All categories

2 years ago

When the smaller of two consecutive integers is added to to two times the larger, the result is 29

1 answer:

3 0

Let the numbers be X and X+1. X+2(X+1)=29 X+2X+2=29 3X=29-2 X=27/3 X=9. Thus, the Numbers are therefore 9 and 9+1=10 i.e 9 & 10. Thus, when 9 is added to (2*10=20), the result is 29.

You might be interested in

In Diagram 6, JCK is a tangent to the circle ABC

Igoryamba

Answer:

Step-by-step explanation:

if you don't know it choose C

5 0

2 years ago

Find the total surface area for the hexagonal prism?

Mnenie [13.5K]

Answer:

572.5

Step-by-step explanation:

A=6ah + 3√(3) a²= 6·8·5+3√(3)·8²≈572.55376

a is base length and h is height

5 0

3 years ago

Lydia received her salary on Friday. She spent one-half of her salary on rent and then spent $168 on her electric and water bill

inysia [295]

Answer:

B. $466

How:

You would have to add up all KNOWN expense that Lydia made and then the money the she spent on rent would be an exact replica of that.

7 0

3 years ago

Melanie spent $40 in 4 hours while shopping at the mall. How much money has changed hands? A) $10 B) $40 C) -$10 D) -$40

S_A_V [24]

I actually think its b cause it can't be d (thats obvious) yh........but i might be wrong

4 0

2 years ago

Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

4 0

3 years ago

When the smaller of two consecutive integers is added to to two times the​ larger, the result is 29

When the smaller of two consecutive integers is added to to two times the larger, the result is 29