Amal usually brings lunch to the school in the lunch box shown below. The length, breadth, and height of the box are in the ratio of 2:3:4 and the sum of the cubes of length, breadth, and height of the box equals 33957 cm³.
Find the length of the longest edge of the box.
Find the sum of the length and breadth of the box.

Answers

Answer 1

Answer: length of longest side = 15092 cm

sum of length and breadth = 18856 cm

Step-by-step explanation:

1st question

length : breadth : height

    2     :       3      :      4

2 + 3 + 4 = 9

33957 ÷ 9 = 3773

longest side is the height because it has the biggest number in the ratio

∴ longest side = 4 × 3773 = 15092 cm

2nd question

length : breadth : height

    2     :       3      :      4

2 + 3 + 4 = 9

33957 ÷ 9 = 3773

→ length = 2 × 3773 = 7546 cm

→ breadth = 3 × 3773 = 11319 cm

∴ length + breadth = 7546 + 11319 = 18865 cm

Hope this helps!

Answer 2

The Length of longest edge of the box = 28 cm

The Sum of length and breadth of the box = 35 cm

Steps to calculate the length, breadth and height

Given, ratio(length : breadth : height) = (2:3: 4)

Let length = 2x, breadth = 3x and, height = 4x

Given, the sum of the cubes of length, breadth, and height of the box equals 33957 cm, therefore

[tex](2x)^3[/tex] + [tex](3x)^3[/tex] + [tex](4x)^3[/tex] = 33957

8[tex]x^{3}[/tex] + 27[tex]x^{3}[/tex] + 64[tex]x^{3}[/tex] = 33957

99[tex]x^{3}[/tex] = 33957

[tex]x^{3}[/tex] = 343

[tex]x^3[/tex] = [tex]7^3[/tex]                                                  

x = 7.

Therefore, length    = 2x = 2*7 = 14 cm, breadth = 3x = 3*7 = 21 cm, height   =  4x = 4*7 = 28 cm. Hence, Length of longest side(height) = 28 cm, Sum of length and breadth = 35 cm

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Related Questions

PART A AND PART B QUESTION (7TH GRADE MATH)

Answers

Answer:

D

D

Step-by-step explanation:

i might be wrong tho

I don't know why kathy is like this

Answers

kathy could have 7 1/5, or 7.2 bowls of cereal
7 full bowls or 7.2 to be exact

Cell phone company A charges $40 a month, with 500 free minutes and $0.10 a minute after that. Cell phone company B charges $25 a month and all minutes cost $0.05.

Answers

A = 40 + .1(M-500) for M>500

B = 25 + .05M

20 minutes a day for 30 days = 600 minutes per month

A(600) = 40+.1(100) = $50

B(600) = 25 + .05(100) = $30

Plan B is less expensive

40+.1(M-500)= 25+.05M

40-25- .1(500) = .05-.1M

.05M = 35
M= 35/.05 = 700 minutes will have the same cost under plan A or B

40+.1(200) = $60 under plan A
25+.05(700) = $60 under plan B
#SPJ1

I BEEN STUCK ON THIS FOR THE LAST HOUR PLEASE HELPPPPPPP PLEASEEE

Answers

Answer: A)-4, D)2, and F)5

Step-by-step explanation:

If the inputs repeat themselves it no longer becomes a function :)

The answers are A F and D

A rectangular building has an area of 1,110 square meters and a perimeter of 134 meters. What are the dimensions of the building?

Answers

Answer:

The dimensions of the rectangular building are 30 meters by 37 meters.

Answer:

30 by 37 meters

Step-by-step explanation:

Refer to the attached image to understand where the following formulas came from.

[tex]\text{Area,} \ A=1110 \ m^2\\\\\text{Perimeter,} \ P=134 \ m[/tex]

We have a system of equations

[tex]\Longrightarrow \left \{ {{xy=1110} \atop {2x+2y=134}} \right.\\\\\text{Taking equation 2} \rightarrow 2x+2y=134\\\\\Longrightarrow 2x=134-2y\\\\\Longrightarrow x=67-y \\\\\text{Now taking equation 1} \rightarrow xy=1110\\\\ \Longrightarrow (67-y)y=1110\\\\ \Longrightarrow 67y-y^2=1110\\\\ \Longrightarrow y^2-67y+1110=0\\\\\Longrightarrow (y-37)(x-30)=0\\\\\Longrightarrow \boxed{y=37 \ m \ or \ 30 \ m }[/tex]

When y=37:

[tex]x(37)=1110\\\\\Longrightarrow \boxed{x=30}[/tex]

When y=30:

[tex]x(30)=1110\\\\\Longrightarrow \boxed{x=37}[/tex]

So, the dimensions of the building are 30 by 37 meters.

Find the area of the shaded region.

Answers

Answer:

are means to multiply and perimeter means to add so you multiply the numbers outs the polygon

Step-by-step explanation:

PART A AND PART B QUESTION PLEASE ANSWER GOOD WORTH LOTS OF BRAINLY POINTS (7TH GRADE MATH)

Answers

Answer:

c and a

Step-by-step explanation:

the answer for the first one is C and the second is A

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I’m timed!!!!!!!!!!!!! Literally!!!!!!!!!!!!!! Please help!!!!!!!!!!!!!!!!! (The thing wont let me do it in caps, that’s why so many ‘!’ Are there.) 16 Points!!!!!!
Which graph shows the result of dilating this figure by a factor of One-third about the origin?

A. On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).
B. On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
C. On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).
D. On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
E. On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).

Answers

Answer is A!

Hope this helps :)

I think the answer is also A

PEMDAS Quiz

Objective: Use the order of operations to solve two-step problems

Directions: Evaluate and solve each expression using PEMDAS.

1) 6 x 2 - 2=

2) 4 + 9 3=

3) (7 - 3) x 4=

4) 9 - 7 + 5=

5) 8 2 + 6=

6) (28 - 7) + 2=

7) (6 - 2) + 4=

8) (8 - 5)+ 9=

9) 16 2 + 4=

10) 2 x 5 5=

Answers

1 ) 10
2 ) I don’t know the symbol after 9
3 ) 16
4 )7
5 ) I don’t see the symbol after 8 (unless multiplication the answer is 22)
6) 23
7) 8
8) 12
9) I don’t know the symbol after 9
10) 15
1) 10
2) 31
3) 16
4) 7
5) 22
6) 23
7) 8
8) 12
9) 260
10) 0

Solve the congruence 5x ≡ 6 (mod7).

______, m is any integer

Answers

Answer:

Step-by-step explanation:

To solve the congruence 5x ≡ 6 (mod 7), we need to find a value for x that satisfies the equation.

First, we'll find the multiplicative inverse of 5 modulo 7. The multiplicative inverse of a modulo m is a number x such that ax ≡ 1 (mod m). In this case, we need to find a number x such that 5x ≡ 1 (mod 7).

To find the multiplicative inverse, we can try different values of x and compute the result until we find one that satisfies the equation. Alternatively, we can use a more efficient method like the Extended Euclidean Algorithm.

Using the Extended Euclidean Algorithm, we find that the multiplicative inverse of 5 modulo 7 is 3, as 5 * 3 ≡ 1 (mod 7).

Now, we can multiply both sides of the congruence by the multiplicative inverse (3) to isolate x:

5x ≡ 6 (mod 7)

3 * 5x ≡ 3 * 6 (mod 7)

15x ≡ 18 (mod 7)

Reducing the coefficients:

1 * x ≡ 4 (mod 7)

Since x ≡ 4 (mod 7), the solution to the congruence 5x ≡ 6 (mod 7) is x ≡ 4 (mod 7). This means that x can be written as x = 4 + 7k, where k is any integer.

Since x = 4 (mod 7), the solution to the congruence 5x = 6 (mod 7) is x = 4 (mod 7). This means that x can be written as x = 4+ 7k, where k is any integer

please explain with the answer

Answers

Answer:

First box (Top left): y + x = 4

Second box (Top right): y = x + 4

Third box (Bottom): y = (1/4)x

Step-by-step explanation: For the first box on the top left, the line is shown going down which means as x increases, y decreases resulting in a negative slope. Since the equation of a line has the form y = mx + b where m represents the slope, m would be a negative number for a negative slope. By rearranging the equations above, we can write y + x = 4 as y = -x + 4 after subtracting both sides by -x to make it look like the form y = mx + b. Since this is the only equation with a negative slope and the y-intercept (where the line intercepts the y-axis) represented as b is 4 as shown in the graph and the equation, the equation for this line is y + x = 4.

For the second box on the top right, the line is shown going up which means as x increases, y increases resulting in a positive slope. Since the slope is now positive, the m, in the same form, y = mx + b, would be a positive number. The y-intercept or b is also still 4 as shown in the graph as the line intersects the y-axis so by looking at the options above, the equation for this line is y = x + 4.

For the third box on the bottom, the line is shown with a less steep slope going up meaning as x increases, y increases with a lower slope. Since the slope will still be positive but lower than the previous line with a y-intercept of 0 as shown in the graph, the equation for this line is y = (1/4)x.

Find the horizontal distance between points Y(1,−3/4) and Z(−1,−3/4) .

Answers

Answer:

C.Subtract x- vlaues 8-3=5 units

Step-by-step explanation:

Three students each received a weekly allowance. They each spent some and donated the remainder to their classroom charity. Who donated the most?

Weekly
Allowance Number of
Weeks Saved Amount
Spent
Sheila $5 3 $9
Mario $4 4 $8
Gina $6 4 $17

Answers

Answer:

Mario

Step-by-step explanation:

Sheila has a 5 dollar allowance and saved for 3 weeks. 3 x 5 = 15 dollars saved total. She spends 9 of the 15. 15 - 9 = 6, so Sheila donated 6 dollars.

Mario has a 4 dollar allowance and saves for 4 week. 4 x 4 is 16 dollars saved. He then spends 8 of them, 16 - 8 = 8 dollars donated.

Gina has a 6 dollar allowance and saves for 4 weeks. 6 x 4 is 24. She then spends 17 dollars. 24 - 17 is 7 dollars donated.

Sheila donates 6 dollars. Mario donates 8 dollars. Gina donates 7 dollars.
Out of the three, Mario has donated the most.

Please help i'm so confused

Answers

Answer:1/8

Step-by-step explanation:

1/8 is the correct answer

Solve for z.
6z–2=6+10z

Answers

Answer:

z = -2

Step-by-step explanation:

6z - 2 = 6 + 10z

-6z         =    -6z

Subtract 6z from both sides.

-2 = 6 + 4z

Subtract 6 from both sides.

-8/4 = 4z/4

Divide both sides by 4 to get z.

-2 = z

I think it’s 2

6z-2=6+10z
-6 -6
_________
-2=6+4z
+2 +2
________
8=4z
_ _
4 4

8 divided by 4 equals 2

X=2

Rewrite the expression c + 0.25c as a single term with a fractional coefficient.
please help (No spam) (No stu-pid answers please)

Answers

Answer:

5c/4

Step-by-step explanation:

c = c × 1

0.25c = 0.25c × 1

c + 0.25c

Take " c " common.

= c × (1 + 0.25)

= c × 1.25

Convert 1.25 into a simpler fraction

1.25

= 125/100

= 5/4

c × 1.25

= c × 5/4

= (c × 5)/4

= 5c/4

The fractional coefficient is (5c/4)

What is a coefficient?

A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term

Given:

[tex]\sf c+0.25c[/tex]

[tex]\sf =(1+0.25)c[/tex]

[tex]\sf =(1.25)(c)[/tex]

[tex]\sf =1.25c[/tex]

[tex]\sf =\dfrac{125}{100}[/tex]

[tex]\sf =\dfrac{5}{4}[/tex]

[tex]\sf =\dfrac{5c}{4}[/tex]

Hence the fractional coefficient is (5c/4)

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HELP PLS ASAP! An office manager needs to wrap a box with paper for shipping. A figure of the rectangular prism is shown.

How much paper does the manager need to wrap the entire box?


A. twenty-two and three-fourths in2

B. twenty-eight and seven-eighths in2

C. forty-nine and three-fourths in2

D. ninety-nine and one-half in2

Answers

Answer: 49.75 in^2 (letter C)

Step-by-step explanation:

2*3.5*2=14

2*3.25*2=13

2*3.5*3.25=22.75

14+13+22.75=49.75 sq. in.

The answer is a 22 and 3/4

A theater company has raised $810.75 by selling 15 floor seat tickets. Each ticket costs the same.

Part A: Write an equation with a variable that can be solved to correctly find the price of each ticket. Explain how you created this equation. (5 points)

Part B: Solve your equation in Part A to find the price of each floor seat ticket. How do you know your solution is correct? (5 points)

Answers

Part A:
Let's assume the price of each floor seat ticket is represented by the variable 'x'.

Since the theater company has raised $810.75 by selling 15 floor seat tickets, we can create an equation using the concept of total revenue. The total revenue is calculated by multiplying the price of each ticket by the number of tickets sold.

Therefore, the equation can be written as:

15x = 810.75

In this equation, '15x' represents the total revenue from selling 15 tickets at the price of 'x' per ticket, and '810.75' represents the total amount of money raised.

Part B:
To solve the equation 15x = 810.75, we need to isolate the variable 'x' on one side of the equation.

Dividing both sides of the equation by 15, we have:

x = 810.75 / 15

Evaluating the division, we find:

x ≈ 54.05

Therefore, the price of each floor seat ticket is approximately $54.05.

To confirm the solution, we can substitute the value of 'x' back into the original equation:

15 * 54.05 ≈ 810.75

This equation holds true, as the left side is approximately equal to the right side. Hence, we can conclude that the solution is correct.

I hope this helps! :)

Part A: 15x= $810.75. Part B: x= $54.05

The total money earned from 15 tickets is $810.75.

Assume, the money earned from selling 1 ticket is $x.

Therefore, the money earned from selling 15 tickets= 15*x= 15x= $810.75

Here, the variable, i.e. the changing value, is x which is the price of each ticket. The equation hence derived is 15x= $810.75.

Using the equation above,

15x= $810.75.

Dividing both sides by 15,

We get,

x= $54.05

Hence, $54.05 is the price of each ticket.

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Anna Beth has two fish tanks. They are both cubes. The side length of one of the tanks is 15 cm. The side length of the other is 45 cm. What is the ratio of the volume of the smaller tank compared to the volume of the larger tank?(1 point)

The options are
45/15
1/27
1/3
27/1

Answers

Question 1)

Volume of Tank A = Sum of volume of its two parts.

So,

Volume of Tank A = 24 + 96 = 120 cubic feet

Question 2)

Volume of Tank B and Tank A is the same. So, Volume of Tank B = 120 cubic feet

One section of Tank B = 45 cubic feet

So, volume of other section of tank B = 120 - 45 = 75 cubic feet

hope this helps sorry

The ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27. Option B is correct.

Ratio of the volume of the smaller tank compared to the volume of the larger tank = Volume of smaller tank/Volume of larger tank.

Volume of cube =

a = length of side of cube.

Length of the side of the smaller tank = 15cm.

Length of the side of the larger tank = 45cm.

Volume of smaller tank = (15)³ = 3375 cm³

Volume of larger tank = (45)³ = 91125 cm³

Ratio of the volume of the smaller tank compared to the volume of the larger tank = 3375/91125 = 1/27.

Therefore the ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27.

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the temperature at 2 pm is 27° at 2 am the temperature has fallen to -4° what is the total difference in temperature from 2:00 pm to 2:00 am???

Answers

Answer:

The temperature difference is equal to 27-(-4)=31.

Step-by-step explanation:

Answer:

31° .

Step-by-step explanation:

we need to calculate the temperature difference between 2 pm and 2 am we can get the difference by subtracting the temperature at 2 am from the temperature at 2 pm

the temperature at 2 pm is 27°  

the temperature at 2 am is -4°

the temperature difference between 2 pm and 2 am is:

27° - (-4)°  = 31°

HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP!


A colored spinner with 8 numbered sections is given.


Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.


Determine the theoretical probability of the spinner not landing on red, P(not red).




A. 0.125


B. 0.250


C. 0.675


D. 0.875

Answers

D
The probability of the spinner landing on not red
its D, since there are 8 sections and it says not landing on red. the fraction would be 7/8, then you divide 7 by 8 and get 0.875.

help im timed is it a b c d

Answers

Answer:

Since ABC and DEF are congruent, they have the same measures so DE and AB are equal. This gives you the answer of A) 16 cm.

I hope this helps, have a great day! :)

16 since ab lines up with de

Find the area of the figure below

Answers

Answer: x∛⇄t¬∝∠∧

Step-by-step explanation:

Answer:

Step-by-step explanation:

17 times 9= 153 and 15 times 3=45 so the awnset is 198

ASAP PLEASE

Which phrase describes 9y−8=31?

Responses

1: an equation with a constant term of 9

2: an expression with a constant term of 9

3: an equation with a variable that has a coefficient of 9

4: an expression with a variable that has a coefficient of 9

Answers

Answer:

3

Step-by-step explanation:

Answer:

Option 2 is correct

Multiply equation B by 3 and add the result to A

Write each expression without the absolute value symbol.

Answers

Answer:

Step-by-step explanation:

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

How to solve

From the given parameters

We have,

|(x - 19) + 11|

This can be written as,

= |x - 19 + 11|

= |x - 8|

Now,

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

Thus,

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

Read more about absolute value here:

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#SPJ1

PLEASE hurry, Thanks!

Answers

Answer:Min:4

              Q1:6

              Med:9.5

              Q3:12.5

              Max:17

Step-by-step explanation:

A = 40 + .1(M-500) for M>500

B = 25 + .05M

20 minutes a day for 30 days = 600 minutes per month

A(600) = 40+.1(100) = $50

B(600) = 25 + .05(100) = $30

Plan B is less expensive

40+.1(M-500)= 25+.05M

40-25- .1(500) = .05-.1M

.05M = 35
M= 35/.05 = 700 minutes will have the same cost under plan A or B

40+.1(200) = $60 under plan A
25+.05(700) = $60 under plan B

Solve for u. -9–4u=-u

Answers

Answer:

u = -3

Step-by-step explanation:

-9 - 4u = -u

    +4  = +4

Add 4u to both sides.

-9 = 3u

Divide both sides by 3

-9/3 = 3/3

-3 = u

Answer: The variable u  is equal to -3 for this equation.

Step-by-step explanation:

To solve this variable equation, you will need to follow these steps:

Rewrite the equation, moving 9 to the other side, adding it on both sides, and simplify

-4u = -u + 9

After that, move u to the other side of the equation, also adding it on both sides and simplify

-3u = 9

Then divide both sides by -3, simplify it one last time and you will get your answer!

-3

Therefore, the answer to this equation would be equal to negative three or -3. Hope this helps!

Please help with this its a part A and part B question worth all my points
Function related btw

Answers

Answer:

Part A is c

Step-by-step explanation:

A function is a graph thag passes the vertical line test ,meaning it touches the vertical line only once so in order for that happen a point must have one x value (input) and one y value (output)

SOMEONE WITH A REAL AWNSER PLS HELP!

Answers

Answer: 8 minutes.

Step-by-step explanation:

didn’t have to waste your points there was already an expert verified brainly question for this exact question

it will takes 8 minutes to catch up

Step-by-step explanation:

Please help! -Screenshot-

Answers

Answer:

c

Step-by-step explanation:

so you add 12-12-43 and get 120 so ya

Answer: It's D!!

Step-by-step explanation: 1 is more than -2:)

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