The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same mass. What is the mass of the teapot?

Answers

Answer 1

Answer: 320 grams

Step-by-step explanation:

Let the mas of the teapot be denoted by a

Let the mass of the cups be denoted by c

The question can be turned into an equation which will be:

a + 4c = 1280 ......... equation i

a + 10c = 2720 ........ equation ii

Subtract equation i from ii

6c = 1440

c = 1440/6

c = 240 grams

The mas of the cup is 240 grams

From equation i

a + 4c = 1280

a + 4(240) = 1280

a + 960 = 1280

a = 1280 - 960

a = 320 grams

The mass of the teapot is 320 grams


Related Questions

The coffee shop also sells small bag of coffee beans. the bags come in two 4/5 kilogram and 7/12 kilogram. How much more coffee does the bigger bag have?

Answers

I believe it is 13/60

First, you would make them have common denominators
4/5 (12/12) is 48/60
7/12 (5/55 is 35/60
Second, you want to find the difference
48-35=13
So from that, I would assume that the difference between the two is 13/60

The bigger bag have 13/60 kilogram more coffee.

What is fraction?

A fraction is defined as numerical representation for part of a whole which represents a rational number.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that the bags come in two 4/5 kilogram and 7/12 kilogram

⇒ 4/5

⇒ 7/12

We will first establish that there has a comparable denominator.

Multiply by (12/12) in the fraction 4/5

⇒ 4/5 (12/12)

⇒ 48/60

Multiply by (5/5) in the fraction 7/12

⇒ 7/12 (5/5)

⇒ 35/60

Determine the difference between fractions as :

⇒ 48/60 - 35/60

13/60 kilogram

Hence, the bigger bag have 13/60 kilogram more coffee.

Learn more about fraction here:

brainly.com/question/10354322

#SPJ5

Can someone please help me on this math chart and graph above I’ve already posted 3 pictures of it and no one is answering :( I’ll mark as brainliest if you answer. Picture is above thank you.

Answers

the function is x^2-9, so all you have to do is replace x with a number. for example, 2.

so 2^2-9 is -5. the plot would be 2, -5. basically, plug in a number to be the x coord, and whatever number you get will be your y coord.

after you graph a few plots (doing the same thing above), draw a line through all of them.

if the line goes up towards the right top corner, it's increasing. if it goes down the right bottom corner, it's decreasing.

25 points help me please

Answers

Answer:

we need to know what the question is.

Step-by-step explanation:

Dianne drew a triangle with coordinates (1,3), (3,2) and (4,2) she drew an image of the triangle with coordinates (21,3) ,(23,2) and (24,2) how did she make the image

Answers

Answer:

i

Step-by-step explanation:

dk

Who can guess what time it is for me

Answers

I’ll try it don’t know if I will get it right

Answer:

6:29

Step-by-step explanation:

Solve the inequality and graph the solution on the line provided.
8r - 9> -17
Pls help me !!!

Answers

Answer:

[tex]\boxed { x > -1}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]8x - 9 > - 17[/tex]

-Add [tex]9[/tex] to both sides:

[tex]8x - 9 + 9 > -17 + 9[/tex]

[tex]8x > -8[/tex]

-Divide both sides by [tex]8[/tex]:

[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]

[tex]\boxed { x > -1}[/tex]

-The number line (graphed):

⚠️⚠️⚠️ I WILL MARK BRAINLIEST ⚠️⚠️⚠️

Please help with 5-8 with working out please thanks , it’s due ASAP

Answers

Answer:

I can only help with 5 and 6 which both are A.

Explanation:

that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.

Rewrite 8 2/5
as an improper fraction.

Answers

the answer would be 42/5 all u have to do is multiply 8 and 5 and add 2 then put it over 5

Answer:

42/5

Step-by-step explanation:

If you multiply the denominator (5) by the whole number you would get 40, so then, you add this to the numerator (2), you would get 42 after. So the answer would be 42/5 (you keep the denominator). You can trust my answer because I'm n middle school and this was in like elementary school :P

Roberto has run the first 16 miles of a race, means he is 72% finished. How long is the race?

Answers

Answer:

22.22222222

Step-by-step explanation:

Answer:

the race is 22 miles long.

Step-by-step explanation:

p         %

~~  =  ~~

w        100

Evaluate
p
+
(

q
)

2
p

Answers

Can you put it more bettet in the comments!

Directions: Solve the problem Label your final answers. Show all work.

Tickets to the Haunted House are $6.50 for adults and $4.30 for children.

How much would it cost for two adults and four children?


How much change would you get if you pay for the tickets with a $50 bill?

Answers

Answer:

The total cost for two adults and four children is $30.2

The change that you would get if you pay for the tickets with a $50 bill is $19.2

Step-by-step explanation:

$6.5 * 2 adults = $13

$4.3 * 4 children = $17.2

$13 + $17.2 = $30.2

$50 - $30.2 = $19.8

Hope this helps and pls do mark me brainliest if you can:)

Determine if the function shows a linear relationship or an absolute value relationship. Then evaluate the
function for the indicated value of x.
A. f(x) = |x-31-2; x = -5
B. g(x) = 1.5x; x = 0.2
C. p(x) = 17 - 2x]; x = -3

Answers

I think it’s B because it’s negative

20b-16




Please help I will mark you

Answers

Hey :)

20b−16


Factor out 4

= 4(5b−4)

Hope this helps :)

-7a-3=18
Solve for A

Answers

Answer:

a = -3

Step-by-step explanation:

-7a-3=18

Add 3 to each side

-7a-3+3=18+3

-7a = 21

Divide each side by -7

-7a/-7 = 21/-7

a = -3

Answer:

a= -3

Step-by-step explanation:

[-7a - 3 = 18]

Add 3 to both sides

[-7a=21]

Divide both sides by -7

[a= -3]

-4( -3 )+ (6-2)/64 = ?

Answers

Answer:

12.0625

Step-by-step explanation:

Im not sure but im pretty sure it's correct

12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.

Open-Ended Which of these situations can be represented by the opposite of 53? Use pencil and

paper. Describe two more situations that can be represented by the opposite of 53.

A book was 53 pages shorter than you expected.

Andrew spent $53.

The temperature was 53°F.

Jennifer sold 53 apples.

Select each situation that can be represented by the opposite of 53.

O A. Andrew spent $53.

OB. Jennifer sold 53 apples.

OC. A book was 53 pages shorter than you expected.

D. The temperature was 53°F.

Answers

Answer:

A book was 53 pages shorter than you expected

Jennifer sold 53 apples.

Andrew spent $53.

Step-by-step explanation:

The question proposed that we should determine which situation can be said to be the opposite of 53. From the listed option, we will realize that the following:

A book was 53 pages shorter than you expected

Jennifer sold 53 apples.

Andrew spent $53.

The above options are the opposite of 53. This is because a book that was shorter than expected will need to be refilled.

Suppose Jennifer has x apples, and She sold 53 apples out of it. It means x = -53, which is the opposite of 53.

Andrew spent $53; let say Andrew had y+$53. After spending $53, he has y = - $53, which is the opposite of 53.

But the temperature, which was 53°F, will still be at that position on the thermometer provided it is not being affected by external conditions.

A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21

Answers

Answer:

2.5in

Step-by-step explanation:

Given parameters;

  Base = 4.5inches

   Height = 6inches

    Area  = 21in²

Unknown:

b₂ = ?

Solution:

 Formula for finding the area of a trapezium;

         A = [tex]\frac{1}{2}[/tex][tex](b_{1} + b_{2} )[/tex] x h

     Input the parameters and solve for b₂;

      21  =  [tex]\frac{1}{2}[/tex][tex](4.5+ b_{2} )[/tex] x 6

   

       21 = 3(4.5 + b₂)

       21 = 13.5 + 3b₂

      21 - 13.5 = 3b₂

     b₂ = 2.5in

Donte simplified the expression below. 4 (1 + 3 i) minus (8 minus 5 i). 4 + 3 i minus 8 + 5 i. Negative 4 + 8 i. What mistake did Donte make?

Answers

Answer:

He didn't expand properly.

This part: 4(1 + 3i)

Step-by-step explanation:

4(1 + 3i) - (8 - 5i)

Expand:

4 + 12i - 8 + 5i

-4 + 17i

Answer:

A on edge2020

Step-by-step explanation:

did the test

we want to factor the following expression 3x^2-16y^5 which pattern can be used to factor the expression U and V are either constant integers or single variable expressions

Answers

Answer: we cant use any patterns

Step-by-step explanation:

(−45)(158)(73)(−1)
QUICK

Answers

Answer:

If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.

Step-by-step explanation:

multiplying will get you 519,030 because-45x158= -7,110 and 73x-1=-73 and when you multiply -7,110 and -73 you get positive 519,030 because a negative times a negative equals a positive

Write an equation in slope-intercept form with the given slope and y-intercept. m = 1 , b = -1

Answers

Answer:

y = 1x -1

Step-by-step explanation:

m is your slope which is 1 and -1 is you y intercept

the slope intercept form is y = mx + b

which means the equation will be y = 1x -1

A submarine is 150 feet below sea level and then descends 850 feet before rising 35 feet and leveling out. At what depth is the submarine when it levels out?

Answers

It’s at a depth of 965ft

You would take 150 and add 850 which equals 1000 and then subtract 35 which gives u 965ft

Evaluate 3{5 + 3[10 + 4.8]}​

Answers

Answer:

393

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. 30

2. 0.83333333

3. 1.2

4. 30

Step-by-step explanation:

H is the only reasinable decimal

Please help! Geometry.

Answers

I wrote them down for you

In the image above, what do the red arrows on lines mean?

Answers

Answer: ............................Step-by-step explanation:You need to attach an image

what equation represents the line that passes through (-2,-1) and has a slope of 5

Answers

Answer:

y + 1 = 5 (x+2)  in point slope form   or   y = 5 x + 9  in intercept slope form

Step-by-step explanation:

Answer:

y=5x+9

Step-by-step explanation:

Enter the correct value so that each expression is a perfect-square trinomial. x2 + 1/2 x +

Answers

1/16 is your answer

Answer: 1/16

Step-by-step explanation:

edge2020

If Karis can run 1 mile in 10 minutes, how many
miles could he run in 1 hour at this same rate?

Answers

Answer:

6 miles per hour or 6 miles

Step-by-step explanation:

If Karis can run 1 mile in 10 minutes, how many miles could he run in 1 hour at this same rate?

1 mile = 10 minutes

there are 60 minutes in 1 hour

10 minutes × 60 minutes = 6

6 × 1 mile = 6 miles so the answer is 6 mile per hour

Harvy claims that he can map rectangle ABCD to rectangle EFGH. Select all the transformations or series of transformations that support his claim.

Answers

Answer:

Option (B) and (D)

Step-by-step explanation:

To understand the relation between rectangle ABCD and EFGH take a point A from rectangle ABCD which is at E of rectangle EFGH after the series of  transformations.

Horizontal distance between A and E = 2 - (-10) = 12 units

Vertical distance between A and E = 4 - 2 = 2 units

If the point A is shifted 12 units right and 2 units up we will find the point E.

Therefore, A translation of 12 right and 2 units up has been done.

Rule for the translation,

(x, y) → (x + 12, y +2)

Moreover this,

If rectangle ABCD is reflected over x = -1 and translated 2 units up, rectangle ABCD will overlap the rectangle EFGH.

Therefore, Options (B) and (D) will be the answer.

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