Manny can complete a sales route in 7 hours. Jane can do the same job in 3hours. How long will it take them to the job together

Answers

Answer 1

Answer:

Step-by-step explanation:

1/7x+1/3x=1

3/21x+7/21x=1

10/21x=1

x=21/10 hour or 2 hours and 1 minute

Answer 2

Final answer:

Manny and Jane will take approximately 2.1 hours to complete the job together.

Explanation:

To find out how long it will take Manny and Jane to complete the job together, we need to determine their combined rate of work. Manny can complete the job in 7 hours, so his work rate is 1/7 of the job per hour. Jane can complete the job in 3 hours, so her work rate is 1/3 of the job per hour. To find their combined rate, we add their individual rates: 1/7 + 1/3 = 3/21 + 7/21 = 10/21.

Since their combined work rate is 10/21 of the job per hour, it will take them 21/10 hours to complete the job together. Simplifying this fraction, we get 2.1 hours. Therefore, it will take Manny and Jane approximately 2.1 hours to complete the job together.


Related Questions

Which of the following represents a geometric series
2+6+18
2,6,10
2+6+10+
2,6,18

Answers

good morning,

Answer:

2,6,18

Step-by-step explanation:

6/2=3 and 18/6=3 then 2,6,18 represent a geometric series.

6/2=3 and 10/6≠3 then 2,6,10 doesn’t represent a Géométric series.

:)

A crane is lowering a concrete block from a height of 270 feet above the ground at a constant rate of 2.5 feet per second. Which function can be used to determine h, the height , in feet above the ground of the concrete block after “s” seconds ?

Answers

The function would be h = 270 - 2.5s, where h is the height (in feet) and s it the time (in seconds) that has passed.

The 270 represents the initial value, which is given. We are told that the initial height of the block is 270 feet.

2.5s represents the feet that it has descended. We know the block is lowered at a rate of 2.5 feet per second. Multiplying this by s, the time, will give us how much it has descended.

The height at any point is can be given by function f(s) = 270 - 2.5s.

Given to us,

concrete block top height, H = 270 feet,

speed of the block, v = 2.5 feet/second,

We know that  [tex]\rm \bold{speed = \dfrac{Distance}{Time} }[/tex],

thus,  [tex]\rm \bold{Distance = speed\times Time}[/tex]

So, we can write, height (distance from the top height) covered is "s" seconds as,

[tex]\bold{h = v \times s}=\bold{2.5\times s} = \rm \bold{2.5s}[/tex]

therefore, we can write,

Height at any point = Top height - height covered

                                 = 270 - 2.5s

Hence, the height at any point is can be given by function f(s) = 270 - 2.5s.

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: Create a story or context for this number sentence
50 1/2 divided by 1/4 + 202

Answers

Answer:

Tommy has 202 Chocolates with him in, his uncle gave him 50 1/2 bars of Chocolate each bar is further divided in 1/4 pieces to make 1 chocolate. Find the total number of Chocolates Tommy has?

Step-by-step explanation:

Given:

[tex]\frac{50\frac{1}{2}}{\frac{1}{4}}+202[/tex]

The Story can be created as :

Tommy has 202 Chocolates with him in, his uncle gave him 50 1/2 bars of Chocolate each bar is further divided in 1/4 pieces to make 1 chocolate. Find the total number of Chocolates Tommy has?

What is the simplified form of 2n ^ 2/3 * 3n^ 3 / 4

Answers

Answer: N^5/2 thats the answer thank you :)

The mean of 20 observations is 50. If the observation 50 is replaced by 140, what will be the resulting mean?​

Answers

Answer:

24.5

Step-by-step explanation:

20 + 140-50/20

= 20 + 4.5

=24.5

use the rational exponent property to write an equivalent expression for
[tex] \sqrt[5]{n ^{4} } + 3 - 12[/tex]

Answers

Final Answer:

Using the rational exponent property, an equivalent expression for[tex]\(x^{3/4}\[/tex]  can be written as[tex]\(\sqrt[4]{x^3}\).[/tex]

Explanation:

The rational exponent property states that for any real number a and positive integer[tex]\(n\), \(a^{m/n} = \sqrt[n]{a^m}\)[/tex] . Applying this property to the given expression[tex]\(x^{3/4}\[/tex] ), where (m = 3) and (n = 4), we can rewrite it as [tex]\(\sqrt[4]{x^3}\)[/tex] . This is derived by taking the fourth root of [tex]\(x^3\),[/tex]  which is equivalent to raising [tex]\(x^3\)[/tex] to the power of[tex]\(1/4\).[/tex]

To further understand this, consider the original expression [tex]\(x^{3/4}\).[/tex] This represents the fourth root of [tex]\(x^3\)[/tex] , as the numerator 3 indicates the power to which x is raised, and the denominator 4 indicates the root. Expressing it as [tex]\(\sqrt[4]{x^3}\)[/tex] provides a clearer representation of the same mathematical concept, emphasizing the fourth root of [tex]\(x^3\).[/tex]

In mathematical notation, the rational exponent property is a useful tool for simplifying expressions involving fractional exponents. It allows us to transform expressions between radical form and exponent form, providing flexibility in mathematical manipulations and aiding in the understanding of the underlying concepts.

What is the equation of a line in slope intercept form that passes through the points (-4,3) and (-2,4)

Answers

Answer:

y=1/2x+5

Step-by-step explanation:

y-y/x-x for slope

4-3/-2-(-4) 1/2

Answer:

y= --2/4+5

Step-by-step explanation:

on average a person blink 16 times per minute how many times does a person blink in one day. there are 1,440 minutes in a day​

Answers

23,040. if they blink 16 times a minute, then 16 x 60 is 960. multiply that times 24 for 24 hours in a day. you get 23,040

Answer:

16 times 1440= 23040 blinks a day

Step-by-step explanation:

So umm... 16 blinks a minute so for every minute is 16 blinks so just multiply the 1440 minutes so yeah..

There are 450 children that attend a high school. Of those students. 23%
are in the marching band. How many students are not in the marching
band?​

Answers

Answer:

The  number of students not in the marching band is 346.5  

Step-by-step explanation:

Given as :

The total number of children that attend a high school = 450

The percentage of students in the marching band  = 23 %

Let The number of students not in the marching band = x

Now ,

∵ The percentage of students in the marching band  = 23 %

∴ The percentage of students not in the marching band  = 100 % - 23 % = 77 %

So, The number of students not in the marching band = 77 % of the total number of students in the school

I.e  The number of students not in the marching band = 77 % × 450

Or ,  The number of students not in the marching band = [tex]\frac{77}{100}[/tex] × 450

∴ The number of students not in the marching band = 346.5

And The number of students in the marching band = 450 - 346.5 = 103.5

Hence The  number of students not in the marching band is 346.5  Answer


Round to the nearest tenth: 156.78

Answers

Well because it’s a tenth you need to look at the last number that the is and that is an 8, because it’s 8 you need to round up which would make your answer 156.8
Hope this helped

So how am I supposed to get my.anwsers

Answers

You can look them up on here or other apps/websites.

The quadrilateral shown is a rhombus. If AB = 17 and AE = 8, what is the measure of BE

Answers

Answer:

[tex]BE=15\ units[/tex]

Step-by-step explanation:

we know that

In a rhombus the diagonals are perpendicular

so

The triangle ABE is a right triangle

see the attached figure to better understand the problem

Applying the Pythagoras Theorem to the right triangle ABE

[tex]AB^2=AE^2+BE^2[/tex]

where

AB is the hypotenuse of the right triangle (greater side)

AE and BE are the legs of the right triangle

we have

[tex]AB=17\ units\\AE=8\ units[/tex]

substitute

[tex]17^2=8^2+BE^2[/tex]

solve for BE

[tex]289=64+BE^2[/tex]

[tex]BE^2=289-64[/tex]

[tex]BE^2=225[/tex]

[tex]BE=15\ units[/tex]

Answer:

C) 16

Step-by-step explanation:

twinlakes on the shelf of a covenience store lose their fresh tastines over time. we say that the taste quality is 1 when the twinkies are first put on the shelf at the store, and that the quality of tastiness declined according to the function Q(t)=0.85^t. Graph this function on a graphing calculator, and determine when the taste will be half of its original value?

Answers

Answer:

The graph is shown below.

The time to make the taste to half is 4.265 s.

Step-by-step explanation:

Given:

Initial value of the taste is, [tex]Q_0=1[/tex]

Therefore, the quality of taste over time 't' is given as:

[tex]Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t[/tex]

Now, when the taste reduces to half, [tex]Q=0.5[/tex]

Therefore,

[tex]0.5=1(0.85)^t[/tex]

Taking natural log on both the sides, we get:

[tex]\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s[/tex]

Therefore, the time to make the taste to half is 4.265 s.

is this a function ? ​

Answers

Answer:

No

Step-by-step explanation:

For the relation to be a function

Each value of x from the domain ( values on left ) must map to exactly one unique value of y in the range ( values on the right )

Here x = 0 → 0 and 1 ( that is 2 values from the range )

Thus this does not represent a function

Which of the following equations is equivalent to y + 3 = -4(x - 2)?

Answers

Answer:

D. y= -4x +5

Step-by-step explanation:

The equation [tex]y+3=-4(x-2)[/tex] can be transformed by doing some algebra.If we solve the second term of the equation -4(x-2)= 8 - 4x, then we have  [tex]y+3=8-4x[/tex] (this is done by distributing the multiplication into the two terms: remember that the product of -4x(-2)=+8 because the product of two negative numbers is a possitive number).Then, by subtracting both sides 3, we have [tex]y=5-4x[/tex]. Rearranging terms in the right side, we have [tex]y=-4x+5[/tex], which is option D.
Final answer:

To find the equation that is equivalent to y + 3 = -4(x - 2), we need to simplify and rearrange the equation to the standard y = mx + b form.

Explanation:

To find the equation that is equivalent to y + 3 = -4(x - 2), we need to simplify and rearrange the equation to the standard y = mx + b form. Here are the steps:

Distribute -4 to (x - 2): y + 3 = -4x + 8Move y to the right side: -4x + y + 3 = 8Combine like terms: -4x + y = 5

Therefore, the equation that is equivalent to y + 3 = -4(x - 2) is -4x + y = 5.

Carter is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Carter will earn $50 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Carter earned a total of $1000 in royalties on 12 commercials and movies. Determine the number of commercials and the number of movies on which Carter's songs were played.

Answers

Answer:

Number of songs played in commercial are 7 and  Number of songs played in movie are 5.

Step-by-step explanation:

Let Number of songs played in commercial be x

and Number of songs played in movie be y.

Total number of songs played =12

Hence,

[tex]x+y=12\ \ \ \ equation \ 1[/tex]

Also

Cost for songs played in commercial = $50

Cost for  songs played in movie = $130

Total Money earned = $1000

Hence,

[tex]\$50x+\$130y=\$1000[/tex]

Dividing by 10 on both side we get;

[tex]\$5x+\$13y=\$100\ \ \ \ equation \ 2[/tex]

Now multiplying equation 1 by 5 we get;

[tex]5x+5y=60 \ \ \ \ equation \ 3[/tex]

Now Subtracting equation 3 from equation 2 we get;

[tex](5x+13y=100)- (5x+5y=60)\\8y=40\\y=\frac{40}{8}=5[/tex]

y = 5

x + y = 12

x + 5 = 12

x = 12 - 5

x = 7

Hence, Number of songs played in commercial are 7 and  Number of songs played in movie are 5.

F=9/5c+32 a is there a constant of proportionality? Explain your reasoning

Answers

yes because in a standard form that that equation is in, it'd be y=mx=b. the m represents the constant of proportionality or the rate of change. another name for it is the slope. in this case, the 9/5 is the m & c is x. meaning that, there is one & it is 9/5

Mathematical
PRACTICE 5 Use Math Tools Sarah buys a pen that costs
$0.75. How much will 2 pens cost?

Answers

Answer: 1.5

Step-by-step explanation:

0.72 • 2 = 1.5

Answer:1.50

Step-by-step explanation: 75•2 = 1.50

Hello, i need help!
5/2 multiplied by what equals 1?
equation: 5/2×?=1

Answers

Answer:

[tex]\large\boxed{\dfrac{2}{5}}[/tex]

Step-by-step explanation:

[tex]\text{The product of the number and its reciprocal gives us 1.}\\\text{Reciprocal of }\ \dfrac{5}{2}\ \text{is equal}\ \dfrac{2}{5}.\\\\\dfrac{5}{2}\times\dfrac{2}{5}=\dfrac{5\!\!\!\!\diagup}{2\!\!\!\!\diagup}\times\dfrac{2\!\!\!\!\diagup}{5\!\!\!\!\diagup}=\dfrac{1}{1}\times\dfrac{1}{1}=1\times1=1[/tex]

The variables y and x have a proportional relationship, and y = 7 when x = 2.
What is the value of y when x = 5?
Enter your answer in the box.

Answers

y = 17.5 when x = 5

Step-by-step explanation:

When two variables are in direct proportion i.e. change in one variable causes change in other variable it can be expressed mathematically as:

y∝x

when the proportionality symbol is removed a proportionality constant is introduced

So,

[tex]y = kx[/tex]

Putting y = 7 and x = 2

[tex]7 = k * 2\\k = \frac{7}{2}\\k = 3.5[/tex]

So the expression will be:

[tex]y = 3.5x[/tex]

Now putting x = 5

[tex]y = 3.5 * 5\\y = 17.5[/tex]

Hence,

y = 17.5 when x = 5

Keywords: Proportion, variables

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3/10 11/12 5/8 in Oder from least to greatest

Answers

Answer: 5/8 11/12 3/10 I think

Step-by-step explanation:

Find common denominators (LCM is 120).

3/10 = 36/120

11/12 = 110/120

5/8 = 75/120

Now, we can put them from least to greatest.

3/10, 5/8, 11/12

______

Best Regards,

Wolfyy :)

A class has 4 boys and 10 girls. What is the ratio in simplest form that compares number of boys to total number of students?

4:14
4:10
2:7
2:5

Answers

Answer:

2:7

Step-by-step explanation:

There are 4 boys and 14 total students. That ratio is 4:14, and to find the simplest form you divide both numbers by the greatest common factor, which is 2. That leaves you with 2:7, the final answer.

Answer: simple just put boys=4ovrwhole class =14 put it in fraction 4/14 simplify you get 2/7

Step-by-step explanation:

Ratio question. Someone please help me!

Answers

Answer:

b is the right answer

Step-by-step explanation:

because the ratio of 98÷10=9.8

when we did the ration of 1078÷110=9.8

we can say that both ratio is same.

Answer: [tex]\frac{98}{10}[/tex] ; x = 110

Step-by-step explanation:

Since the ratio of weight to mass is constant , it implies:

[tex]\frac{490}{50}[/tex] = [tex]\frac{1078}{x}[/tex]

490x = 1078 X 50

490x = 53900

x = 53900/490

x = 110

Therefore the ratio of weight to mass will be :

1078/110

98/10

If I have a shirt that's 15 dollars how do I take 20% off the price

Answers

Well, first find out what 20% of $15 is.

20% x $15 = $3

Take that from the original price.

$15-$3=$12

Plato Question!!!!

Type the correct answer in each box.
What is a polar form of (-1, √3 ) is ( _ , _ ) ?

Answers

Answer:

(2, 120° )

Step-by-step explanation:

To convert from rectangular to polar form, that is

(x, y) → (r, Θ ), use

r = [tex]\sqrt{x^2+y^2}[/tex]

Θ = [tex]tan^{-1}[/tex]( [tex]\frac{y}{x}[/tex])

here (x, y ) = (- 1, [tex]\sqrt{3}[/tex])

r = [tex]\sqrt{(-1)^2+(\sqrt{3} }[/tex] )^2

  = [tex]\sqrt{1+3}[/tex] = [tex]\sqrt{4}[/tex] = 2

Θ = [tex]tan^{-1}[/tex]([tex]\sqrt{3}[/tex]) = 60° ← related acute angle

Note (- 1, [tex]\sqrt{3}[/tex]) is in the second quadrant so Θ must be in the second quadrant.

Θ = 180° - 60° = 120°

(- 1, [tex]\sqrt{3}[/tex]) → (2, 120°)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The polar form of a Cartesian coordinates is given by (r, @) where r = √x^2 + y^2

@ = tan^-1 y/x

r = √-1^2 + √3^2

r = √4

r= 2

@ = tan ^-1 √3/-1 -tan √3/1 = -60°

@ = 180-60 = 120°

write an equation that is not a linear function explain why it is not linear​

Answers

Answer:

x=y^2

Step-by-step explanation:

cause the definition of equation is one x correspond to one y,but one y can correspond to 2 x,

the picture I give to you a x correspond to 2 y

The function that does not represent the straight curve and has a varying rate of change are nonlinear functions.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
According to the question,
A nonlinear equation is given as,
y = x²

Now plotting the curve,
When we see that the relationship does not contain a straight line, and has a varying rate of change are nonlinear functions.
So this function is not linear.

Thus, the function that does not represent the straight curve and has a varying rate of change are nonlinear functions.

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What is the answer ?

Answers

Answer:

353

Step-by-step explanation:

355-42=x-40

I just need to subtract 2 from 355 to get x because I subtracted 2 from 42 to get 40.

355-2=353=x

The answer is 353 :D

could someone help with this inequality?
20≥−3.2(c−4.3)
thanks >o

Answers

Your solution would be -1.95<=x . btw couldn’t do the less than or equal to so i put that.

The solution of inequality would be -

c ≥ 1.95

What is an inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. There are two types of inequalities namely strict and slack inequalities.

We have the following inequality -

20 ≥ −3.2(c − 4.3)

It is given that -

20 ≥ −3.2(c − 4.3)

−3.2(c − 4.3) ≤ 20

-3.2c + 13.76 ≤ 20

-3.2c ≤  20 - 13.76

-3.2c ≤  6.24

c ≥ 1.95

Therefore, the solution of inequality would be -

c ≥ 1.95

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WRITE THE TERM,FILL IN THE BLANK
When we rewrite an expression so that it has no grouping symbols and all of the like terms have been combined, we ___ it.

Example: The process of turning (5x - 6) + 10x into 15x - 6.

Answers

The answer you’re looking for is: simplify.

When you rewrite an expression, we are simplifying it. We first use the distributive property through any groupings symbols, then evaluate terms we exponent that are given. Lastly, we combine any like terms, weather they are constants or variables.

Hope this helps! :)

Answer:

It is simplify. It is what you do when like terms are combined in order to get your answer.

Hope this helps!

Students were surveyed about their wither break plans.Of the people that stated they were going skiing, 25% did not actually go.How many students actually went skiing?

Answers

Answer:

The total number of students actually went for skiing is 0.75 times the total students .

Step-by-step explanation:

Given as :

Some Students were surveyed about their wither break plans.

The percentage of students who actually did not go for skiing = 25 %

So , The percentage of students who actually go for skiing = 100 % of students - 25 %

I.e The percentage of students who actually go for skiing = 75 %

Let The total number of students = x

So, out of x students , The The percentage of students who actually go for skiing = 75 % of the total students

I.e The The percentage of students who actually go for skiing = 75 % of x

Or, The The percentage of students who actually go for skiing = 0.75 × x

So, The number of students for skiing = 0.75 x

Hence The total number of students actually went for skiing is 0.75 times the total students . Answer

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