answer.
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
Evgen [1.6K]
2 years ago
13

. Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf

measured 3 feet 2 inches wide. What is the length of the remaining piece of board?​
Mathematics
1 answer:
liberstina [14]2 years ago
3 0

Answer:

The length of the missing piece is 2 ft 3 inches

Step-by-step explanation:

Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.

Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces

That would be;

10 ft - 4 ft 7 inches - 3 ft 2 inches

In a foot there are 12 inches

Thus

10 ft = 10 * 12 = 120 inches

4 ft 7 inches = 4(12) + 7 = 55 inches

3 ft 2 inches = 3(12) + 2 = 36 + 2 = 38 inches

Thus the length of the remaining piece would now be;

120 -55 -38 = 27 inches

That is same as 24 + 3 inches

24 inches = 2 ft

So 27 inches = 2 ft 3 inches

You might be interested in
When a problem involves more than one unit for a characteristic ( such as length) how can you tell which unit use is more approp
Art [367]

In the absence of clues, it is a judgment call.

Often, the problem statement or answer choices will tell you the desired units.

In general, units are available so that you can express dimensions in 4 or fewer digits with appropriate units. There are a few gaps, but the reason units are what they are is to make expressing everyday values easy to do.

SI units are easy to work with on this score, as the various available prefixes ensure that you can always express a quantity using a number between 1 and 1000. This is generally what you want to do (in the absence of direction otherwise).

For some things, there are customary units that are expected. Vehicle speed is unusally miles (or kilometers) per hour, for example. Land area is usually square feet, acres, or square miles in US units, or square meters, hectares, or square kilometers in SI units.

Generally, too, it is appreciated by your reader if the units you choose are ones they are familiar with. In most applications, you'd choose feet or yards or miles instead of furlongs, for example (unless your audience is familiar with racetrack distances).

7 0
2 years ago
Read 2 more answers
If the shaded cross sections of the solids have the same area, which of the following corresponds to the value of a: the side le
Nikolay [14]

Answer:

4\sqrt{\pi}

Step-by-step explanation:

  • The cross section of a sphere is a circle with area  \pi r^2, where radius is given as 4
  • The cross section of the cube is a square with area  a^2, where a is side length of square

The circle area = the square area. Thus we have:

\pi r^2 = a^2 \\\pi(4)^2=a^2\\16\pi=a^2\\\sqrt{16\pi}=a\\ a=\sqrt{16} \sqrt{\pi} \\a=4\sqrt{\pi}

6 0
2 years ago
Read 2 more answers
In order to produce 100 oatmeal cookies, Goodie Cookie Co. incurs an average total cost of $0.25 per cookie. The company’s margi
amm1812

Answer:

Option D : $20

Step-by-step explanation:

The average total cost to produce 100 oatmeal cookie = $0.25 per cookie.

So, total cost for 100 cookies will be = 0.25\times100=25 dollars

The company’s marginal cost is constant at $0.10 for all oatmeal cookies produced.

When 50 cookies are produced, the marginal cost will be = 0.10\times50=5dollars

The total cost to produce 50 oatmeal cookies = 25-5=20 dollars

Hence, option D is correct.

8 0
2 years ago
Paul owns a gym and needs to replace the carpeting on the floor. The gym's floor plan is shown.
zubka84 [21]

Answer:

<em>24 square yards</em>

Step-by-step explanation:

Find the diagram attached.

The area of the diagram = Area of rectangle + Area of triangle

Area of rectangle = 3 * 4

Area of rectangle = 12 square yards

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 6 * 4

Area of triangle = 12 square yards

Area of the diagram = 12 + 12

Area of diagram =  24 square yards

<em>Hence 24 square yards of carpeting is needed</em>

7 0
2 years ago
A woman's weekly salary is increased from $350 to $380. The percent of increase is most nearly
Kay [80]

Find the amount of the difference and then divide it by the original amount:


380 - 350 = 30


30 / 350 = 0.0857 = 8.6% increase.  Round the answer as needed.



3 0
2 years ago
Other questions:
  • Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s
    9·1 answer
  • Jalen bought 24 juice packs for $7.20. Tia bought 6 juice packs for $2.70. Which statement describes the difference in the unit
    15·2 answers
  • Yan has already finished 3/5 of the 45 math problems he was assigned today. Each math problem took him 1 4/5 of a minute to comp
    12·2 answers
  • Thomas solved the equation by completing the square. x2−10x+27=0 <br> show work
    12·2 answers
  • Nina made two investments: Investment \text{A}A has a value of \$50$50 at the end of the first year and increases by 8\%8% per y
    13·3 answers
  • The submarine dove 150 feet from periscope height to an elevation of 200 feet below sea level. Which point is a representation o
    5·2 answers
  • The graph shows a swimming pool as it drains at a rate of 2,000 gallons per hour. How will the graph change if the pool drains a
    9·2 answers
  • Brad buys a pack of 12 bottles of energy drink for £9.25 he then sells all bottles for £1 each. Work out brads percentage profit
    8·1 answer
  • Four equivalent forms of a quadratic function are given. Which form displays the zeros of function h?
    7·2 answers
  • Mateo made the model below to represent the number of miles he swims in the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!