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2 years ago

The sum of two numbers is 37 and the difference is 13 . What are the numbers?

Mathematics

1 answer:

Nastasia [14]2 years ago

5 0

Answer:

25, 12

Step-by-step explanation:

let x represent one number and y represent the other number

x+y=37 (sum is addition)

x-y=13 (difference is subtraction)

Im solving using the substitution method

x-y=13 add y to both sides to get x by itself

x=13+y

13+y+y=37 substitute x for the solution above in the other equation and simplify

2y=24

y=12

plug in y into one of the equations

x+12=37 subtract 12 from both sides

x=25

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Find the value of x. x√5=x^4

Kaylis [27]

Answer:

x=0, $\sqrt[6]{5}$

Decimal form,

x=0,1.30766048......

Step-by-step explanation:

x $\sqrt{5}$ = $x^{4}$

x $\sqrt{5}$ - $x^{4}$ =0

(take x as a common factor)

x( $\sqrt{5}$ - $x^{3}$ )=0

So,

x=0 and $\sqrt{5}$ - $x^{3}$ =0

for $\sqrt{5$ - $x^{3}$ =0

(add $x^{3}$ for both sides)

$\sqrt{5}$ = $x^{3}$

x= $\sqrt[3]{\sqrt[2]{5} }$ (multiply 3 by 2)

x= $\sqrt[6]{5}$

So,

x=0, $\sqrt[6]{5}$

5 0

2 years ago

The sum of three consecutive odd integers is 17 less than four times the smallest integer. Find the integers.

lisabon 2012 [21]

Answer:

23, 25, 27

Step-by-step explanation:

n + (n+2) + (n+4) = 4n - 17

3n + 6 = 4n - 17

3n - 4n = -17 - 6

-n = -23

n = 23

therefore,

23, 25, 27 are the 3 consecutive odd integers

6 0

2 years ago

Can someone help me figure out the answer to: 3 5/8 + 4 2/3? (please explain working?)

ivanzaharov [21]

You would first make the fractions improper (making the numerator bigger then the denominator) in order to do that times the denominator with the whole number and add the numerator.
Ex) 3*8 = 24 + 5 = 29/8
Then you would add both of the improper fractions

3 0

2 years ago

Find the equation of the line passing through the points (2, 1) and (5, 10). y = [? ]x + [ ]

sladkih [1.3K]

Answer:

$y=3x-5$