1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galina1969 [7]
3 years ago
15

A rectangular sheet of metal is 10 cm longer than it is wide. Squares 5 cm on a side, are cut from the corners of the sheet, and

the flaps are bent up to form an open topped box having volume 6 liters. Find the original dimensions of the sheet of metal. 1L=1000cm³
Mathematics
1 answer:
3241004551 [841]3 years ago
4 0
Let width be x
length = x+10
5cm is cut from the corners.
so length & width reduce by 10 cm.
..
the width will be x-10
length will be x+10-10
height will be 5cm
...
x(x-10)*5=6000 1 liter = 1000 cm^3
5x^2-50x-6000=0
/5
x^2-10x-600=0
x^2-30x+20x-600=0
x(x-30)+20(x-30)=0
(x-30)(x+20)=0
x= 30 the width
length = 40
...
CHECK
30*40*5= 6000 = 6 liters
You might be interested in
Use words to write a comparison statement for the problem above.
pantera1 [17]

Looking at the question we can see that it says:

41253>35214

We should know what these symbols mean:

stands for something less than the other, for example:

We can say that 2 is less than 5 so in a symbolic form it can be written as,

2

Similarly,

> stands for something greater than the other, for example:

We can say that 7 is greater than 5, in a symbolic form it can be written as,

7>5

So here, 42153>35214 means that, 42153 is greater than 35214.

6 0
3 years ago
Read 2 more answers
A car dealership offers a special interest rate of 3.5%. What is 3.5% written as a decimal? A. 0.0035 B. 0.035 C. 0.35 D. 35.0
wel
Make 3.5% out of 100: \frac{3.5}{100} 3.5÷100=0.035. So the Answer is B. 0.035.
7 0
3 years ago
1) Triangle ABC is a similar to triangle QRS by the AA Similarity Postulate
kupik [55]
The m<B for question 1 is 46 degrees, for question 2 the m<Y is one hundred and seventeen degrees.
8 0
3 years ago
Hernando ate StartFraction 2 Over 8 EndFraction of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told th
ozzi

Answer:

Yes, they are correct. Hernando divided 6 by 6.

Step-by-step explanation:

Given that:

Hernando ate 2/8 of a pizza for dinner.

Let the pizza be x. Then:

Hernando ate \dfrac{2}{8} \ \ o f  \ \ x

Then he gave the rest of the pizza to his friends

Hernando now carried out the  following calculations to support his activities;

\dfrac{6}{8} \div 6= \dfrac{6 \div 6}{8}= \dfrac{1}{8}

\dfrac{6}{8} \times \dfrac{1}{6}= \dfrac{6 \div 6}{8}= \dfrac{1}{8}

From the above calculation; we will see that Hernando divided 6 by 6 in both cases to get \dfrac{1}{8}.

Thus, the correct answer is:

Yes, they are correct. Hernando divided 6 by 6.

3 0
3 years ago
Read 2 more answers
You have one type of nut that sells for $4.50/lb and another type of nut that sells for $8.00/lb. You would like to have 28 lbs
-Dominant- [34]

Answer:

I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.

Step-by-step explanation:

Since I have one type of nut that sells for $ 4.50 / lb and another type of nut that sells for $ 8.00 / lb, and I would like to have 28 lbs of a nut mixture that sells for $ 7.80 / lb, to determine how much of each nut will I need to obtain the desired mixture, the following calculation must be performed:

8 x 0.95 + 4.5 x 0.05 = 7.825

8 x 0.94 + 4.5 x 0.06 = 7.79

0.94 x 28 = 26.32

26.4 x 8 + 1.6 x 4.5 = 218.4

218.4 / 28 = 7.8

Thus, I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.

7 0
3 years ago
Other questions:
  • The top of a kitchen table measures 160 cm by 90 cm. A beetle walks diagonally across the table. How far does it walk (to the cl
    5·1 answer
  • What is the sum of two numbers is 32 and their quotient is 3 what is the answer?
    15·2 answers
  • Jemina flips a disc of the type shown below:
    15·1 answer
  • In the figure shown, A is the midpoint is SM
    10·2 answers
  • Solve each equation algebraically using if–then statements to justify each step. 1. 5 + 4 = 19
    7·2 answers
  • Parallel to y = 2/3x+6<br> through (-3, 6)
    8·1 answer
  • The diameter of your bicycle wheel is 24 inches. How far will you move in one turn of your wheel?
    15·1 answer
  • Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
    11·1 answer
  • Is 1.4, 4.8, 5 a right triangle?
    10·1 answer
  • Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games. (More Than 1 Answer)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!