A teacher has two boxes. The first box has a height of 15 in., a width of 6 in., and a length of 8 in. The second box’s dimensions are twice that of the first box. How many times larger is the surface area of the second box than the first box?
A. The surface area of the second box is 6 times larger.
B. The surface area of the second box is 4 times larger.
C. The surface area of the second box is 3 times larger.
D. The surface area of the second box is 2 times larger.

Answers

Answer 1

Answer:

The correct option is B: the surface area of the second box is 4 times larger.

Step-by-step explanation:

The surface area of the first box is given by:

[tex] SA_{1} = 2l_{1}h_{1} + 2w_{1}h_{1} + 2l_{1}w_{1} [/tex]

Where:

l₁: is the length = 8 in

h₁: is the height = 15 in

w₁: is the width = 6 in

[tex] SA_{1} = 2*8*15 + 2*6*15 + 2*8*6 = 516 in^{2} [/tex]

The second box's dimensions are:

l₂ = 2*8 in = 16 in

h₂ = 2*15 in = 30 in

w₂ = 2*6 in = 12 in

Hence, the surface area of the second box is:

[tex]SA_{2} = 2*2l_{1}*2h_{1} + 2*2w_{1}*2h_{1} + 2*2l_{1}*2w_{1} = 4(2l_{1}h_{1} + 2w_{1}h_{1} + 2l_{1}w_{1}) = 4*SA_{1} = 4*516 in^{2} = 2064 in^{2}[/tex]

Therefore, the correct option is B: the surface area of the second box is 4 times larger.

I hope it helps you!                              


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How many lines of symmetry does this triangle have

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Answer:

Option A:

1 line of symmetry

A rectangular prism has a length of 84 inches, a width of 5 inches, and a height of 2 inches. Oscar has a storage container for the
prism that has a volume of 100 cubic inches.
What is the difference in volume between the prism and the storage container?
Enter your answer in the box as a simplified mixed number or a decimal.
in

Answers

The rectangular prism’s volume would need to be calculated.

Volume = length * width * height

Volume = 84 * 5 * 2

Volume = 840

The difference needs to be subtracted

840 - 100 = 740

740

[tex]\sqrt 2/\sqrt18[/tex]

Answers

Answer:

1/3

Step-by-step explanation:

We need to simplify the given radical form . Some properties that we will use is ,

[tex]:\implies[/tex] a / b = [ a/b]

The given radical form is ;-

[tex]:\implies[/tex] 2/18

We can write it as ,

[tex]:\implies[/tex] [ 2/18]

[tex]:\implies[/tex] [ 1/9]

[tex]:\implies[/tex] [1/]

[tex]:\implies[/tex] 1/3

Hence the required answer is 1/3.

Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

[tex]\pi = \frac{22}{7} = 3.143143[/tex]

Step-by-step explanation:

But my question is, what's your question??

Answer:

49π

Explanation:

I did the assignment on khan

What part is labeled on this normal curve?
A. The mean
B. The variance
C. The standard deviation
D. The area​

Answers

Answer: Standard Deviation

Step-by-step explanation:

I got it right on Acellus

what percent of 144 is 36
no links ​

Answers

Answer:

25

Step-by-step explanation:

We already have our first value 36 and the second value 144. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 Y =  36/ 144

By multiplying both numerator and denominator by 100 we will get:

STEP 2 Y =  36/ 144  ×  100/ 100 =  25/ 100

STEP 3 Y = 25

Finally, we have found the value of Y which is 25 and that is our answer.

If you want to use a calculator to find 36 is what percent of 144, simply enter 36 ÷ 144 × 100 and you will get your answer which is 25

a line passes through the point (0,-3) and has a slope of -2 what is the equation of the line?

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

y = -2x + b

-3 = -2(0) + b

-3 = 0 + b

b = -3

Jessica is selling books during the summer to earn money for college. She
earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(x) = 10x - 30, where x is the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
Which of the following are reasonable interpretations of the y-intercept of
Jessica's function?
Check all that apply.
A. She can earn $10 per week even if she does not knock on any
doors
B. Her expenses are $30 per week.
c. If she does not knock on any doors at all during the week, she will
lose $30
D. She will lose $10 per week if she does not knock on any doors.

Answers

Answer:

C. if 10x is the door she have to knock so the -30 is how much she will earn during the week and if she doesn't knock any then she will lose the whole $30 dollars . sorry i can't explain myself good but i think it is so

Answer: B and C (took the test)

Step-by-step explanation:

B. Her expenses are $30 per week

C. If she does not knock on any doors at all during the week, she will lose $30.

If I traveled 240 miles if a car goes 240 miles in 4 hours how far could it go in 6 hours and 30 minutes

Answers

Answer:

390 miles

Step-by-step explanation:

[tex]\frac{6.5}{4} :\frac{y}{240}[/tex]

y · 4 = 240 · 6.5

4y = 1560

4y ÷ 4 = 1560 ÷ 4

y = 390

If (-10,8) is a point on the terminal side f a angle 0 in standard position what is the value of tan0?

Answers

Answer:

The value of the tangent is [tex]-\frac{4}{5}[/tex].

Step-by-step explanation:

Let be [tex]A(x,y) = (-10, 8)[/tex] on the terminal side of an angle in standard position and let be [tex]O(x,y)[/tex] the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex] (1)

Where:

[tex]x_{A}, x_{O}[/tex] - x-Coordinates of point A and point O.

[tex]y_{A}, y_{O}[/tex] - y-Coordinates of point A and point O.

If we know that [tex]x_{A} = -10, x_{O} = 0[/tex], [tex]y_{A} = 8[/tex] and [tex]y_{O} = 0[/tex], then the value of the tangent is:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex]

[tex]\tan \theta = \frac{8-0}{-10-0}[/tex]

[tex]\tan \theta = -\frac{4}{5}[/tex]

HELPPP PLEASE I HAVE A TEST!!​

Answers

Answer:

180

Step-by-step explanation:

The two angles on the line should add up to 180! Because a straight line is 180 degrees!

Find two numbers that meet the requirements of the situation in each question. Put the smaller of the two numbers in the first blank and the larger of the two numbers in the second blank. One answer is positive and the other is negative. Give the negative answer first.

Multiply to give you -64 and add to give you 0.

Answers

Answer:

-8, 8 are the numbers

Step-by-step explanation:

8x-8 = -64

8+ -8 =0

This dot plot is symmetric, and the data set has no
extreme values.

What is the best measure of center for this dot plot?
O A. The mean absolute deviation (MAD)
O B. The smallest value
O C. Either the mean or the median
D. The interquartile range (IQR)

Answers

Answer:

c. either the mean or the median

Step-by-step explanation:

mean - 3 median - 4

Answer:

c

Step-by-step explanation:

either the mean or median pls give brainlist

You flip a fair coin 24 times. About how many times would you expect heads to appear? If a fair coin is flipped 24 times then heads should appear about times.

Answers

Answer:

12   50/50 chance

Step-by-step explanation:

solve for v.
v/6=19.2

Answers

Answer:

115.2

Step-by-step explanation:

I used Photo math and searched it hope this helps

19. A ladder leans against the wall and reaches a point
24 feet up the wall. The base of the ladder is 6 feet
from the wall. To the nearest degree, what angle
does the ladder make with the wall?
D
24
E 6 F

Answers

Answer: 14

Step-by-step explanation:

What would this be? Please help.

Answers

Answer:

-176

Step-by-step explanation:

Let x = -8

f(-8) = 11 (-8-24) / 2

         Simplify the parentheses

f(-8) = 11 ( -32)/2

        = 11 (-16)

        = 176

-176
Sorry if wrong

HURRY! please help i’ll give brainliest

Answers

Answer:

The first and third options.

Explanation:

Look at each column and add the number of families.

Austin thinks that the inequality 6x - 4y is greater than or equal to 10 should be shaded above the boundary
line because it uses the greater than or equal to inequality
symbol. Is he correct? Explain.

Answers

Answer:

no, you shade below the line. you'd have to turn the inequality into slop intercept form, meaning y[tex]\leq[/tex]3/2x-5/2.

2. 3, 6, 12, 24, 48, 96, ….
Circle one: Arithmetic or Geometric
Fill in the value of d = _____ or r = ______
Identify the value of the 5th term: _________

Answers

Answer:

geometric with r = 2

Step-by-step explanation:

An arithmetic sequence has a common difference between consecutive terms

6 - 3 = 3

12 - 6 = 6

24 - 12 = 12

48 - 24 = 24

96 - 48 = 48

As we see the differences are not common, so not arithmetic

A geometric sequence has a common ratio between consecutive terms.

6 ÷ 3 = 2

12 ÷ 6 = 2

24 ÷ 12 = 2

48 ÷ 24 = 2

96 ÷ 48 = 2

There is a common ratio of 2, so sequence is geometric

with 5th term = 48

What is the value of 8 + 2^3 x 5?

Answers

Answer:

I think the answer is 48

Step-by-step explanation:

2^3 = 8

8 x 5 = 40

40 + 8 = 48

Please help me! I'm asking for help I need all the help I can get.

Answers

Answer:

45

Step-by-step explanation:

PLZZZ HELP RN ASAP TYSM

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It would probably be 56.55

If 4(x + 2) = 36, then x =​

Answers

Answer: 7

Step-by-step explanation: use algebra to solve this. 4(x+2)=36

4x+8=36

4x+8-8=36-8

4x=28

x=7

Hope this helps

Answer:

x = 7

Step-by-step explanation:

4(x + 2) = 36

4x + 8 = 36

4x + 8 - 8 = 36 - 8

4x = 28

4x ÷ 4 = 28 ÷ 4

x = 7

Check:

4(x + 2) = 36

4(7 + 2) = 36

4(9) = 36

Jeremy ran a mile in 5 minutes and 8 seconds. Write the time in minutes as a decimal.

Answers

Answer:

5.133333

Step-by-step explanation:

Help me please ASAP !!!!

Answers

Answer:

A, the first one

Step-by-step explanation:

What is 8 to the power of 4?

Answers

Answer:

4096

Step-by-step explanation:

(8 • 8)(8 • 8)
= 64 • 64
=4096

Meg is decorating a ballroom ceiling with garland the width of the rectangle ceiling is 42 meters and the diagonal distance from one corner to the opposite corner is 70 metere . How much garland will meg need for the length of the ceiling

Answers

Answer:

[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.

Step-by-step explanation:

Width of a rectangle ceiling [tex](w)=42 \,m[/tex]

Diagonal of a rectangle ceiling [tex](d)=70\,m[/tex]

Let [tex]l[/tex] denotes length of a rectangle ceiling.

The relationship between length, width and diagonal of a rectangle is given as follows:

[tex]d^2=l^2+w^2\\70^2=l^2+42^2\\4900=l^2+1764\\l^2=4900-1764\\l^2=2236\\l=47.3\,m[/tex]

So,

[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.

Brainliest goes to whoever answers correctly try to show work ONLY if you can

Answers

Matt’s gym charges more to reserve the basketball court.

To determine Matt’s cost of reserving the court, look for the difference between the mostly cost each time the court is reserved another time.

The cost of reserving the court one time is: $52.75.

The cost of reserving the court two times is: $55.50.

$55.50 - $52.75 = $2.75, therefore the cost of reserving the court is $2.75.



However it’s important to check your work to make sure that the cost increases by a constant amount. Check the difference between each time the court is reserved another time.

The cost of reserving the court two times is: $55.50.

The cost of reserving the court three times is: $58.25.

$58.25 - $55.50 = $2.75. The cost of reserving the court for a third time is an additional $2.75.

Finally, The cost of reserving the court three times is: $58.25.

The cost of reserving the count a forth time is $61.

$61 - $58.25 = $2.75, therefore the incremental cost of reserving the cost a forth time is $2.75.

Based on the information, Matt’s gym charges $2.75 every time he wants to reserve a court, whereas Tyrell’s gym only charges him $2.00, therefore Matt’s gym charges more.
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