Brianna and Aisha start a small business making handmade soaps to sell at fairs and local stores.
Brianna can make 50 bars of soap in 40 hours, and Aisha can make 50 bars of soap in 75 hours. How long will it take Aisha to make 50 bars of soap?

Answers

Answer 1

Answer: 75 hours

Step-by-step explanation:

"Aisha can make 50 bars of soap in 75 hours"

Answer 2

The division is one of the four fundamental arithmetic operations. The time it will take to make 50 soap bars if they both work together is 25.4543 hours.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.


Given that Brianna can make 50 bars of soap in 40 hours, and Aisha can make 50 bars of soap in 75 hours. Therefore, we can write,

Soaps Made Briana in an hour = 50 bars/40 hours

                                                   = 1.25 soap bars per hour

Soaps Made Aisha in an hour = 50 bars/75hours

                                                   = 0.7143 soap bars per hour

Now, together the number of soap bars they can make in an hour is,

Number of soap bars in an hour = 1.25 + 0.7143 soap bars per hour

                                                      = 1.9643 soap bars per hour

Further, the time it will take to make 50 soap bars if they both work together is,

Time is taken = Number of soaps/ Number of soaps in an hour

                       = 50 soap / 1.9643 soap bars per hour

                       = 25.4543 hours

Hence, the time it will take to make 50 soap bars if they both work together is 25.4543 hours.

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Related Questions

-6(2x+4)+1/2(8+3x)=-20

Answers

x = 20
isolate the variable by diving each side by factors that don’t contain the car
It would be 0.
here is my work

What is a sticker price of higher education

Answers

Sticker price refers to the published tuition and fees, whereas net price refers to the amount the student actually pays after financial help which is much lower than the sticker price.

Sticker price

The sticker price of a college education is the entire annual cost. This cost covers the whole cost of tuition every year, books, lodging, and board, as well as any other charges the campus may levy, such as a parking permit or library card fee.

In this report, there are two prices listed: a sticker price and a net price. The sticker price of a college education is the entire annual cost. Every year's full tuition, books, housing, and board are included in this amount.

Hence sticker price refers to the published tuition and fees

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6. Reggie went to the grocery
store and purchased several
items. The cereal he bought cost
$2.10, which was twice as much as
the eggs. What was the price of the
eggs?

Answers

$1.05 is half the price of the eggs, so the answer is $1.05
cereal = $2.10
eggs = $2.10 divided by 2
2.10/2=1.05

price of eggs = $1.05

Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water. If Ruby holds a 1-meter long net at 0.5 meter above sea level, What will be the answer?

Answers

It should be noted that Ruby will be able to reach the fish

What is sea level?

It should be noted that sea level simply means the sea base level that is used for measuring the elevation and the depth on the Earth.

It should be noted that Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water and Ruby holds a 1-meter long net at 0.5 meter above sea level.

It should be noted that he will be able to each the fish. This will be illustrated as:

=1m - (0.4 + 0.5)

= 1 - 0.9

= 0.1m

Therefore, the long net is enough to reach the fish.

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Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water. If Ruby holds a 1-meter long net at 0.5 meter above sea level. Can she reach the fish?

The mean of the commute time to work for a resident of Boston is 27.1 minutes. Assume that the standard deviation of the commute time is 8.3 minutes.

a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of themean?

b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?

c) What are the commute times within 1.4 standard deviation?

Answers

a) The minimum 75% of commuters in Boston has a commute time within 2 standard deviation of the mean.

b) The minimum 60.93% of commuters in Boston has a commute time within 1.6 standard deviation of the mean.

c) Commute times within 1.4 standard deviation are lie between 15.48 to 38.72.

Explanation:

Given that

The mean of the commute time to work for a resident of Boston is 27.1 minutes.the standard deviation of the commute time is 8.3 minutes.

To find

a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean?b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?c) What are the commute times within 1.4 standard deviation?

So, according to the question

We know that

The minimum percentage within k standard deviations of the mean,

                            = (1- [tex]\frac{1}{k^2}[/tex] )×100

a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean?

The minimum percentage within 2 standard deviations of the mean,

                            = (1- [tex]\frac{1}{2^2}[/tex] )×100

                            = (1- [tex]\frac{1}{4}[/tex] )×100

                            = ( [tex]\frac{4-1}{4}[/tex] )×100

                            =  [tex]\frac{3}{4}[/tex] ×100

                            = 3 × 25

                            = 75%

b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?

The minimum percentage within 1.6 standard deviations of the mean,

                            = (1- [tex]\frac{1}{1.6^2}[/tex] )×100

                            = (1- [tex]\frac{1}{2.56}[/tex] )×100

                            = ( [tex]\frac{2.56-1}{2.56}[/tex] )×100

                            =  [tex]\frac{1.56}{2.56}[/tex] ×100

                            = 1.56 × 39.06

                           = 60.93%

c) What are the commute times within 1.4 standard deviation?

Within 1.4 standard deviations,

     commute times  = 27.1 ± (1.4×8.3)

                                 = 27.1 ± 11.62

      for + sign,

                                 = 27.1 + 11.62

                                 = 38.72

      for - sign,

                                 = 27.1 - 11.62

                                 = 15.48

Commute times within 1.4 standard deviation are lie between 15.48 to 38.72.

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Which is the mean? a density curve that models the distribution of a quantitative variable shown here. identify the location of the mean and median by letter. justify your answer.

Answers

The location of the mean and median by letter are C and B, respectively

How to identify the location of the mean and median by letter?

The given parameter is the density curve that models the distribution of a quantitative variable

From the density curve, we can see that:

The density curve is a right-skewed distribution

In a right-skewed distribution, the median is the middle line and the mean is to the right of the median

This means that

Median = B

Mean = C

Hence, the location of the mean and median by letter are C and B, respectively

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Someone can help me please

Answers

4-3i^2

Step-by-step explanation:

(2-3i)^2

(2-3i)(2-3i)
4-6i-6i+3i^2
3i^2-12i+4

simplify (2^4)^-1. Answer options: 1 over 2^-4, 1 over 2^4, -2^4, and 2^3

Answers

[tex]\frac{1}{2^{4} }[/tex]  is simple form of the equation.

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

Simply solve this equation = [tex](2^{4}) ^{-1}[/tex]

multiply the powers   = [tex]2^{-4}[/tex]

now right on simple form  = [tex]\frac{1}{2^{4} }[/tex]

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write an equation using f(x) notation to show how the numbers in the domain and the range are related {(1,2), (-2,-4), (3,6), (0,0)

Answers

Answer:

f(x) = 2x

Step-by-step explanation:

It is obvious that the relationship between x and y is y = 2x from the numbers given

So equation is f(x) = 2x

A5.1 m long ladder is leaning against a
wall. The wall stands perpendicular to the
ground. The base of the ladder is 1.8 m
away from the wall.
Work out the size of the acute angle that
the ladder makes with the ground.
Give your answer in degrees to 1 d.p.

Answers

The acute angle the ladder makes with the ground is 69.3 degrees.

How to find the acute angles formed from the right triangle ?

The ladder is 5.1 m and it is leaning against a wall.

The wall is perpendicular to the ground.

This means the ground forms 90 degrees with the wall.

This situation forms a right angle triangle.

Therefore, the acute angle the ladder forms with the ground can be found as follows:

Using trigonometric ratios,

cos ∅ = adjacent / hypotenuse

where

∅ = acute angle

Therefore,

adjacent side = 1.8 m

hypotenuse side = 5.1 m

Hence,

cos ∅ = 1.8 / 5.1

∅ = cos⁻¹ 0.35294117647

∅ = 69.3326835065

∅ = 69.3°

Therefore, the acute angle the ladder makes with the ground is 69.3 degrees.

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Solve the inequality and express your answer in interval notation. x^2+10x+6 <0

Answers

The interval where the function is negative is:

(-5 - √19 , -5 + √19)

That is the solution set of the inequality.

How to solve the inequality?

Here we have the following inequality:

x^2 + 10x + 5 < 0

So we want to find the values of x for which the quadratic function is negative.

To do so, we can solve:

x^2 + 10x + 5 = 0

The solutions are given by the quadratic formula:

x = (-10 ± √(10^2 - 4*6))/(2*1)

x = (-5 ± √19)

notice that the quadratic has positive leading coefficient, so it open upwards, then the function is below zero between the two roots, on the interval:

-5 - √19 < x < -5 + √19

Then the correct option is D.

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Please I need help !!!!

Answers

A--->A'=(-2,6)

B--->B'=(7,3)

Solve for x.
A=x+y-2

Answers

Answer:

x=1

Step-by-step explanation:

Find the area of the polygon with the given vertices.
K(-3, 4), L(1, 4), M(-4,-2), N(0, - 2)

Answers

Answer: 24.33 units

Step-by-step explanation: If we appropriately measure the distance between the points we can depict a parallelogram with 2 sides measuring 6.083 units and 2 others measuring 4 units. We multiply 4 x 6.083 and get the area: 24.33 units

Answer: 24

Step-by-step explanation: As the formula to solve this equation is A= 1/2 | [(x1y2) - (x2y1)] + [(x2y3) - (x3y2)] + [(x3y4) - (x4y3)] + [(x4y1) - (x1y4)]

Which would be (with the numbers)

[(-3 x 4) - 1 x 4)] + [(1 x -2) - (0 x 4)] + [(10 x 2) - (-4 x -2)] + [(-4 x 4) - (-3 x -2)]

which lowers down too

(-12 - 4) + (-2 - 0) + (0 - -8) + (-16 - 6)

Then that gets us (absolute values) of

|-16| + |-2| + |8| + |-22|

using absolute values that gets us to

16 + 2 + 8 + 22

Which is equal to 48.

Don't forget to divide by 2 because we need half of it as it says in the beginning of the formula (A = 1/2)

So that gives us the answer of 24.

Hope this helped :)

Also, this could help by labeling each coordinate as a (X, Y) Number

[-3(x1) , 4(y1)}  (you could write the x and y part above it)

And then you go down the list and label each as either x1 , x2 , x3 , x4 (for the left side of comma) and then y1 , y2, y3 , y4 (for the right side of the comma)

I need help I dot understand someone explain it step by step

Answers

Use Pythagorean theorem where c is the missing side

7. Ln(x)=y (log(x)) what is y? show your work.​

Answers

I think this will help

Chloe reads 7 pages of a mystery book in 9 minutes. What is her average reading rate in pages per
minute?

Answers

Answer:

1.25

Step-by-step explanation:

you have to take the 9 pages and divide by 7 and then divide that by 60 and u get 1.25

Aisha drove 17 miles in 3 hours. On average, how fast did she drive, in miles per
hour? Enter your answer as a whole number, proper fraction, or mixed number in
simplest form.

Answers

Answer: 5.6 repeating

Step-by-step explanation: No explanation added.

Given the function g(x)=11x^2+28x, solve for g(x)=−12.

Answers

Answer: -2, -6/11

Step-by-step explanation:

[tex]11x^2 +28x=-12\\\\11x^2 +28x+12=0\\\\(11x+6)(x+2)=0\\\\x=-2, -6/11[/tex]

Polygon B is a scaled copy of Polygon A using a scale factor of 5. Polygon A's area is what fraction of Polygon B's area?

Answers

Polygon A's area is 1/25 times of Polygon B's area.

What do you understand by polygon?

In geometry, a polygon is a two-dimensional closed shape with straight sides that is flat or plane. It doesn't have any curved edges.

A polygon's sides are also known as its edges. The vertices (or corners) of a polygon are the points where two sides meet.Polygons are named after the number of sides they have. Polygons are commonly represented by the symbol n-gon, where n indicates the number of sides.A 5-sided polygon is called a 5-gon, a ten-sided polygon is called a 10-gon, and so on.

Now, as per the given question;

The formula of the scale factor is given as;

Area of Polygon B = (scale factor)²×(Area of Polygon A).

The scale factor is given as 5.

(Area of Polygon B)  = (5)²×(Area of Polygon A)

Further simplifying;

(Area of Polygon B) = (25)×(Area of Polygon A)

or,

Area of Polygon A = (1/25)×Area of Polygon B

Therefore, the area of polygon A is found to be 1/25 times times the area of the polygon B.

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How many bacteria are in the Petri dish after 120 minutes ?

Answers

Answer:

D. [tex]2^9[/tex]

Step-by-step explanation:

[tex]2^6*2^3 = 2^9[/tex]

We can just add the exponents together.

If it were continued another 120 minutes past this, it would be

[tex]2^9*2^3 = 2^1^2[/tex]

Tanner bought 7 pieces of bubble gum for 56¢. Write
and solve an equation to find g, the cost of one piece of bubble gum

Answers

Answer: 8 = g

Step-by-step explanation:

56 divided by 7 = g

8 = g

Solve the following compound inequality. Graph the solution.
5x2-30 and 5x ≤ 15
What is the solution? Select the correct answer below and, if necessary, fill in the answer boxes within your choice.
OA. xs
OB. xs
OC. x2
OD. SXS (Type integers or decimals.)
E. The compound inequality has no solution.
OF. The solution is all real numbers.
XXXB
or x2 (Type integers or decimals.)
(Type an integer or a decimal.)
(Type an integer or a decimal.)

Answers

The solution to the inequality is x ≤ 3

How to solve the compound inequality and graph the solution?

The compound inequality is given as:

5x ≤ -30 and 5x ≤ 15

Divide both sides of the individual inequality in the compound inequality by the coefficient of the variable x

So, we have

x ≤ -6 and x ≤ 3

One of the above inequalities can be true

x ≤ 3 is a proper set of x ≤ -6

So, the solution to the inequality is x ≤ 3

See attachment for the graph of the inequality

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In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. What is the geometric mean annual increase for the period?

Answers

33.7618% is the geometric mean annual increase for the period

Rate of Increase Over Time(GM)=[tex]\sqrt[n]{value end period / value start period }[/tex] -1

In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. we have to find  the geometric mean annual increase for the period

from 1885 to 2008 that is (2008- 1885=23 ) in 23 years the GM become

therefore n= 23

value of start period = 326030

value of end period = 262359000

rate of increase over time GM= [tex]\sqrt[23]{262359000/326030} -1[/tex]

                                                 = 1.337618 -1

                                                  =0.337618

rate of increase is 33.7618% per year

33.7618% is the geometric mean annual increase for the period

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Need ALL answers asap in four proofs
You get all of them right you get brainly!!!

Answers

Answer:

me not soluesan match huiudresst

gina visits her local farm to buy apples oranges to make a fruit salad. she has 10.00 to spend.

Answers

Based on the fact that Gina has $10.00 to spend, if she only buys oranges, the number of oranges she can buy is 29.41176 oranges.

How to find the number of oranges?

The number of oranges that Gina can buy when she visits her local farm to buy apples and oranges for a fruit salad can be found as:

= Amount that Gina has to spend / Price of oranges

Solving for the total amount of oranges gives:

= 10 / $0.34

= 29.41176 oranges.

The full question is:

Gina visits her local farm stand to buy apples and oranges to make a fruit salad. She has​ $10.00 to spend. If she buys only oranges and oranges are $0.34 how much oranges can she buy

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Write each binary number as a base-ten number. 111110

Answers

The binary base-10 would be 62

Hope this helps

How to find the slope of the line that passes through the points (−2,3) and (5,−7)

Answers

Answer:

[tex]\frac{-10}{7}[/tex]

Step-by-step explanation:

Use the formula

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

another way to say this is Δy divided by Δx

Δ means "change in"

m = slope

The y2 value is -7

The y1 value is 3

The x2 value is 5

The x1 value is -2

Plug those values in the formula

m = [tex]\frac{(-7)-3}{5-(-2)}[/tex]

Simplify

m = [tex]\frac{-10}{7}[/tex]

The slope is [tex]\frac{-10}{7}[/tex]

need help asap please

Answers

Answer:

3/30 for 66 lo siento I core help you

For each function, find the vertex, the axis of symmetry, the y-intercept, the x- intercepts (if any), whether the parabola opens upward or downward, the intervals on which the function is increasing or decreasing, the maximum or minimum value, and the range. Then sketch the graph. y = -2(x + 3)² + 8​

Answers

Given parabola [tex]y=-2(x+3)^{2} +8[/tex]  have vertex (-3,8)

axis of symmetry :x=-3

x intercepts (-1,0),(5,0)

y intercepts (0,-10)

Maximum value (-3,8)

Range is y[tex]\leq 8[/tex] or (-∞,8]

Parabola is increasing in (-∞,-3) and decreasing in (-3,∞)

How to identify parabola type from vertex form and its attributes?

The parabola equation y=ax²+bx+c

The parabola equation in its vertex form is

y = a(x - h)² + k, where

a  is same as the a coefficient in the standard form;

(h, k)  is coordinates of the vertex of parabola

h and k can be calculated as

h = - b/(2a)

k = c - b²/(4a)

If a is negative the parabola opens downward and if a is positive the the parabola opens upward

Axis of symmetry : x= h

For  a parabola y=ax²+bx+c if a<0  then the range is y [tex]\leq k[/tex] and if a>0 then range is y[tex]\geq k[/tex]

For Maximum and minimum value , if a<0 then vertex is the maximum value and if a>0 then vertex is the minimum value.

For given equation [tex]y=-2(x+3)^{2} +8[/tex]

As this equation is in vertex form

h=-3, a=-2, k=8

Therefore, vertex = (-3,8)

For x intercept put y=0

Then [tex]y=-2(x+3)^{2} +8\\y\\=-2x^{2} -12x-10\\y=0\\\\x=-1,-5\\put x=0 \\y= -10[/tex]x intercepts (-1,0),(5,0)

y intercepts (0,-10)

Axis of symmetry : x= -3

[tex]y=-2(x+3)^{2} +8\\y=-2x^{2} -12x-10[/tex]

As a is negative therefore range is y[tex]\leq 8[/tex] or (-∞,8]

As a is negative therefore vertex (-3,8) is the maximum value

f'(x)= -4x-12

f'(x)=0 gives x= -3

f'(x)>0 in (-∞,-3), parabola is increasing in (-∞,-3)

f'(x)<0 in (-3,∞), parabola is decreasing in (-3,∞)

Please find the graph attached.

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The cells have a thick sheath, beneath which rotary internal periplasmic flagella embedded in the cell membrane allow the cells to twist in a corkscrew motion. What disease may jordan have?. what are the details in a sentence or paragraph that can help you find the meaning of an unfamiliar word? a. other people b. context clues c. dictionaries d. clarification items The nerves that make up the spinal cord carry commands between the __________ and the brain. What is the image point of (9, -2) after a translation right 1 unit and down 1 unit 2(3x-2)-4x+1= 9 solve for x Charlie Did anyone see the Flash Mob in the shopping centre yesterday? I'd only popped out to buy a few things and it took me ages to my lunchtime shopping because of the enormous crowd of people. The security guards had been notified that the flash Mob was coming but they refused to take action. Polly Chill out - It's only dancing and i'm certain the council noise pollution officers were informed. It only lasted for a few wonderful minutes and it made me smile all day. The music was uplifting - everyone who watched it stayed happy for the day. Charlie There were hundreds of people dancing and ven more people watching. The dancing was really rubbish - I could've done better myself-and the music was too lound-my ears were ringing all day. I was late for an extremely important appointment. Amir I would like to apologise for my any annoyaaance caused and i trust you were not inconienced. I can reassure everbody that the community police were informed . I was in the Flash Mob-I replied to an advert online and was sent some information. A few days later we gathered in a caf'e and the organiser told us not to mention it to anybody. We got together to practise so we could cheer people up by entertaining them. Using the text, identify three ways the Flash Mob made people feel good. Who brought up the idea of writing the Declaration of Independence?A. Benjamin FranklinB. John AdamsC. Richard Henry Lee degree of postoperative curve correction decreases risks of postoperative pneumonia in patients undergoing both fusion and growth-friendly surgical treatment of neuromuscular scoliosis 7. One hundred three and one half gallons drained in the last 9 minutes from a pool. The water drains at a constant rate. How many gallons drain per minute from the pool?