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inysia [295]
3 years ago
15

What two consecutive numbers have a sum of 53? Thanks! :P

Mathematics
2 answers:
zaharov [31]3 years ago
6 0
The numbers 26 and 27 are consecutive and have a sum of 53
Musya8 [376]3 years ago
4 0
Let's the name the first number x and the consecutive number x + 1. The sum of both of these numbers equals to 53.

We now have our equation:

x + x + 1 = 53

Now solve for x.

x + x + 1 = 53
2x + 1 = 53 <-- Combine like terms
2x = 52 <-- Subtract 1 from each side
x = 26

So, the first number is 26 and the second number is 27.
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The sum of the measures of a pair of alternate angles of two parallel lines is 210°. What are the measures of these two angles?
aniked [119]
The answer is 105 and 105 because they did not tell you that one had more than the other, so it's equal. Plus, it could not be 210 or over or 0 or less. It was spilt up equally between both alternate angles, and the lines are parallel, so the angles are equal. So just do 210/2 and get what one of the angles would be. Great question!
3 0
3 years ago
Annabelle traded $2250 for euros, immediately changed her mind, and then promptly traded her euros back into dollars. Which of t
Virty [35]
More than $0 but less that $2250
4 0
2 years ago
Read 2 more answers
Oliver has 3 times as many rocks in his collection as Katie. Then Oliver collected 75 more rocks and Katie collected 105 more ro
Evgesh-ka [11]

Answer:

The answer to your question is Katie had 15 rocks and Oliver 45 rocks.

Step-by-step explanation:

Conditions

Katie has x amount of rocks

Oliver has 3x amount of rocks

The final amount of rocks

                                    Oliver = 3x + 75

                                     Katie = x + 105

Now, they have the same amount of rocks, then we can equal both equations

                                   3x + 75 = x + 105

Solve for x

                                     3x - x = 105 - 75

                                           2x = 30

                                             x = 30/2

                                             x = 15

Conclusions

At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks

5 0
3 years ago
Read 2 more answers
Suppose that six individuals are interested in taking part in a study relating BMI to a number of health outcomes. The following
posledela

Answer:

a) Mean = 27.65

Median = 27.645

b) Relative Frequency = 33.33%

Step-by-step explanation:

We are given the following data set:

25.78, 21.06, 36.54, 29.51, 18.96, 34.05

a) Mean and Median

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{165.9}{6} = 27.65

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data: 18.96, 21.06, 25.78, 29.51, 34.05, 36.54

\text{Median} = \displaystyle\frac{25.78 +29.51}{2} = 27.645

b) BMI above 30 is considered obese

Frequency of obese in the given sample = 2

Relative Frequency =

\displaystyle\frac{\text{Frequency of obese}}{\text{Total number}} = \frac{2}{6} = 0.3333 = 33.33\%

5 0
2 years ago
Subtract the following complex numbers: (10-8i)-(13-10i) ??
patriot [66]

⇒ (10 - 8i) - (13 - 10i)

⇒ 10 - 8i - 13 + 10i

⇒ -3 + 2i

Option A is the Answer

3 0
3 years ago
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