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3 years ago

Which expression has a positive quotient

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

the first one

Step-by-step explanation:

a negative times or divided by another negative gives you a positive

a positive times or divide by a negative gives you a negative

a positive times or divide by a positive gives you a positive

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Si camilo tiene 6 años mas que juan, juan tiene 7 años menos que andrés y andrés tiene 35 años

lidiya [134]

Answer:

Part a) Camilo is 34 years old and Juan is 28 years old

Part b) The difference between Camilo's age and Juan's age is 6 years

Part c) The sum of the ages of Camilo and Juan not coincide with the age of Andres' grandmother

Step-by-step explanation:

The question in English is

If Camilo is 6 years older than Juan, Juan is 7 years younger than Andrés and Andrés is 35 years old .

Part a) How old is Camilo and how old is Juan? raises the equation.

Part b) What's the difference between Camilo's age and Juan's age?

Part c) If Andres's grandmother is 65 years old, does the sum of the ages of Camilo and Juan coincide with the age of Andres' grandmother?

Part a) How old is Camilo and how old is Juan? raises the equation.

Let

x -----> Camilo's age

y -----> Juan's age

z -----> Andres's age

we know that

$x=y+6$ -----> equation A

$y=z-7$ -----> equation B

$z=35$ -----> equation C

Find the value of y

substitute the value of z in the equation B

$y=35-7=28$

Find the value of x

substitute the value of y in the equation A

$x=28+6=34$

therefore

Camilo is 34 years old and Juan is 28 years old

Part b) What's the difference between Camilo's age and Juan's age?

Subtract Juan's age from Camilo's age

$x-y=34-28=6\ years$

Part c) If Andres's grandmother is 65 years old, does the sum of the ages of Camilo and Juan coincide with the age of Andres' grandmother?

Adds Camilo's age and Juan's age

$x+y=34+28=62\ years$

$62\ years\neq 65\ years$

therefore

The sum of the ages of Camilo and Juan not coincide with the age of Andres' grandmother

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3 years ago

The measure of one angle of a right triangle is 38∘ more than the measure of the smallest angle. Find the measures of all three

Semmy [17]

Answer:

Step-by-step explanation:

the smallest angle

6 0

4 years ago

A rectangular prism measures 2 2/5 inches by 3 1/5 inches by 2 inches.

schepotkina [342]

Step-by-step explanation:

91011121314671234567891p

4 0

4 years ago

Read 2 more answers

The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied y

ioda

Answer:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

$s= \sqrt{856849.7}=925.662$

Step-by-step explanation:

For this case we can create the following table

Interval Frequency (f) Midpoint(xi) xi *f xi^2* f

0-499 9 249.5 2245.5 560252.3

500-999 13 749.5 9743.5 7302753

1000-1499 33 1249.5 41233.5 51521258.25

1500-1999 115 1749.5 201193.5 361986278.8

2000-2499 125 2249.5 281187.5 632531281.3

2500-2999 81 2749.5 222709.5 612339770.3

3000-3499 47 3249.5 152726.5 496284761.8

3500-3999 45 3749.5 168727.5 632643761.3

4000-4499 22 4249.5 93489 397281505.5

4500-4999 10 4749.5 47495 225577502.5

Total 500 1220750 3408029125

$\sum f_i = 500 , \sum x_i f_i = 1220750, \sum x^2_i f_i = 3408029125$

For this case we can calculate the sample mean with this formula:

$\bar X = \frac{\sum x_i f_i}{n} = \frac{1220750}{500}=2441.5$

And for the sample variance we can use the following formula:

$s^2= \frac{\sum x^2_i f_i - \frac{(\sum x_i f_i)^2}{n}}{n-1}$

And if we replace we got:

$s^2= \frac{3408029125 -\frac{(1220750)^2}{500}}{500-1} =856849.7$

And the deviation is just the square root of the sample variance and for this case is:

$s= \sqrt{856849.7}=925.662$

4 0

3 years ago

Ayua, estoy en prueba a

romanna [79]

Es A. OuO okay Lol hope it works out

3 0

3 years ago