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
Colt1911 [192]
1 year ago
6

Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 5/24 cubic un

it and the base area is 1/5 square unit, what is the height of the chest? 124 unit 1124 units 112 unit 1112 units
Mathematics
1 answer:
Masteriza [31]1 year ago
5 0
Height is 1 1/24 unit.

Given:
volume = 5/24 unit³
base area = 1/5 unit²

Rectangular prism:
volume = length * width * height
base area = length * width

Volume = base area * height

height = volume / base area
h = 5/24 ÷ 1/5
h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = <span>1 1/24 unit</span>
You might be interested in
A property's land-to-improvements value ratio is 20% - 80%. The property was purchased 10 years ago, and depreciation has averag
3241004551 [841]

property can increase or decrease in value in expectation of something in the....

4 0
2 years ago
A university warehouse has received a shipment of 25 printers, of which 10 are laser printers and 15 are inkjet models. If 6 of
Tanya [424]

Answer:

The probability is 0.31

Step-by-step explanation:

To find the probability, we will consider the following approach. Given a particular outcome, and considering that each outcome is equally likely, we can calculate the probability by simply counting the number of ways we get the desired outcome and divide it by the total number of outcomes.

In this case, the event of interest is  choosing 3 laser printers and 3 inkjets. At first, we have a total of 25 printers and we will be choosing 6 printers at random. The total number of ways in which we can choose 6 elements out of 25 is \binom{25}{6}, where \binom{n}{k} = \frac{n!}{(n-k)!k!}. We have that \binom{25}{6} = 177100

Now, we will calculate the number of ways to which we obtain the desired event. We will be choosing 3 laser printers and 3 inkjets. So the total number of ways this can happen is the multiplication of the number of ways we can choose 3 printers out of 10 (for the laser printers) times the number of ways of choosing 3 printers out of 15 (for the inkjets). So, in this case, the event can be obtained in \binom{10}{3}\cdot \binom{15}{3} = 54600

So the probability of having 3 laser printers and 3 inkjets is given by

\frac{54600}{177100} = \frac{78}{253} = 0.31

4 0
2 years ago
Which expressions are equivalent to 4^{-2} \cdot 7^{-2}4 −2 ⋅7 −2 4, start superscript, minus, 2, end superscript, dot, 7, start
PolarNik [594]

Answer:

Step-by-step explanation:

Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.

Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:

4^{-2}•7^{-2} = 1/4^2 • 1/7^2

= 1/(4×4) • 1/(7×7)

= 1/16 • 1/49

= 1/(16×49)

= 1/784

4 0
1 year ago
Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches
nevsk [136]

Answer: There are 6 sections of  8\frac{1}{4}\ inches  of rope Mario can cut from the rope .

Step-by-step explanation:

Since we have given that

Length of the rope for the tent = 7 feet

As we know that

1\ feet=12\ inches\\\\7\ feet=12\times 7=84\ inches

Length of rope is used to tie a tarp on top of the tent = 34.5 inches

Remaining length of rope is given by

84-34.5=49.5\ inches

According to question, the remaining rope should be cut into

8\frac{1}{4}\ inches\\\\=\frac{33}{4}\ inches

So, Number of  8\frac{1}{4}\ inches sections of rope Mario can cut from the rope is given by

\frac{49.5}{8\frac{1}{4}}\\\\=\frac{49.5}{\frac{33}{4}}\\\\=\frac{49.5\times 4}{33}\\\\=6

Hence, there are 6 sections of 8\frac{1}{4}\ inches rope Mario can cut from the rope .

5 0
1 year ago
Read 2 more answers
Roger and rita each drive at a constant speed between phoenix and san diego. Each driver’s distance for the same section of the
never [62]

Answer:

a)Rita had a 28-mile head start

Step-by-step explanation:

The multiple options have been added in the additional information below the problem statement.

<u>Missing Information:</u>

Since the distance of each driver is not displayed. Let us assume their distances.

Say,

Roger travelled distance = 60 miles

Rita travelled distance = 32 miles

Now as it is given in the problem statement that Roger and Rita both drove at a constant speed between Phoenix and San Diego and they drove "Same Section of the trip" .

Which Means that the distance travelled of both is between Phoenix and San Diego, just their starting points are different but their end point is the same which is San Diego.

<em><u>As we can see RIta had to cover less miles which means she got the head start, now to calculate how much of a head start she got, we need:</u></em>

Head Start Rita got = Distance Roger travelled - Distance Rita Travelled

Head Start Rita got = 60 - 32 = 28 miles

So,

Rita got a Head start of 28 miles which is option (a)

5 0
2 years ago
Read 2 more answers
Other questions:
  • Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of t
    11·2 answers
  • A line contains the points (-4,1) and (4,6). Decide weather or not each of these points are also on the line(there could be more
    5·2 answers
  • a straight water slide is 175 feet above ground and is 200 feet long. What is the angle of depression to the bottom of the slide
    13·1 answer
  • Marginal cost At a certain factory the marginal cost is 3(q-4)^2 dollars per unit when the level of production is q units.
    8·1 answer
  • James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit $500 into the acc
    10·1 answer
  • If a plant grows 1/4 cm every day for 21 days, what is the total<br> amount of growth?
    7·2 answers
  • A 4-column table with 3 rows. Column 1 has entries run, do not run, total. Column 2 is labeled lift weights with entries 40, bla
    12·2 answers
  • Boden is making a prize wheel for the school fair. The ratio of winning spaces to losing spaces is shown in the diagram. The tab
    10·2 answers
  • A rectangular prism is 3 units high, 2 units wide, and 5 units long. What is its surface area
    6·1 answer
  • Company B loses $1575 for every employee who quits before 90 days. What is the total amount the company will lose if 2 employees
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!