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
IceJOKER [234]
3 years ago
14

When a certain number is divided by 4, the answer is 160 with a remainder of 2. What is the number?

Mathematics
2 answers:
Musya8 [376]3 years ago
5 0

Answer:

The number is 642

Step-by-step explanation:

To solve the problem above, we will simply follow the steps below;

Let x bet the numb er divided by 4 that yield 160 remainder 2.

We will first write the question in a mathematical form and the solve.

"When a certain number is divided by 4, the answer is 160 with a remainder of 2"  can be written mathematically as;

\frac{x}{4}  =   160 remainder 2

Multiply both-side of the equation by 4

\frac{x}{4} ×4  =   160×4 remainder 2

At the left-hand side of the equation, 4 will cancel-out 4 leaving us with just x while at the right-hand side of the equation, 4 will be multiply by 160 only, the remainder will be added to the result of the multiplication. That is;

x = 640  +   2

x = 642.

Therefor the number is 642

<u>To check</u>

<u />\frac{642}{4}   =   160 remainder 2

<u />

Veseljchak [2.6K]3 years ago
4 0
X/4=160R2      X=642. I hope I helped you out.        160x4=640+2=642.
You might be interested in
((PLEASEEE HELPP MEE))
andrezito [222]

Answer:

D.

Step-by-step explanation:

In order to eliminate, the numbers must eliminate. If the second equation is multiplied by 3, then the 3 and the -3 can be eliminated. Since it is multiple choice, we can plug in x = 12 and y = 10 to see if they are correct. 12 + 30 = 42 and 24 - 10 = 14, so D is correct.

3 0
3 years ago
5!=5*4*3*2*1;6!=6*5*4*3*2*1 What is the value of 4^4/4!
german

Answer:

\frac{32}{3}

Step-by-step explanation:

If 5! is equal to 5 × 4 × 3 × 2 × 1 and 6! is equal to 6 × 5 × 4 × 3 × 2 × 1, then 4! is equal to 4 × 3 × 2 × 1. Thus, 4! = 4 × 3 × 2 × 1, which can simplify to 24. 4! = 24.

4^{4} is basically 4 × 4 × 4 × 4, which can simplify to 256.

So,  \frac{4^{4}}{4!} = \frac{256}{24}.  \frac{256}{24} can simplify to \frac{32}{3}. Therefore,  \frac{4^{4}}{4!} = \frac{32}{3}.

3 0
3 years ago
Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a
Zielflug [23.3K]

Answer:

The area of the associated sector is \frac{25}{24}\pi \ in^{2}  

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

C=2\pi r

we have

C=5\pi\ in

substitute and solve for r

5\pi=2\pi r

r=2.5\ in

step 2

Find the area of the circle

we know that

The area of the circle is equal to

A=\pi r^{2}

we have

r=2.5\ in

substitute

A=\pi (2.5^{2})=6.25\pi\ in^{2}

step 3

Find the area of the associated sector

we know that

2\pi\ radians subtends the complete circle of area 6.25\pi\ in^{2}

so

by proportion

Find the area of a sector with a central angle of \pi/3\ radians

\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}

8 0
3 years ago
4) What is the present value of $4000 received at the
Bingel [31]

Answer:

$11040

Step-by-step explanation:

first of all the question says that $4000 were earned in a year and asks for what the new vale would be after the next 3 years with a discount rate of 8%.

If 1 year=$4000,then 3 years=$12000

100%-8%=92% (this happens because there is still a remaining amount that still has a cost to it),so 12000*92%=$11040

8 0
3 years ago
Read 2 more answers
For k:<br><br>(j + k)/3 = 5​
Sphinxa [80]

Answer:

k=-j=15

Step-by-step explanation:

See attachment for step by step :)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the value of x in the following figure.
    13·1 answer
  • In a circle of radius 10 cm, a sector has an area of 40 sq. Cm. What is the degree measure of the arc of the sector? 72° 144° 18
    5·2 answers
  • Write y=(-5/8)x+3 in standard form using integers
    9·1 answer
  • Doreen lives 3/4 mile from the library Sheila lives 1/3 as far away from the library as Doreen. which one lives far from the lib
    5·1 answer
  • Is -1 bigger or smaller than -4/3
    5·2 answers
  • Please help!!!!!!!!!!!
    10·1 answer
  • A packet has 54 sheets of paper. Suraj uses 4/9of the sheets. How many sheets has he used?​
    12·2 answers
  • Someone please help me​
    10·1 answer
  • footpath is to be constructed in a park in the shape of a parallelogram. When a coordinate plane is laid over a map of the park,
    6·1 answer
  • A glass cylinder with a radius of 7cm has water up to a height of 9cm. A metal cube of 5.5cm edge is immersed in it completely.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!