Two possible factors for the estimated product of 2800

Answers

Answer 1
Answer:

Answers

100 and 28.


Explanation

Factors are number that you can multiply to give a certain number.

For example, 2 × 3 = 6. In this  case 2 and 3 are factors of 6.

∴  To get the factors of 2800, we have to find  numbers that you can multiply to give you 2800.

2800 / 2 = 1400

∴ 2 × 1400 = 2800.   ⇒ 2 and 1400 are factors of 2800.

2800/100 = 28

∴ 100 × 28 = 2800  ⇒ 100 and 28 are also factors of 2800. 2800 have many factors but two of them are 100 and 28.

Answer 2
Answer: 28x100
280x10

That's the answer

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How to round 0.125 to the nearest whole

Answers

In the number 0.125, there is:
0 in the ones place,
1 in the tenths place,
2 in the hundredths place, and
5 in the thousandths place.

We want to round to the hundredths place, which is 2.
To do this we must look to the next digit.
If it's less than 5, we round down.
If it's more than 5, we round up.

The next digit is 5, though! So what do we do then?
Well, we would look to the next digit again and decide from that.
There isn't really a next digit to decide from, though, is there?

In that case, we just round up.

and we get  0.13

F(x) = 2x^2 + 24x + 3

How do I find the vertex of this function?

Answers

Answer:

(-6,-69)

Step-by-step explanation:

y=2x^2 + 24x + 3

=2(x^2+12x+36)-2*36+3

=x(x+6)^2-69

vertex: when x=-6. y=-69

Prove that the recurring decimal 0.39 = 13/33

Answers

x=0.\overline{39}\n100x=39.\overline{39}\n 100x-x=39.\overline{39}-0.\overline{39}\n 99x=39\n x=(39)/(99)=(13)/(33)

A newspaper carrier has $1.80 in change. He has two more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

Answers

1\ quarter=\$0.25\n1\ dime=\$0.10\n1\ nickel=\$0.05\n\nq\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ quarters\nd\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ dimes\nn\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ nickels\n\nq=2d\ \ \ and\ \ \ n=3q\ \ \ \Rightarrow\ \ \ n=3\cdot 2d=6d\n\nq\cdot0.25+d\cdot0.10+n\cdot 0.03=1.80\n\n2d\cdot0.25+d\cdot0.1+6d\cdot0.05=1.8\n\n

0.5d+0.1d+0.3d=1.8\n\n0.9d=1.8\ \ \ \Rightarrow\ \ \ d=2\ \ \ \Rightarrow\ \ \ q=2\cdot2=4\ \ \ and\ \ \ n=6\cdot2=12\n\nAns.\ 4\ quarters,\ 2\ dimes,\ 12\ nickels

1)what is the y-coordinate of the solution to the system of equations?

x-y=12
27+3y=2x

2)what is the y-coordinate of the solution to the system of equations?

y=2x+14

-4x-y=4

Answers

ok so basically solve for y

x-y=12
27+3y=2x

27+3y=2x
subtract 3y from both sides
27=2x-3y
2x-3y=27

x-y=12
multiply by -2
-2x+2y=-24

add them
2x-3y=27
-2x+2y=-24 +
0x-1y=3

-y=3
y=-3
y coordinate is -3


2.
y=2x+14
-4x-y=4

y=2x+14
subtract 2x from both sides
y-2x=14
mulitply both sides by -2
-2y+4x=-28

add the 2 equations

-2y+4x=-28
-y-4x=4 +
-3y+0x=-24

-3y=-24
divide both sides by -3
y=8

y coordinate is 8





1. y coordinate is y=-3

2. y coordinate is y=8

Answer:

1. -3

2. 8

Step-by-step explanation:


. Out of 140 students, 50 passed in English and 20 passed in both Nepali and English. The number of students who passed in Nepali is twice the number of students who passed in English. Using a Venn-diagram, find the number of students who passed in Nepali only and who didn't pass in both subjects. ​

Answers

Answer:

80 ;

10

Step-by-step explanation:

Given :

Total number of students = μ = 140

Let :

Number of students who passed in English = E

Number of students who passed in Nepali = N

n(NnE) = 20

n(E) only = n(E) - n(NnE) = 50 - 20 = 30

Students who passed English only = 30

Number of students who passed in Nepali is twice the number who passed in English

n(N) = 2 * n(E) = 2 * 50 = 100

Number of students who passed in Nepali only

n(N) only = n(N) - n(NnE) = 100 - 20 = 80

Students who passed Nepali only = 80

The number who didn't pass both subjects :

μ - (English only + Nepali only + English and Nepali)

140 - (30 + 80 + 20)

140 - 130

= 10