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3 years ago

PLEASE HELP WITH #9

Mathematics

1 answer:

Helga [31]3 years ago

5 0

70 thousand is written in word form because it would be written as the whole number in standard form.

Word Form: 70 thousand

Standard Form: 70,000

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All fractions equivalent to 27/81

Strike441 [17]

There is more than a trillion of equivalent fractions to 27/81, you just need to divide of multiply that number to any other numbers, but not 1 and 0, it can be negative number also
Ex: 1/3, 3/9, 54/12, 81/243, etc...

3 0

4 years ago

A total of 300 trees will be planted in a park, for every two pine trees there will be 3 maple trees what is the number of pine

masha68 [24]

<h2>There are 120 pine trees and 180 maple trees.</h2>

Step-by-step explanation:

Total number of trees = 300

Given that for every two pine trees there will be 3 maple trees.

Let 2t be the total number of pine trees.

Then total number of maple trees is 3t.

Total number of trees = 2 t + 3 t = 5 t

That is

5t = 300

t = 60

Total number of pine trees = 2t = 2 x 60 = 120

Total number of maple trees = 3t = 3 x 60 = 180

There are 120 pine trees and 180 maple trees.

5 0

3 years ago

Find the average rate of change between f(-7) and f(-1) in the function f(x)=x^2+2x -8

Viktor [21]

Solve the equation by replacing x with -7 and then -1.

Then subtract the two to find the difference and divide that by the difference between -7 and -1.

f(-7) = -7^2 + 2(-7) -8 = 49 -14 -8 = 27

f(-1) = -1^2 + 2(-1) -8 = 1 -2 - 8 = -9

Difference between 27 and -9 = -36

Difference between -1 and -7 = -6

Rate of change = -36 /-6 = 6

3 0

4 years ago

The map of a walking trail is drawn on a coordinate grid with three points of interest. The trail starts at R(−3, 2) and goes to

emmainna [20.7K]

Answer

Find out the the total length of the walking trail .

To prove

Formula

$Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} +( y_{2} - y_{1})^{2}}$

As given

The trail starts at R(−3, 2) and goes to S(2, 2) and continues to T(2, −5).

$RS = \sqrt{(2-(-3))^{2} +( 2 - 2)^{2}}$

$RS = \sqrt{( 2 - (-3))^{2}}$

$RS = \sqrt{5^{2}}$

$RS = \sqrt{25}$

$\sqrt{25} = 5$

RS = 5 units

As given

S(2, 2) and continues to T(2, −5).

Now

$ST = \sqrt{(2-2)^{2} +( -5-2 )^{2}}$

$ST = \sqrt{( - 7)^{2}}$

$ST = \sqrt{49}$

$\sqrt{49} = 7$

ST = 7 units

Therefore

Total length of the trail = RS + ST

= 5 units + 7 units

= 12 units

Therefore the total length of the trail is 12 units.

5 0

3 years ago

Read 2 more answers

You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a par

Tanya [424]

Answer:

Hotel is over booked by 140 rooms

Step-by-step explanation:

Total number of hotel rooms = 1465

number reserved by individuals = 296

number reserved by groups = 651

booking rates = 67% for individual , 56% for groups

<u>Determine if you are under booked or overbooked for the weekend </u>

let X represent the number of rooms booked by individuals

and Y represent the number of rooms booked by groups

number of reserved room for individuals

= 67% of X = 296

X = 67% + 33%

= 296 + ( (296 / 67 ) * 33 )

= 296 + 146 ≈ 442

number of rooms reserved for groups

= 56% of Y = 651

Y =( 651 / 56 ) * 100

≈ 1163

Total rooms booked = X + Y

= 442 + 1163 = 1605

<u>To determine if under booked or over booked </u>

Total rooms booked - Total number of hotel rooms

= 1605 - 1465

= 140 ( Your Hotel is over booked )

4 0

3 years ago