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3 years ago

Apply the distributive property to create a equivalent expression: (m-3+4n)x(-8)

Mathematics

1 answer:

mestny [16]3 years ago

3 0

Answer:

(m - 3 + 4n)

Step-by-step explanation:

Please use * or · to indicate multiplication, not the letter "x."

Try this: Multiply (m - 3 + 4n) by -8 (distributive property for multiplication);

-8(m - 3 + 4n) = -8m + 24 - 32n

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Find the distance between the two points rounding to the nearest tenth (if necessary).

QveST [7]

The distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.

As per the question statement, two points having coordinates (4, -4) and

(9, -2) plotted on the cartesian plane.

We are required to calculate the distance between the above mentioned two points, rounded to the nearest tenth.

To solve this question, we need to know the Distance-formula which goes as,

"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by √[(x₂ - x₁)² + (y₂ - y₁)²]"

Assuming that [(x₁, y₁) = (4, -4)] and [(x₂, y₂) = (9, -2)], and substituting these values in the above-mentioned distance formula, we get,

√[(9 - 4)² + {(-2) - (-4)}²]

= √[(9 - 4)² + {(-2) + 4}²]

= √[(9 - 4)² + (4 - 2)²]

=√[(5)² + (2)²]

=√(25 + 4)

=√29

= 5.38 units.

Therefore, rounding (5.38) to the nearest tenth, we get, 5.40.

That is, the distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.

Distance: In Mathematics, physics or daily life, distance is a numerical or occasionally qualitative measurement of how far objects or points are from each other.
Coordinates: In geometry, coordinates are a pair of numbers that can uniquely determine the position of points or other geometric elements on a Euclidean or Cartesian Plane.

To learn more about Distances and Coordinates, click on the link below.

brainly.com/question/14364020

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5 0

1 year ago

20 POINTS PLEASE HELP QUICKLY!!

SIZIF [17.4K]

Answer:

They will each have saved $70.

Jessica is saving at a faster rate than Raphael.

The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.

Step-by-step explanation:

The formula for Jessica’s savings is

y = 10x + 20

She is saving at the rate of $10/wk .

From Raphael’s table, he started with $40 and is saving at the rate of $6/wk.

The formula for Raphael’s savings is

y = 6x +40

When the two savings are equal

10x + 20 = 6x + 40 Subtract 20 from each side

10x = 6x + 20 Subtract 6x from each side

4x = 20 Divide each side by 4

x = 5

Their savings will be equal after five weeks.

=====

After five weeks , Jessica will have saved

y = 10×5 + 20

y = 50 + 20

y = $70

Raphael has also saved $70.

=====

Jessica is saving at a faster rate than Raphael.

She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.

The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.

The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.

6 0

3 years ago

Coulter Supply has a total debt ratio of .46. What is the equity multiplier? Select one: a. .89 b. 1.17 c. 1.47 d. 1.85 e. 2.17

Archy [21]

Answer:

Option D.

Step-by-step explanation:

The formula for total debt ratio is

$\text{Total debt ratio}=\dfrac{\text{Total assets - Total Equity}}{\text{Total assets}}$

It can be rewritten as

$\text{Total debt ratio}=1-\dfrac{\text{Total Equity}}{\text{Total assets}}$ .... (1)

We know that,

$\text{ Equity multiplier}=\dfrac{\text{Total Equity}}{\text{Total assets}}$ ... (2)

Using (1) and (2) we get

$\text{Total debt ratio}=1-\dfrac{1}{\text{Equity multiplier}}$

Substitute total debt ratio=0.46 in the above equation.

$0.46=1-\dfrac{1}{\text{Equity multiplier}}$

$0.46-1=-\dfrac{1}{\text{Equity multiplier}}$

$-0.54=-\dfrac{1}{\text{Equity multiplier}}$

$\text{Equity multiplier}=-\dfrac{1}{-0.54}$

$\text{Equity multiplier}=1.85185185$

$\text{Equity multiplier}\approx 1.85$

Therefore, the correct option is D.

7 0

3 years ago

Suppose x and y vary together such that x is 7 times as large as y. write a formula that defines x in terms of y.

Ainat [17]

Since y is less than x by 7 times $\frac{x}{7}=y$ so in terms of x we write
x=7y

4 0

3 years ago

A drawing of the Eiffel Tower in Paris used the scale of 2 cm = 5 m. If the height of the tower in the drawing measures 120.4 cm

Delicious77 [7]

301 meters

Since 2cm=5m you would have to divide 120.4 by 2 to get 60.2 and times it by 5 to get 301

3 0

2 years ago

Read 2 more answers