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3 years ago

Pam jogged 15 and 3/4 miles in 3 hours. At this rate how long would it take Pam to jog 28 and 7/8 miles?

1 answer:

3 0

First, let’s find the distance Pam jogs in one hour.
15.75/3 = 5.25 mph.
Now, simply divide 28.875 (28 and decimal of 7/8) by our new rate.
28.875/5.25 = 5.5 hours. Choice B

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A photo of a beetle in a science book is increased to 535% as large as the actual size. If the beetle is 14 millimeters, what

AnnZ [28]

Answer: 74.9 millimeters

Step-by-step explanation:

From the question, a photo of a beetle in a science book was.increased to 535% as large as its actual size and the beetle.has a actual size of 14 millimeters,

The size of the beetle on the photo will be 535% of 14 millimeters. This will be:

= 535% of 14

= 535/100 × 14

= 5.35 × 14

= 74.9 millimeters

4 0

3 years ago

A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to

tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

From the problem statement, we can formulate the following equations:

1. y + z = 30 ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120 ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90 ---> each animal has 2 eyes only

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

3 0

3 years ago

What is the value of x, when -9(x-5)=x+22 1/2

Kipish [7]

Answer:

x = 2.25

Step-by-step explanation:

-9(x - 5) = x + 22 1/2

Distribute the nine and then add 9x to both sides

-9x + 45 = x +22 1/2

+ 9x + 9x

Then try to get x alone

45 = 10x + 22 1/2

-22 1/2 -22 1/2

22.5 = 10x

$\frac{22.5}{10} = \frac{10x}{10}$

2.25 = x

4 0

3 years ago

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Which algebraic expression is equivalent to the expression below? 9(2x - 6) A. 9x - 3 B. 18x - 54 C. 9x - 8

sergejj [24]

Answer:

Step-by-step explanation

multiply 2 and 6 by 9

4 0

3 years ago

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What is the asymptote for the graph of this logarithmic function?<br><br> f(x) = log3(x – 1)

Pepsi [2]

Answer:

Vertical Asymptote:

$x=1$

Horizontal asymptote:

it does not exist

Step-by-step explanation:

we are given

$f(x)=log_3(x-1)$

Vertical asymptote:

we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf

we know that any log becomes -inf when value inside log is zero

so, we can set value inside log to zero

and then we can solve for x

$x-1=0$

we get

$x=1$

Horizontal asymptote:

we know that

horizontal asymptote is a value of y when x is +inf or -inf

For finding horizontal asymptote , we find lim x-->inf or -inf

$\lim_{x \to \infty} f(x)= \lim_{x \to \infty}log_3(x-1)$

$\lim_{x \to \infty} f(x)=log_3(\infty-1)$

$\lim_{x \to \infty} f(x)=undefined$

so, it does not exist

7 0

3 years ago

Read 2 more answers