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The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm and a surface area of 1024 em'.
The smaller container has a volume of 1458 em.
Calculate the surface area of the smaller container,
[4]

Answers

Answer 1

Answer:

455.1 cm²

Step-by-step explanation:

The two containers have the following;

Large container

Volume : 3456 cm³

Surface area : 1024 cm²

Small container

Volume : 1458 cm³

Surface area : ?

If the two containers are mathematically similar then first find the volume scale factor

Volume of large/ volume of small

3456/1024 = 3.375

Length scale factor will be cube root of volume scale factor

∛3.375 = 1.5

Area scale factor is a square of the length scale factor

=1.5² = 2.25

=Surface area of the small container will be :

Larger area = 2.25 * small area

1024 = 2.25 * small area

1024/2.25 = small area

Surface area of the smaller container 455.1 cm².


Related Questions

Why do parallel lines never cross?

Answers Are

Answers

Answer:

C. Because they have the same slopes and different y-intercepts

Step-by-step explanation:

Answer:

Your answer would be the 3rd one.

Because they have the same slopes and different y-intercepts.

I hope that this is the answer you were looking for!

Have a great day!

Henry saw 28 blue, 16 red and 24 white cars drive by his house in 1 hour. What percent of the cars were blue? (Round answer to the nearest percent)
A. 24%
B. 65%
C. 41%
D. 35%​

Answers

Answer:

C

Step-by-step explanation:

The percentage is calculated as

% = [tex]\frac{blue}{total}[/tex] × 100%

Total number of cars = 28 + 16 + 24 = 68

number of blue cars = 28, then

% blue = [tex]\frac{28}{68}[/tex] × 100% = 41% ( to the nearest percent )

Zoey has a bag that contains orange chews, apple chews, and watermelon chews. She
performs an experiment. Zoey randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Zoey performs the experiment 57 times. The
results are shown below:
A orange chew was selected 39 times.
A apple chew was selected 6 times.
A watermelon chew was selected 12 times.
Based on these results, express the probability that the next chew Zoey removes from
the bag will be apple chew as a decimal to the nearest hundredth.

Answers

Answer: 54%

Step-by-step explanation:

32. Exercise Ahmit gets
exercise on the weekend by
working around the house.
On Saturday, he worked for
3 hours mowing the lawn and
raking leaves; He burned
885 Calories.
a. Write a system of
equations that can be used
to describe the amount
of time Ahmit worked and
the number of Calories
he burned by mowing
and raking
b. Determine how much time Ahmit spent on mowing and raking.

Answers

Answer:

X: time mowing lawn (325 Cal/hour)

Y:time raking leaves (275 Cal/hour)

325X + 275Y = 885

3 - X = Y

(1.2 hours mowing the lawn, 1.8 hours raking leaves)

Step-by-step explanation:

you forgot to include vital information. When ahmit rakes leaves, he loses 275 calories per hour. When he mows the lawn, he loses 325 calories per hour according to the textbook you got this from. If he works for 3 hours, you need to find the portion of each activity he did by working backwards from the total calories lost, 885.

what is the value of x in the diagram at the right

Answers

32 time 2 = 64. 4(x). The x is 16, so 4(16)= 64. The third line is just double the amount of the second line so the answer is 16!


Can someone please help me . WILL MARK BRAINLIEST !!

Answers

Answer:

(3,0)

Step-by-step explanation:

Hope this helps

Determine whether the function is linear or nonlinear? Help

Answers

Answer:

linear

Step-by-step explanation:

If it is linear, for each unit increase in x, there should be a constant change in y.

x=1, y=5

in x=2, we expect y to increase by 5 units, so 5+5 = 10, which is right.

x=3, expect 5 units increase, and we do see that as 10+5 = 15.

x=4, expect 5 unit increase, and 15+5 =20 so we see that

this is linear function, if nonlinear then we would see different changes of y for each unit increase of x.

please give thanks by clicking the heart button :)

Looks linear to me they are all a ratio of 1/5

plssssss help 0nly 1-4 i will give brainliest

Answers

1) .82-.41 = 41 and 1.64 - 1.23 = .41 so that is equal.
2) 64 - 40 = 24 and 112-88= 24 si that’s equal.
Explain why it’s equal; u can say they are both equal because...
The rest can’t help with sorry.
I will give explanation tho.
For 3 do x + y = ?
Insert the numbers you see and then do the x to whatever the x was so 4x and the x means 9 so multiply
4) do the same thing I explained with number 3 but with different numbers

I hope this helps :)

the width of a rectangle is ycm and its length is y+2 cm. if the perimeter of the rectangle is 32cm what is the width of the rectangle​

Answers

Answer:

[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]

ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴

⇒WIDTH = Y cm

⇒LENGTH =( y+2 )cm

⇒PERIMETER = 32cm

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

solution ↴

perimeter of rectangle = 2 ( length + width)

[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm

[/tex]

☛ so the width of the rectangle is 7cm

so we all done :D

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

If f(x)=7x+2 and x=1 what is the output value? Plzzz help ASAP

Answers

It is 7*1+2=9
The output is 9

A principal of ​$6000 is invested in an account paying an annual rate of 5​%. Find the amount in the account after 4 years if the account is compounded​ semiannually, quarterly, and monthly. ​(a) The amount in the account after 4 years if the account is compounded semiannually is ​$ nothing. ​(Round to the nearest​ cent.)

Answers

Solution :

Given :

Principal amount deposited, P = $ 6000

Rate of interest, r = 5%

Number of years, t = 4 years

When the deposited amount is compounded semiannually, i.e. n = 2

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.025)^8$[/tex]

       = 6000 x 1.2184

        = 7310.4

Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.

When the deposited amount is compounded quarterly, i.e. n = 4

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]

       = 6000 x 1.219889

        = 7319.334

Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.

When the deposited amount is compounded monthly, i.e. n = 12

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]

       = 6000 x 1.22089

        = 7325.34

Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.

7 inches of snow in 7 hours rate and unit rate​

Answers

Answer:

unit rate: (1,1)

Step-by-step explanation:

What angles are they ?

Answers

number 2 is your answer

Answer:

number 2 is your answer

Step-by-step explanation:

craig went to the store yesterday. he bought a pack of ice cream for $0.98, bottle of soda for $1.19, and a lunchable for $4.89. How much money did he spend altogether? Show work don't forget label ​

Answers

0.98+1.19+4.89 = $7.06 Craig spent all together yesterday

Answer: $7.06

Step-by-step explanation:

$0.98 + $1.19 + $4.89 = $7.06

I know the answer is 30 percent but I need the work

Answers

Answer:

See work below.

Step-by-step explanation:

There are 20 total blocks. 6 of them are painted. We can divide 6 by 20 and multiply that number by 100 to find the percentage of painted blocks.

6/20 = 0.3

Now, we need to multiply by 100 to convert to a percentage.

0.3 x 100 = 30%

Answer:

30% work below

Step-by-step explanation:

There are 20 squares in total if 6 are painted you get the fraction.

[tex]\frac{6}{20} /\frac{2}{2} = \frac{3}{10}[/tex]

3/10 as a decimal is .3

.3 as a percent is 30% because you move the decimal to the right 2 times.

Hope this helps ya!


HELP ASAP! WILL MARK BRAINLIEST

Answers

Answer:

it will be the first the 5th the 2nd and the 3rd

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Porción indefinida de plano limitada por dos líneas que parten de un mismo punto o por dos planos que parten de una misma línea y cuya abertura puede medirse en grados.

ángulos adyacentes Ángulos que tienen el vértice común, un lado común que los separa y los otros dos lados en línea recta.

Answer:

They are adjacent. x=10/3

Step-by-step explanation:

Solve the equation:
2x+1>7

Answers

Answer:

-3 and  infant soultion

Step-by-step explanation:

please since i gave u answer can u answe my recent question

I need help fast! Given the diagram below, find the length of CH.

Answers

Answer:19.8

Step-by-step explanation: if you look at the lines it describes the length of the area it’s on. Since there is 4 lines on right side it would be 9.9+9.9 which would give you and answer of 19.8 so CH=19.8

Answer:

CH=12

Step-by-step explanation:

CH=12

9.9+9.9=19.8

19.8x19.8=392.04

8x8=64

392.04-64=328.04

v328.4=18

18-6=12

Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct

Answers

Answer:

Yes.

Step-by-step explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7       Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.

Answer:

yes

Step-by-step explanation:

Given the 2 equations

y = x + 3 → (1)

y = - x + 7 → (2)

Substitute y = x + 3 into (2)

x + 3 = - x + 7 ( add x to both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus the functions intersect at x = 2

GwhbbsnNn mmNlnananK a Kknaba

Answers

dysodjd kfudoandudslfhsotn

Which shows the equation below written in the form ax2 + bx + c = 0? 2x2 - 3 = -6x - 2
A. 2x2 + 6x - 5 = 0
B. 2x2 - 6x - 1 = 0
C. 2x2 + 6x - 1 = 0
D. 2x2 - 6x - 5 = 0​

Answers

Answer:

C. 2x² + 6x - 1 = 0

Step-by-step explanation:

2x² - 3 = -6x - 2

2x² - 3 + 6x = -6x + 6x - 2

2x² - 3 + 6x = -2

2x² - 3 + 6x + 2 = -2 + 2

2x² + 6x - 1 = 0

Hope that helps.

The stock of Company A lost $2.55 throughout the day and ended at a value of $57.45. By what percentage did the stock decline?

Answers

Given:

Loss = $2.55

Value of stock after loss = $57.45

To find:

The percentage by which the stock decline.

Solution:

We have,

Loss = $2.55

Value of stock after loss = $57.45

Value of stocks before loss = Value of stock after loss + loss

                                              = $57.45 + $2.55

                                              = $60

Now,

[tex]\text{Percentage by which the stock decline}=\dfrac{\text{loss}}{\text{initial value}}\times 100[/tex]

[tex]\text{Percentage by which the stock decline}=\dfrac{2.55}{60}\times 100[/tex]

[tex]\text{Percentage by which the stock decline}=4.25%[/tex]

Therefore, the stocks of the company declined by 4.25%.

3x+2(2x−1)=33
what is x?

Answers

Answer:

x = 5

Step-by-step explanation:

3x + 2(2x − 1)= 33

simplify

3x + 4x - 2 = 33

7x - 2 = 33

add 2 to both sides

7x - 2 + 2 = 33 + 2

7x = 35

divide both sides by 7

7x/7 = 35/7

x = 5

What do you know about the following System of Equations?

y=3x + 4
y 3x + 9

The graph of the lines will have one come point of intersection

The graph of the lines will have no common point of intersection

The graph of the lines will have an infinite amount of points in common

The lines are the same

Answers

Answer:

graph have no common points of intersection

Step-by-step explanation:

since both slopes have a value of 3, the system of equations are two parallel lines.

parallel lines will never meet.

since the y intercepts (plug in 0 for x or look at the constant) are different, they are not the same line

180=16x -5+5x +4 +9O

Answers

Answer:

The answer is in the pic below

Step-by-step explanation:

Answer:

x = 4.3 (repeating 3) in Decimal Form

x = 13/3 in Exact Form

x = 4 1/3 in Mixed Number Form

Step-by-step explanation:

180=16x - 5 + 5x +4 + 90

180 = 21x -5 + 4 + 90 (combine like terms)

180 = 21x + 89

180 = 21x + 89 (subtract 89 on both sides)

-89           - 89

91 = 21x (divide 21 by both sides)

91/21 = 21x/21

4.3 (repeating 3) = x

Solve for x and then find the length of 2x + 6 and 3x + 6.

Answers

Answer:

Step-by-step explanation:

1. 2x + 6 = 3x-6

2. 2x = 3x-12

3. -1x=-12

4. x=12

2(12) + 6 = 30

3(12) - 6 = 30

Answer:

30

Step-by-step explanation:

because S angle = T angle, this is isosceles triangle

=> SV=TV <=> 2x+6=3x+6

<=> x=12

=> SV=ST=30

The ratio of buckets of yellow paint to buckets of red paint in the store is 3 to 4. There are 60 buckets of yellow paint. How many buckets of red paint are in the store?

Answers

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

Amount of yellow paint = 60

Required

Amount of red paint.

First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

3x = 7*60

x = 420/3

x = 140 buckets of paint

Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

Order the set of integers from greatest to least.{-8, 32, 55, -32, -19, -3}

Answers

Answer:

55,32,-3,-8,-19,-32

Step-by-step explanation:

55, 32, -3, -8, -19, -32

Explain how you can use the vertex form of a quadratic function to locate the vertex of the function's graph.

Answers

Answer:

quadratic function can find and write with the vertex and function the graph better.

Step-by-step explanation:

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