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3 years ago

7

Mr. kelly uses an expression to represent the perimeter of a square. Rewrite the expression to represent the length of a side of

the square. P=8x+20

1 answer:

nikklg [1K]3 years ago

3 0

Answer:

Step-by-step explanation:

P = 8x + 20

4*side = 8x + 20

side = (8x + 20)/4

= 8x/4 + 20/4

side = 2x + 5

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I need help for all three! Thank you!

mel-nik [20]

Answer:

3a. 0.415

b. 18.75

Step-by-step explanation:

3a. 2.49/6

=0.415

b. 150/8

=18.75

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3 years ago

Each statement describes a transformation of the graph of y= In x. Which statement correctly describes the graph of y= In(x - 7)

Keith_Richards [23]

I think the answer is a but I’m not sure

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3 years ago

You survey your class to find out the types of pets they have at home. Below are the results: Dog, Dog, Cat, Cat, Cat, Dog, Hams

Fynjy0 [20]

Answer:

a) Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

b) Relative frequencies of each animal type

Dog: 4/10 = 0.4
Cat: 3/10 = 0.3
Fish: 2/10 = 0.2
Hamster: 1/10 = 0.1

c) Popularity

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

Explanation:

<u>a. Make a frequency table for the results.</u>

There are four kind of pets: dog, cat, hamster, and fish.

A <em>frequency table </em>shows the number of items for each category (kind of pets).

Count the number of each kind of pet:

Dog: 4
Cat: 3
Hamster: 1
Fish: 2
Total: 10

With that you build your frequency table.

Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

<u>b. Relative frequencies of each animal type.</u>

The relative frequency is how often an outcome appears divided by the total number of outmcomes.

Here the total number of outcomes is 10 (the ten pets).

So, calculate each relative frequency:

Dog: 4/10 = 0.4
Cat: 3/10 = 0.3
Fish: 2/10 = 0.2
Hamster: 1/10 = 0.1

An important feature of the relative frequency is that they must add up 1. Check:

0.4 + 0.3 + 0.2 + 0.1 = 1.

<u>c. Using the relative frequencies explain which animals are most and least popular.</u>

Popularity is determined by the frequency with each outcome is repeated. The most popular is the most repeated. The least popular is the least repeated.

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

7 0

4 years ago

. Joanne does a daily walk from building P to building Q. Given point P(6,9) and point Q(5,-4), what is the distance between poi

kotykmax [81]

Answer:

The distance between points P and Q on this campus map of the local college is 13.038 units

Step-by-step explanation:

We are given that Joanne does a daily walk from building P to building Q

$P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)$

We are supposed to find the distance between points P and Q on this campus map of the local college

We will use distance formula :

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the values in the formula .

$d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038$

Hence the distance between points P and Q on this campus map of the local college is 13.038 units

5 0

4 years ago

Which of the following is equivalent to 3/4a-6=1/4

telo118 [61]

$\dfrac{3}{4}x-6=\dfrac{1}{4}\ \ \ \ |\cdot4\\\\3x-24=1\ \ \ |+24\\\\3x=25\ \ \ \ |:3\\\\x=\dfrac{25}{3}\\\\x=8\dfrac{1}{3}$

3 0

3 years ago