Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;

Answers

Answer 1

Answer:

Here is the missing part.

Cups and liters:-1 litre = 2.1 cups

Cups and pints:- 1 pint = 2 cups

Pints and liters:-1 litre = 2.1 pints

Step-by-step explanation:

Step 1:

7 cups + 3 liters = 9.8 pints

[tex]7c+3l=9.8p[/tex]

5 liters - 9 cups = 6 pints

[tex]5l+9c=6p[/tex]

Cups and Liters

[tex]7c+3l=9.8p[/tex]

[tex]p= 7c+3l/9.8[/tex] (put in equation 2)

[tex]5l-9c= 7c+3l/9.8\\49l-88.2c=7c+3l\\49l-3l=7c-88.2c\\46l=45.2c[/tex]

1 Liter = 2.1 Cups.

Step 2:

Cups and Pints

[tex]7c+3l=9.8p\\3l=9.8p-7c[/tex]

[tex]l=9.8p-7c/3[/tex](put in equation 2)

[tex]5(9.8p-7c/3)-9c=6p\\(49p-35c/3)-9c=6p\\49/3p-35/3c-9c=6p\\49/3p-6p=35/3c+9c\\31/3p=62/3c[/tex]

1 Pint = 2 Cups.

Step 3:

Pints and Liters

[tex]7c=9.8p-3l[/tex]

[tex]c=9.8p-3l/7[/tex](put in equation 2)

[tex]5l-9(9.8p-3l/7)=6p\\5l-63/5p+27/7l=6p\\5l+27/7l=6p+63/5p\\62/7l=93/5p[/tex]

​1 Liter = 2.1 Pints.


Related Questions

El 60% de los discos son de música clásica y el 10% es música para bailar si Fabián tiene 90 discos cuántos son de cada uno

Answers

Respuesta:

54 discos son de música clásica

9 discos son de música para bailar

:)

Find the volume of the cone. round your answer to the nearest tenth.​

Answers

Answer:

18 and if I round it off to the nearest tenth it will be 20

just so you know I'm not that good at maths


How much of a radioactive kind of xenon will be left after 15 days if the half-life is 5 days and
you start with 96 grams

Answers

Answer:

12 grams

Step-by-step explanation:

15/5 = 3 half lives

(1/2)³ = 1/8 of the original amount will remain

96 * 1/8 = 12 grams

Answer:

Step-by-step explanation:

Radioactive decay problems are very similar to compound interest formulas, except the rate is subtracted from one, instead of adding to one.

I.e.

mass at time t, m(t) = M (1 - r)^(t/h)

where

M = initial mass (grams)

m (t) mass left at time t (grams)

h = half-life in number of days

r = 0.5 from "half-life"

t = time lapse in number of days

Here

M = 96

h = 5

t = 15

m(15) = 96(1-0.5)^(15/5)

= 96 (1/2)^3

= 12 grams

NEED ASAP NOWWWWWW TY

Answers

Answer:

subtract 8 from both sides

Step-by-step explanation:

the answer is B im pretty sure

I’m stuck on this question plz help

Answers

Answer:

3(n-8)

Step-by-step explanation:

the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number​

Answers

Answer:

The third number is 11

Step-by-step explanation:

First, you multiply 15 by 3 to get the sum(45) and then you add 18 and 16 to get 34. Lastly, you will minus 45 and 34 and your answer will be 11.

Find the angle for this problem

Answers

Answer:

ans: 31°

Step-by-step explanation:

<EFG = <EFH + <HFG

2x+52= 21 + ( x+31)

2x-x= 21 +31 -52

x= 0

so our question is to find <HFG so,

x+31°= 31°

what is the answer to 7m-6,m=8

Answers

Answer:

50

Step-by-step explanation:

When given the following equation, and information,

7m - 6

m = 8

One must substitute the value of (m) into the equaiton. Then simplify and solve to evaluate the equation,

7m - 6

7(8) - 6

56 - 6

50

Answer:

50

Step-by-step explanation:

7m-6

Let m= 8

7(8) -6

Multiply first

56-6

Then subtract

50

A function has the points (1,5), (3,6), (4, 10), and (2, y).
Which point, (2, y), would keep this a function?
(4,11)
(4,5)
(3,8)
(6,3)

Answers

Answer:

sorry I don't know the answer

A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties

Answers

Answer:

The slope of the line is [tex]m = \frac{3}{5}[/tex] and the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex].

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of [tex]x[/tex] there is one and only change in [tex]y[/tex], fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

[tex]m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}[/tex] (1)

Where:

[tex]x_{o}, x_{f}[/tex] - Initial and final x-coordinates of the line.

[tex]y_{o}, y_{f}[/tex] - Initial and final y-coordinates of the line.

If we know that [tex](x_{o}, y_{o}) = (0,0)[/tex] and [tex](x_{f},y_{f}) = (8,4.8)[/tex], then the slope of the line is:

[tex]m = \frac{4.8-0}{8-0}[/tex]

[tex]m = \frac{3}{5}[/tex]

From graph we conclude that x-intercept of the line is [tex]b = 0[/tex]. Hence, the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex] and we proceed to plot the expression with the help of a graphing tool.

Point slope form equations can be converted into slope intercept form. Distinguish whether the following
equations are the equations of the same line. Prove and explain your answer. Show your work for your
teacher to review.
y+ 1 = 5(x + 2) and y = 5x + 10
PLEASE HELP IM LITERALLY DYING

Please help I will give brainlist

Answers

Answer:

they are NOT the same

Step-by-step explanation:

y+ 1 = 5(x + 2) is  y = 5x + 9

distribute the 5 and get 5x + 10

when you subtract the 1 from both sides the 10 becomes a 9

Bab needs help with mafs

Answers

Answer:

The 4th option

The following is a parallelogram solve for the variables

Answers

Answer:

x = 51, y = 17

Step-by-step explanation:

Consecutive angles sum to 180° , so

x + 129 = 180 ( subtract 129 from both sides )

x = 51

-------------------------------------

Opposite angles are congruent, so

3y = x = 51 ( divide both sides by 3 )

y = 17

Step-by-step explanation:

x + 129° = 180°

x = 180°- 129°

x = 51°

3y + 129° = 180°

3y = 180° - 129°

3y = 51°

y = 51°/3

y = 17°

Segments BD and CE are axes of the ellipse below.
Which of the following reflective symmetries apply to the ellipse below?

Answers

Answer:

Yes and Yes

Step-by-step explanation:

If you fold them over on both sides then they overlap perfectly, therefore they are reflective.

Kevin drew a diagonal inside a quadrilateral. He realizes the it always make 2 congruent isosceles triangleso. What kind of quadrilateral did Kevin use to draw the triangles ?

Answers

Answer:

The square is the quadrilateral.

Step-by-step explanation:

A quadrilateral is a 2 dimensional geometric shape. It has four sides which may be or may not be equal.

If a quadrilateral is a square and we make its diagonal so that we get two triangles.

These two triangles are isosceles triangle as the two sides are equal and the square has four equal sides and the triangles are congruent to each  other.  

here, the triangles ABC and ADC are congruent and isosceles.

Darcy harvests 8.3/4 acres of corn every 5/6 end fraction of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest per hour?

Answers

Given:

Darcy harvests [tex]8\dfrac{3}{4}[/tex] acres of corn every [tex]\dfrac{5}{6}[/tex] of an hour.

Darcy harvests corn at a constant rate.

To find:

How many acres does she harvest per hour?

Solution:

We have,

Acres harvest in [tex]\dfrac{5}{6}[/tex] of an hours = [tex]8\dfrac{3}{4}[/tex]

Acres harvest in 1 hour = [tex]8\dfrac{3}{4}\times \dfrac{6}{5}[/tex]

                                      = [tex]\dfrac{32+3}{4}\times \dfrac{6}{5}[/tex]

                                      = [tex]\dfrac{35}{4}\times \dfrac{6}{5}[/tex]

Cancel out the common factors, we get

Acres harvest in 1 hour = [tex]\dfrac{7}{2}\times \dfrac{3}{1}[/tex]

                                      = [tex]\dfrac{21}{2}[/tex]

                                      = [tex]10\dfrac{1}{2}[/tex]

Therefore, she can harvest [tex]10\dfrac{1}{2}[/tex] acres of corn per hour.

Use sin -1, cos -1 or tan -1 to find the measure of

Answers

The answer is 23 degrees

cos A = 12/13
A = cos^-1 (12/13)
= 22.61 degrees

-2 1/4 divided by (3 1/3) =

Answers

- 9/4 divided by 10/3
Then multiply those numbers
-27/40 is the answer

pls need help... brainliest :))

Answers

Answer:

I am not the best in this type of math, the best thing I can do is help you.

You see that there is a pattern in the chart? X adds 2 every column, and Y adds 4 every column.

I believe the slope simplified is 2/1, if you are following y/x. If not, then the other way around.  

Unfortunately, I can't help you with the rest of the problem, but I hope you can get a good idea of what your supposed to do.

Have a good day.

Given the inequality, select all the values of x that make that inequality true 3(2k-1)<9 0 1 2 3 4

Answers

Answer:

We have the inequality:

3*(2*x - 1) < 9

Where the given options are:

0, 1, 2, 3, 4

(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).

Again, let's start with the inequality:

3*(2*x - 1) < 9

and let's isolate the variable x.

(2*x - 1) < 9/3 = 3

(2*x - 1) < 3

2*x < 3 + 1 = 4

2*x < 4

x < 4/2

x < 2

Then all the values of x that are strictly smaller than 2 make the inequality true.

From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:

x = 0

and

x = 1.

26. Find the volume of a ball with a radius of 7 cm.

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a sphere is

v= 4/3πr³

the radius is given as 7, so the volume is 4/3 × π × 7³

v= 4/3 × π × 343

  = 1436.76 cm³

I need to know what this is? Can someone tell me… Honestly. What is the value of x?

Answers

Answer:

98º

Step-by-step explanation:

The sum of angles in a triangle is 180

---------------------

The missing angle in the triangle

180 - 45 - 53 = 82º

-------------------------

x is supplementary to 82º

x = 180 - 82

x = 98º

Simplify: {36 ÷ (-9)} ÷ {(-24) ÷ 6)

Answers

Answer:

1

Step-by-step explanation:

{36 ÷ (-9)} ÷ {(-24) ÷ 6}

= (-4) ÷ (-4)

= 1

Answer:

1

Step-by-step explanation:

{36 ÷(-9)} ÷ {(-24) ÷ 6)

{36 ÷ -9} ÷ {-24 ÷ 6}

(-4) ÷ (-4)

1

using BODMAS rule (Bracket 0f Division , Multiplication and Addition , Subtraction)

Rule

first small bracket (    )    must be solved

then curly bracket {     }

then only big bracket [       ]

remebere while dividing -4 and -4 along with the numbers - signs also gets cancel. So ur answer is positive.

what is the bast estimation of mean for this data set

Answers

Answer:

mean = adding up all the numbers then divid by number of numbers

Step-by-step explanation:

I.e 2 5 7 9 7 add up = 30

30 ÷ 5 = 6 so 6 is the mode

You borrow $3,897 for a loan for college expenses with a 2.5% interest rate. How much interest is charged on the loan

Answers

Answer:

Amount of interest pay per year = $97.5 (Approx.)

Step-by-step explanation:

Given:

Amount borrow for college expenses = $3,897

Rate of interest = 2.5%

Find:

Amount of interest pay per year

Computation:

Using Simple interest formula;

Simple interest = Amount borrow x Rate of interest x number of year

Amount of interest pay per year = 3,897 x 2.5% x 1

Amount of interest pay per year = 3,897 x 0.025

Amount of interest pay per year = 97.425

Amount of interest pay per year = $97.5 (Approx.)

The Park Protectors is a group of elementary students and teachers from 3232 schools who pick up trash at local parks. The line plot shows the tons of trash they picked up this year.

Answers

Answer:

[tex]Each = \frac{15}{128}[/tex]

Step-by-step explanation:

Given

See attachment for line plot

Required

Determine the total trash picked

The data on the line plot can be represented as:

[tex]Trash \to Schools[/tex]

[tex]\frac{1}{8} \to 6[/tex]

[tex]\frac{1}{4} \to 8[/tex]

[tex]\frac{1}{2} \to 2[/tex]

[tex]1 \to 0[/tex]

The total trash picked is:

[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 8 + \frac{1}{2} * 2 + 1 * 0[/tex]

[tex]Total = \frac{3}{4} + \frac{8}{4} + 1+0[/tex]

Take LCM

[tex]Total = \frac{3+8+4+0}{4}[/tex]

[tex]Total = \frac{15}{4}[/tex]

The total picked by each school is:

[tex]Each = \frac{Total}{32}[/tex]

[tex]Each = \frac{15/4}{32}[/tex]

Rewrite as:

[tex]Each = \frac{15}{4*32}[/tex]

[tex]Each = \frac{15}{128}[/tex]

please help me!!!! i really need help!!! THANK YOU

explain how you got your answer = brainliest

Answers

Answer:

8.481 ft² .      I don't know if this is simplest form or not, but hopefully it is.

Step-by-step explanation:

How im going to do it is crafty, if i get it wrong im sorry.

Area circle = πr²

Area circle = 3.14 * 9 ≈ 28.27

28.27 / 360 = 0.07852777777

0.07852.777777 x 108 = 8.481

Answer = 8.481 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Please help!
The graphs of f(x)=−2x and g(x)=(12)x are shown.

What are the solutions to the equation −2x=(12)x ?

Select each correct answer.


-2

-1

2

4

Answers

Answer:

-1 and -2

Step-by-step explanation:

The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

The functions are given as:

Function 1

f(x) = -(x - 4)² + 1

Function 2:

f(x) = -(x - 2)² + 5

A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum

The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.

Read more about quadratic functions at:

brainly.com/question/4140287

#SPJ3

complete question;

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).

Question and choices are in the photo please explain the answer

Answers

Answer:

The answer is option C

Step-by-step explanation:

Product means that we have to multiply

So we multiply (3x - 4y) by (-2x + 5y - 6)

So the solution will be

3x(-2x + 5y - 6) - 4y(-2x + 5y - 6)

Note: don't forget that there are positive signs and negative signs in the equation

-6x² + 15xy - 18x + 8xy - 20y² - 24y

Group like terms

The like terms here are 15xy and 8xy so we group them

-6x² + 15xy + 8xy - 18x - 20y² - 24y

-6x² + 23xy + 8xy - 18x - 20y² - 24y

And that's your answer

11..

Solve the equation using the zero-product property.

-n(5n-4)=0


A. n= -1 or n= 4/5


B. n= 0 or n= -4/5


C. n= -1 or n= -4/5


D. n= 0 or n= 4/5

Answers

Answer:

D. n= 0 or n= 4/5

Step-by-step explanation:

Factor and set each factor equal to zero.

n

=

0

,

4

5

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

n

=

0

,

4

5

Decimal Form:

n

=

0

,

0.8

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