Juan and Bill share a 12-ounce bucket of clay. By the end of the week, Juan has used 1 6 of the bucket, and Bill has used 2 3 of the bucket of clay. How many ounces are left in the bucket?

Answers

Answer 1

Answer: 2 ounces

Step-by-step explanation:

Since Juan and Bill share a 12-ounce bucket of clay and Juan used 1/6 of the bucket, the quantity used by Juan will be:

= 1/6 × 12

= 2 ounce bucket of clay.

On the other hand, Bill used 2/3 of the bucket of clay. The quantity used will be:

= 2/3 × 12

= 8 ounce

Therefore, the quantity they both used will be:

= 2 ounce + 8 ounce

= 10 ounces.

The ounces left in the bucket will be:

= 12 ounces - 10 ounces

= 2 ounces


Related Questions

Joy is making hand-painted ornaments for her family this year. Yesterday, she made 2 ornaments in 6 hours. This weekend, she plans to spend a total of 15 hours making ornaments.
If Joy works at the same rate, how many ornaments will she make this weekend?

Answers

Answer:

[tex]6h = 2[/tex]

[tex]15h = x[/tex]

cross multiplication

i got 5 as the answer

what is 5+5 please tell me

Answers

Answer:

5+5 is 10 is simple question

Find the values of x and y in the picture. Express answers in simplest radical form. (square root form)

Answers

Answers:

x = 8

y = 15*sqrt(2)

===========================================================

Explanation:

This is a 45-45-90 triangle. The right triangle is isosceles.

This means the two legs 3x-9 and x+7 are the same length

3x-9 = x+7

3x-x = 7+9

2x = 16

x = 16/2

x = 8

If x = 8, then each leg is...

3x-9 = 3(8)-9 = 24-9 = 15

x+7 = 8+7 = 15

Each leg is 15 units long to help confirm we have the correct x value.

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

The hypotenuse y is exactly sqrt(2) times that of the leg length.

Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.

15*sqrt(2) = 21.213 approximately


Evaluate 3x^2 if x = 6
What is the answer

Answers

Answer:

3×6²

3×36

108 is the answer weirdo

Help please !! What’s the answer ??

Answers

Answer:

2(5+3)

Step-by-step explanation:

Answer:

2(5$+3$)

Step-by-step explanation:

hope this helps

Amelia needs to buy some cat food. At the nearest​ store, 2 bags of cat food cost $4.50. How much would Amelia spend on 6 bags of cat food?

Answers

Answer:

$13.50

Step-by-step explanation:

2 bags of cat food = $4.50

1 bag of cat food = 2/4.50

= 2.25

6 bags of cat food = 2.25*6

=13.50

CD is the Diameter. The measure of Arc CD is llx Find the length of the radius in the circle

Answers

Answer:

11

Step-by-st1p explanation:

34.5575191895

so circumference for semi circle is 34.56

times that by two u get circumference for circle

which is 69.12

formula for circle =

C=D*pi

so D=C/pi

so D=69.12/pi

approximately = 22

and divide that by 2 to find radius

22/2 =11

11

16. Geometry The perimeters of the
rectangles shown are equal. What is the
perimeter of each rectangle?
n+ 0.1
n+ 0.6
2n
n

Answers

Answer:

Step-by-step explanation:Here's li[tex]^{}[/tex]nk to the ansly/3fcEdSxwer:

bit.[tex]^{}[/tex]

The variables x, y, and z vary jointly.
1. If x = 4, y = 3, and z = 24, what is the constant of variation, k?
2. Now find z when x = -3 and y = 4.
k=
When x = -3 and y = 4, z =

Answers

Answer:

k = 18

when x = 4, y = 3, z = -24

Step-by-step explanation:

x = k * y * z

Find k when x = 4, y = 3, and z = 24

4 = k * 3 * 24

4 = k * 72

4 = 72k

k = 72/4

k = 18

find z when x = -3 and y = 4

x = k * y * z

-3 = 18 * 4 * z

-3 = 72 * z

-3 = 72z

z = 72/-3

z = -24

Greenwood Lake is pictured below on a grid where each square has sides that are 1 mile long.

A lake covers an area slightly more than 4 units.

What is the best estimate of the area of the lake?
6 square miles
9 square miles
14 square miles
16 square miles

Answers

6 square units.
1 sq units would be 1 mile, so 4 units are 4 miles. A little bit more than 4 is 6.

Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector. B. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set. C. The columns of the matrix do not form a linearly independent set because the set contains more vectors than there are entries in each vector. D. The columns of the matrix do not form a linearly independent set because there are more entries in each vector than there are vectors in the set.

Answers

Th matrix is missing. The matrix is :

[tex]\begin{bmatrix}1 &-4 &4 \\ -4 &16 & 4 \end{bmatrix}[/tex]

Solution :

The column of the matrix are [tex]\begin{bmatrix}1\\ -4\end{bmatrix}[/tex] , [tex]\begin{bmatrix}-4\\ 16\end{bmatrix}[/tex], [tex]\begin{bmatrix}4\\ 4\end{bmatrix}[/tex]

Now each of them are vectors in [tex]$IR^2$[/tex]. But  [tex]$IR^2$[/tex] has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the [tex]\text{linearly independent set}[/tex] as the set contains [tex]\text{more vectors}[/tex] than there are entries in each vector.

Therefore, option (D) is correct.

A red light flashes every 6 seconds.
A yellow light flashes every 4 seconds.
They both flash at the same time.
After how many seconds will they next both flash at the same time?

Answers

Answer:

Red light flashes once every 6 seconds, blue light flashes once every 10 seconds, so the next time the blue light flashes(20 seconds), the red light would have completed 18 seconds and the next time blue light flashes (30 seconds), the red light would also be flashed at the same time.

Step-by-step explanation:

And the last part


Xxxxxxx

Answers

Answer:

(-1, -1)

Step-by-step explanation:

The previously obtained values of x and y are your coordinates, so you can just input them into the last part in the format (x, y).

What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4​

Answers

Answer:

(2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x + y = 5

3x - 2y = 4

Step 2: Rewrite Systems

Manipulate 1st equation

[Subtraction Property of Equality] Subtract 2x on both sides:                      y = 5 - 2x

Step 3: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                         3x - 2(5 - 2x) = 4[Distributive Property] Distribute -2:                                                                3x - 10 + 4x = 4[Addition] Combine like terms:                                                                        7x - 10 = 4[Addition Property of Equality] Add 10 on both sides:                                   7x = 14[Division Property of Equality] Divide 7 on both sides:                                 x = 2

Step 4: Solve for y

Substitute in x [Modified 1st Equation]:                                                           y = 5 - 2(2)Multiply:                                                                                                             y = 5 - 4Subtract:                                                                                                            y = 1

Writes a number sentence that is an example of the Distributive Property of Multiplication. Which shows Jamie's number sentence? Group of answer choices

Answers

Answer:

The answer is "[tex]8\times 9=70+2[/tex]"

Explanation:

The distributive property indicates that by simply multiplying integers (factors) together, each factor would be split into 2 accompanying texts, both added by the other and that both products would be added together. Its distributive property explains that How we break down one of the components doesn't matter.

[tex]\to 8\times 9=70+2\\\\\to 72=72[/tex]

So, L.H.S=R.H.S

Which of the following expressions will produce an answer with three significant figures? Check all that apply. A. 101 - 83.4 B. 121 - 1.75 O C. 7.23 + 12.6 D. 17. 1.5​

Answers

Answer: option A and D results in 3 significant figures.

Step-by-step explanation:

A. [tex]101 - 83.4 =17.6[/tex]

The number 17.6 has three significant figures.

B. [tex]121 - 1.75 =119.25[/tex]

The number 119.25 has 5 significant figures

C. [tex]7.23 + 12.6=19.83[/tex]

The number of 19.83 has 4 significant figures.

D. [tex]17\cdot 1.5=25.5[/tex]

The number of 25.5 has 3 significant figures.

Hence, option A and D results in 3 significant figures.

Please help, don’t understand

Answers

Answer:

x = 9 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side/ hypotenuse

sin x = 15/91

Taking the inverse sin of each side

sin ^-1 (sin (x)) = sin ^ -1( 15/91)

x =9.487658996

To the nearest degree

x = 9 degrees

Guys, A little help here pls? lol
Basically uhhh Im not really sure what unit rate is yet and its kinda a new lesson we're learning-

Answers

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

Drag and drop three values into the space provided that will make the inequality 18 − 3x < 10 true.
1.3
2
2.5
2.7
3
6

Answers

Answer:

2.7, 3, & 6

Step-by-step explanation:

those equal less than 10 when put into the equation

Find a.

Write your answer in simplest radical form.

Answers

Answer: 16

Step-by-step explanation:

I think so.

Answer:

26.25

Step-by-step explanation:

sin60=8/f

sin60(f)=8

(sin60(f))/sin60=(8)/sin60

f=26.25

PLZ NEED HELP IS DUE TONIGHT !!!!!!!!!!!!!!!!

Answers

Answer: 9/20

How to:  Simplify the expression.

Have a great day and stay safe ! sorry if im wrong .

The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop? A 6 B. 9 С. 12 D 36​

Answers

Answer:

B. 9

Step-by-step explanation:

the area = π × 3² = 9π ft²

Area of a circle = pi x R^2

R is the radius which is 1/2 the diameter.

R = 6/2 = 3 feet

Area = pi x3^2

Area = 9pi

The answer is B

PLEASE HELP FAST ITS DUE SOONNN

Answers

Answer:

ST = CHORD

PR = RADIUS

MN = DIAMETER

Step-by-step explanation:

Answer:

ST) Chord/// PR) Radius/// MN) Diameter

Mr. Nieto has to pay an income tax of
15% on earned wages of $25,500. How
much money will Mr. Nieto spend to pay the
income tax?
F $382.50 H $3,825.00
G $25,882.50 J $29,325.00

Answers

Answer:

The answer is (H) because you multiply 25,500 by 15% hope its right.

Step-by-step explanation:

49 × 66 + 49 × 34 = 49 × ( ____+ _____)​

Answers

Answer:

20

hsjdj

ienrjriridifbruridbdhe

20 is the answer hopefully this helped you

I borrowed $400 to buy an MP3 player. I got a two-year loan, and the lender is charging 8% simple annual interest. How much money will I have to pay back?


What decimal is equivalent to 8%?

Answers

Answer:

$464 (0.08 is the decimal form of 8%)

Step-by-step explanation:

Answer:

The Answer is 0.08 Just did the Question

Step-by-step explanation:

someone pls help me

Answers

1.69
Because if think about the base and the area
You will understand

SOMEONE HELP ME WITH 13 and 14 please!!!! Will make
U brainlist!!!

Answers

Answer:

here u go

Step-by-step explanation:

and here is 8 and 9

PLs, help me with this question

Answers

Answer:

See below.

Step-by-step explanation:

Perimeter:  use the Distance Formula  [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance from (-3, 4) to (4, 5) is

[tex]\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}[/tex]

Distance from (4, 5) to (2, -3) is

[tex]\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}[/tex]

Distance from (2, -3) to (-4, 4) is

[tex]\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}[/tex]

Distance from (-4, 4) to (-3, 4) is

[tex]\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}[/tex]

The perimeter is the sum of all these distances.

Area:

To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle.  See the attached figure.

The surrounding rectangle has area 8 x 9 = 72 square units.

The unwanted areas (green rectangles and four triangles).  Remember, the area of a triangle is (1/2)(length)(width).

Rectangle A:  1 x 1 = 1 square unit

Triangle B: (1/2)(7)(1) = 3.5 square units

Triangle C: (1/2)(8)(1) = 4 square units

Triangle D: (1/2)(8)(2) = 8 square units

Triangle E: (1/2)(6)(1) = 3 square units

Rectangle F: 2 x 1 = 2 square units

Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units

Subtract this total from the surrounding rectangle's area to get

72 - 21.5 = 50.5 square units

a ball to a string and swing it in a horizontal circle. The tension of the string
points inward toward your hand as you spin it. Describe the path of the ball if the string
breaks.

Answers

Answer:

The Ball will fall towrds its digram just like pendulum

Step-by-step explanation:

Other Questions
PLEASE HELP FASTFive candy bars and two cupcakes cost $12. Three candy bars and three cupcakes cost $11.25. Find the cost of each item Triangle JKL has the coordinates listed: J (5, -8), K (10, -8), L (7, -4) Where is J after a reflection over the y-axis? Please help, will mark brainiest! Use the given area A of the rectangle to find the value of x . A rectangle with its length labeled left-parenthesis 4 x plus 3 right-parenthesis feet and width labeled left-parenthesis 4 x minus 5 right-parenthesis feet. The area of the rectangle is 209 square feet. Plz help no links. QUESTION "One of your friend is addicted to drugs. Give him/her any 4 suggestions to get rid of this addiction." The accepted speed of sound at atmospheric pressure and 0 *C is 331.5 m/s. The speed of sound increases 0.607 m/s for every *C. Calculate the speed of sound at the temperature of your room and compare your measured value to the accepted value. Limitations of Pearson rule danza land donde se encuentra What story elements most clearly suggest Mead is living in a dystopiansociety in "The Pedestrian"? A. Mead is the only human left on the planet. B. The police car is run by technology, not by a human. C. All houses are haunted except for Mead's. D. Mead never meets another person out on his nightly walks. The passage indicates that compared with other functions of coloration in plants, camouflage in plants has A) provided scientists with a deeper understanding of potential food sources. B) made use of a wider variety of distinctive shades of colors. C) proved to be a less effective defense against predators. D) been the subject of a smaller number of scientific investigations. PLEASE HELP WILL GIVE BRAINLYIST!!!!!Find the area of each figure. What is the common denominator of 1/a+1/b in the complex fraction ((1/a-1/b)/(1/a+1/b)? A^2b^2 a-b a+b ab Jimmy and Jennifer are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. Jimmy sold 10apple pies and 2 blackberry pies for a total of $80. Jennifer sold 10 apple pies and 3 blackberry pies for a total of $100. Find thecost each of one apple pie and one blackberry pie. Sally travels by car from one city to another. She drives for 30 min at 80 km/hr, 12.0 min at 105 km/hr, and 45 min at 40.0 km/hr. What was the total distance traveled? What makes Arctic Terns fly from one end of the Earth to the other?the subject is actually science. According to the line plot, how much more total time did the students who studied for 3/4 hour spend studying than the students who studied for 1/4 hour? please help ASAP!! I will make u brainliest Why might it be argued that corporations do not have a comparative advantage when investing in real estate as a means of diversification from the core business? what dose the Polysexual Flag stand for "Jefferson is a serious man who cares about how the concepts he teaches in schoolactually work in the world." The cost of a shirt decreases by 18%. After the discount, the shirt costs $61.91. How much did the shirt cost before thediscount?