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
adoni [48]
3 years ago
6

Alex needs to varnish the top And the bottom of a dozen rectangular wooden planks planks are 8 feet long and 3 feet wide each pi

nt Of varnish covers about 125 Square feet and cost 3.50 what is the total area that Alex needs to varnish and how much will it costs Alex to varnish all the wooden planks
Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

It will cost approximately $16.12 to varnish all the wooden planks.                                            

Step-by-step explanation:

We are given the following in the question:

Number of rectangular planks = 12

Dimension of the rectangular wooden plank:

Length = 8 feet

Width = 3 feet

Area covered by I bottle of varnish = 125 Square feet

Cost of 1 bottle of varnish = 3.50 units

Area of 1 rectangular plot =

A = \text{Length}\times \text{Width}\\A = 8\times 3\\A = 24\text{ square feet}

Total area to be covered by varnish =

= \text{Area of 1 plank}\times 12\times \text{Top area and bottom area}\\=24\times 12\times 2\\=576

Number of varnish bottles required =

n = \dfrac{\text{Total area}}{\text{Total area covered by 1 varnish bottle}} = \dfrac{576}{125} = 4.608

Cost of varnishing =

=\text{Cost of 1bottle of varnish}\times \text{Number of varnish bottles}\\=4.608\times 3.50\\=\$16.12

Thus, it will cost approximately $16.12 to varnish all the wooden planks.

You might be interested in
7 divided by 1/2<br><img src="https://tex.z-dn.net/?f=7%20%5Cdiv%7C%201" id="TexFormula1" title="7 \div| 1" alt="7 \div| 1" alig
Elan Coil [88]
The answer should be 14
7 0
2 years ago
Read 2 more answers
Use the equation a = IaIâ
german

Answer:

a) \:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }

b)\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }

c) \:\:=7\cdot \frac{\:\:}{7}

Step-by-step explanation:

a) Let <u>a</u>=<2,1,-3>

The magnitude of <u>a</u> is |a|=\sqrt{2^2+1^2+(-3)^2}

|a|=\sqrt{4+1+9}=\sqrt{14}

The unit vector in the direction of a is

\hat{a}=\frac{\:\:}{\sqrt{14} }

Using the relation a=|a|\hat{a}, we have

\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }

b) Let a=2i - 3j + 4k

|a|=\sqrt{2^2+(-3)^2+4^2}

|a|=\sqrt{4+9+16}=\sqrt{29}

\hat{a}=\frac{\:\:}{\sqrt{29} }

Using the relation a=|a|\hat{a}, we have

\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }

c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:

<1+2, 2+4, -3+1>=<3, 6, -2>

Let a=<3, 6, -2>

The magnitude is

|a|=\sqrt{3^2+6^2+(-2)^2}

|a|=\sqrt{9+36+4}=\sqrt{49}=7

The unit vector in the direction of <u>a</u> is

\hat{a}=\frac{\:\:}{7}

Using the relation a=|a|\hat{a}, we have

\:\:=7\cdot \frac{\:\:}{7}

5 0
3 years ago
A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given
Alisiya [41]

Answer:idk tbh

Step-by-step explanation:

6 0
3 years ago
The​ life, in​ years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o
Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

\bf P(X

So, the probability that a switch fails in the first year is

\bf P(X

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and  

\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}

where  

\bf \binom{100}{k} equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999

3 0
3 years ago
Which graph represents - 3x + 5y &lt; 15?
Andrew [12]
P e e e e e e e e e e e e e n n n n n n i i i i s s s s s s s s s
8 0
3 years ago
Other questions:
  • How many ways can two republicans one democrat, and one independent, be chosen from nine republicans, five democrats, and two in
    8·1 answer
  • Find g(x), where g(x) is the translation 7 units up of f(x)=x.
    12·1 answer
  • Evaluate the expression (ab)2 for a = 4 and b = 3.<br><br> a.81<br> b.36<br> c.24<br> d.144
    15·1 answer
  • Helppppp me plzzz with this!!
    10·1 answer
  • Find the sum of the 30th term of the following terms <br> 9,17,25
    5·2 answers
  • What’s the linear equation representing the information below
    13·1 answer
  • Please help 20 points
    11·1 answer
  • What is the length of the hypotenuse of the triangle?<br> A<br> 7 cm<br> B<br> 3 cm
    8·1 answer
  • ROUND EACH VALUE TO THE NEAREST TENTH
    9·1 answer
  • Can someone help me plz Xd
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!