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

A,B,C OR D
PLS HELP..

Answers

Answer:

DDDDDDDDDDDDDd

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

its steeper than the others

N
What is the value of y?
O 3V3 units
O6v3 units
U
3
9V3 units
O 12V3 units
T
M

Answers

Answer: b

Step-by-step explanation:

Just took the test

The value of y is 12√3

Pythagoras theorem

From the diagram given, we are to find the value of "y"

First, we need to get the length of TU

TU² = 6² - 3²

TU² = 36 - 9

TU = √27

Next is to get the value of y

y² = (√27)² + 9²

y² = 27 +81

y = √108

y = 12√3

Hence the value of y is 12√3

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Mrs. Trout can bake 5 dozen
cookies in 70 minutes. How
many dozen can she bake in
112 minutes?

Answers

Answer:

She can bake 8 dozen cookies in 112 minutes.

Step-by-step explanation:

70/5 =14

112/14= 8

Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor? The decimal could be one-tenth. The decimal could be two-tenths. The decimal could be five-tenths. The decimal could be seven-tenths.

Answers

Answer: The decimal could be two-tenths.

Step-by-step explanation:

Two tenth as a product of decimals, 2/10 = 0.2. What this means is that a tenth is on of equal parts of something. e.g i received two tenth of the 30 bananas, what this implies is that he received 6 pieces of the bananas and this can be gotten by 2/10*30 = 6.

Answer:

b

Step-by-step explanation:

Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 12 ft, what is the surface area of the cover?

Answers

Answer:

oi

Step-by-step explanation:

Answer:

11 feet maybe

Step-by-step explanation:

HELP please ASAP Hw for math class

Answers

2b-15c/5
I’m pretty sure

Find the value of 5x+6 when x=-2

Answers

Answer:

-4

Step-by-step explanation:

5 times negative -2 is -10 and you just add 6 so the answer is -4

The value of 5x + 6 when x = -2 will be -4.

What is Expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is the following expression -

5x + 6

Given is the following expression -

5x + 6

At x = -2, we can evaluate the expression as -

5x + 6

5 x -2 + 6

-10 + 6

-4

Therefore, the value of 5x + 6 when x = -2 will be -4.

To solve more questions on Evaluating expression, visit the link below-

https://brainly.com/question/13589173

#SPJ2

the most points you will EVER GETTTTTT i would do more points but brainly doesn't let me

Answers

Answer:

Ah Thanks so much

Step-by-step explanation:

I am so bored by the way...

Answer:

daaslkfnsdlfknsdfnsdnfsdf

Step-by-step explanation:

Points C, D, and E are collinear. You are given CD = 18 and CE = 27. What is a possible measure of DE?
0 A 6
B. 7
C. 8
D. 9
HELP PLS

Answers

Answer:

9

Step-by-step explanation:

The measure of DE is 9 units. Therefore, option D is the correct answer.

Given that, points C, D, and E are collinear, CD = 18 and CE = 27.

What are collinear points?

Collinear points are the points that lie on the same straight line or in a single line.

Now, points C, D, and E are collinear.

CE = CD+DE

⇒ 27 = 18 + DE

⇒ DE = 27-18

⇒ DE = 9

The measure of DE is 9 units. Therefore, option D is the correct answer.

To learn more about the collinear points visit:

https://brainly.com/question/1593959.

#SPJ5

(This is on my quaturly check Help!!!) ABC and CBD are supplementary angles. m/ABC=(5x+12) and m/CBD=(13x+24).Complete all the parts plz!

Answers

Answer:

Step-by-step explanation:

Part (A).

Angles ABC and CBD are the supplementary angles.

Therefore, m(∠ABC) + m(∠CBD) = 180°

Now substitute the measure of each angle in the equation,

(5x + 12)° + (13x + 24)° = 180°

18x + 36 = 180

18x = 180 - 36

18x = 144

x = 8

Part (B).

m∠ABC = (5x + 12)

             = 5(8) + 12

             = 52°

m∠CBD = (13x + 24)

             = 13(8) + 24

             = 104 + 24

             = 128°

Part (C).

We can check the results by adding measures of these angles.

m∠ABC + m∠CBD = 52 + 128

                               = 180°

Therefore, both the angles are supplementary angles which is already given.

Complete the square to put () in vertex form. () = 3
2 + 30 − 12. What is the vertex?

Answers

Answer:

A and A

the equation of a parabola in vertex form is

y = a(x - h)² + k

where ( h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x + 3)² + 2  is in this form

with vertex = ( - 3, 2)

To find the y-intercept let x = 0

y = - 2(3)² + 2 = - 18 + 2 = - 16

Similarly

y = - 2(x + 2)² + 2 is in vertex form

vertex = ( - 2 , 2)

x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept

hope this helped

If the area of a rectangle is 6m², then the dimensions must be 2 meters by 3 meters. True or False?

Answers

Answer:

true

Step-by-step explanation:

Answer: true. Explanation: to find area, you have to multiply length times width. Plug the numbers provided into the area formula: 2m * 3m = 6m^2 , which runs true with the statement.

You are making picnic baskets. The list shows the items you are putting into the baskets. You want identical groups of items in each basket with no items left over. What is the greatest number of picnic baskets you can make? 32 sandwiches 40 granola bars 48 apples

Answers

Answer:

8 picnic baskets

Step-by-step explanation:

We are told in the question we have :

32 sandwiches

40 granola bars

48 apples

The greatest number of picnic baskets we can have is calculated using greatest common factor method

The factors are:

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Then the greatest common factor is 8.

Therefore, the greatest number of picnic baskets you can make is 8 picnic baskets.

Step-by-step explanation

We are told in the question we have :

32 sandwiches

40 granola bars

48 apples

A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for

Answers

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?

Answers

Answer:

y=1/3-1 ...............

Krego earns $2,456.75 every month. He also earns an extra $4.75 every time he sells a new gym membership. Last month, Krego sold 32 new gym memberships. How much money did Krego earn last month? Round to the nearest penny when necessary.

Answers

Answer:

$2600.75

Step-by-step explanation:

let us first model the total amount he makes

say the number of sales made us x

let the total made be y

y=2456.75+4.5x

given that the amount of sales is 32

let us put x=32 in the expression to get the total amount

y=2456.75+4.5(32)

y=2456.75+144

y=2600.75

therefore if he sale 32 new gym membership he will make $2600.75

The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a particular treatment, an individual's predicted survival time is 2.8 standard deviations beyond the mean. How much longer, after diagnosis, is the patient expected to survive?

Answers

Answer:

The time the patient expected to survive after diagnosis is 29 years.

Step-by-step explanation:

It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.

That is,

[tex]\mu=15\\\sigma=5[/tex]

An individual's predicted survival time is a = 2.8 standard deviations beyond the mean.

Compute the time the patient expected to survive after diagnosis as follows:

[tex]X=\mu+a\sigma[/tex]

    [tex]=15+(2.8\times 5)\\\\=15+14\\\\=29[/tex]

Thus, the time the patient expected to survive after diagnosis is 29 years.

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:

Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m

Answers

Answer:

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Step-by-step explanation:

Given;

total number of Mr Moretti's students = 18

number of mechanical pencils for each student = m

total number of mechanical pencils for all the students = 18m

number of regular pencils for each student = 2m

total number of regular pencils for all the students = 18(2m)

The total number of pencils given to all the 18 students by  Mr Moretti is given by;

T = Total mechanical pencils + total regular pencil

T = 18m + 18(2m)

T = 18(m + 2m)

T = 18(3m)

T = 54m

Therefore, based on the expressions above, the correct options include;

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Answer:

18(m+2m)

 18m+18(2m)

54m

Step-by-step explanation:

I took the quiz.

please answer the question hurry up get 25 point ​

Answers

Answer:

[tex]x = - 1.[/tex]

Step-by-step explanation:

[tex] {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.[/tex]

♨Rage♨

Step-by-step explanation:

Hey there!

Given;

[tex] {2}^{x} = \frac{1}{2} [/tex]

We know that (1/2) can be written as 2^-1. So, it will be;

[tex] {2}^{x} = {2}^{ - 1} [/tex]

Looking on both sides we find that both have same base. So,

x = -1

(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)

Hope it helps...

Select each polynomial expression that could be factored by grouping.​

Answers

Answer:

The 2nd and 3rd option

Step-by-step explanation:

They can be separated into 2 pairs and factored

whats 4*4
hrry answer it

Answers

Answer: 16

Steps: 4 × 4 = 16

PLz mark brainliest:)

Answer:

16

Step-by-step explanation:

4*2 is 8 and 8+8 is 16.


Write an algebraic expression that represents the sum of 3 and one sixth of X

Answers

Answer: 3 + 1/6x

Step-by-step explanation:

From the question, we are informed to write an algebraic expression that represents the sum of 3 and one sixth of.

In mathematics, sum means addition. Therefore, the algebraic expression will be gotten by adding 3 to 1/6 of x. This will be:

= 3 + (1/6 × x)

= 3 + 1/6x

PLEASE HELP THANK YOU

Answers

1st one length preserved 2nd length preserved 3rd length preserved and 4th length not preserved.

Hope this helps. :D

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?

Answers

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

[tex]10 + 5x=y[/tex]

Now, it is given that his goal is minimum of 50 countries.

So,

[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

Answer:

Im pretty sure the answer is C

Step-by-step explanation:

Good Luck!!!

If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2

Answers

Answer:

x = -2 or x = -1/2

Step-by-step explanation:

We can just set up an equation where the quadratic is equal to -10, and then solve the equation:

[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]

Now, factor:

[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]

can anybody help me know the Pythagorean theorem

Answers

Answer:

[tex]8^{2} +U^{2} =17^{2}[/tex]

solve the squared numbers

[tex]8^{2} =64[/tex]

[tex]17^{2} =225[/tex]

[tex]64+U^{2} =225[/tex]

subtract 64 from 289

[tex]U^{2} =225[/tex]

square root 225

[tex]U=[/tex][tex]\sqrt{225}[/tex]

simplify that

[tex]U=[/tex][tex]\sqrt{15^2}[/tex]

[tex]U= 15[/tex]

a) What is y=mx+b?
b) What does the m stand for?
c) What does the b stand for?
d) Where do I find the x & y?
e) If I get two coordinate points how do I find the slope? What is the formula?
f) If I get a graph, how do I find the slope?

Answers

a) y=mx+b is slope intercept form.

b) the m is the slope of the line.

c) the b is the y-intercept

d) the x-axis is horizontal, the y-axis is vertical.

e) m = rise/run = y2-y1/x2-x1

f) pick 2 points on the graph & determine their coordinates. find the difference in the y-coordinates (the rise) & the difference in the x-coordinates (the run) & divide them.

PLEASE HURRYYYY

find three points that solve the equation x- 4y=-18

Answers

Answer:

one of the three plots is (-2,4)

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,8) and (3, 4)

Answers

Answer:

6.40

Step-by-step explanation:

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