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goblinko [34]
3 years ago
10

7/8 (< > =)5/9

Mathematics
1 answer:
Kruka [31]3 years ago
6 0
7/8 > 5/9 is true so there are infinitely many solutions

13/21 < 10/13 is true so there are infinitely many solutions

9/10 > 8/15 is true so there are infinitely many solutions

For the last one I'm a explain:

1. simplify 16/20 to 4/5

2. simplify 10/25 to 2/5

Since 4/5 > 2/5 is true, there are infinitely many solutions so basically in terms: 16/20 > 10/25 is true so infinitely many solutions.
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X + 3x + x<br> Simplify
lana [24]
Answer:
5x

Answer Explained:
All the x’s add up together to make 5x
3 0
4 years ago
Read 2 more answers
The area rug in your living room is 5 feet longer than it is wide. If the rug is
Romashka-Z-Leto [24]

Answer:

length = 17 ft and width = 12 ft

Step-by-step explanation:

The rug is rectangular .

Let

width = a

length = a + 5

Area of the rug = a × (a + 5) = a² + 5a

The rug is always placed 2 ft from the wall. The illustration describes a rectangle place into another. The space between the rug and the wall is 100 ft².  

The living room

length = a + 5 + 2 + 2= a + 9

width  = a + 2 + 2 = a + 4

area = (a + 9)(a + 4) = a² + 4a + 9a + 36 = a² + 13a + 36

a² + 13a + 36 - (a² + 5a) = 100

a² + 13a + 36 - a² - 5a = 100

8a + 36 = 100

8a = 100 - 36

8a = 64

a = 64/8

a = 8

Dimension of the living room

length = a + 9

length = 8 + 9 = 17 ft

width  = a + 4

width = 8 + 4 = 12 ft

length = 17 ft and width = 12 ft

4 0
3 years ago
If, for a random sample of 16 days, the sample mean ends up being exactly one standard deviation of x above the population mean,
Rudik [331]

Answer:

The answer to the question is

μx + (σx/4)

Step-by-step explanation:

The sample mean that is one standard deviations above the population mean  is given by

value = μx + (Number of standard deviations)

(σx/√n)

value = μx + 1 (σx/√16)=

=  μx + (σx/4) =

Where

μx = Population mean

σx = Population standard deviation

n = Sample size

The standard error of the mean is

σ/√n =σ/√16 = σ/4

The standard of error is an indication of the expected error in the mean of a sample from the mean of the population.

The above statements is based on the central limit theorem, which states that, in particular instances the normalized sum of independent random variables becomes closer and closer to those of  normal distribution regardless of the variation in the sample of the variables

8 0
3 years ago
It's been estimated that if you consume an extra 3,500 calories, you will gain 1 pound of fat. one can of soda contains 40 grams
timama [110]
We know that
1 can of soda---------------> <span>40 grams of sugar
if 1 gram sugar------------------------------------>has 4 calories
40 grams (1 can of soda)-----------------------> X
X=40*4=160 calories
then 
1 can of soda--------------> has 160 calories
</span><span>six-pack of soda every day--------------> 6*160=960 calories every day

in one year------------> 960*365=350400 calories in one year

if 3500 calories----------------> </span><span>1 pound of fat
</span>350400 calories----------------X
X=350400/3500=100.11 pound
In one year she or he will gains 100.11 pound of fat

the answer is 100.11 pound
8 0
3 years ago
Find an equation of the vertical line through (3 comma negative 1 )in the form axplusbyequals​c, where​ a, b, and c are integers
Sati [7]

The equation of the vertical line is 1x+0y=3

Explanation:

It is given that the vertical line passes through the points (3,-1)

For vertical line, the slope is undefined.

Hence, b=0

Let us substitute the coordinate (3,-1) in the equation ax+by=c, we have,

3a+0y=c

Simplifying, we have,

3a=c

3=\frac{c}{a}

where a=1 and c=3

Substituting the values of a, b and c in the equation ax+by=c, we have,

1x+0y=3

Thus, the equation of the vertical line is 1x+0y=3

8 0
3 years ago
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