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
DanielleElmas [232]
3 years ago
12

Please answer this correctly without making mistakes I want experts and ace people to answer this correctly without making mista

kes
Divide. Write your answer using the smallest numbers possible.

9,185 miles 380 yards divided by 4,590
Mathematics
1 answer:
yarga [219]3 years ago
8 0

9514 1404 393

Answer:

  2 miles 2 yards

Step-by-step explanation:

There are 1760 yards in a mile, so you are effectively performing the division ...

  (9185 380/1760) ÷ 4590

where the number in parentheses is a mixed number of miles.

You do this division the same way you do any mixed-number division. There are different possible methods you can use. One of them is to convert the mixed number to an improper fraction, then divide.

  9185 380/1760 = 9185 19/88 = (88·9185 +19)/88 = 808299/88

Then this is divided in the usual way:

  \dfrac{808299}{88}\div4590=\dfrac{808299}{88\cdot4590}=\dfrac{808299}{403920}=2\dfrac{459}{403920}=2\dfrac{1}{880}

Finding the quotient and remainder is straightforward. Reducing the fraction involves finding common factors in the numerator and denominator. As it turns out, 459 is a factor of 403920, so the fraction reduces as shown.

Now, we need to convert 1/880 miles back to yards.

  ((1/880) mi) × (1760 yd/mi) = 2 yd

So, the quotient you seek is ...

  2 miles 2 yards

You might be interested in
Find the reference angle for 517°<br> a.23°<br> c.113°<br> b.157°<br> d.67°
MAXImum [283]
Should be 67 or 113 if not then it’s probably 157
6 0
3 years ago
Read 2 more answers
What is 52cm as a fraction of 90cm? (as a simplified fraction)
katrin2010 [14]

Answer:

\frac{26}{45} and \frac{3}{11}

Step-by-step explanation:

(a)

Expressing as a fraction

\frac{52}{90} ( divide numerator/ denominator by 2 )

= \frac{26}{45} ← in simplest form

(b)

Expressing as a fraction

\frac{30}{110} ( divide numerator/ denominator by 10 )

= \frac{3}{11} ← in simplest form

5 0
3 years ago
select the correct answer Linden is investigation where they're putting plastic on her window will help seal out called the wint
Vinvika [58]

Answer:

B.

Step-by-step explanation:

.

5 0
3 years ago
What is the remainder when x^2+4 is divided by x—2?
aliya0001 [1]

Answer:

8

Step-by-step explanation:

x-2=0

x=2

put x=2

remainder=2²+4=4+4=8

7 0
3 years ago
Two solutions to y'' – 2y' – 35y = 0 are yı = e, Y2 = e -5t a) Find the Wronskian. W = 0 Preview b) Find the solution satisfying
pashok25 [27]

Answer:

a.w(t)=-12e^{2t}

b.y(t)=-\frac{9}{2}e^{7t}-\frac{5}{2}e^{-5t}

Step-by-step explanation:

We have a differential equation

y''-2 y'-35 y=0

Auxillary equation

(D^2-2D-35)=0

By factorization method we are  finding the solution

D^2-7D+5D-35=0

(D-7)(D+5)=0

Substitute each factor equal to zero

D-7=0  and D+5=0

D=7  and D=-5

Therefore ,

General solution is

y(x)=C_1e^{7t}+C_2e^{-5t}

Let y_1=e^{7t} \;and \;y_2=e^{-5t}

We have to find Wronskian

w(t)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}

Substitute values then we get

w(t)=\begin{vmatrix}e^{7t}&e^{-5t}\\7e^{7t}&-5e^{-5t}\end{vmatrix}

w(t)=-5e^{7t}\cdot e^{-5t}-7e^{7t}\cdot e^{-5t}=-5e^{7t-5t}-7e^[7t-5t}

w(t)=-5e^{2t}-7e^{2t}=-12e^{2t}

a.w(t)=-12e^{2t}

We are given that y(0)=-7 and y'(0)=23

Substitute the value in general solution the we get

y(0)=C_1+C_2

C_1+C_2=-7....(equation I)

y'(t)=7C_1e^{7t}-5C_2e^{-5t}

y'(0)=7C_1-5C_2

7C_1-5C_2=23......(equation II)

Equation I is multiply by 5 then we subtract equation II from equation I

Using elimination method we eliminateC_1

Then we get C_2=-\frac{5}{2}

Substitute the value of C_2 in  I equation then we get

C_1-\frac{5}{2}=-7

C_1=-7+\frac{5}{2}=\frac{-14+5}{2}=-\frac{9}{2}

Hence, the general solution is

b.y(t)=-\frac{9}{2}e^{7t}-\frac{5}{2}e^{-5t}

7 0
3 years ago
Other questions:
  • Why is 21 over 30 bigger than 2 over 3?
    13·2 answers
  • Use the quadratic formula to solve x^2+20=2x what are values of x
    7·1 answer
  • Mark dropped an object from a bridge 400 feet above the ground level with an initial velocity of 0. He knows that the gravitatio
    13·1 answer
  • How do I solve -2 = 12/x?​
    12·2 answers
  • Please help asap!
    12·1 answer
  • Solve 5x(x-4) using distributive property
    11·2 answers
  • The freezer contains vanilla and chocolate ice cream. Chocolate ice cream contains 12 servings less than vanilla. How many servi
    13·1 answer
  • 6c + 4d - c - 7d = ?<br><br> What is the answer to this question?
    5·2 answers
  • 12a2 + 4b for a = 8 &amp; b = -6.<br> PLease help
    12·1 answer
  • What is the value of x in the figure below? In this diagram, ABD ~ CAD.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!