers

Answer:

sales tax rate = 4%

Step-by-step explanation:

In this problem formula to express one term in percentage is used

To express x as percentage of y is given by (x/y*100) %

______________________________________________

Cost of item = $480

sales tax = $19.20

we have to find sales tax rate.

sales tax rate is percentage of cost price which will levied as tax .

thus, we have to find sales tax as percentage of cost price.

using the percentage cost as given above

sales tax as percentage = sales tax/ cost of item *100

sales tax as percentage = 19.20/480 *100 = 4%

Thus, sales tax rate is 4%.

It means that if cost price of item is $100 then $4 will be the sales tax for the item.

Find the value of x. Give reasons to justify your solution. C ∈ AE

Answers

Answer:

x = 11º

Step-by-step explanation:

1. Notice Parallel Lines

2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)

3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º

4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.

5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).

2x + 33 = 5x (C.L.T or Combine Like Terms)3x = 33 (inverse operations; divide by 3)x = 11º (remember to apply units)

Answer:

11 degrees

Step-by-step explanation:

Ur welcome

Can someone please help me solve this?

Answers

Answer:

centre = (-5, -4)

radius = 7.42

Step-by-step explanation:

The general form for center-radius is

(x - h)² + (y - k)²= r²

Center = (h, k)

Radius = r

Rearrange the equation.

(x² + 10x) + (y² + 8y) - 14 = 0

Add 14 on both sides.

(x² + 10x) + (y² + 8y) = 14

(10/2)² = 25

(8/2)² = 16

Add 25 and 16 to both sides.

(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16

Factor left side of the equation.

(x+5)² + (x+4)² = 55

(55) = (7.416198)²

(x+5)² + (x+4)² = 7.42²

The radius is 7.42.

The centre is at (-5, -4).

Answer:


Explanation:


Which number added to a rational number will always result in an irrational number?

Answers

Answer:

The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.

Step-by-step explanation:

Help Please I'm Out Of Time ;(

Is it true that every whole number is a solution of x > 0?
Use complete sentences to explain your reasoning.

Answers

Answer:No, every whole number is not a solution of x > 0 because the whole numbers include 0. The solution set of x > 0 does not include 0. So, 0, which is a whole number, is not a solution of x > 0.

Step-by-step explanation:

No, Is it not true that every whole number is a solution of x > 0.

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

To check, Is it true that every whole number is a solution of x > 0.

Now, We know that;

Every whole number is a solution of x ≥ 0.

That is, Zero is include in the whole numbers.

Therefore, Is it not true that every whole number is a solution of x > 0.

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