A glass is
1
6
full. Then 95cm3 of orange juice is poured in.
The glass is now
4
5
full. What is the total volume of the glass?

Answers

Answer 1

Answer:

let x = the amount of orange juice in a full glass.

the glass is 1/6 full = 1/6 * x

add 95 cubic centimeters and the glass becomes 4/5 full.

equation for that is:

1/6 * x + 95 = 4/5 * x

subtract 1/6 * x from both sides of this equation to get:

95 = 4/5 * x - 1/6 * x

multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:

95 = 24/30 * x - 5/30 * x

combine like terms to get 95 = 19/30 * x

multiply both sides of the equation by 30/19 to get:

30/19 * 95 = 30/19 * 19/30 * x

simplify to get:

30/19 * 95 = x

solve for x to get x = 150.

the volume of the glass is 150 cubic centimeters.

1/6 * 150 = 25

4/5 * 150 = 120

the difference between 4/5 full and 1/6 full is 95 cubic centimeters.

solution is that the volume of the glass is 150 cubic centimeters.

Step-by-step explanation:


Related Questions

Which of the following graphs could be the graph of the function f(x)+-0.08x(x2-11x+18)

Answers

Answer:

option 3, c.

Step-by-step explanation:

Answer:

Its C on ed

Step-by-step explanation:

52.35 for 15 gallons

Answers

What are you trying to ask?

You are shopping for a new computer monitor. It is regularly priced at $200 but it is now on sale for 25% off. After the sale discount is applied, you can also use your 20% off coupon. What is the final price?

a. 110
b. 120
c. 130
d. 140

Answers

Answer:

b=120

Step-by-step explanation:

Using proportions, it is found that the final price of the new computer monitor is given by:

b. 120

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

It is regularly priced at $200 but it is now on sale for 25% off, hence 75% of $200 is paid, so:

P1 = 0.75 x 200 = 150.

You can also use your 20% off coupon, hence the final price is of 80% of $150, then:

FP = 0.8 x 150 = $120.

Which means that option B is correct.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ2

What is the range of the function y=e4x?
Oy < 0
Oy>
O y<4
Oy>4

Answers

9514 1404 393

Answer:

  y > 0

Step-by-step explanation:

The range of the function ...

  y = e^(4x)

is the same as the range of any exponential function:

  y > 0

The function can take on any positive value, but will never be 0 or negative. It has a horizontal asymptote of y=0.

The range of the given function is y > 0.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

y = e⁴ˣ

This is an exponential function.

The range of any exponential function is all the real numbers which are greater than 0.

So here also, the range is all the real numbers which are greater than 0.

So range is y > 0.

Hence the correct option is B.

Learn more about Exponential Functions here :

https://brainly.com/question/28596571

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¿Cómo se resuelve este problema? Con explicacion por favor.
El problema esta en el archivo

Answers

Answer:

?

Step-by-step explanation:

A parallelogram is a rectangle if and only
if its diagonals are congruent.

Answers

Answer:

A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.

Step-by-step explanation:

It is a rhombus.Hope this helps

Helllp and show all the work n o troll answer plz and if you don’t feel like doing the work plz don’t answer plz

Answers

Answer:

same way here too lol ok so nvm about the points but can i pls just have brainliest

A pair of shoes had a sale price of 7650 what was the retail price at a 10% discount

Answers

Answer:

make a proportion:

                        90% - 76.50$

original price is 100% - x$

x=76.50$*100%/90%=85$

Answer: original price is 85$

Step-by-step explanation:

Which set could represent P?

Answers

2 should be the correct answer

Ben has a collection of Nickels and dimes has a total of $5.35 how maybe nickels and dimes does he need

Answers

Answer:

5.35$ worth

Step-by-step explanation:

a gym charges a sign-up fee of $40 and then a monthly rate of $20 per month. How long before you spend $300 on this gym membership? which equation would help you solve (let x be the # of months)​

Answers

Answer:

Where cgym is the cost after m months. To find when the cost is equal, equate the right side of both equations and solve for m :.

Answer:

13 months because 13 x 20 is 260 plus the sign-up fee is 300$ all together

Step-by-step explanation:

I know how to do these,but I’m pressing time and I’m at work so someone just help me out. You are appreciated.

Answers

Mean: 22

Median: 22

Range: 14

Midrange: 22

Answer:

the first one is correct

Step-by-step explanation:

i hope u give me a brainilest

Answer please ;)ANSWER PLEASE!!!!!!!!

Answers

Answer:

y intersect is -4 and x intersect is between 6 and 7...

Step-by-step explanation:

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?

Answers

Answer:

The answer is 50 or 55.

Step-by-step explanation:

Answer:

The answer is 50

Step-by-step explanation:

i did test on edg

A four-digit perfect square number is created by placing two positive two-digit perfect square numbers next to each other. What is the four-digit square number?

Answers

Answer:

1681

Step-by-step explanation:

In a four digit perfect square, the first two digits and last two digits taken seperately are also perfect squares.

Therefore, the answer is 1681 because 1681=41*41 and

16=4*4 and 81=9*9

Please I need some answers

Answers

Answer:

prime: 17 47 67

Composite: 25 48 99 161 171

25: 1,5,25

48: 1,2,4,6,8,12,24,48

99: 1, 3, 9, 11, 33, 99

161: 1, 7, 23, 16

171: 1,3,9,19,57,171,

And can i please get brainliest and have a good day

Find the measure of angle b.

Answers

Answer:

23 degrees

Step-by-step explanation:

157+b=180

The measure of angle b is 23° because 180°-157°=23°

URGENT. Find f(3) if
f(x)=x^3 + 2x^2-x-1

Answers

Answer:

41

Step-by-step explanation:

Jus replace x with 3 and put it in a calculator.

The answer is 41 because x = 3

Common factor 9 and 45​

Answers

Answer:

Step-by-step explanation:

The gcf of 9 and 45 can be obtained like this: The factors of 9 are 9, 3, 1. The factors of 45 are 45, 15, 9, 5, 3, 1. The common factors of 9 and 45 are 9, 3, 1, intersecting the two sets above

The COMMON FACTORS of 9 and 45 are 9, 3, 1.
hope this helps x

Subtract 8 from me. Then add 21. If you divide me by 4 and add 21 you get 29. What number am I?

Answers

Answer:

19

Step-by-step explanation:

x - 8 + 21 ÷ 4 + 21 = 29

x - 8 + 21 ÷ 4 = 29 - 21

                     = 8

x - 8 + 21 = 8 x 4

              = 32

x - 8 = 32 - 21

       = 11

x = 11 + 8

  = 19

Therefore the number is 19. A bit confusing to me at first but I solved it :)

Jane is a computer science major planning to take 4 courses next semester. She is planning to take 2 computer science courses and 2 courses from other areas. How many different schedules can she build?

Answers

Answer: 24 schedules.

Step-by-step explanation:

Given data:

Courses planning to take = 4

Computer courses = 2

Courses from other areas = 2

Solution:

This problem can be solved using permutation.

For Computer science courses.

npr = n! / ( n - r )!

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

For other courses.

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

Jane can have a total of 24 different schedules.

one school purchased 18 gallons of blue paint to decorate several of its classrooms. if each classroom needs 1 4/5 gallons of paint, then how many classrooms will get painted.

Answers

Answer:

18 gallons of paint could paint 10 classrooms.

Step-by-step explanation:

Given that the school bought 18 gallons of paint, and that each classroom requires 1 4/5 of paint to be painted, to determine how many classrooms can be painted with that amount of paint, the following calculation must be performed:

4/5 = 0.8

1 + 0.8 = 1.8

18 / 1.8 = 10

Therefore, 18 gallons of paint could paint 10 classrooms.

Please help me with your the question attached below. Please show work I would like to learn this.

THANK YOU!

Answers

Answer: m∠5 = m∠7 = 67°

because a//b => m∠4 + m∠5 = 180°

⇔ 113° + m∠5 = 180°

⇔ m∠5 = 180 - 113 = 67°

because ∠5 and ∠7 are  2 opposing angles

=>  m∠5 = m∠7 = 67°

Step-by-step explanation:

Answer:

m ∠5 = 67°m ∠7 =  67°

Step-by-step explanation:

Givena║b, m ∠ 113To findm ∠5, m ∠7Solution

Angles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:

m ∠ 4 + m ∠5 = 180°m ∠5 = 180 ° - m ∠4 m ∠5 = 180° - 113° = 67°

Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:

m ∠7 = m ∠5 = 67°

How many groups of 5 are in the product of 523 and 45

Answers

there are 104.6 and 9 groups of 5 in 523 and 45

HELPPPP PLEASEEEEEEEEWEE HELPPPPPPPP

Answers

Answer:

calculate the rise over the run.

therefore, it's -8/7

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

-8/7 when you calculate

what is g(h(10))? on edge2020

Answers

Answer:

2√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = √(x - 4)

h(x) = 2x - 8

Step 2: Evaluate

h(10)

Substitute:                    h(10) = 2(10) - 8Multiply:                        h(10) = 20 - 8Subtract:                       h(10) = 12

g(h(10))

Substitute:                    g(h(10)) = √(12 - 4)Subtract:                       g(h(10)) = √8Simplify:                        g(h(10)) = 2√2

Answer: A

Step-by-step explanation:

here are the first three terms of a different sequence 1 2 4 write down two numbers that cold be the 4th and 5th terms of this sequence give the rule you have used to get your numbers

Answers

Answer:

8, 16, ×2

Step-by-step explanation:

3x - 17 = 2x + 35
Please help

Answers

Answer:

[tex]x = 52[/tex]

Step-by-step explanation:

We have the following equation:

[tex]3x -17=2x+35[/tex]

First we simplify the numbers.

[tex]3x -17+17=2x+35+17[/tex]

[tex]3x=2x+52[/tex]

[tex]3x-2x=2x-2x+52[/tex]

[tex]x=52[/tex]

Answer:

x = 52

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

3x - 17 = 2x + 35

Step 2: Solve for x

Subtract 2x on both sides:                           x - 17 = 35Add 17 to both sides:                                    x = 52

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         3(52) - 17 = 2(52) + 35Multiply:                             156 - 17 = 104 + 35Subtract/Add:                    139 = 139

What is the range?
-3 -8 -5 0 1 -2 -5 4 6

Answers

Answer:

14

Step-by-step explanation:

Range = Maximum value - minimum value

          = 6 - (-8)

          = 6 + 8

           =  14

Answer:

8- -5 -3 -2 0 1 4 6

There are 36 carpenters in a crew. On a certain day, 18 were present. What percent of the crew was present?

Answers

Answer:

On this day, 1/2, or 50%, of the crew was present.

Step-by-step explanation:

Simplify: 18/36 = 1/2

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as Brainliest. Have a great day!

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