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.
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!
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
Learn more about cubes:
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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
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.
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
SOMEONE WITH A REAL AWNSER PLS HELP!
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:
You deposit $100 in a savings account. The account earns 5% simple interest per year.
A.)What is the interest earned after 8 years?
B.)What is the balance after 8 years?
The deposited amount in the bank is $100
The simple interest per year on the account is 5%
Every year the account holder will earn 5% of the deposit
In this case, the account holder will earn 5% of 100$ every year
So in the first year interest earned would be= 100× 5/100
= $5
Interest earned in first year= $5
Since the deposit amount is constant and interest is 5%
Interest earned in 8 years= 5×8
= $40
Interest earned after 8 years = $40
Balance after 8 years would be= Initial balance + Interest earned
= 100+ 40
=140
The balance in the account after 8 years is $140
For more information about simple interest:
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Can someone help me ASAP. It my math assignment and I don't know how to do it.
Answer:
Step-by-step explanation = 4096.25.125
2,097,152.2,560,000
= 12,800,000
5,368,709,120,000
= 0.000002384185791015625
Amber and Jessica go out for lunch. Amber’s lunch costs $11.70, and she tips 18%. Jessica’s lunch costs $12.30, and she tips 15%. Complete a true statement.
jessica paid [ 0.29 / 0.32 / 0.55 ] , [ more/ less ] than amber at lunch
Jessica paid more than Amber at lunch.
To find out, we first need to calculate the amount of tip each person left:
Amber's tip = 11.70 x 0.18 = $2.11
Jessica's tip = 12.30 x 0.15 = $1.85
Then we add the cost of the lunch and the tip for each person:
Amber's total cost = 11.70 + 2.11 = $13.81
Jessica's total cost = 12.30 + 1.85 = $14.15
So Jessica paid $0.34 more than Amber for lunch.
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
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.
please help (7TH GRADE MATH)
Answer:
1. Not a function
2. Function
3. Not a function
4. Not a function
Find the vertical distance between points X(−2,3) and Y(−2,114) .
Answer:
111
Step-by-step explanation:
114-3
Answer:
What I can tell is that they both share the same x coordinate. To help you understand, the horizontal line is from left to right, think of "The sun setting in the horizon.", it is often in the distance as a "left to right" line. So, I hope that helps, this leaves the vertical line as up or down.
With that out of the way, the x-axis lies on the horizontal line, whereas the y-axis lies on the vertical line.
Point coordinates are typically listed as (x, y), so... with that said, to find the distance we'll have to count downwards. As we know, negative x is to the left, negative y is further down, so... -3 to -12 is 9 points away.
Simple method: -3 - 9 = -12, or... -12 - -3 = -12 + 3 = -9.
In other words you get the basic idea, you can also just count, but whatever.
I BEEN STUCK ON THIS FOR THE LAST HOUR PLEASE HELPPPPPPP PLEASEEE
Answer: A)-4, D)2, and F)5
Step-by-step explanation:
If the inputs repeat themselves it no longer becomes a function :)
I don't know why kathy is like this
A boating company has the following notice at the gate:
"Children under the age of 13 are not allowed to operate a boat."
Part A: Write an inequality to show the age of children who are allowed to operate a boat. (5 points)
Part B: Describe in words how you can show the solution to this inequality on a number line. (5 points)
Answer:
Part A:
x > 13
Part B:
How to show this inequality on a number line is a closed circle on 13, going left of 13.
Step-by-step explanation:
Part A:
x represents the age of children who are allowed to operate the boat.
Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,
the inequality x > 13 reads x (the age of children) is greater than or equal to 13
Part B:
How to describe inequalities on a number line;
Closed circle: less than or equal to - or - greater than or equal to ( < , > )
Open circle: less than - or - greater than ( < , > )
To the right of the number on the number line: greater than
To the left of the number on the number line: less than
Find the horizontal distance between 2.5 , -1
Answer: the answer is 2
Step-by-step explanation:
Solve for z.
6z–2=6+10z
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
Whats the answer? I'll give brainleist!
Answer:
51 [tex]\frac{1}{5}[/tex] laps
Step-by-step explanation:
Answer:
Step-by-step explanation:
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
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 = a³
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.
Learn more about volume -
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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
Answer:
3
Step-by-step explanation:
Answer:
Option 2 is correct
Multiply equation B by 3 and add the result to A
Answer very quickly for points , thanks 5.0 stars and brainliest
the area of the compound shape below is 82cm^2
find the value of x
The value of x is four....
................
Makayla bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it increased by 12%. During the second year the value of the stock decreased by 7%. Write an expression in terms of x that represents the value of the stock after the two years have passed.
ASAP PLEASE!!
Which set only contains numbers that make the inequality true?
x+19<28
Responses
{3, 4, 5, 6}
{7, 8, 9, 10}
{10, 11, 12, 13}
{12, 13, 14, 15}
[tex]x+19 < 28\\x < 9[/tex]
Only [tex]\{3, 4, 5, 6\}[/tex] contains numbers less than 9.
Answer:
{3, 4, 5, 6}
Rewrite the expression c + 0.25c as a single term with a fractional coefficient.
please help (No spam) (No stu-pid answers please)
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)
Learn more about fractional coefficient by:
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Pls I need it by midnight pls help
Answer:
The number is 32
Step-by-step explanation:
In both the expressions, the equations inside the bracket are the same. Since Expression B is 8 times Expression A then, Expression B =
= 8 x (4[(1.5 + 100.25)x3.65])
= 8 x 4 = 32
= 32[(1.5 + 100.25)x3.65]
Therefore, the number is 32
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???
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°
A hat company wants to create a cylindrical travel case to protect its beach sun hats using the following pattern.
net drawing of a cylinder is shown as two circles with diameters labeled 17 inches and a rectangle with a height labeled 6 inches
How many square inches of leather will be necessary to create the travel case? Approximate using π = 3.14.
The amount of leather that will be necessary to create the travel case is given as follows:
373.66 square inches.
How to obtain the surface area of a cylinder?The surface area of a cylinder of radius r and height h is given by the equation presented as follows:
S = 2π r h + 2π r
The dimensions for the cylinder in this problem are given as follows:
r = 8.5 inches -> half the diameter.h = 6 inches.Hence the amount of leather that will be necessary to create the travel case is given as follows:
S = 2 x 3.14 x 8.5 x 6 + 2 x 3.14 x 8.5
S = 373.66 square inches.
More can be learned about the volume of a cylinder at brainly.com/question/9554871
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Angles A and B are corresponding angles. The measure of A is 135°. What is the measure of B?
A. mB = 45°
B. mB = 90°
C. mB = 125°
D. mB = 135°
Answer: hope this helps ♡
D. mB = 135°
Step-by-step explanation:
mA = 135°
mB = 135°
(most corresponding angles are equal)
Pls step-to-step :')
Answer: X = 20
Steps:
↳ First, I read the question, “Figure A is a scale image of Figure B”.
(Scale image = a smaller image of the original)
↳ Then, I divided 12.5 by 10 which was 1.25
↳ After that, I multiplied 1.25 by 16 to get 20.
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. Please comment if I am wrong! (Please explain why) -Doodle
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Kelly wants to make a fruit salad made up of bananas, apples, and peaches. She wants to mix one part apples, 2 parts peaches, and 3 parts bananas. Bananas cost $2.00 per pound, apples cost $4.00 per pound, and peaches cost $5.00 per pound. Kelly only has $10.00, and will spend it all on fruit salad. Write an equation and use this equation to determine how many pounds of fruit salad he can make.
Step-by-step explanation:
If x is the pounds of apples, 2x is pounds of peaches, and 3x is pounds of bananas, then the total cost is:
4(x) + 5(2x) + 2(3x) = 10
4x + 10x + 6x = 10
20x = 10
x = 0.5
Kelly buys 0.5 pounds of apples, 1 pound of peaches, and 1.5 pounds of bananas, for a total of 3 pounds of fruit.
PLEASE hurry, Thanks!
Answer:Min:4
Q1:6
Med:9.5
Q3:12.5
Max:17
Step-by-step explanation:
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=
