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NeTakaya
1 year ago
8

one number is 4 times a first number. a third number is 100 more thann the first number. if the sum of the three numbers is 562,

find the numbers
Mathematics
1 answer:
Anuta_ua [19.1K]1 year ago
3 0

The numbers are 77 , 177 and 308 .

Numbers are the building blocks in mathematics. It is an arithmetic value that is used to represent a quantity. Real numbers , integers , natural numbers, whole numbers , irrational numbers are are various types of numbers.

Let us consider the first number to be x . Then the second number is 4x+100 , and the third number is 100 more than the first number. Therefore the the sum of the three numbers will be:

x+4x+(x+100)=6x+100

Now the sum of all the numbers is 562.

Therefore we can write a linear equation in x to find the values of x.

∴ 6x+100=562

or, 6x = 562 - 100

or, 6x = 462

or, x = 462 ÷ 6

or, x = 77

Therefore the second number is 4x = 4 × 77 = 308 and the third number is x + 100 = 77 + 100 = 177 .

So the numbers are 77 , 177 and 308 .

To learn more about numbers visit:

brainly.com/question/17429689

#SPJ9

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Rewrite the expression as a product of two factors. 72t+8
Aneli [31]

Step-by-step explanation:

The above given expression "72t+8 " have to be factorized by the following methods.

<u>Step 1 : </u>

First we must check both numbers in order to obtain common factor for both ,for this equation "8" is the common factor for both .

<u>Step 2:</u>

After obtaining the common factor for the equation equation, we must now take the factor as common outside the bracket and form  the equation as follows,

 ⇒ 8 * ( 9*t + 1 )

     Here there are the two factors for the equation " 72 t+ 8 " that are <u>8 </u>and  <u>9t+1.</u>

<u>Step 3 (optional) : </u>

Now check weather the factors are correct or not by multiplying factors with each other.

Multiplying ,

 ⇒ 8 * ( 9*t + 1 )

Gives -

⇒  72 t+ 8

5 0
3 years ago
If 12000 people voted in the election,how many people were from 50 to 64 years old
inessss [21]
Assuming that this question is based on a graph, and that this graph tells us that people 50-64 years make up 35% of all the voters, then it would mean that
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So, assuming that people at age 50-64 make up 35% of the voters, then 4200 of them voted.
7 0
4 years ago
Chloe purchased some dried mango and dried kiwi to make some trail mix. The dried mango cost ​$2.11 per pound and the dried kiwi
andreev551 [17]

Answer:

Number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

Step-by-step explanation:

Total number of pounds of dried fruit purchased = 10

Let number of pounds of dried mango purchased = x

Let number of pounds of dried kiwi purchased be = y

Total weight of dried fruits purchased = x+y

So, we have a sum equation as:

x+y=10

Total cost of dried fruits = $40.34

Cost of a pound of dried mango = $2.11

Cost of x pounds of dried mango in dollars can be given as = 2.11x

Cost of a dried kiwi = $5.07

Cost of y pounds of dried kiwi in dollars can be given as = 5.07y

Total cost of dried fruits in dollars = 2.11x+5.07y

So, we have a cost equation as:

2.11x+5.07y=40.34

The system of equations is :

A) x+y=10

B) 2.11x+5.07y=40.34

Solving by substitution.

Rearranging equation A, to solve for y in terms of x

Subtracting both sides by x

x+y-x=10-x

y=10-x

Substituting value of y we got from A into equation B.

2.11x+5.07(10-x)=40.34

Using distribution.

2.11x+50.7-5.07x=40.34

Simplifying.

-2.96x+50.7=40.34

Subtracting both sides by 50.7.

-2.96x+50.7-50.7=40.34-50.7

-2.96x=-10.36

Dividing both sides by -2.96.

\frac{-2.96x}{-2.96}=\frac{-10.36}{-2.96}

∴ x=3.5

We can plugin x=3.5 in the rearranged equation A to get value of y

y=10-3.5

∴ y=6.5

So, number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

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