Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them?

A table showing Rate in part per minute, Time in minutes, and Part of Potatoes Peeled. The first row shows Simon and has StartFraction 1 Over 30 EndFraction, t, and t times StartFraction 1 Over 30 EndFraction. The second row shows Sophie, and has StartFraction 1 Over 45 EndFraction, t, and t times StartFraction 1 Over 45 EndFraction.

15 minutes
18 minutes
38 minutes
75 minutes

Answers

Answer 1

Answer:

the answer is 38 minutes

Answer 2

Answer:

18

Step-by-step explanation:


Related Questions

can you help me do this Q please :)

Answers

Answer:

i didnt get it

Step-by-step explanation:

can you explain

hi so the problem is a recipe calls for a total of 3 2/3 cups of flour and sugar. If the recipe calls for 1/4 cup of sugar, how much flour is needed
1. 3 1/12
2. 3 1/4
3. 5/12
4. 3 11/12

Answers

Answer:

3 5/12 cups of flour are needed

Step-by-step explanation:

The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar.  So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):

 11       1

----- - ----              where 11/3 is the improper fraction form of 3 2/3

   3      4

The LCD is 12.  Rewriting this subtraction using the LCD, we get:

44     3

---- - ----- = 41/12 (cups) = 3 5/12 cups

12     12

3 5/12 cups of flour are needed

the sum of 25 and x is 48 find x. . Solve.

Answers

Answer:

x = 23

Step-by-step explanation:

Sum of 25 and x = 48

25 + x = 48

Subtract 25 from both sides

25 - 25 cancels out

48 - 25 = 23

We would be left with x = 23

Answer:

[tex]x =23[/tex]

Step-by-step explanation:

Sum of 25 and x

[tex]25 + x[/tex]

Sum of 25 and x is 48

[tex]25 + x = 48[/tex]

Now lets simply Solve the equation

[tex]25 + x = 48 \\ x = 48 - 25 \\ x =23[/tex]

Hope this helps you.

Have a nice day!

Problema de Ecuación de la demanda La demanda semanal para un CD es de 26 mil unidades cuando el precio es de $12 cada una, y de 10 mil cuando el precio unitario es de $18. Encuentra una ecuación de la demanda para el CD suponiendo que es lineal.

Answers

Answer:

d(x)  =  - 2666.67*a  +  42000

Step-by-step explanation:

Vamos a llamar a d(x) la ecuación de la demanda de CD, entonces como la relación entre las dos variables es lineal la ecuación de la demanda es del tipo:

d(x) = a*x  + b        (1)

en esa relación a es la pendiente de la recta y b es el intercepto con el eje y que en este cas es el eje de valores de d(x).

Tenemos dos condiciones que cumplir y dos incógnitas que determinar ( a y b).

Cuando el precio ( x = 18 $ ) el monto de d(x)  es de 10000 entonces por sustitución en la ecuación general (1)

10000 = 18*a  +  b   (2)

Y cuando   (  x  =  12  $) d(x) =  26000

26000 = 12*a  +b    (3)

Resolviendo para a y b el sistema de dos ecuacions con dos incógnitas tenemos:

restando  ec 3  -  ec 2

16000 =  - 6*a

de donde   a = - 16000/6

a =  - 2666.67

Llevando ese valor a ec 2

10000  =  12 *(- 2666.67) + b

10000 + 32000 = b

b  = 42000

Finalmente la ecuación buscada es:

d(x)  =  - 2666.67*a  +  42000

Como la pendiente es negativa significa que d(x) va decreciendo cuando x va en aumento

What is the solution to the inequality
|2n + 5| > 1?​

Answers

Answer:

The solution to the inequality would be n < -3 or n > -2 . Isolate the variable be diving each side by the factors that don’t contain the variable.

Step-by-step explanation:

Could someone help me, please? I got 4, but I’m not sure.

Answers

Answer:

4

Step-by-step explanation:

what is the measure of x

Answers

Answer:

56.25°

Step-by-step explanation:

cos x° = b/h = 15/27 = 5/9

x° = cos^(-1) (5/9) = 56.25°

Given angel theta with cos theta < 0 and sin theta > 0, indicate the quadrant that theta lies in

Answers

bearing in mind that cos(θ) < 0, is just another way to say that cos(θ) is negative, and sin(θ) > 0, is just another way to say that sin(θ) is positive.

Check the picture below.

find the length of arc RS. Use 3.14 for pie. Round to the nearest tenth.

Answers

3.10

Step-by-step explanation:

If you round 3.14 to the nearest tenth 4 is nearer to 10 than 20. Therefore, the answer is 3.10

The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.

Find or approximate the time when the object hits the ground. Explain your method.

Answers

10 seconds! you put in 0 for h, and then set the parentheses to equal zero. it can’t be negative, so it must be 10.

The approximate time when the object hits the ground will be 10 seconds.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

h(t) = (49 + 4.9t)(10 - t)

The time when the object hits the ground is calculated as,

h(t) =

(49 + 4.9t)(10 - t) = 0

If (49 + 4.9t) = 0, then the value of 't' is given as,

49 + 4.9t = 0

t = - 10

The value of time is an absolute value. Thus, this can be neglected.

If (10 - t) = 0, then the value of 't' is given as,

10 - t = 0

t = 10 seconds

The approximate time when the object hits the ground will be 10 seconds.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ3

Find x. Round your answer to the nearest tenth of a degree.
16
х
12

Answers

Answer:

1.3

Step-by-step explanation:

tan(x) =16/12

=4/3

=1.33

=1.3

x=tan-1(1.3)

=52.4

3x-6y=24 y=Mx+b form

Answers

Answer: y=(1/2)x-4

3x-6y=24
-3x -3x
-6y=-3x+24
Divide by -6
y=(1/2)x-4

HELP ASAP NEED HELP. WILL GIVE BRAINIEST AND 100 POINTS.
Use the function f(x) = 4x^2 - 7x - 15 to answer the questions.

Part a: completely factor f(x).
Part b: what are the x-intercepts of the graph of f(x)? Show your work.
Part C: describe the end behavior of the graph of f(x). Explain.
Part D: what are the steps you would use to graph f(x)? Justify that you can use the answers obtained in part B and part C to draw the graph.

Answers

9514 1404 393

Answer:

  a.  f(x) = (4x +5)(x -3)

  b.  x-intercepts: {-1.25, +3}

  c.  f(x) goes to +infinity as x goes to ±infinity

  d. plot the x-intercepts, the vertex, and a few other points; draw a smooth curve through them

Step-by-step explanation:

a. Here, you're looking for factors of (4)(-15) = -60 that have a sum of -7. Those factors will be -12 and +5, so we can factor the function as ...

  f(x) = (4x -12)(4x +5)/4

  f(x) = (x -3)(4x +5)

__

b. The x-intercepts are the values of x that make the factors zero:

  x -3 = 0   ⇒   x = 3 . . . . (add 3)

  4x +5 = 0   ⇒   x = -5/4 . . . . (add -5, divide by 4)

__

c. As with all even-degree polynomials with positive leading coefficients, the end behavior of f(x) matches that of |x|:

  as x → ∞, f(x) → ∞

  as x → -∞, f(x) → ∞

__

d. The vertex of the function will be located halfway between the x-intercepts, at x = (3-5/4)/2 = (7/4)/2 = 7/8. The value of f(x) there is ...

  f(7/8) = (4(7/8) +5)(7/8 -3) = -289/16 = -18.0625

Since the leading coefficient is 4, the normal x^2 function behavior is stretched vertically by a factor of 4. So, additional points would be

  x = 7/8 ±1, f(x) = -18.0625 +4·1 = -14.0625

  x = 7/8 ±2, f(x) = -18.0625 +4·2^2 = -2.0625

The answers of part B locate two points on the graph, and help find the vertex. The answer of part C confirms the graph as opening upward.

__

Additional comment

I find a graphing calculator to be very helpful finding the roots and making the graph.

A chef got 9 bags of onions. The red onions came in bags of 6 and the yellow onions came in bags of 7. If the chef got a total of 59 onions, how many bags of each type of onion did he get?

Answers

Answer:

yellow = 5 bags

red = 4 bags

Step-by-step explanation:

two equations can be derived from the question

x + y = 9 equation 1

6x + 7y = 59 equation 2

where x = number of red onion bags

y =  number of yellow onion bags

Multiply equation 1 by 6

6x + 6y = 54 equation 3

subtract equation 3 from 2

y = 5

substitute for y in equation 1

x + 5 = 9

x = 9 - 5

x = 4

The number line diagram shows the distance between each number in a set of ata and the data's mean of 12. Which is the mean absolute deviation? 5 6 H HHH 6 7 8 9 10 11 12 13 14 15 16 17 18 mean​

Answers

the mean is 12.6 and your welcome

Answer:4

Step-by-step explanation:

The Mean Absolute Deviation is 4 from the data given

Some one please help me at this point I am so tireddd thankyou

Answers

Answer:

4b+8 is 12b I'm pre sure

dont know about the rest sorry

What value of x makes this proportion true?
3/x = 15/40
A. 5
B. 28
C. 8
D. 105

Answers

Answer:

here the value of X should be 8 to make this proportion true

3/8=15/40

by cross multiplying

15*8=40*3

120=120

therefore the option C is correct

please tell me answers ​

Answers

Answer:

×=50,×+09+673-23

×=(33)+(2×)

Based on the information marked in the diagram triangle PQR and triangle STU must be congruent

Answers

it’s true bc of aas postulate
Its true due to the question

What is the quotient?
-4/5 divided by 2

Answers

Answer: -0.4

-(4/5) ÷2=-0.4

Explanation: The quotient is the answer to a division problem.

Answer:

-0.4

fraction form: -4/10 or -2/5

Carroll bikes 1 kilometer east, 4 kilometers north, and then 5 kilometers east again. How far is Carroll from her starting position?

Answers

Answer:

10.5 km

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

1² + 4² =

1 + 16 = 17

√17 = 4.123km

4² + 5²

16 + 25 = 41

√41 = 6.40 KM

total distance = 6.4 + 4.12 = 10.52

+
(10x+2)

(9X+18) find the value of x

Answers

16

Step-by-step explanation:

10x+2=9x+18

-2 -2

10x=9x+16

-9x -9x

x=16

Hope this helps! :)

Answer:

x = 16°

Step-by-step explanation:

(10x + 2)° = (9x + 18)°

10x + 2 = 9x + 18

10x + 2 - 2 = 9x + 18 - 2

10x = 9x + 16

10x - 9x = 9x - 9x + 16

x = 16°

You roll a standard six sided number cube. What is the probability of rolling a prime number or a number greater than 4?

Answers

4/6. Prime numbers 2,3,5 and the numbers 5 and 6 but you don’t include 5 twice so it would be 4 possible numbers out of 6 you can roll that are a prime number and that is greater than 4

Please please help me

Answers

Answer:

22is the answer cuz it is

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

here 4 and 9 are the legs of the right angled triangle so let them be a and b respectively . third side is the hypotenuse because it is opposite to 90 degree so let it be c.

4^2 + 9^2 = c^2

16 + 81 = c^2

97 = c^2

[tex]\sqrt{97} = c[/tex]

Square ABCD has an area of 1600. E is the midpoint of AC and F is the midpoint of AB.
What is the area of the trapezoid BCEF?
O 300 square units
O 1,200 square units
600 square units
O 109 square units

Answers

The answer is C I believe

Help me please, i need this answer I don't know what it is.

Answers

I think the answer has something to do with math

Help me please i will give brainliest.

Answers

Answer:

1) 13 Students were surveyed

2) 3 students

3) 7 Students

4) 10 Books

Pls mark brainliest

Answer:

13 students were surveyed

3 students read 5 fiction books

7 students read more than 5 fiction books

The maximum number was 10

Step-by-step explanation:

Hope this helps

-Unbrand-

Sadly even though I answered first I didn't get any credit. Quite sickening.

Can someone please help me!!!

Answers

Answer:

Option C

Step-by-step explanation:

same logic as in 2D problems. if C wasn't true, then the two planes couldn't be parallel

The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?

(7, 3)
(0, 7)
(7, 0)
(3, 7)

Answers

Answer:

The point is (7,0).

Step-by-step explanation:

The equation of a linear function in point-slope form is as follows :

[tex]y-y_1=m(x-x_1)[/tex] ...(1)

Where

(x₁,y₁) are the coordinates of the point which  the line passes through it and (x,y).

Harold correctly wrote the equation y= 3(x–7)

or we can write it as :

y-0=3(x-7) ...(2)

Comparing equations (1) and (2), we get :

x₁ = 7 and y₁ = 0

So, the point is (7,0).

The correct option is (c).

Answer:

C

Step-by-step explanation:

edge

A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 25% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?

- PLEASE HELP im in the middle of an exam

Answers

Answer:

1695.6 cubic feet

Step-by-step explanation:

Given that,

The corn fills 25% of the height of the silo.

The diameter of silo, d = 12 feet

Radius, r = 6 feet

Height, h = 60 feet

The volume of the part of the silo that is filled with corn is given by :

[tex]V=25\%\ of\ \pi r^2 h\\\\=\dfrac{25}{100}\times 3.14\times 6^2\times 60\\\\V= $$1695.6\ feet^3[/tex]

So, the required volume is equal to 1695.6 cubic feet.

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