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denis23 [38]
2 years ago
11

La suma de dos números es igual a 16 y su diferencia es –4. ¿cuál es el número menor? *

Mathematics
1 answer:
blagie [28]2 years ago
8 0

Explicación paso a paso:

a+b=16 +

a-b=-4

----------

2a=12

a=6

b=10

el menor vale 6

<h2>y porfavor branliest! :)</h2>
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During an evening out, Dean paid a cab driver $20. He then spent $25 on dinner and half of his remaining money on a painting. He
rodikova [14]
20+25 divided by 2 +23.75 - 42.15 = 4.100...
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3 years ago
Hullan's age is three times Thomas's age. The sum of their ages is 92. What is Thomas's age?
Ksju [112]

Answer: 23

Step-by-step explanation: You can start by setting this up as an equation like so,

X + 3(X) =92 where x is Thomas’ age and the 3x indicates Hullans age being 3 times greater than Thomas.

Combine the x’s

4(x) = 92

Divide by 4 X = 92/4

92/4 = 23, x = 23

7 0
3 years ago
The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i
kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.


Recall the formula for the sum of consecutive positive integers,

\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2

Now,

1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224

numbers, and their sum is

\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of 1+9\times2=19.

So, the sum of the first 1234 terms in the sequence is 2419.

8 0
1 year ago
Michaels account overdrafts $75.00. write an absolute value to represent the overdraft
Klio2033 [76]

Overdrafting is when you deposit you're money in a bank account so it could either be +75 or -75 both of them might be correct.

8 0
3 years ago
Let v =LeftAngleBracket 8, negative 1 RightAngleBracket. What is the approximate direction angle of v?
kirill [66]

Answer:

353

Step-by-step explanation:

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