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Blizzard [7]
3 years ago
10

The sum of two numbers is equal to 63 and their differences are 12. Find the numbers.

Mathematics
1 answer:
icang [17]3 years ago
5 0

Answer:

13.5

Step-by-step explanation:

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Solve the system of linear equations by elimination.<br> -3.x – 5y = -7<br> -4x + 5y = 14
julia-pushkina [17]

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

8 0
3 years ago
Read 2 more answers
Factor 2x 2 - 10x + 8 completely.
murzikaleks [220]

Answer:

2(x-1)(x-4)

Step-by-step explanation:

Begin by dividing each term by 2 and pulling the 2 to the front.

2x^2-10x+8 = 2(x^2-5x+4)

This is a trinomial. Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial ax^2+bx+c multiply a*c then find two numbers which multiply to this number and add to b. When you find those numbers, write them as (x-/+ number)(x-/+number).

x^2-5x+4

a=1, c=4

ac=4 and add to b=-5 which -1 and -4 satisfy

The factored form is 2(x-1)(x-4).


6 0
3 years ago
Convert mixed number 5/6 x 2 1/2
Rus_ich [418]

Answer:

2 and 1/12

Step-by-step explanation:

you need to take 2 1/2 and convert it to the common denominator of 6

so 1/2 * 3 = 3/6. and 2*6 = 12. add the 12 and 3 to get 15/6. which is equivalent to 2 1/2

so multiply 15/6 * 5/6 and get 75/36 to get or 2 and 3/36. reduce down to 2 and 1/12

4 0
3 years ago
Read 2 more answers
In the parking lot of 240 red and blue cars the ratio of red cars to blue cars is 3 to 5 how many red cars are in the parking lo
kolezko [41]
There are 144 red cars in the parking lot
4 0
3 years ago
Read 2 more answers
What is the answer 1/3 of 12 = 1/4
stealth61 [152]

Step-by-step explanation:

1/3*12=1/4

1/4=1/4

=1/4÷1/4

=0 answer

8 0
3 years ago
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