At a potluck, Agatha brings four dishes, Bertha brings three dishes, and five other friends bring no dishes but instead money to help pay for the food. If all the dishes are eaten up, and everyone eats the same amount, what fraction of the money should go to Bertha?

Answers

Answer 1

Answer:

3/7

Step-by-step explanation:

Agatha brings four dishes, Bertha brings three dishes. The total number of dishes brought = dishes brought by Agatha + dishes brought by Bertha.

Total dishes = 4 + 3 = 7 dishes

The remaining five friends brought money for the dishes. Therefore the fraction of money going to Bertha is the ratio of dishes brought to Bertha to the total number of dishes multiplied by the money. Therefore:

Fraction of the money should go to Bertha =  dishes brought by Bertha/total dishes

Fraction of the money should go to Bertha = 3/7 × money


Related Questions

Answer for Brainiest, 25 points and 5 stars with thanks

Answers

Range: 71.9

Spread out above the median

The range is the biggest number minus the smallest number. This makes sense. The range here is 81.3 - 9.4 = 71.9.

Next, see the two middle groups? You can see the median, 45.5. Does the left or right side seem more spread out? It's the right side. 34.7 is closer to 45.5 than 63.6 is to 45.5.

Hope that helped,

-sirswagger21

15. Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-9, -4, 1, 6, ...

Answers

Answer:

11, 16

Step-by-step explanation:

the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11

then 11 + 5 = 16

Answer:

11,16

Step-by-step explanation:

We are adding 5 each time

-9+5 = -4

-4+5 =1

To find the next two terms

6+5 =11

11+5 = 16

Find the perimeter of this figure. (Image down below)

Answers

Answer:

The answer is

44 ft

Step-by-step explanation:

The figure above is a rectangle

To find the perimeter of a rectangle we use the formula

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width of the rectangle

From the question

length = 14 ft

width = 8ft

Substituting the values into the above formula we have

Perimeter = 2(14) + 2(8)

= 28 + 16

We have the final answer as

Perimeter = 44 ft

Hope this helps you

Since perimeter is adding all the sides together it would be (8×2 = 16) and (14×2 = 28 ) so 28+16=44 ^^ I agree with the answer above :)

What is negative sqrt 64?

Answers

Answer:

8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer          

A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the water is represented by the equation y=-16x^2+12x, where x is the time (in seconds) since the jump began. The fish reaches its highest point above the surface of the water after 0.375 seconds. How far above the surface is the fish at this time?

Answers

Answer:

The fish is 2.25 ft above the surface at 0.375 seconds

Step-by-step explanation:

Given:

y=-16x^2+12x

x=0.375 seconds

Substitute x=0.375 into the equation

y=-16x^2+12x

= -16(0.375)^2 +12(0.375

= -16(0.140625) + 4.5

= -2.25 + 4.5

= 2.25

y=2.25 ft

The fish is 2.25 ft above the surface at 0.375 seconds

A study table of length 2 m and breath 1.25 m in decorted with square design of size 10x 10 find the number of such designs??? ​

Answers

Answer:

250

Step-by-step explanation:

Area of the shape of the table = Length * Breadth (Rectangular in nature)

Area of the study table = 2m * 1.25m

Converting the units to cm

Since 100cm is equivalent to 1m, hence;

Area of the study table = 200cm * 125cm

Area of the study table = 25000cm²

If the study table is decorated with square design of size 10cm x 10cm, then the area of one square of such design will be 100 cm².

The number of square designs = Area of the study table/area of one square design

= 25000/100

= 250

Hence the number of such design on the study table is 250

What is the inverse of the function h(x)=5/2x+4 h^{-1}(x)=

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}[/tex]

Thank you.

21. Find the distance between the points. Leave your answer
as a simplified square root
(-8,5), (-1.1)?

PLEASE answer as fast as you can. thanks​

Answers

Answer:

The answer is

[tex] \sqrt{65} \: \: \: units[/tex]

Step-by-step explanation:

To find the distance between two points we use the formula

[tex] \sqrt{ ({x1 - x2})^{2} + ( {y1 - y2})^{2} } [/tex]

where

( x1 , y1) and ( x2 , y2) are the points

From the question the points were

(-8,5), (-1.1)

Substitute the values into the above formula

That's

[tex] \sqrt{ ({ - 8 + 1})^{2} + ({5 - 1})^{2} } [/tex]

[tex] \sqrt{ ({ - 7})^{2} + {4}^{2} } [/tex]

[tex] \sqrt{49 + 16} [/tex]

We have the final answer as

[tex] \sqrt{65} \: \: units[/tex]

Hope this helps you

The amount of juice in a container is

normally distributed with a mean of

70 ounces and a standard deviation of

0.5 ounce. What is the probability that a

randomly selected container has more

than 70.5 ounces of juice?

Answers

Answer:

0.15866

Step-by-step explanation:

To solve for the above question, we use z score formula

z = (x - μ) / σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

x is the raw score = 70.5

μ is the population mean = 70

σ is the population standard deviation = 0.5

z = 70.5 - 70/ 0.5

z= 0.5/0.5

z = 1

We used the z score table to find the probability of z = 1

P( x = z) = P(x = 70.5)

= P( z = 1) = 0.84134

Hence, the probability that a randomly selected container has more than 70.5 ounces of juice is calculated as

P(x>70.5) = 1 - P(x =70.5)

P(x>70.5) = 1 - 0.84134 = 0.15866

Therefore, the probability that a randomly selected container has more than 70.5 ounces of juice is 0.15866.

Find the measure Of PR

Answers

Answer:

18

Step-by-step explanation:

The formula for this is a x b = c x d where a is SR, b is FR, c is QR and d is PR. This will give us the equation 9(16) = 8(5x + 8); 144 = 40x + 64; 80 = 40x; x = 2. Now, plug this into PR which will be 5(2)+8 = 18. This is your answer.

Plz help ASAP PLZZZ!!!

Answers

Answer:

A. EF

Step-by-step explanation:

Answer:

EF

Step-by-step explanation:

The reason is because EF and BC are in the same plane

Draw a line segment AB of length 6.6 cm. Bisect it perpendicularly at N using a

ruler and set squares

Answers

Step-by-step explanation:

If a line segment AB of length 6.6cm is drawn, bisecting it perpendicularly at N, we have two lines AN and NB of length 3.3cm each.

Because the line is bisected perpendicularly, the angles formed at the point of bisection are 90 degrees.

Write each number in standard notation.


1.057 x 10^3

5.24 x 10^5

3 x 10^8

Answers

Answer:

1,057.

524,000.

300,000,000

The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.

Answers

Answer:

The area of the shaded part is 36.53 cm²

Step-by-step explanation:

The dimension of the side of the square ABCD = 8 cm

The shaded part is seen to be the area of intersection of two quarter circles

The dimension of the radius of the quarter circles = The side length of the square

Therefore;

The dimension of the radius of the quarter circles = 8 cm

The figure can be taken as being formed by the two quarter circles with a square removed

The shaded area is the

Therefore, the area of the shaded part Sₐ, is given by the relation;

Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square

Given that the dimensions (radius) of the two quarter circles are the same, we have;

Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²

Area of the square = (Side length of the square)² = 8² = 64 cm²

Sₐ =  (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²

The area of the shaded part = 36.53 cm².

Solve the system by substitution.
y = -2
y =
5x + 40

Answers

Answer:

x = 8.4

y = -2

Step-by-step explanation:

Step 1: Sub y=-2 into y=5x + 40

-2 = 5x + 40

Step 2: Solve for 'x'

-2 = 5x +40

-42 = 5x

x = 42/5

x = 8.4

Step 3: Solve for 'y'

y is given in the question, y=-2

That should be negative 4 as it divided into 40

What is the approximate volume of the whole sphere? Use pie=3.14 and round to the nearest whole cubic unit.
a. 42 cubic units
b. 126 cubic units
c. 4,187 cubic units
d. 73,385 cubic units

if you could awnser this as soon as possible that would be great :)​

Answers

Answer:

c. 4187 cubic units

Step-by-step explanation:

V = 4/3 π r³

= 4/3(3.14)(10)³

= 4186.6666666

Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distance (in meters). Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters. A. 15 m B. 130−−−√ m C. 178−−−√ m D. 13 m

Answers

Answer:

C. 178−−−√ m

Step-by-step explanation:

Given the following :

v = final velocity (in m/s)

u = initial velocity (in m/s)

a = acceleration (in m/s²)

s = distance (in meters).

Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters

Using the 3rd equation of motion :

v^2 = u^2 + 2as

v^2 = 8^2 + 2(3)(19)

v^2 = 64 + 114

v^2 = 178

Take the square root of both sides :

√v^2 = √178

v = √178

A portion of a line or Ray that extends from one point to another point is called what

Answers

Answer: line segment

Step-by-step explanation:

A line segment is a ray that extends from one point to another. Hope this helps!

Answer:

line segment

Step-by-step explanation:

If a portion of a line has two endpoints (two little black dots on its end), then it is a line segment.

If it has one dot and an arrow, its a ray. This has an endpoint and goes on forever in the direction of the arrow.

Find the length of the missing side. Leave your answer in simplest radical form. A. 296 ft B. 2[tex]\sqrt{74}[/tex] ft C. [tex]\sqrt{206}[/tex] ft D. [tex]\sqrt{26}[/tex] ft

Answers

Answer:

B

Step-by-step explanation:

Since this is a right triangle and we are given the two legs, we can use the Pythagorean Theorem.

The Pythagorean Theorem is:

[tex]c^2=a^2+b^2[/tex]

Where c is the hypotenuse (longest side) and a and b are the two legs.

Plug in 10 and 14 for a and b (it doesn't matter which one) and solve for c.

[tex]c^2=10^+14^2\\c^2=100+196\\c^2=296\\c=\sqrt{296}=\sqrt{4\cdot 74}=\sqrt4\cdot\sqrt{74}=2\sqrt{74}[/tex]

Which of these relations are functions?
х
O
-2 6 2 -6
-5 21 15-15
y
11
y
4
2
O
x
4
-2
4
o
{(-5,-7), (-2,-7), (7,17), (-5,21)}
y

Answers

For each value of y, the number of value of x must be one. Then the correct options is D.

The complete question is attached below.

What is relation function?

The relation function is given as, for every independent value, there is a dependent value.

Let the function be y = f(x).

For each value of x, the number of value of y may one or two.

But for each value of y, the number of value of x must be one.

Then the correct options is D.

More about the relation function link is given below.

https://brainly.com/question/2253924

#SPJ1

solve for x 4(x+2)=48

Answers

Answer: 10

Step-by-step explanation:

4(x+2)=48

4x+8=48

4x=40

x=10

Answer:

x=10

Step-by-step explanation:

4(x+2)=48

Divide each side by 4

4/4(x+2)=48/4

x+2 = 12

Subtract 2 from each side

x+2-2= 12-2

x = 10

An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane from the airport (round to the nearest mile)? (2 points) PLEASE HELP ASAP 30 POINTS!!!!!!! need full explanation and work

Answers

Answer:

299.99 miles

Step-by-step explanation:

Since the plane traveled due west,

The total angle is 49.17 + 90

Represent that with θ

θ = 49.17 + 90

θ = 139.17.

Represent the sides as

A = 170

B = 150

C = unknown

Since, θ is opposite side C, side C can be calculated using cosine formula as;

C² = A² + B² - 2ABCosθ

Substitute values for A, B and θ

C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17

C² = 22500 + 28900 - 51000 * Cos 139.17

C² = 51400 - 51000 (−0.7567)

C² = 51400 + 38,591.7

C² = 89,991.7

Take Square Root of both sides

C = 299.9861663477167

C = 299.99 miles (Approximated)

Hence, the distance between the plane and the airport is 299.99 miles

2 pts Question 1 Write an expression to model the phrase: Myles has $635 and is earning $120 each week as a lifeguard. (Use x as your variable) 2 pts Wuestion 2​

Answers

Answer:

The equation is y= 120x+ 635

Step-by-step explanation:

Hey there!!!,

in this problem we are expected to present an equation for the given scenario, and a way out is to model it after the equation of line

i.e y= mx+c

From the problem statement we can see that the constant amount Myles have is $635, and also earnings of $120 weekly.

Comparing the statement withe equation of line we have

  y= 120x+ 635

as "x" is the number of weeks worked and $635 is the constant amount at hand.

Should you need further clarification on this, let me know

Un cultivo de bacterias crece y se duplica cada dos horas .¿Cu`antas veces mas grande sera el numero de bacterias en 12 horas?El numero inicial es X. Expresa usando potencias ayuda profis es para hoy ; )

Answers

Responder:

64 visitas

Explicación paso a paso:

Dado lo siguiente:

Número inicial de bacterias = x

Tasa de crecimiento = se duplica cada dos horas

¿Cuántas veces mayor será la cantidad de bacterias en 12 horas?

La cantidad de veces (n) en las que la cantidad de bacterias se duplica:

n = 12 horas / período de tasa de crecimiento

n = 12/2 = 6

Eso significa que el crecimiento de bacterias se duplicará 6 veces en 12 horas.

Por lo tanto, la cantidad de bacterias después de 12 horas será:

Después del 1er período = x * 2 = 2x

2do período = 2 ^ 2 * x = 4x

Después de n período

= 2 ^ n * x

Después de 6 períodos:

2 ^ 6 * x = 64x

Número de veces que las bacterias serán mayores en 12 horas:

Inicial = final

x = 64x

Comparando ambos

Las bacterias serán 64 veces más grandes después de 12 horas.

Can someone help!!! And explain please

Answers

Answer:

400(π+2) feet square

Step-by-step explanation:

let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)

but since the cage is part of the circle and not full turn πr²/8

area of the circleπr²+ half area square

(π(40√2)²)/8 +40²/2

3200π/8+1600/2

400π+800

400(π+2) feet square

Simplify the following: a) [ -6 +22 – 6 + 8 ] ÷ ( -9 ) b) 400 ÷ { 40 – (-2) -3 – ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 – (-1673) e) 490 x 98

Answers

Step-by-step explanation:

a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )

[ -6 +22 – 6 + 8 ] = 18

18 ÷ (-9) = -2

b) 400 ÷ { 40 – (-2) -3 – ( -1)}

{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40

400 ÷ 40 = 10

c) 40 x -23 + 40 x -17

(40 x 23) + (40 x -17)

920 + (-680)

= 240

d) 1673 x 99 – (-1673)

(1673 x 99) + 1673

1673 x 100

= 167300

e) 490 x 98 = 48020

Hope this helps ^-^

10 points :) Graph this for me :P

Answers

Answer:

-2≤x≤2   f(x)=[x+3]

first  the sign is ≤ it means the point is solid point and the interval is x+3

Explain how to solve 3^x-4=6 using the change of base formula log base b of y equals log y over log b. include the solution for x in your answer. Round your answer to the nearest thousandth.

Answers

Answer:

x = log 10/log 3

Step-by-step explanation:

3^x - 4 = 6

3^x = 10

We take log base 3 of both sides since log_3 3^x is simply x.

log_3 3^x = log_3 10

x = log_3 10

We have an answer for x, but it is a log base 3. We want log base 10.

Now we use the change of base formula.

log_b y = log y/log b

x = log 10/log 3

Help pleasee!!! Tyyyyy

Answers

Answer:

G. 7

Explanation:

The longest side must be less than the sum of the two shorter sides.

The difference between the longest and shortest sides must be less than the middle side.

l+a = 11

l < (a + 4) ... l < (11 - l + 4)

... 2 l < 15 ... l <  7.5

--Variables

l = 7 (Longest Side/Answer)

a = 4 (Other Missing Length)

m = 4 (Side Given)

One of the factors of 6x3 − 864x is 4 x2 x + 12 x − 8

Answers

Your answer is x + 12

Hope this helped!

Answer:

x+12

Step-by-step explanation:

Correct on test

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