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Salsk061 [2.6K]

2 years ago

9

The sum of 14 and a number is equal to 17

1 answer:

EastWind [94]2 years ago

6 0

Its a simple equatioon,
First write the information that is given to you (as an equation) 14+x=17
Since you have a variable that is "x" you need to take it out of the equation as x=17-14 and put the 17 (that is the result) and then since you're adding 14, at the other side you'll substract it, finally do the opperation and you get your result that is x=3

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Find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4

Ierofanga [76]

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

a = 1
b = 2
Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

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3 years ago

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HELPPPPPPPPPPPPPPPPPP

Finger [1]

Answer:

Given expression : $\frac{9}{4}-2(4x+\frac{4}{3} )+\frac{5}{2}x$ ......[1]

Using distributive property: $a\cdot (b+c) =a\cdot b + a\cdot c$

[1]⇒ $\frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x$

Simplify:

$\frac{9}{4} - 8x - \frac{8}{3}+\frac{5}{2}x$

Like terms are those terms which are same variables.

Combine like terms: we get;

$(\frac{9}{4} - \frac{8}{3}) - 8x + \frac{5}{2}x$ ......[2]

$\frac{27-32}{12} -8x +\frac{5}{2} x$

Simplify:

$\frac{-5}{12} -8x +\frac{5}{2}x$

or

$\frac{-5}{12} - \frac{11}{2}x$

we can write equation [2] as;

$\frac{27}{12} - \frac{8}{3} - 8x + \frac{5}{2}x$

Combine like terms of x variables;

$\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x$

Therefore, the expressions which are equivalent to the Given expression are:

$\frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x$

$\frac{-5}{12} -8x +\frac{5}{2}x$

$\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x$

$\frac{-11}{2}x - \frac{5}{2}$

3 0

3 years ago

Andrew makes $10 per hour babysitting and $8 per hour working at the grocery store. He will need to make atleast $650 to buy a n

Ivahew [28]

Answer:

True

Step-by-step explanation:

Since babysitting and working at the grocery store are two different things, you would need two different variables.

So x and y would be the correct representation.

Hope this helps ya!!

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2 years ago