A container of coffee is 1/6 full. The container contains 2/3 a pound of coffee. a. Write a division expression that represents the capacity of the container. b.Write a multiplication expression that represents the capacity of the container. c.Find the capacity of the container.

Answers

Answer 1

Answer:

(a) [tex]x= \frac 2 3\div \frac 1 6[/tex]

(b) [tex]x= \frac 2 3\times \frac 6 1[/tex]

(c) 4 pounds

Step-by-step explanation:

Let the capacity of the container is [tex]x[/tex].

The container has coffee which is 1/6 of the capacity of the container and the amount of coffee is 2/3 pounds.

So, 1/6 of the capacity of the container has 2/3 pound of coffee, i.e

[tex]\frac 1 6 \times x = \frac 2 3\cdots(i)[/tex]

(a) From the equation (i), the required division expression for the capacity of the box, x, is

[tex]x= \frac 2 3\div \frac 1 6[/tex]

(b) The division expression can be changed to multiplication expression by interchanging the numerator and the denominator of the divisor. So, from part (a), the required multiplication expression for the capacity of the box, x, is

[tex]x= \frac 2 3\times \frac 6 1\cdots(ii)[/tex]

(c) From equation (ii), the capacity of the box is

[tex]x= \frac 2 3\times 6= 4[/tex] pounds.


Related Questions

alph and his brother are at a carnival. They separate from each other at the Ferris wheel at 1:00 PM, and they agree that they will each meet back at the Ferris wheel from time to time to see whether the other is ready to leave. Ralph checks the Ferris wheel every 15 minutes. Joe checks in every 24 minutes. At what time will they meet at the Ferris wheel again?

Answers

Answer: 3pm

Step-by-step explanation:

It will take them 120 minutes to meet back up together

24x5=120

15x8=120

Cinco menos tres cuartos x ?

Answers

Answer:

4.25

Step-by-step explanation:

5-3/4=4.25

sry if im wrong hope this helps

brainliest? please?

Cole is making decorated jellybean bags for a party. Each one contains 5/6 pounds of jellybeans. If cole has purchased 1,000 pounds of jellybeans, how many party bags can Cole make?

Answers

Answer:

1166 is the answer to your suggestion

Which shows the scale factor used to dilate triangle XYZ to form triangle X'Y'Z'?
A( 1/2 x, 1/2 y)
B (1/3 x, 1/3 y)

Answers

The answer you would be looking for is A. (1/2 x, 1/2 y)

Answer:

B

Step-by-step explanation:

A is wrong lol, trust me.

Can someone please help me

Answers

Answer:

x, 4 y, 3, z2

Step-by-step explanation:

0.93=

please explain how you got the answer.

Answers

fraction form 93/100
percentage form 93%
theres many wayss you could write this but im not sure i surley understand what you mean by this question

Write 73.5 as a mixed number.

Answers

The answer is 73 1/2

51 divided by 3 is k.
Solve for k.
k
=

Answers

Answer:

k=17

Step-by-step explanation:

k=51/3

Answer: k=17

Step-by-step explanation: 51 divided by 3=17, so k has to be 17

What integer divided by -5 equals -6?
-30
24
-24
30

Answers

Answer:

30

Step-by-step explanation:

30/-5=-6

due to integer rules the number would be negative

what is the slope (m) and the y-intercept (b) for y = 4x -8 *

Answers

y=-4x-8

To find x-intercept / zero , substitute y=0

0=4x-8

Move Variable to the left-hand side and change its sign

-4x=-8

Divide both sides of the equation by -4

Answer: x=2

The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?

Answers

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

[tex]P(x)=-15x(x-8)[/tex]

To find:

The current which will produce the maximum power.

Solution:

We have,

[tex]P(x)=-15x(x-8)[/tex]

[tex]P(x)=-15x^2+120x[/tex]

Differentiate with respect to x.

[tex]P'(x)=-15(2x)+120(1)[/tex]

[tex]P'(x)=-30x+120[/tex]      ...(i)

To find the extreme point equate P'(x)=0.

[tex]-30x+120=0[/tex]

[tex]-30x=-120[/tex]

Divide both sides by -30.

[tex]x=4[/tex]

Differentiate (i) with respect to x.

[tex]P'(x)=-30(1)+(0)[/tex]

[tex]P'(x)=-30<0[/tex] (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

Answer:

its 4 amperes

Step-by-step explanation:

khan said so

-4x-2y = -6

a. y = -2x + 3
b. y = 2x - 3
C. y = 2x + 3
d. y=-2x - 3

Answers

Answer:

B

Step-by-step explanation:

y = 2x - 3

.....20 characters smh

Samantha and Caden are planning an end-of-school party for the computer club at their school. They each suggest a recipe for punch to serve at the party.


Samantha's Recipe


3

1

2

parts cranapple juice


2

1

2

parts lemonade


Caden's Recipe


4

1

4

parts cranapple juice


3

3

4

parts lemonade


For each recipe, write a ratio that compares the number of parts of lemonade to the total number of parts.









Which recipe will have the stronger lemon taste? Explain how you determined your answer.

Answers

Answer and Step-by-step explanation:

Samantha's recipe has:

3 parts cranapple juice

2 parts lemonade

In total, this recipe has:

t = 3 + 2

t = 5

ratio = [tex]\frac{2}{5}[/tex]

Caden's recipe has

4 parts cranapple juice

3 parts lemonade

In total:

t = 4 + 3

t = 7

ratio = [tex]\frac{3}{7}[/tex]

The punch with stronger lemon taste will be the one whose recipe have a bigger proportion of lemon.

For Samantha's recipe, the proportion is 2 ÷ 5 = 0.4

For Caden's, 3 ÷ 7 = 0.43

Caden's punch will have a slightly stronger taste of lemon, because its proportion is slightly higher than Samantha's.

-3 = 1 3/5 + m .
what is m

Answers

Answer:

m = -4 3/5   or   -4.6

Step-by-step explanation:

First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.

hope this helped !! :D

Simplify the expression-2(-9g+4)

Answers

Answer:

18g - 8

Step-by-step explanation:

Multiply using the distributive property.

Answer:

18g-8 is the answer

Step-by-step explanation:

You have to do distributive property, which you do -2 by -9g which end sup in a positive 18g,then you multiply -2 and 4, the result is and -8. - by + is -. + by - is -. + by + is +, - by - is +

solve for x????????​

Answers

Answer:

x=54º

Step-by-step explanation:

So the angle is a 90º angle because of that square so you subtract 36 by 90 which will become 54

Hope this helps!

Answer:

x= 54º

Step-by-step explanation:

Let's break this down...

First, you have to look at the whole angle and if you are lucky you find a square.

The square is always equal to 90º

So to find x you need to subtract 90 and 36 which is 54

Hope this helps!

A patient has surgery for a knee replacement. Operating room charges are $3,286.00, anesthesia is $1,554.80, the charge for a hospital room for 3 days is $1,952.42 per day, medications total $1,297.59, and miscellaneous charges are $739,15, The insurance company pays $10,187.84.
What percent is paid by the insurance company?

Answers

Answer:

Step-by-step explanation:

Step one: Calculate the total cost --> $12734.80

I divided the amt insurance will cover by the total amt and I got 80%

PLS!!!!! HELP ME!!! I WILL MARK U!!!

Answers

Answer:

-5

Step-by-step explanation:

Answer:

The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.

Step-by-step explanation:

Answer the following above:

Answers

The answer is 5/6 because

Answer:

0.8333 as a decimal or [tex]\frac{5}{6}[/tex] as a fraction.

Step-by-step explanation:

First, you would divide -5/8 and -3/4 in the parenthesis. Right after, you would divide the numbers you have in the parenthesis and you would end up with 0.8333 or [tex]\frac{5}{6}[/tex] both are equal.

Only do 12(I will mark brainlest

Answers

Answer:

D

Step-by-step explanation:

None of them show the Unit Rate

Answer:

B because unit rate is for a single unit.

if the sides of a rectangle are 12 and 15, then the diagonal is

Answers

Answer:3x41 squared

Step-by-step explanation:

Help please

5w - w/x

When w = 6 and x = 2

Answers

Answer:

27

Step-by-step explanation:

5*6=30

6/2=3

30-3=27

Equation :

[tex]5w - \dfrac{w}{x} [/tex]

Given:

w=6

w=6x=2

Solution:

Let's put value of w and x

[tex]5 \times 6 - \dfrac{6}{2} [/tex]

Step 1:

[tex]30 - 3[/tex]

Step 2:

[tex]\purple{27}[/tex]

A secret recipe requires you mix chocolate and cream cheese in the ratio 3:2, based on weight. If you use 21 oz of chocolate, how much cream cheese do you need?

Answers

Answer:

14

Step-by-step explanation:

21/3

7*2


[tex]80 = 6400 \div [/tex]
plssss I need help​

Answers

is there more to the question?

Which of the following equations could you solve by first adding six and then dividing by negative three?
6.3 x= -9
+ 6 = -9
-3
-3 - 6 = -9
3 x-6 = -9

Answers

I’d say A

Because 6.3 plus 6 is 12.3 minus negative 3 is 9

Answer:

-3 x - 6 = -9

Step-by-step explanation:

i have 50 plus 15 or 13 followers on Tikok how much followers do i have :)

Answers

Answer:

65?

Step-by-step explanation:

what does 15 or 13 mean?

Consider the function rule: y = 9x – 7
What is the value of y when x=4?
What is the value

Answers

The value of y is 29

Since x=4, put 4 in 9x

y = 9(4) - 7
y = 36 - 7
y = 29

Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?

Answers

Given:

Jack's plan charges a fee of $24 plus $0.08 per minute he talks.

Jill's plan charges a fee of $10 plus $0.15 per minute she talks.

To find:

The equation which is used to determine when Jack and Jill's plans will be the same.

Solution:

Let t be time in minutes.

Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is

[tex]f(t)=24+0.08t[/tex]

Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is

[tex]g(t)=10+0.15t[/tex]

Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].

[tex]24+0.08t=10+0.15t[/tex]

Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].

HELP MATH HW URGENT!!!! I’ll give branliest to whoever can solve one at least!!

Answers

For the first one, it’s (-0.5 , 3)

Answer:

A. (-.5, 3)

B. y=-2x+2

C. y=-2x+7

Step-by-step explanation:

A. Midpoint formula, M=[tex]\frac{x_{1 }+x_{2}}{2} + \frac{y_{1 }+y_{2}}{2}[/tex]

B. Find the slope given Δy/Δx which just means change in y over change in x. -2-8/2-(-3) which is -10/2 which reduces to a slope of -2. Then use the point slope equation [tex]y- y_{1}=m(x-x_{1} )[/tex] where you fill in -3 for for x1 and 8 for y1. Solving for y gives you y=-2x+2

C. If a line is parallel to another line then they have the same slope, so the y=-2x part stays the same. What is different, though, is the y intercept. Luckily the y intercept is given in the problem, as the problem says the line passes through 0,7 so we know that this is the intercept. Thus, we know the equation is y=-2x+7

D. I'm not sure on this one, sorry. You can look up slope in ax+by+c=0 form though

In the United States, 15,000,000 households use private wells for their water supply. Write this number in scientific notation.
need answer fast

Answers

Answer:

1.5*10^7

Step-by-step explanation:

That's same as saying standard form

Answer:

1.5 x 10 to the 7th power

Step-by-step explanation:

There are 7 digits between the decimal point in 15,000,000.0 and the first digit. So it can then be rewritten as 1.5 x 10 to the 7th power

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