Tim can paint a room in 6 hours. Bella can paint the same room in 4 hours. How long will it take if Tim and Bella work together?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\sf \text{Work done by Tim in 1 hour = $\dfrac{1}{6}$}\\\\\text{Work done by Bella in 1 hour = $\dfrac{1}{4}$}[/tex]

[tex]\sf \text{Work done by both Tim and Bella in 1 hour =$\dfrac{1}{6}+\dfrac{1}{4}$}[/tex]

                                                                      [tex]=\dfrac{1*4}{6*4}+\dfrac{1*6}{4*6}\\\\=\dfrac{4}{24}+\dfrac{6}{24}\\\\=\dfrac{10}{24}\\\\= \dfrac{5}{12}[/tex]

[tex]\bf Time \ taken = \dfrac{12}{5}[/tex]

                     = 2.4 hours

                     [tex]= 2 \ hours \ 24 minutes[/tex]

[tex]\sf \text{Work done by both Tim and Bella in 1 hour = \dfrac{1}{6}+\dfrac{1}{4}}[/tex]


Related Questions

Tineka has a sack that contains 7/12 lb of jellybeans. If she splits the jellybeans into 2 piles of equal weight, how much will each pile weigh?

F 3/16
H 1 1/16
G 7/24
J Not here

Answers

The weight of each of the two piles Tineka split the jellybeans in the sack to is 7/24 lb.

What is the weight of each pile?

Division is when two numbers are grouped into equal parts using another number. The sign used to denote division is ÷.

In order to determine the weight of each pile, divide the weight of the sack by 2.

Weight of each sack = 7/12 ÷ 2

7/12 x 1/2 = 7/24

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Emma incorrectly gave the sum as 8 100 . explain what emma did incorrectly and use the model to correct her work. solve the problem in your answer.

Answers

Using the fraction model, Emma made a mistake by adding 5 and 3 to get 8/100, instead of 3/100 + 5/10 = 53/100.

What are Fractions?

Fractions can be referred to as a part of a whole number.

The following are the information given that was omitted:

1 grid having 10 equal columns. 5 are shaded.

This can be expressed as a fraction, as 5/10.

Another identical grid shows, 100 squares with 3 of them shaded, which can be represented in fraction, as 3/100.

The model for the addition problem would be solved as:

3/100 + 5/10 = 53/100

Therefore, using the fraction model, Emma made a mistake by adding 5 and 3 to get 8/100, instead of 3/100 + 5/10 = 53/100.

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At a store, a 26 oz box of cereal costs $6.65, and a 38 oz box of cereal costs $10.98. What is the unit price of the box that is the better deal? Round your answer to the nearest cent.

Answers

Answer:

3.75.../ $1

Step-by-step explanation:

25 ounces ÷ 6.65

6.65 dollars ÷ 6.65

=

3.759398 ounces/1 dollar

What type of triangle is defined by the following set of side lengths

10, 9, 5



Acute


Obtuse


Right


Not a triangle

Answers

Answer:

Acute

Step-by-step explanation:

Hope it helps you in your learning process.

Hello there.

Question:

What type of triangle is defined by the following set of side lengths

10, 9, 5

Answer:

Acute

Step-by-step explanation:

The triangle perimeter is the sum of the lengths of its three sides.

[tex]p=a+b+c=10+9+5=24[/tex]

The semiperimeter of the triangle is half its perimeter. The semiperimeter appears in formulas for triangles to be given a separate name. the triangle inequality, the longest side length of a triangle is less than the semi perimeter.

[tex]s=\frac{p}{2} =\frac{24}{2} =12[/tex]

using Heron's formula

Heron's formula gives the area of a triangle when the length of all three sides is known.

[tex]T=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]T=\sqrt{12(12-10)(12-9)(12-5)}[/tex]

[tex]T=\sqrt{504}=22.45[/tex]

There you go :) I even calculated it for you.

Hope this helps!

If you have any questions please ask.

please help please please

Answers

Answer:

1) 27

2) 63

Step-by-step explanation:

cos-1(17/38)= 63.425...= 63= angle C

90-63= 27=angle A

A golf ball is hit so that it travels a horizontal distance of 440 feet and reaches a maximum height of 190 feet. Determine a quadratic equation that models the path of the golf ball, assuming it starts at the origin. (4 points) Round the coefficient of x2 to the nearest ten-thousandths place, and round the coefficient of x to the nearest thousandths place. Using your understanding of parametric equations for projectile motion, what is the angle the ball takes off? Show your steps.

Answers

(1) A  quadratic equation that models the path of the golf ball, is 16.0850t² - 110.560t - 190 = 0.

(2) The angle the ball takes off is 64.4⁰.

Equation of motion of the golf ball

The equation that models the motion of the gofl ball is calculated as follows;

Vertical motion

Vf² = V₀² - 2gh

at maximum height, Vf = 0

V₀² = 2gh

V₀ = √2gh

V₀ = √(2 x 32.17 x 190)

V₀ = 110.56 ft/s

Equation of motion

h = V₀t - ¹/₂gt²

-190 = 110.56t  - ¹/₂(32.17)t²

-190 = 110.56t - 16.0850t²

16.0850t² - 110.560t - 190 = 0

Horizontal motion

440 = Vxt

Vx = 440/t

The time of motion, t is determined as follows;

16.0850t² - 110.560t + 190 = 0

a = 16.0850, b = -110.560, c = 190, solve using formula method

t = 8.3 s

Vx = 440 /8.3

Vx = 53.01 ft/s

Angle of projection

tan θ = (Vy) / (Vx)

tan θ = (110.56)/(53.01)

tan θ = 2.086

θ = tan⁻¹(2.086)

θ = 64.4⁰

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HURRRYYYY
The diagram shows a cone of the height of 8 units and a base radius of 6 units.

What is its volume?

Answers

Answer:

Option A :- V = 301.44

Step-by-step explanation:

Formula= V = (1/3)πr²h

Volume = 1/3 × 22/7 × 36 × 8

⇒ 301.44

4 The following stem plot shows the number of text
messages that students send in one day. Draw a pie
chart that represents this data.
Number of Text Messages Students Sent in One Day
Stem
Leaves
o 37
1
0011223445 77 88 89
2 013557
Key: 10 = 10

Answers

The pie chart of the number of text messages sent by the students represents the stem plot using a circle graph

How to represent the stem plot on a pie chart?

The stem plot is given as:

0 | 37

1  | 0011223445 77 88 89

2 | 013557

From the above stem plot, we have the following frequency table

SMS        Frequency

0 - 9         2

10 - 19      16

20 - 29    6

Total       24

Next, we determine the relative frequency table

SMS        Frequency    Relative Frequency

0 - 9         2                           2/24 = 8.33%

10 - 19      16                          16/24 = 66.67%

20 - 29    6                            6/24 = 25.0%

Total       24                            100%

Next, we plot the pie chart

See attachment for the pie chart

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How many values are between 30 and 50?

Answers

between 30 and 50 is approximately 40

Max goes to school which is 5 miles away he skips 3/14 of the way and then walk the rest of the way how many miles does he skip​

Answers

Answer:

1.07142857143 (1 rounded)

Step-by-step explanation:

3/14 of 5 is 1.07142857143

Matthew and his mom are sharing an apple pie. Matthew ate 2/3 of it and his mom ate 2/6 of it. How much more did Matthew eat than his mother

Answers

Answer:

2/6th or 1/3rd of the pie

Step-by-step explanation:

Subtract 2/6 from 2/3:  convert 2/3 to 4/6.  Then 4/6 less 2/6 is 2/6.

Matt ate 2/6th, or 1/3rd, more pie than did his mother.

Solve the following exponent:

70

Answers

Answer  70 = 7070

Step-by-step explanation: denotes how many times to multiply the base (70)

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

18

Step-by-step explanation:

If you x 12x6 the area would get you 72 you already used 6 and 12 you just times 6x3 and that gets 18. If this didnt help im sorry!

You’re given two side lengths of 3 cm and 5 cm. Which measurement can you use for the length of the third side to construct a valid triangle?

1. 8cm
2. 6cm
3. 4cm
4. 10cm
5. 2cm

Answers

You can use 6cm for the length of the third side to construct a valid triangle.

?? Honestly so confused

Answers

Answer:

[tex]f\left(x\right)=\left(x-1\right)^{2}+3[/tex]

Step-by-step explanation:

The equation for thr function f(x) is [tex]f(x)=\left(x-1\right)^{2}[/tex] . The vertex of this equation is located at (1,0). The vertex of function g(x) is located at (1,3) , meaning that the vertex of g(x) is 3 units higher than that of f(x). This can be represented in the equation using a vertical translation. The final equation for g(x) would be [tex]f\left(x\right)=\left(x-1\right)^{2}+3[/tex] .

Hope this helps! :)

What is the initial value of a=75t + 125?

Answers

The initial value is the same thing as the y-intercept, which in this case would be 125 because there is no variable by the number.

Work out 4 5 ÷ 7 15 Give your answer as a mixed number in its simplest form.

Answers

Answer:

1/9

Step-by-step explanation:

look up mixed numbers calculator soup , it helps you <3

Answer:

1 37/50

Step-by-step explanation:

4/5÷7/15 =

1.74 =

1 74/100 =

1 37/50

The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x| + k is solid. Use the slider to change the value of k. How does changing the value of k affect the graph? Positive values of k shift the graph . Negative values of k shift the graph

Answers

Answer:

Use the slider to change the value of k.

Positive values of k shift the graph ✔ up.

Negative values of k shift the graph ✔ down

Step-by-step explanation:

Transformation involves changing the position of a function.

The true statements are:

Positive values of k shift the graph up

Negative values of k shift the graph down

The functions are given as:

The equation of g(x) implies that, f(x) is translated or shifted vertically.

The possible values of k are:

k is greater than 0 i.e. positive

k is less than 0 i.e. negative

When k is positive, then the graph of the function shifts up

If otherwise (i.e. k is negative), then the graph of function shifts down

Changing the value of k in the function g(x) = |x| + k affects the graph by shifting it vertically.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Horizontal translation: g(x)=f(x+c).

The graph is translated as c units to the left if c>0 and c units to the right if c<0.

Vertical translation: g(x)=f(x)+k.

The graph is translated as k units upward if k>0 and k units downward if k<0.

When k is positive, the graph of g(x) is shifted upward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be greater than f(x) by k units, due to the addition of k to the absolute value of x.

Conversely, when k is negative, the graph of g(x) is shifted downward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be less than f(x) by k units, due to the subtraction of k from the absolute value of x.

Therefore, changing the value of k in g(x) = |x| + k shifts the graph vertically, either upward or downward, depending on the sign of k.

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WILL GIVE BRAINLIEST!!!
Solve 2(3y + 7 + 5) = 180. Solve ALL steps.

Answers

[tex]2(3y + 7 + 5) = 180\\\\ \implies 3y+12=\dfrac{180}2 \\ \\ \implies 3y+12 = 90\\\\\implies 3y = 90-12\\\\\implies 3y = 78\\\\\implies y= \dfrac{78}3 \\\\\implies y=26[/tex]

Answer:

y = 26

Step-by-step explanation:

2(3y + 7 + 5) = 180

6y + 14 + 10 = 180

6y + 24 = 180

      -24    -24

6y = 156

÷6     ÷6

y = 26

I hope this helps!

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. a 2-column table with 6 rows. the first column is labeled people working with entries 2, 4, 6, 8, 10, 12. the second column is labeled lines of code written hourly with entries 50, 110, 160, 210, 270, 320. which model best represents the data? y = 47(1.191)x y = 34(1.204)x y = 26.9x – 1.3 y = 27x – 4

Answers

The estimated number of lines of code written by computer programmers per hour when x people are working & the correct option is  y = 27x - 4.

Table  showing the estimated number of lines of code written by computer programmers per hour when x people are working & option given   y= 47 * 1.191ˣ     y= 34 * 1.204ˣ    y=26.9x - 1.3    y = 27x - 4

To Choose the model which best represents the data.

What is choosing the best model data?

To understand a set of data, it is helpful to organize it and provide summary descriptions of the set.

People Working   lines of code

2                             50

4                             110

6                            160

8                            210

10                           270

12                           320

x      y= 47 * 1.191ˣ    y= 34 * 1.204ˣ    y=26.9x - 1.3   y = 27x - 4

2       66.66               49.3                   52.5                 50

4       94.57               71.44                  106.3                104  

6      134.14                103.57               160.1                 158

8      190.27               150.14                213.9               212

10     269.91              217.64               267.7               266

12     382.85             315.5                  321.5               320.

Below    2              0                         4                        1

on line    0              0                         0                       2  

Above     4               6                         2                       3

Therefore  y = 27x - 4 is the best fit

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Answer:

y = 27x - 4

mark me as brainliest

Step-by-step explanation:

rationalise 1/√7-√3
PLEASE GIVE ANSWER IT'S URGENT ​

Answers

[tex]\dfrac 1{\sqrt 7- \sqrt 3}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left ( \sqrt 7 -\sqrt 3\right) \left( \sqrt 7 + \sqrt 3\right)}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left(\sqrt 7 \right)^2 - \left(\sqrt 3 \right)^2}\\ \\\\=\dfrac{\sqrt 7 + \sqrt 3}{7-3}\\\\\\=\dfrac 14\left(\sqrt 7 + \sqrt 3\right)[/tex]

Which of the triangles does not have the same base length as the others?

Answers

Answer:

Triangle C :)

Step-by-step explanation:

On the chart, it shows us that triangle c has the largest base at 5 units long :)

Have an amazing day!!

Please rate and mark brainliest!!

find the surface area. help i’m confused

Answers

9 + 6 = 15 so its 15 i think

solve for w and y
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

w = 10√2

y = 20

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

Therefore, the triangle on the left (with side length 10) is a right triangle,
since 180° - 45°- 45° = 90°

As this triangle is also an isosceles triangle (since it has 2 equal angles), then it will have 2 sides of the same length.  
So the legs of the right triangle are both 10 units.

Using Pythagoras' Theorem to calculate the hypotenuse of this triangle:

⇒ 10² + 10² = c²

⇒ 200 = c²

⇒ c = √200

⇒ c = 10√2

The triangle with side w and base y is also isosceles triangle with base angles of 45°.

Therefore, the sides are equal in length.

So w = hypotenuse of the left triangle = 10√2

We know that the horizontal distance between the left base vertex and the top vertex of this triangle is 10, therefore y = 10 + 10 = 20

pls help me thank you ​

Answers

Answer:

C

Step-by-step explanation:

a and b add to 180 degrees also known as a straight line

Answer:

supplimentarry

Step-by-step explanation:

add up to be 180

The functions f(x) = x^2 – 3 and g(x) = –x^2 + 2 are shown on the graph.

Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?

y ≤ x^2 – 3
y > –x^2 + 2

Answers

The shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions f(x) = x² – 3 and g(x) = –x² + 2 are shown on the graph.

Now for the point (0, 0). Then we have

0 ≤ 0² – 3

0 ≤ – 3

which is false

Then the region is opposite to the origin.

Similarly, we have

0 > 0² + 2

0 > 2

which is false

Then the region is opposite to the origin.

Thus, the shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

The graph is shown below.

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Let () = −22 − 8 + 4. Then (a) write the function in vertex form. (b) identify the vertex. (c) determine the x-intercept(s). (d) determine the y-intercept. (e) sketch the function. (f)
determine the axis of symmetry. (g) determine the minimum or maximum value of the function. (h) write the domain and range

Answers

Answer:

Graph the parabola y=x2−7x+2 .

Compare the equation with y=ax2+bx+c to find the values of a , b , and c .

Here, a=1,b=−7 and c=2 .

Use the values of the coefficients to write the equation of axis of symmetry .

The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .

Substitute x=72 in the equation to find the y -coordinate of the vertex.

y=(72)2−7(72)+2    =494−492+2    =49 − 98 + 84     =−414

Therefore, the coordinates of the vertex are (72,−414) .

Now, substitute a few more x -values in the equation to get the corresponding y -values.

x y=x2−7x+2

0 2

1 −4

2 −8

3 −10

5 −8

7 2

Plot the points and join them to get the parabola.

Tomas learned that the product of the polynomials (a b)(a2 – ab b2) was a special pattern that would result in a sum of cubes, a3 b3. his teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y. which product should tomas choose? (2x y)(2x2 2xy – y2) (2x y)(4x2 2xy – y2) (2x y)(4x2 – 2xy y2) (2x y)(2x2 – 2xy y2)

Answers

The polynomial (a + b)(a² – ab + b²) is reconstructed as (2x + y)(4y² – 2xy + y²), then the correct option is C.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Tomas learned that the product of the polynomials (a + b)(a² – ab + b²) was a special pattern that would result in a sum of cubes, a³ + b³.

His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.

Then the polynomial equation will be

(2x + y)(4y² – 2xy + y²)

More about the polynomial link is given below.

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Answer:

C

Step-by-step explanation:

2022

4.2 divided by 6 blank tenths divided by 6

Answers

Answer: 0.11

Step-by-step explanation:

I hope i helped TvT

In ΔLMN, l = 3. 9 cm, m = 2. 7 cm and ∠N=133°. Find the area of ΔLMN, to the nearest 10th of a square centimeter

Answers

Answer:

  3.9 cm²

Step-by-step explanation:

The area formula for a triangle when sides 'a' and 'b' and angle C are known is ...

  A = 1/2ab·sin(C)

__

The area of the specified triangle is ...

  A = 1/2(3.9 cm)(2.7 cm)sin(133°) ≈ 3.85058 cm²

The area of ΔLMN is about 3.9 square centimeters.

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