Roseanne makes 1 1/2 L of lemonade. She pours 1/4 of liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does Rosanne'a brother drinks?

Answers

Answer 1

The  lemonade does Rosanne'a brother drinks is  [tex]1\div 2[/tex] liter

The calculation is as follows:

The remaining should be

[tex]= (1\ 1\div 2) -(1\div 4) \\\\= 1\ 2\div 4 -1\div 4 \\\\= 1\ 1\div 4 \ liters[/tex]

Since The brother drinks 2/5 of that,

So,

[tex]= (2\div 5)(1\ 1\div 4 L) \\\\= (2\div 5)(5\div 4 L) \\\\= 2\div 4 L \\\\= 1\div 2 L[/tex]

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Related Questions

If there are 16 ounces in a pound. How many pounds are in 24 ounces?

Answers

Answer: 1.5 pounds

Step-by-step explanation: 16 oz(one pound) + 8oz(half a pound)= 24oz

16+16 is 32 - 8 = 24 so

Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees

Answers

Step-by-step explanation:

Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees

A swimming pool is being drained at a constant rate of 800 gallons per hour. After 5 hours of draining, 11,000 gallons of water remain in the pool.

Answers

Answer:

Step-by-step explanation:

In 5th hour remainder is 11,000 gal

Therefore at 4th hour 11,800 gal

At 3rd hour 12,600 gal

At 2nd hour 13,400 gal

at 1st hour 14,200 gal

Part B

At the beginning there is 15,000 gal

Before the draining began, the pool contained 14,200 gallons of water.

The water is being drained at a rate of 800 gallons per hour.

The function f(t) = 14,200 - (800t - 800)


[tex] \sqrt[4]16 - 6 \sqrt[3]343 + 18 \sqrt[5]243 - \sqrt{196} [/tex]

Answers

Answer:

Step-by-step explanation:

= 2- 6*7 + 18*3 - 14

=2-42+54-14

=2 + 12- 14

= 14-14

=0

Answer:

the ans is 0

Step-by-step explanation:

=2- 6*7 + 18*3 - 14

=2-42+54-14

=2 + 12- 14

= 14-14

=0

A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following. 1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute. 2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses. Which statement is correct? Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses. Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes. Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute. Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.

Answers

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

Let's rule out the options given one by one.

Option 1: Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses.

This is not true, because 1.2 is a rate, it just means that the carrier can finish 1 house in a minute, and also have time to get started delivering to the second house. The total number of houses has to be a whole number, but the rate doesn't.

Option 2: Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes.

This option is also incorrect. Delivering mail for 7.5 minutes just means 7 minutes and 30 seconds, which is definitely possible.

Option 3: Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

This option is correct. 1.2 is the rate of which the carrier delivers mail.

Option 4: Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.

This option is also incorrect. Although it is possible to deliver mail for 7.5 minutes, it is not the unit rate, it is the total amount of time it would take.

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

Jennifer can do 8 math problems in 20 minutes. How long would it take her to complete a 10 question test at the same rate?

Answers

Answer:

25 minutes

Step-by-step explanation: 20 divided by 8 equals 2.5 so she take 2 and a half minutes per question. 2.5 plus 2.5 equals 5 so just add five minutes on her original time. 25 minutes

Answer:

25 minutes

Step-by-step explanation:

→You can set this problem up as a proportion, like so:

[tex]\frac{8}{10} =\frac{20}{x}[/tex]

→Cross multiply:

[tex]\frac{8x}{200}[/tex]

→Divide 200 by 8:

x = 25

49 - 3 + 9 times 8 divided by 2

Answers

Answer:

82

Step-by-step explanation:

49 - 3 + 9 times 8 divided by 2

Answer:

82

Step-by-step explanation:

49 -3 + 9*8/2

PEMDAS

Multiply and divide from left to right

49 -3 + 72/2

49 -3 + 36

Add and subtract from left to right

46 +36

82

Which interval for the graphed function contains the local
minimum?
O f-1,1]
(1.2)
O(-3,-1)
O (-5, -3)

Answers

(-5,-3) is the correct answer

Solve the system using elimination.
-9x - 4y = 1
3x + 3y = 3
([?], [])

Answers

Step-by-step explanation:

-9x-4y=1....eq1

3x+3y=3.....eq2

multiply eq2 by 3

to get

9x+9y=9....eq3

add eq1 and 3

0+5y=10

5y=10

divide both sides by 5

y=2

substitute y=2 in to eq1

-9x-4(2)=1

-9x-8=1

grouping of like terms

-9x=1+8

-9x=9

divide both sides by -9

x= -1

now the answer is

x= -1, y=2

Find the volume of this prism.



pls ;( ​

Answers

Answer:

Go to google and write how to find a volume of a prism

Step-by-step explanation:

By the way what i am going to say is a small tip you can use

Go to google write ( quizlet) and you can write the name of your book the volume and the chapter rand the lesson believe me you will find what you want

If you didn't find the answers you can talk with me so i can give other programs because i have want to help you

David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?

Answers

Answer:

4x^2+10x-2=0

Step-by-step explanation:

So the total area of mirror: 2*3 = 6 ft sq

8-6 = 2 ft sq is the area of the frame

x is the thickness of the frame

so we have (2*x)*2+(3*x)*2+x*x*4= 2

4x+6x+4x^2=2

-> 4x^2+10x-2=0

Solve for x. Round your answer to the nearest thousandth. a. 8.691 c. 6.474 b. 6.252 d. 12.956

Answers

Answer:

The answer is B 6.252

Step-by-step explanation:

Find the value of 4 + (27 - 12 ∙ 2) ÷ 2.

Answers

Step-by-step explanation:

4 + (27 - 12 * 2) / 2

4 + (27 - 24) / 2

4 + 3/2

5 1/2

Answer:

5 1/2

Step-by-step explanation:

4 + (27 - 12 ∙ 2) ÷ 2=

4 + (27 - 24) ÷ 2=

4 + 3/2= 5 1/2

Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room's temperature decreased by 0.5^\circ0.5



0, point, 5, degrees Celsius each minute, and Quinn woke up 606060 minutes later when it was 10^\circ10



10, degrees Celsius.

Answers

Answer:

[tex]f(x)=-0.5x+40[/tex]

Step-by-step explanation:

To solve this problem, we need to find the linear function. We know that the constant rate of change is -0.5° Celsius per minute. Also, after 60 minutes the temperature was 10° Celsius. So, we have a one point and the slope of the linear function, let's use the point-slope formula

[tex]y-y_{1} =m(x-x_{1} )\\y-10=-0.5(x-60)\\y=-0.5x+30+10\\y=-0.5x+40[/tex]

Where the y-intercept is at (0, 40).

Now, we have two points to graph the relation between minutes and Celsius degrees.

Therefore, the room's temperature as a function of time is

[tex]f(x)=-0.5x+40[/tex]

Its graph is attached.

Answer:

Put one of the dots 2 spaces obove 60 and the other dot 3 spaces above 50.

Step-by-step explanation:

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B. A coordinate plane with a circle drawn. The center of the circle is the origin, (0, 0). The circle has a diameter of 16 units. There is a line segment drawn from Point A at (8, 0), passing through (0, 4) to Point B at (negative 4, 6). Which equation represents Grant’s path? y = 2 – 4x y = 4 – y = 6 – y = 8 – 2x

Answers

Answer:

y = 4 - x/2

Step-by-step explanation:

Since the line passes through the points A(8,0) and B(4,6), we find that gradient of that lime m = (y₂ - y₁)/(x₂ - x₁) where (8,0) = (x₁, y₁) and (-4,6) = (x₂, y₂).

So, m = (6 - 0)/(-4 - 8) = 6/-12 = = -1/2.

Since the line passes through the point (0,4), the equation of the line is

m = (y - y₃)/(x - x₃) where (x₃, y₃) = (0,4)

So, -1/2 = (y - 4)/(x - 0)

            = (y - 4)/x

    -x/2 = y - 4

         y = 4 - x/2

which is the equation of the line.

Answer:

B

Step-by-step explanation:

Lauren's birthday is in January. Determine the approximate probability that her brother, Adam, also has a birthday in January.

A) 1/2
b) 1/6
c) 1/12
d) 1/144
Please helpp!!

Answers

It should be answer C

There are 15 students going on a field trip. If 3/5 of them pack there lunches, how many students pack their lunches?

Answers

Answer:

9 pack their lunches

Step-by-step explanation:

Take the number of students and multiply by the fraction that pack their lunches

15 *3/5 =

15/5 * 3

3*3

9

PLEASE HELP me solve algebraically. J) 4(1-2j) = 7(2j + 10) K) 4/3h=12 L) n/5= 2 + n/3 M) d/4 - 2/3 = 2 N= 7= -2 (-3 - x)

Answers

Answer:

J ) j = - 3,

K ) h = 9,

M ) d = - 24,

N ) x = 1 / 2

Step-by-step explanation:

J )

[tex]4(1-2j) = 7(2j + 10),\\4-8j=14j+70,\\-8j=14j+66,\\\\-22j=66,\\j = - 3,\\\\Solution, j = - 3[/tex]

I applied the distributive property, resulting in the second step. Afterwards I subtracted 4 from either side of the equation, received - 22j = 66 after combining like terms, and divided - 22 on either side to get j = -3.

K )

[tex]4 / 3h = 12,\\4h = 36,\\h = 36 / 4 = 9\\\\Solution, h = 9[/tex]

Multiplying each end of the equation by 3 resulted in the simplified expression 4h = 36. Dividing either side by 4, I got h = 9.

M )

[tex]d / 4 - d / 3 = 2,\\3d - 4d = 24,\\- d = 24,\\\\Solution, d = - 24[/tex]

Taking the LCM of 4 and 3, I got 12, multiplying either side by 12 / 12. Combining like terms and dividing - 1 on either side of the equation - d = 24, I received d = - 24.

N )

[tex]7 = - 2 * ( - 3 - x ),\\- 3 - x = - 7 / 2,\\- x = - 1 / 2,\\\\Solution, x = 1 / 2[/tex]

After dividing the first equation by - 2 on each end, I received a simplified equation that, by adding 3 on it's part, got x to be = 1 / 2

The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?

Answers

Answer:

The explicit formula is Tn = 18[(2/3)^(n-1)]

Where n is the term we are looking for

Step-by-step explanation:

Here, we want to get an explicit formula to model the equation

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

Thus, seeing how the equations are progressing, we can definitely see a pattern.

That is Tn = (2/3)^(n-1)(18)

Answer:

Answer in image.

Step-by-step explanation:

given that a*b=2a-3b,then 2*(-3)=​

Answers

Answer:

13

Step-by-step explanation:

Given: a*b=2a-3b

To find: 2*(-3)

Solution:

Numbers that are used for counting are known as natural numbers. Number along with the digit 0 are known as whole numbers.

In the question, [tex]*[/tex] is used to define relation between a and b as [tex]a*b=2a-3b[/tex]

To find 2*(-3), use the given condition: a*b=2a-3b

Put [tex]a=2,b=-3[/tex]

[tex]2*(-3)=2(2)-3(-3)=4+9=13[/tex]

Given that a*b = 2a-3b,then 2*(-3)=​ 13

The given binary operation is:

a*b = 2a  -  3b

Applying this binary operation to 2*(-3), we are going to substitute a = 2 and b = -3 into the binary operation a*b = 2a  -  3b

If a = 2 and b = -3:

2*(-3)  =  2(2)  -  3(-3)

2*(-3)  =  4   +  9

2*(-3)  =  13

Therefore, given that a*b = 2a-3b,then 2*(-3)=​ 13

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please help! find the area is the parallelogram.​

Answers

Answer:

24cm^2

Step-by-step explanation:

3cm times 8cm = 24cm^2

Answer:

A=b*h

Step-by-step explanation:

base=5

height=3

5*3=15

15 is the answer

C is the midpoint of AD. B is the midpoint of AC. BC = 14. What is
the length of BD?

Answers

Answer:

Length of segment BD = 42 units

Step-by-step explanation:

Since C is the midpoint of AB,

Then segment AC = segment CD

Since B is the midpoint of BC,

Then the length of segment AB = Length of segment BC = 14 units

Length of AC = 2 × (14)

                      = 28 units

Length of AC = length of CD = 28 units

Length of segment BD = Length of BC + length of CD

                                      = 14 + 28

                                      = 42 units

Therefore, length of segment BD is 42 units.

Please help me answer.

Answers

Answer:

Slope-intercept: y=3/4x+1

Sorry idk how to do general form

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope, b being the y-intercept.

The slope of this graph is 3/4, and the y-intercept is 1.

Answer:

Slope-intercept form: [tex]y=\frac{3}{4}x+1[/tex]

General form: [tex]-3/4x+y-1[/tex]

Step-by-step explanation:

Firstly, to get the slope intercept form, we need to find the slope and the y-intercept.  To find the slope, we can use the slope formula and calculate the "rise over run" for these two points. The coordinate of the first point is (0, 1) , and the coordinate of the second point is (4, 4). If x1 = 0, x2 = 4, y1 = 1, and y2 = 4, we can plug those values into the slope formula that I mentioned earlier, which is [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_{1}}}[/tex]. So, after we plug in those values we get in the two points, we can see that [tex]\frac{4-1}{4-0}[/tex], so the slope is [tex]\frac{3}{4}[/tex]. The x moves right 4 times and the y goes up 3 times. Finally, the y-intercept value is 1 because when x = 0, y is 1, and the point we used for the slope formula (0, 1) proves that. For the slope-intercept form, [tex]mx+b[/tex], where m is the slope and b is the y-intercept, m is [tex]\frac{3}{4}[/tex] and b is 1. So, our final answer for the slope-intercept form is [tex]y=\frac{3}{4}x+1[/tex]. Now we can find the general form. To do this, we must get one side of the equation to equal 0. Using our slope-intercept equation, [tex]y=\frac{3}{4}x+1[/tex], we can subtract y from both sides to get 0 on the left, like this: [tex]0=\frac{3}{4}x+1-y[/tex]. Then, we can rearrange the variables to general form: [tex]0=\frac{3}{4}x-y+1\\[/tex]. That is our general form answer. To recap, to find the slope, find the coordinates of the two points, and then plug in those points into the slope formula to find the steepness of the line. Then, add the y intercept that we can see on the graph. For general form, subtract y from both sides and rearrange the equation. Hope this helps!

Hannah babysits to earn money. She charges $6.50 to babysit for the first hour. She charges $5.75 for each additional hour. Let "n" equal the number of hours after the first hour. Which expression represents how much Hannah charges? *

Answers

$6.50 + $5.75n hope this helps

What numbers are not square or even?

Answers

Answer:

Search Results

Featured snippet from the web

Odd and even square numbers

As all even square numbers are divisible by 4, the even numbers of the form 4n + 2 are not square numbers. As all odd square numbers are of the form 4n + 1, the odd numbers of the form 4n + 3 are not square numbers.

Step-by-step explanation:

The graph of which function passes through the point (0,2/pi)?
y=cos-1(x)
y=csc-1(x)
y=sec-1(x)
y=sin-1(x)
thanks!

Answers

Answer:

[tex]y=sin^{-1}x[/tex]

Step-by-step explanation:

Given: A point is [tex](0,2\pi)[/tex]

To find: function whose graph passes through the given point

Solution:

A trigonometry explains the relationship between the sides and the angles of the triangle.

The inverse trigonometric functions [tex]sin^{-1}x\,,\,cos^{-1}x\,,\,tan^{-1}x[/tex] help to find the value of an unknown angle of a right triangle when length of two sides are given.

Consider [tex]\sin y=x[/tex]

Put [tex]y=2\pi[/tex]

[tex]sin 2\pi=0[/tex]

So, point [tex](0,2\pi)[/tex] satisfies the function [tex]y=sin^{-1}x[/tex]

Therefore, graph of function [tex]y=sin^{-1}x[/tex] passes through [tex](0,2\pi)[/tex]

Answer:it’s A y=cos^1(x)

Step-by-step explanation:

Edge 2020


Find the value of x for which r || S.
A) 44
B) 10
C) Can't be determined.
D) 14

Answers

Answer:

x=44

Step-by-step explanation:

For the two lines to be parallel, the two angles have to add to 180 degrees

45+3x+3 =180

Combine like terms

3x+48 = 180

Subtract 48 from each side

3x+48-48=180-48

3x=132

Divide each side by 3

3x/3 = 132/3

x =44

The answer is A because 10 and 14 don’t fit the question at all.

Find the percent change if 70 is changed by 12

Answers

Answer:

[tex]82.8571428571[/tex] %

Solution:

[tex]70*x/100=12[/tex]

[tex]x/100=12/70[/tex]

[tex]70x=1200[/tex]

[tex]x=1200/70[/tex]

[tex]x=17.1428571429[/tex]

[tex]100-17.1428571429=82.8571428571[/tex]

Carl wants to put up a glow-in-the-dark sticker display on his bedroom ceiling. He needs a gallon of black paint which costs $12. The stickers cost $18 per package and he wants to buy 2 packages. Which of the following is a good estimation of how much change Carl will get back if he gives the cashier $60?

Answers

Answer:3a ?

Step-by-step explanation:

Answer:

✈️?

Step-by-step explanation:

Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?
y = −one fourthx2 + 5
y = −one fourthx2 − 5
y = one fourthx2 + 5
y = one fourthx2 − 5

Answers

Answer:

a) The equation of the parabola

                        [tex]y = \frac{-x^{2} }{4} +5[/tex]

Step-by-step explanation:

Explanation:-

Step(i):-

Given the directrix of the parabola y = 6

Focus of the parabola S(0,4)

The standard equation of the parabola

                  ( x- h)² = 4 a (y-k)

(h,k) is the vertex of the parabola

Axis of the parabola is parallel to y-axis

Given the directrix of the parabola y = 6

The directrix of the parabola y = k -a = 6

                                k-a =6 ...(i)

The focus of the parabola

                         S( h , K+a) = (0,4)

so   h = 0 and K+a =4

                          K+a =4 ....(ii)

Step(ii):-

Solving (i) and (ii) equations , we get

    Adding (i) and (ii) equations and we get

     K-a + k+a = 6 +4

               2 K = 10

                  K =5

Substitute   K =5 in equation (i)

             K -a =6

            5 -a =6

            5-6 =a

            a = -1

Step(iii):-

we have (h,k) =( 0,5)  and a = -1

The equation of the  parabola

                                 ( x- h)² = 4 a (y-k)

                                 ( x- 0)² = 4 (-1) (y-5)

                                x²  = -4 y + 20

                              -4 y =   x²  - 20

dividing '-4' on both sides, we get

                         [tex]y = \frac{x^{2} }{-4} +\frac{-20}{-4}[/tex]

                          [tex]y = \frac{-x^{2} }{4} +5[/tex]

Final answer:-

The equation of the parabola

                        [tex]y = \frac{-x^{2} }{4} +5[/tex]

                 

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