Working alone, Pablo can put up a tent in 12 minutes. His mom can put it up by herself in 4 minutes. How many minutes would they take to put up the tent working together?

Answers

Answer 1

Pablo amd his mom would take Eight minutes

Answer 2

Final answer:

Pablo and his mom would take 3 minutes to put up the tent working together, as they combine their work rates to determine their joint effectiveness.

Explanation:

To determine how many minutes Pablo and his mom would take to put up the tent working together, we can use the concept of combined work rates. Pablo can put up a tent in 12 minutes and his mom can do it in 4 minutes. We calculate their combined work rate by adding the reciprocal of each person's time because working together means their rates add up.

Pablo's rate is 1 tent per 12 minutes, or 1/12 tents per minute. His mom's rate is 1 tent per 4 minutes, or 1/4 tents per minute. Combined, their rate is (1/12) + (1/4) tents per minute.

First, find a common denominator for the fractions, which would be 12 in this case, so we get:

(1/12) + (3/12) = 4/12

Therefore, their combined rate is 4/12 or 1/3 tents per minute. To find out how long it would take them to set up one tent, we take the reciprocal of the combined rate. Thus, 1 tent would take them 1/(1/3) minutes, or simply 3 minutes.

Working together, Pablo and his mom can put up the tent in 3 minutes.


Related Questions

Okay lol I need help (T ^ T)

Answers

Answer:

The first one is 179. The second one is 162 The second one is shorter by 17 miles.

Step-by-step explanation:

I got that because 1:53+28=81+98=179 2:28+49=77+85=162

179-162=17

Can I get brainliest

PLZ HELP 10 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

880cm²

Step-by-step explanation:

Find areas and add them first the one at the bottom middle. 20x8 = 160. Now above it 20x10 = 200. To the left 8x10 = 80. To the right 8x10 = 80. Go up 8x20 = 160. Last block up 10x20 = 200. Add the areas => 880cm²

Up and Running Auto Shop keeps track of their regular customers' data to see if there is a relationship between the life of a car's engine (y) and the number of times the oil is changed (x). When the data is shown on a scatter plot, the equation for the line of best fit is y = 0.4125x + 0.1576. What is the relationship between 0.4125 and the life of the car's engine?

Answers

Answer:

Strong and Positive Relation

Step-by-step explanation:

Here, when we plot the graph of y = 0.4125x + 0.1576

Then we see that the graph has a positive correlation as we increase the value of x, the value of y is also increasing. So, Life of Car's Engine and Number of Times the Oil is Changed has a Positive relation.

And if our scatter plot is horizontal, vertical or we unable to draw the line of best fit then it has no or little correlation but here we see that line is not lie in either case. So, the relationship is strong but not very strong.

Answer :

A) 0.4125 shows how much the longevity of the engine increases with each oil change.  

B) 0.4125 shows the expected longevity with no all changes.  

C) 0.4125 shows the expected longevity for all engines, with or without oil changes.  

D) 0.4125 is the expected decrease in longevity for each year without an oil change.

Step-by-step explanation: THE answer IS A!!

( i just took the test)

Solve for y
220-y = 29

Answers

Answer:

y = 191

Have a great day :)

Hope this helps !

5INGH

Step-by-step explanation:

220 - y = 29

( - 220 from both sides )

- y = - 191

( × -1 on both sides )

y = 191

Answer:

y= 191

Step-by-step explanation:

This is a one step process:

Subtract 220 from both sides to get y by itself, and you have your answer! (since both sides are negative mulltipy both, to get a positive solution)

The line plot shows the weights of packages of meat available at a grocery store. The 3 lightest packages cost $4.40 per pound. The remaining packages cost $4.80 per pound. If a customer buys all available packages, how much does she spend? Choose the numbers to complete the statements.

Answers

Answer:

$42.40

Step-by-step explanation:

The horizontal axis is in fractions.

The three lightest are two  [tex]\frac{5}{8}[/tex] pounds & one  [tex]\frac{6}{8}[/tex] pounds. Each cost $4.40 per pound.

So cost = 4.40(5/8+5/8+6/8) = $8.8

Remaining costs 4.80 per pound. We add up the remaining and multiply by 4.80 to get their cost.

cost = [tex]4.80(1+1\frac{1}{8}+1\frac{1}{8}+1\frac{1}{8}+1\frac{2}{8}+1\frac{3}{8})=33.6[/tex]

Hence, total cost =  8.8 + 33.6 = $42.40

Answer:

40.40 is actually the answer for the last one and the first one is 8.80

then the second one is 33.60 so yw

Step-by-step explanation:

What’s the answer!!! Please help ASAP

Answers

Answer: It equals y to the twentieth power.

Step-by-step explanation: when you have a power to a power, like this example, it's essentially saying, y to the power of 4 times y to the power of four times times y to the power of 4 times y to the power of 4 times y to the power of 4, so y to the fourth is being repeated 5 times, so just multiply 5*4 to get 20.

Answer:

y²⁰

Step-by-step explanation:

(y⁵)⁴ is the same as writing y⁵×y⁵×y⁵×y⁵ 4 times. For the exponent, all you have to do is add all the 5's and you'll get y²⁰. I hope this helps:)

In the figure M ab =45 and M cd= 23 what is the value of x?

Answers

Answer:

34°

Step-by-step explanation:

The measure of vertical angles formed by two chords is equal to one half the sum the measures of the arcs.

In other words, x is the average:

x = (23° + 45°) / 2

x = 34°

What is the sign of the third term of the expansion of (x - y)n for n = 3, 4, and 5?

a.
positive

b.
negative

Answers

ANSWER

a.

positive

EXPLANATION

The given binomial expansion is:

[tex] {(x - y)}^{n} [/tex]

We can see that the second term is negative (-y).

When we expand this binomial for n=3,4, and 5, the sign is got to alternate.

The first term is positive

The second term negative

The third term is positive

The first choice is correct.

Answer:

A;)

Step-by-step explanation:i dont have negative sign

Sorry for all the late night / early morning questions running on three days with little sleep trying to graduate

Answers

Answer:

measure of angle R is 75.897° or 75.90°.

Step-by-step explanation:

To solve use the formula Sin A/ a= Sin B/ b. our angle A is 52°, opposite it is side a so 26. Let angle R be our B so opposite it is b which measure 32.

sin 52°/26 = Sin B/32, cross multiply

32 (sin 52°) = 26 Sin B, multiply both side by 1/26

32 (sin 52°)/26 = Sin B

32 (0.78880107536...)/26 = Sin B

0.969593891... = Sin B

Sin^-1 (0.969593891..) = B

B = 75.89703075 or Angle R is 75.90°

Help i'm not good at finding other measurements!!
A triangle has an area of 221.16 square inches. The height of the triangle is 29.1 inches. What is the length of the triangle?

Answers

Answer:

15.2

Step-by-step explanation:

a bag of cement mix has a mass of 15.6 kilograms which number sentence will tell how many grams of mass the bag of cement mix has
A 15.6 x 1,000
B15.6 ÷ 100
C15.6 ÷1,000
D15.6 x 100​

Answers

Answer:

Option A. 15.6 x 1,000

Step-by-step explanation:

we have that

A bag of cement mix has a mass of 15.6 kilograms

Remember that

1 kg=1,000 g

Convert Kg to g

15.6 kg=15.6*1,000=15,600 g

How do you do this problem?

12y = 1224
12 x y = 1224
1224 divided by 12 = y

Answers

Answer:

the answer is 102.

Step-by-step explanation:

Answer:

12y = 122412 xy = 12241224 divided by 12 = y12y = 1224 = 10212 xy = 1224 = xy = 1021224 divided by 12 = 102

Hope this helps!!!

what is the solution to the system graphed below? (1,1) (1,-1) (-1,1) (-1,-1)​

Answers

Answer:

(-1, -1)

Step-by-step explanation:

The two lines intersect in the third quadrant, at (-1, -1), so that is the solution.

The solution to the system graphed below is (-1,-1) which is option D.

What is a graph?

It is a collection of various points and it is used to draw lines of different functions or equations by finding out two points and by joining them.

How to identify points on the graph?

We have to check solution of the system graphed in the question. There are two lines graphed. Both are intersecting each other at one point. A solution of a line exists at a point where they are intersecting. If we try to find the point then we need to identify origin first and then according to x and y axis points will be found. The required points will be (-1,-1).

Hence the solution of graphed system is (-1,-1).

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What is the solution to the following equation? x+(-21)=8

Answers

Answer:

x is 29.

Step-by-step explanation:

x-21=8 (same equation to solve)

+21  +21 (add 21 to both sides)

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

x= 29

please help!!!!!!!!!!!!

Answers

Answer:

  see answers in bold below

Step-by-step explanation:

a. The area of each red triangle is given by the formula for the area of a triangle:

  A = 1/2·bh

The base is 14 ft - 10 ft = 4 ft. The height is shown as 4 ft, so the area of each triangle is ...

  A = (1/2)(4 ft)(4 ft) = 8 ft²

Then the red area is that of the two triangles:

  red area = 2·(8 ft²) = 16 ft²

The white rectangle area is the product of its length and width:

  white area = (8 ft)(4 ft) = 32 ft²

The area of the whole central parallelogram is the product of its length and width:

  parallelogram area = (14 ft)(8 ft) = 112 ft²

But the yellow area is the difference between this value and the white area:

  yellow area = 112 ft² -32 ft² = 80 ft²

__

b. The area to be primed is the sum of the areas to be painted different colors:

  primed area = red area + white area + yellow area

  = 16 ft² + 32 ft² + 80 ft²

  primed area = 128 ft²

_____

In the attached figure, each grid square is 2 ft.

What is the difference between a sequence and a series? What is the difference between a geometric and an arithmetic sequence?

Answers

Answer:

Sequence: ordered list of numbers

Series: sum of the terms of a sequence

Arithmetic sequence: the difference between the terms is constant

Geometric Sequence: the ratio between the terms is constant

Step-by-step explanation:

The difference between a series and a sequence is that a sequence is a list of numbers that follow a pattern or rule.

For example

1, 3, 5, 7, 9...

[tex]a_n = 1 +2(n-1)[/tex]

On the other hand, a series is the sum of the terms of a sequence.

1 + 3 + 5 + 7 + 9 + ...+ n

[tex]\sum_{n=1}1 +2 (n-1)[/tex]

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

The difference between an arithmetic sequence and a geometric sequence is that:

for the arithmetic sequences the subtraction of:

[tex]a_n - a_{n-1} = d[/tex]

Where d is a constant  called difference..

In the Arithmetic sequence the difference between the terms is constant

For the geometric sequences, it is satisfied that the quotient between two consecutive terms is:

[tex]\frac{a_{n-1}}{a_n} = r[/tex]

Where r is a constant value called common ratio

In geometric Sequence the ratio between the terms is constant

Final answer:

A sequence is an ordered list of numbers, while a series is the sum of the terms of a sequence. An arithmetic sequence has a constant difference between terms, while a geometric sequence has a constant ratio.

Explanation:

Difference Between Sequence and Series

A sequence is an ordered list of numbers following a specific pattern, while a series is the sum of the terms of a sequence. For example, in the sequence 2, 4, 6, 8, ..., each term is 2 more than the previous term. However, when these terms are added together, for instance, 2 + 4 + 6 + 8, we get a series.

Difference Between Geometric and Arithmetic Sequences

An arithmetic sequence is characterized by a constant difference between consecutive terms. For example, the sequence 3, 7, 11, 15, ... has a common difference of 4. On the other hand, a geometric sequence has a common ratio between consecutive terms, such as the sequence 2, 6, 18, 54, ... where each term is 3 times the previous term.

a movie starts at 2:30 pm and ends at 4:15 pm. after the movie anne and her friends go for ice cream. they eat ice cream from 4:30 pm to 5:00pm how much time elapsed from the start of the movie to the time the friends finished their icecream

Answers

Answer:

The answer is two hours and thirty minutes.

Step-by-step explanation:

The movie starts at 2:30 PM, and Anne and her friends finish their ice cream at 5:00 PM. If you add two hours and thirty minutes to 2:30 PM, you reach 5:00 PM.

Two hours 30 minutes a

Which equation is NOT a linear? function

Answers

Answer:

Step-by-step explanation:

A linear function involves two variables which are in their first power form, such as x and y.

A nonlinear function may include two variables, one or more of which are of the 2nd or higher power.

Unfortunately, you did not share the possible answer choices, so I cannot be more specific.  I'd suggest you repost this question, with answer choices, if you still  want guidance here.

y = x^2 - 2 is NOT a linear function, because of that power (2).  Note how all the other choices show x to the 1st power.

Final answer:

A linear function is represented by an equation in the form y = a + bx and generates a straight line when plotted on a graph. Any equation that does not fit this form, such as quadratic, exponential, trigonometric, or inverse functions, which generate curves when plotted, are not linear functions.

Explanation:

The question asks which equation is not a linear function. A linear function is one that can be represented by an equation in the form y = a + bx, where 'a' and 'b' are constants and 'x' is the independent variable. This form of function generates a straight line when plotted on a graph, with 'b' representing the slope of the line and 'a' representing the y-intercept, where the line crosses the y-axis.

An equation that does not fit this form is not a linear function. For instance, a quadratic function, represented by a second-order polynomial equation such as y = ax^2 + bx + c, is not linear. These types of equations generate curves when plotted on a graph, not straight lines.

Futhermore, any other function types such as exponential, trigonometric, or inverse, which generate curves that are not straight lines when plotted, are also not linear functions.

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15 POINTS

Area of a square is 20.4 feet ^2. Find x.

Length is x.
Width is 3.4 ft.

Answers

I think the answer would be 122.4

Find the slope y-intercept and equation for the data in the table and in the graph can someone please help me

Answers

Answer:

The y-intercept is 0

The equation is y=3x

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

Observing the table

For x=0, y=0

therefore

b=0

Find the slope between the points (0,0) and (1,3)

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute

[tex]m=\frac{3-0}{1-0}[/tex]

[tex]m=3[/tex]

the equation is equal to

[tex]y=3x+0[/tex]

[tex]y=3x[/tex]

Anissa is considering buying her first home. The house she is interested in buying is priced at $139,000. Anissa qualifies for a 30-year mortgage at 6.45%. What will be her monthly mortgage payment?

Answers

Answer:

A

Step-by-step explanation:

Answer:

The correct answer is option A.

Step-by-step explanation:

The EMI formula is ::

[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]

Here,

p = 139000

r = [tex]6.45/12/100=0.005375[/tex]

n = [tex]30*12=360[/tex]

Now, putting these values in formula we get,

[tex]\frac{139000*0.005375*(1+0.005375)^{360} }{(1+0.005375)^{360}-1 }[/tex]

[tex]\frac{139000*0.005375*(1.005375)^{360} }{(1.005375)^{360}-1 }[/tex]

= $874.01

Therefore, option A is the answer.

How much more would $5,656.30 earn in 5 years, compounded monthly at 4.1%, when compared to the interest on $5,656.30 over 5 years, at 4.1% compounded quarterly?

Answers

Answer:

[tex]\$4.81[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

step 1

in this problem we have  

[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=12[/tex]  

substitute in the formula above  

[tex]A=\$5,656.30(1+\frac{0.041}{12})^{12*5}=\$6,940.82[/tex]  

step 2

in this problem we have  

[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$5,656.30(1+\frac{0.041}{4})^{4*5}=\$6,936.01[/tex]  

step 3

Find the difference

[tex]\$6,940.82-\$6,936.01=\$4.81[/tex]

What information does the mode of a data set provide?

Answers

Answer:

The frequency of a number

Step-by-step explanation:

The mode in a data set provides how frequent a number in a data set appears.

For example, take the following data set:

1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10

The mode of this data set would be 3.

This is because 3 is repeated more frequently in the data set than any other number.

1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10

I hope this helps!

Which form of payment can you lose and NOT get your money back?
Debit Card
Credit Card
Check
Cash

Answers

Answer:

cash

Step-by-step explanation:

Final answer:

You cannot get your money back once you lose cash since it's not connected to any bank or financial institution, unlike debit cards, credit cards, or checks.

Explanation:

The form of payment that you can lose and not get your money back is cash. When you lose cash, there is no way to trace it or stop it like you can with a check, debit, or credit card. This is because cash is not linked to any banking or financial institution, so no protections are in place to recover lost or stolen cash. On the other hand, if you lose a debit card, credit card, or check, you can immediately inform your bank or card issuer to freeze your account or cancel the check, thereby protecting your money.

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lena made $90 for 5hours of work at the rate how many hours would she have to work to make 324$​

Answers

hiii

here is the solution

hope it helps

A spherical boulder is 14 ft in diameter and weighs almost 6 tons. Find the volume. Use 3.14 for pi.

Answers

To find volume, we will use the following equation: V=4/3piR^3

The correct answer should be 1436.76

The volume of the spherical boulder will be 1,436.027 cubic feet.

What is the volume of the sphere?

Let r be the radius of the sphere. Then the volume of the sphere will be given as,

V = 4/3 πr³ cubic units

A spherical boulder is 14 ft in diameter. Then the radius is calculated as,

r = d / 2

r = 14 / 2

r = 7 feet

Then the volume of the spherical boulder is calculated as,

V = 4/3 πr³

V = 4/3 x 3.14 x 7³

V = 1,436.027 cubic feet

The volume of the spherical boulder will be 1,436.027 cubic feet.

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Carl bought 19 apples or 2 different varieties to make pies. The total cost of apples was $51.00. Granny Smith apples cost $3.00 per pound and Gala apples cost $2.50 per pound. How man pounds of Granny apples did Carl buy?

Answers

Answer:

12 Granny Smith and 7 Gala apples (total 19 apples)

Explanation:

Let me put this equation first:

X: number of Granny Smith apples

(19-X): number of Gala apples

cos

t

=

X

0.25

+

(

19

X

)

0.30

5.10

=

0.25

X

+

5.70

0.30

X

5.10

5.70

=

0.05

X

0.60

=

0.05

X

and

X

=

12

Number of Granny Smith apples is 12.

The rest (19-12) is number of Gala apples. Number of Gala apples is 7.

This satisfies your equation.

Number of Granny Smith apples 12 and number of Gala apples is 7.

Help in linear pairs and vertical angles

Answers

elg=124°

eld=2x

elg+eld=180°=>eld=180°-124°=56°/eld=2x=56°=>x=56°/2=28°

eld+dlh=180°=>dlh=180°-56°=124°

hlg+dlh=180°=>hlg=180°-124°=56°

Answer:

from the figure we get x = 28

Step-by-step explanation:

Proof is given below

Statements                                        Reason

1). <ELG = 124                             Given

2). <ELD = 2x                               Given

3).  <ELG and ELD are linear       Definition of linear pair

    a pair

4).  m<ELD + m<ELG = 180       Sum of linear pair angles 180

5).   2x + 124 = 180                      Substitution

6).   2x = 180 - 124 = 56               Subtraction property

7).  x = 28                                      Division property        

Which triangle has a bigger area:

1. A triangle with sides measuring 300, 400, and 500.
2. A triangle with sides measuring 300, 400, and 700.

Answers

The 2nd triangle has a bigger area, because since it has 2 sides that are equal to the first and its 3rd side is larger than the 1st triangle, it would have larger area, because it would have to have a larger area to have a larger side.

Answer:

Which triangle has a bigger area:  

1. A triangle with sides measuring 300, 400, and 500.

2. A triangle with sides measuring 300, 400, and 700.

Step-by-step explanation:

The second triangle has the largest area, because although the two triangles have two sides with the same size, the third is larger in the second triangle, 700 of the second, versus 500 of the first, and hence the area is also greater than in the first.

Lance's shoe collection is made up of Nike's and Adidas. Altogether , he has 17 pairs of shoes, but he has 3 more Nikes than he has Adidas. How many does he have of each pair?
Write two equations
state your solution

Answers

Answer:

Adidas pairs are 7, nikes are 10

Step-by-step explanation:

10n+7a=shoes total

7x+3=Nikes x=7

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