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
Vilka [71]
3 years ago
13

The scale factor on a scale drawing of machine part is 15 1 /8. If the part is 3 7/8 inches long as the drawing, how long is the

actual part?
A)3 28/31 inches
B)11 1/4 inches
C)19inches
D) 58 39/64 inches​
Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

Answer:

Option D) 58 39/64 inches​

Step-by-step explanation:

we know that

The scale drawing is

15\frac{1}{8}

convert to an improper fraction

15\frac{1}{8}=\frac{15*8+1}{8}=\frac{121}{8}

That means

121 in in the actual, represent 8 in on a scale drawing

To find how long is the actual part for 3 7/8 inches long as the drawing

Apply proportion

First convert to an improper fraction

3\frac{7}{8}=\frac{3*8+7}{8}=\frac{31}{8}

\frac{121}{8}\frac{actual}{drawing} =\frac{x}{(31/8)}\frac{actual}{drawing}\\ \\x=121(31/8)/8\\ \\x=\frac{3,751}{64}\ in  

convert to mixed number

\frac{3,751}{64}\ in=\frac{3,712}{64} +\frac{39}{64} =58\frac{39}{64}\ in

You might be interested in
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill
abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}

To find A and k

V(0) = A = 3 million

Hence V = 3e^{kt}

V(6) = 1.5

i.e. 1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552

V(t) = 3e^{-0.11552t}

a) Using the above value of k , we have

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year.

4 0
3 years ago
To which sets of numbers does −1/4 belong? Select each correct answer.
Pachacha [2.7K]
-1/4 will be ration because all fractions are rational 

8 0
2 years ago
Bottles of sparkling water usually cost $1.69. The grocer changed the price to 4 for $5. You bought one bottle last week for $1.
sleet_krkn [62]

Given :

Cost of single bottle, C = $1.69 .

Cost of 4 bottles, B = $5 .

You bought one bottle last week for $1.69 and one bottle this week at the 4 for $5 price.

To Find :

Did you pay more or less for the bottle this week at 4 for $5? How much more or less?

Solution :

Effective price per bottle if we purchase 4 is, E = 5/4 = $1.25 .

Regular price, R = $1.69 .

Change in price, C = $( 1.69 - 1.25 ) = $0.44 .

Therefore, we are paying $0.44 less than the actual price.

Hence, this is the required solution.

8 0
3 years ago
Read 2 more answers
3. Leanne has a container divided into
Maurinko [17]

Answer:

22 containers but I didn't use a calculator!

3 0
3 years ago
50 points decreased by 26%
labwork [276]
26% of 50
26/100 * 50
13

50 - 13 = 37


7 0
3 years ago
Read 2 more answers
Other questions:
  • If six is placed at the end of a two digit number the result is 294 greater than the number, what was the number?
    15·1 answer
  • Match each sequence to its appropriate recursively defined function
    12·1 answer
  • Two parallel lines are crossed by a transversal. If m6 = 123.5°, then m1 is 56.5°. 67.5°. 123.5°. 136.5°.
    15·2 answers
  • I need help to solve this
    7·1 answer
  • The midpoint of AB is M(-6, -6). If the coordinates of A are (-4, -8), what are
    14·1 answer
  • What is 4/3 plus 3/4
    14·2 answers
  • If the sphere shown above has a radius of 10 units, then what is the approximate volume of the sphere?
    9·2 answers
  • Which term best describes the graph of y = x - 1
    11·1 answer
  • Factor completely, then place the factors in the proper location on the grid. y2 - xy - 56x2​
    14·1 answer
  • Rena`s rowboat drifts 23 feet away from the shore, followed by another 9 more feet. What equation represents Rena`s rowboat posi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!