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4 years ago

8

Garret hiked 14 miles in 4 hours. Elena hiked 21 miles in 6 hours. Do these rates demonstrate a proportional relationship? Why o

r why not?

1 answer:

Amanda [17]4 years ago

8 0

They are proportional
14 divided by 4 equals 3.5
21 divided by 6 equals 3.5

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The amount of water dispensed by a water dispenser is normally distributed,

Contact [7]

Answer:

The correct answer is - C. 11.45 ounces to 11.75 ounces.

Step-by-step explanation:

According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.

That is:

μ±δ

From the given information, the mean is

μ = 11.60

and the standard deviation is

δ = 0.15

We substitute the given parameters to obtain;

11.60±0.15

11.75 and 11.45

This means the lower limit is

11.45

and the upper limit is

11.75

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3 years ago

The line plots show the results of a survey of 12 boys and 12 girls about how many hours they spent reading for pleasure the pre

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Answer:

The range for boys is 0-12 and the mean is 5.1

The range for girls is 2-8 and the mean is 5.3

Step-by-step explanation:

7 0

3 years ago

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What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)

PIT_PIT [208]

9514 1404 393

Answer:

common denominator: (x² -4)
simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

a² -b² = (a -b)(a +b)

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Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

$\dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}$

3 0

3 years ago

Write an algebraic expression that represents each purchase.

Svetradugi [14.3K]

Answer: Both answers will be

$15x+18$

Step-by-step explanation:

Since we have given that

Cost of soccer balls = $15

Cost of baseball = $6

Cost of sweat socks = $5

a) Mr. Tonkery bought x number of soccer balls and 3 base balls .

So, our algebraic expression will be

$15x+3\times 6\\\\=15x+18$

b) Dennis, Eddie and Felix are on a base ball team. They each bought a baseball and x pair of sweat socks .

Since there are 3 members in a base ball team ,

Number of base ball they will purchase is given by

$3\times 6=18$

Number of sweat socks they will bought is given by

$5\times x\times 3=15x$

Total number they will purchase is given by

$15x+18$

Hence, both answers will be

$15x+18$

6 0

3 years ago

Find x and y in the system of equations:

NemiM [27]

Answer:

Y= -8

X= 3

Step-by-step explanation:

apply -(-a)=a rule

-23+4*8/3

-23+4*8=9

9/3

=3

2y-(3)=-19

y= -8

7 0

3 years ago

Read 2 more answers