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DochEvi [55]
3 years ago
15

A. -9/5 b. 9/5 c -5/9 d 5/9

Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0

slope = - \frac{9}{5}

using the points on the line ( - 4, 5 ) and ( 1,  - 4 )

slope = ( - 4 - 5 )/( 1 - ( - 4 )) = - \frac{9}{5}


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What is the solution to this system of equations?
77julia77 [94]

Answer:

(x,y) = (3, 1/2)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations..

To solve this, add the equations;

x + 2x + 2y - 2y = 4 + 5

3x = 9

x = 3

substitute the value of x into the first equation,

3 + 2y = 4

2y = 4 -3

2y = 1

y = 1/2

6 0
3 years ago
The difference of two numbers is 2. Their sum is 12. What are the numbers?
aliya0001 [1]

Answer:

the numbers would be <u>5 and 7</u>.

Step-by-step explanation:

<em>"the difference of two numbers is 2."</em>

  • 7 - 5 = 2

<em />

<em>"their sum is 12."</em>

  • 7 + 5 = 12

since the difference of 7 and 5 is 2 and the sum of 7 and 5 is 12, 5 and 7 are the numbers that fulfill the statement.

i hope this helps! have a lovely rest of your day <3

7 0
3 years ago
In a collection of coins consisting of only quarters and nickels, the total value is $1.80 and there are four times as many nick
Bond [772]
There are a total of 4 quarters and 16 nickels.
6 0
3 years ago
The scale drawing of a living room has the dimensions of 5.5cm x 12cm. If the scale is 1cm is equal to 2 feet, what are the dime
Klio2033 [76]

Answer:

The original living room dimensions are 11 feet × 24 feet and the area is 264 feet².

Step-by-step explanation:

Given:

The scale drawing of a living room has the dimensions of 5.5cm x 12cm.

If the scale is 1 cm is equal to 2 feet.

Now, to find the dimensions of original living room and the area of the original living room.

As given 1 cm is equal to 2 feet.

So, 1 cm is equivalent to 2 feet.

Now, let the original dimension be y\ cm.

Now, solving by cross multiplication method:

\frac{1}{2} =\frac{5.5}{y}

By cross multiplying we get:

y=11

Again:

\frac{1}{2} =\frac{12}{y}

By cross multiplying we get:

y=24

Thus, the original dimensions are 11 feet × 24 feet.

The original dimensions are 11 feet × 24 feet.

Now, the area of original living room:

Area = 11\times 24\\Area = 264\ feet^2.

And the area is 264 feet².

Therefore, the original living room dimensions are 11 feet × 24 feet and the area is 264 feet².

3 0
3 years ago
3. The total cost after tax to repair Deborah's computer is represented by , where h represents the number of hours it takes to
Elza [17]

Complete question :

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Total cost after tax = 0.08(50h) + 50h

a. What part of the expression represents the amount of tax Deborah has to pay? Explain

0.08(50h) represents Tha amount of tax Deborah has to pay. This can be interpreted as :

Recall;

Tax amount = tax rate * cost

Cost of repair = 50h = 50 per hour

Tax rate = 0.08 = 8% of the total cost;

Hence; 0.08(50h) = tax Deborah has to pay.

What would the expression be if the company charged Deborah $45 per hour to repair the computer (plus tax)?

If she was charged $45 per hour plus tax. Expression becomes ;

Total cost after tax = 0.08(45h) + 45h

= 3.6h + 45h

= 48.6h

4 0
3 years ago
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