What would the world problem " the quotient of a number decreased by 7 and negative 2 is negative 10 " be as an equation?
1 answer:
Answer:
Explanation:
A quotient of two numbers is a fraction with the first number being in the numerator (top) and the other number in the denominator (bottom). The statement calls for a "number" decreased by 7. That number is unknown but we have to give it a name, so, for example, "x." Therefore (x-7) is in the numerator. Negative 2, or -2 is "the other number" of the quotient and so it is in the denominator. Finally, the quotient is supposed to equal negative 10, or "=-10" which is the right-hand side, completing the equation.
For your interest, if you solve the equation, you will get x = 27, and you can check that the equation holds. "27 decreased by 7, divided by -2 equals -10."
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Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + <u>1</u>
3 = 2 + <u>1</u>
4 = 3 + <u>1</u>
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-
here,
- n is the number of terms
- a is the first number of the series
- an is the last number of the series
So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25
So, the value of S comes out to be 325.