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

Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica

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Answer:

Step-by-step explanation:i need points sorry

what is the missing angle?

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Answer:

the missing angle is 73

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE

SHOW THE WORK BRO PLEASEEEE

What is the value of x?

Answers

Answer:

14

Step-by-step explanation:

∠AOB is a straight angle, meaning that it is 180°.  Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.

∠AOC + ∠COD + ∠DOB = ∠AOB

(5x) + (3x + 30) + (2x + 10) = 180

5x + 3x + 30 + 2x + 10 = 180

10x + 30 + 10 = 180

10x + 40 = 180

10x + 40 - 40 = 180 - 40

10x = 140

10x/10 = 140/10

x = 14

Zn + 2HCI ZnCI2 + h2

Based on the reaction shown above, which statement best supports the law of conservation of mass?
There are more chlorine atoms in the reactant.

There are more hydrogen atoms in the product

The number of chlorine atoms is unequal in the reactants and products
.
The number of reactant atoms is equal to the number of product atoms.

Answers

Answer:

The number of reactant atoms is equal to the number of product atoms.

Step-by-step explanation:

What is the value of n in the equation -1/2 (2n + 4) + 6 = -9 + 4(2n + 1)?
n =

Answers

Answer:

n=1

Step-by-step explanation:

Answer:

n=1

Step-by-step explanation:

y= 2x² + 36x + 170
(Find the vertex, show steps)

Answers

This is the answer. Hope it helps!
y=2(x²+18x+85)
Find the vertex of x²+18x+85

This is written of the form ax²+bx+c

a=1, b=18, c=85

The axis of symmetry is -b/2a
The axis of symmetry is the x term of your vertex (h,k)

So we have

h=-(18)/2

h=-9

k=f(-9) given that f(x) is x²+18x+85

(-9)²+18(-9)+85

81-162+85

-81+85

4

So your k value is 4

So because you’re vertex is (h,k) and since we found that h=-9 and k=4, your vertex is (-9,4)

these triangles are congruent by the triangle congruence postulate

Answers

the answer is a, sss

Answer: SSS

Step-by-step explanation:

SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.

What is the factored form of 8x^3 - 27y^3?

A. (2x + 3y)(4x^2 - 6xy + 9y^2)

B. (2x – 3y)(4x^2 + 9xy + 6y^2)

C. (2x – 3y)(4x^2 + 6xy + 9y^2)

D. (2x + 3y)(4x^2 - 9xy + 6y^2)

Answers

the correct answer is C
I solve it and my answer is C

The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.

Answers

Answer:

$8.31

Step-by-step explanation:

you have your budget of $349.02 that's for 42 trees you are deciding tour budget by 42 giving you $8.31 per tree.

1. Kirk is getting a raise of 5% due to inflation. His
normal salary is $56,000 per year. Which of the
following calculations gives Kirk's new salary, in
dollars?
A. 56,000 + 5
B. 56,000 + 56,000(0,05)
C. 56,000 + 56,000(0.50)
D. 56,000 + 56,000(5)
E. 56,0000.05)

Answers

Cccccccccccccccccccccccccccccc

a= 18 in.
C = 82 in.
What is the length of b?

Answers

Answer:

B should equal 80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Use Pythagorean theorem so 18^2 +b^2 =82^2 which is 324 +b^2=6724 then subtract 324 on both sides then square root which is 80

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$ sign, 7, point, 50 delivery fee and 14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60sign, 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario?

Answers

Answer: 7:50 + 14P<60

The slices I don’t know so find out yourself

Step-by-step explanation: I got it wrong and saw the right answer

Raymond uses the Venmo
app to transfer money to
his friends. He had $6.50.
He gave $2.95 to Theresa
and received $1.26 from
Peyton. How much money
does he have now?

Answers

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

And this one help me with

Answers

Mdskckskndnsnjsncjsnfjsndbap

Help with these math questions grade 12

Answers

Answer:

1. 15.1%

2. 8.3%

3. 12%

4. 25%

Step-by-step explanation:

1.

percent change = (new number - old number)/(old number) * 100%

percent change = (21300 - 18500)/(18500) * 100%

percent change = 15.1%

A positive percent change is a percent increase.

Answer: The percent increase is 15.1%.

2.

percent change = (new number - old number)/(old number) * 100%

percent change = (298000 - 325000)/(325000) * 100%

percent change = -8.3%

A negative percent change is a percent decrease.

Answer: The percent decrease is 8.3%.

3.

percent change = (new number - old number)/(old number) * 100%

percent change = (110 - 125)/(125) * 100%

percent change = -12%

A negative percent change is a percent decrease.

Answer: The percent decrease is 12%.

4.

percent change = (new number - old number)/(old number) * 100%

percent change = (1500 - 2000)/(2000) * 100%

percent change = -25%

A negative percent change is a percent decrease.

Answer: The percent decrease is 25%.

ANSWER ASAP PLEASE I WILL GIVE BRAINLIEST TO FIRST ANSWER!!!!

Which one would you choose? Explain your reasoning.
1. A 5-pound jug of honey for $15.35
2. Three 1.5-pound jars of honey for $13.05

Answers

Answer:

Three 1.5-pound jars of honey for $13.05

Step-by-step explanation:

15.35/5 = 3.07

3x1.5=4.5

13.05/4.5 = 2.90

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?

Answers

Answer:

$80

Step-by-step explanation:

From the question, we are given The simple interest formula as I = Prt,

where l = simple interest on an amount= $40

t= years=5years

at a rate r= 10%

The rate= 10/100= 0.1

Then since we are looking for P, we can make P subject of formula from this expression;

I = Prt

P=I/rt

P= 40/(0.1 ×5)

P= 40/0.5

P= 80

therefore, the amount of money p that is needed is $80

Answer:

the answer would be $80. :)

Step-by-step explanation:

ayo if you answer youll get brainliest
Solve the following Linear Equation.
3a + 2 (2a - 1) = 33
show work pls

Answers

Answer:

[tex] \huge{ \boxed{ \tt{a = 5}}}[/tex]

Step-by-step explanation:

[tex] \text{3a + 2(2a - 1) = 33}[/tex]

Distribute 2 through the parentheses

↦[tex] \text{3a + 4a - 2 = 33}[/tex]

Add the terms : 3a and 4a

↦ [tex] \text{7a - 2 = 33}[/tex]

Move 2 to right hand side and change it's sign

↦ [tex] \text{7a = 33 + 2}[/tex]

Add the numbers : 33 and 2

↦ [tex] \text{7a = 35}[/tex]

Divide both sides by 7

↦[tex] \text{7a\: / \: 7 \: = 35 \: / \: 7}[/tex]

↦ [tex] \text{a = 5}[/tex]

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

[tex]

\tt{\huge{ {a = 5}}}

[/tex]

Step-by-step explanation:

[tex]3a + 2(2a - 1) = 33 \\

Distribute \: 2 \: through \: the \: parentheses \: \\ 3a + 4a - 2 = 33 \\ 7a - 2 = 33

\\ 7a = 33 + 2\\ 7a = 35 \\

a = 5.\\ ♨Rage♨

[/tex]

Four friends get the lunch special at a restaurant and leave a $3 tip. The total amount paid was $26.00. How much does the lunch special cost?

Answers

Answer:

23 dollars

Step-by-step explanation:

26 is the total with tax, so subtract the tax to get the lunch by itself

Answer:

it's 5.75

Step-by-step explanation:

first i subtracted 3$ from 26.00 and got 23.00 then i divide 23.00 by 4 and got 5.75 so that's what they payed

Once the child in the sample problem reaches the bottom of the hill, she continues sliding along the flat, snow-covered ground until she comes to a stop. If her acceleration during this time is -.392m/s^2 how long does it take her to travel from the bottom of the hill to her stopping point

Answers

Sample problem is;

A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.

Answer:

t = 39.54 s

Step-by-step explanation:

We are told that her acceleration is now -0.392 m/s²

Thus; a = -0.392 m/s²

From the sample problem, we have;. Initial velocity = 0 m/s

Final velocity = 15.5 m/s

However, in this question, we want to find the time from the bottom of the hill to her stopping point.

This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s

To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;

v = u + at

making t the subject, we have;

t = (v - u)/a

t = (0 - 15.5)/(-0.392)

t = 39.54 s

A multiplication table. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Consider the highlighted products. The common factor is _____.

Answers

3, 3x3=9, 3x4=12, 3x5=15, 3x6=18

Answer: 3 for edgenuit y

Step-by-step explanation:

Determine whether the given function is even,odd,or neither f(x)=2x^2+x^4

Answers

The given function is even

F = 9/5C + 32 solve for C

Answers

i'm not sure but this is what i got

c=9/5(f−32)

what are the numbers if the GCF of these numbers is 12?

A) 24 and 36

B ) 18 and 24

C)14 and 16

D) 12 and 21

explain please...​

Answers

Answer:

a...................

If a loaf of bread was priced $1.50 on one day and $1.20 the next, what is the percent decrease
of the price of the loaf of bread?

Answers

Answer:

20 percent decrease

Step-by-step explanation:

0.15 cents is 10 percent of 1.50, and that multiplied by 2 is 0.30 cents. 0.30 cents is equal to 20 percent, and the difference between 1.50 and 1.20 is 30 cents.

Which statement best describes the intersection of three planes?

A) The planes could form one or two lines.

B) The planes could form one, two, or three lines.

C) The planes will form two lines.

D) The planes could form one, two, or three lines, or they could intersect at exactly one point.

Answers

Answer:

D

Step-by-step explanation:

from what I could tell, it sounds like D would be correct

Is the expression |-3|+ 4 equal to |-3 + 4| ? Justify your answer.

Answers

Answer:

Yes

Step-by-step explanation:

Absolute value keeps a number positive so, the 2 equations both equal 7.

question attached through picture​

Answers

Step-by-step explanation:

(1/n)^-2/3

= n^2/3

= 3 root of n^2

solution is 3)

Given hexagon jklmno ~ hexagon pqrstu, Lk=15, JO=23, and QR=2, find the scale factor from jklmno to pqrstu. Give your answer in decimal form rounded to the nearest hundredths

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Answer:

ghjkghhjkghjkghjk

Step-by-step explanation:

i need some math help

Answers

Answer:

n = 15

Step-by-step explanation:

Step 1: Write equation

n/3 = 5

Step 2: Solve for n

Multiply both sides by 3: n = 15

Answer:

n = 15

Step-by-step explanation:

Step 1: Write equation

n/3 = 5

Step 2: Solve for n

Multiply both sides by 3: n = 15

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