1. What is the rate of change(slope) of the following linear equation x-3y = 12?

Answers

Answer 1

Answer:

m= 1/3

Step-by-step explanation:


Related Questions

Consider this expression.

Find the values for a, b, and c that make this expression equivalent to the given expression below.

a =
b =
c =

Answers

Answer:

a= 7

b= 2

c= -4

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The value of a, b, and c is 7, 2, -and 4, respectively.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The sum of the above two expressions can be done as,

[tex]\dfrac{3x}{x+2} + \dfrac{4x}{x-2}\\\\= \dfrac{3x(x+2)+4x(x-2)}{(x+2)(x-2)}\\\\= \dfrac{7x^2+2x}{x^2-4}[/tex]

Comparing the given expression [tex]\dfrac{ax^2+bx}{x^2-c}[/tex] with [tex]\dfrac{7x^2+2x}{x^2-4}[/tex].

Hence, the value of a, b, and c is 7, 2, -and 4, respectively.

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The figure in this imagen was reflecting

Answers

Answer:

(a); (b); (d)

Step-by-step explanation:

ΔGHK ≅ ΔMNP

(a). GH = MN

(b). KH = PN

(d). ∠G ≅ ∠ M

2 dogs/3 Cats and 10 dogs/15 cats are an example of
A. Complex Fraction
B. Equivalent Fraction
C. Rate
D. Ratio

Answers

Answer:

I think its B. Equivalent Fraction

A gym employee is paid monthly. After working for three months, he had earned $4,500. To determine how much money he will make over a six-month period'he created the table below

1. if he continues to earn at the same rate how much will he have working 5 months?

2. After how many months will the gym employee have made $19,500?

3. write an equation to represent the constant of proportionality​

Answers

Answer:

$9000

Step-by-step explanation:

A gym employee has earned in 3 months =$4500

Then his monthly salary =$4500/3 =$1500

After six months he will earn = 6 × his monthly salary

= 6×$1500=$9000

Ryan has $40 and then spends $40 dollars.

A Yes, the situation represents additive inverses.
B No, the situation does not represent additive inverses.

Answers

Answer:

Step-by-step explanation:

Answer: B

Step-by-step explanation:

What you add to a number to get zero.

The negative of a number.

Example:

The additive inverse of −5 is +5, because −5 + 5 = 0

The additive inverse of +5 is −5, because +5 − 5 = 0

(03.01)
The domain of the following relation R {(3,-2), (1, 2), (-1,-4), (-1, 2)} is

Answers

The domain is set of x-value.

Therefore, the domain of the relation Domain of R = {3,1,-1}

2 3/9+3/7
fraction please answer fast​

Answers

Answer:

2 16/21

Step-by-step explanation:

1/10 of ____is ten times as much as 500

Answers

Answer:

5000, i think, im not sure

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

.1 x X = 500 (10)

.1 x 50000 = 500 (10)


5
Subtract 27 from 43
14
21

Answers

Answer:

-0.4522

Step-by-step explanation:

Teresa plans to attend college in 3 years. She will need $13,600 for the first-year cost. Her uncle gave her a special gift of $10,000 to use toward the cost. How much must Teresa save each month to have enough for the first-year cost?

Answers

Answer:

100$ per month

Step-by-step explanation:

The area of a rectangular parking lot is 4947 m2.
If the length of the parking lot is 97 m, what is its width?


Width of the parking lot:

The perimeter of a rectangular pool is 304 m.
If the width of the pool is 68 m, what is its length?


Length of the pool:

Answers

Answer:

1. width = 51 m

2. length = 84 m

Step-by-step explanation:

So remember, the area is (length * width).

It is given that the length is 97, and the area is 4947.

So plug this into a formula:

length * width = area

97 * width = 4947

Solve using inverse operations;

97 * width = 4947

/97               /97

width = 51m

The perimeter of a rectangle can be found by doing, (2 * (length + width)).

The width is given, it is 68m. The perimeter is also given, 304m. So just form an equation using this information:

2 * ( length + width) = perimeter

2 * (length + 68 ) = 304

Distribute;

2 * ( length + 68) = 304

2 length + 136 = 304

Inverse operations;

2length + 136 = 304

               -136    -136

2length = 168

/2             /2

length = 84m

Answer:

The answer for number 1 is  width = 51 m  

The answer for number 2 is length = 84 m

Step-by-step explanation:

Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?

Answers

125 times because 150 divided by 30 is 5 and 5 times 25 is 125

Aicha has 36 dress. She completes 1/2 of the dresses in 3/4 of an hour.If she continues at this rate what fraction of the dresses will she complete in one hour?

Answers

Answer:

2/3

Step-by-step explanation:

1/2 dresses = 36x1/2 = 18

18 dresses in 3/4 hr. ==> 1/4hr ==> 18/3 = 6

1hr ==> 6x4 = 24

fraction = 24/36 = 2/3

You can buy 12 donuts for $9.60. What is the price for 1 donut?

Answers

Answer:

0.80 cents

Step-by-step explanation:

I divided 9.60 by 12.

To find the answer, just divide the amount of donuts to the price.

9.60 / 12 = 0.80

So, each donut costs .80 cents.

Stacy wants oil for the cake pops and cupcakes for her birthday party. She needs 1/2 of a cup of vegetable oil for the cake pops and 1.5 times as much oil for the cupcakes. If Stacy has 2 1/2 cups of vegetable oil, how much will she have left over after she makes the cake pops and cupcakes

Answers

Answer:

1 1/4

Step-by-step

The oil left over after she makes the cake pops and cupcakes is 1.25 cups.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Stacy wants oil for the cake pops and cupcakes for her birthday party.

She needs 1/2=0.5 of a cup of vegetable oil for the cake pops and 1.5 times as much oil for the cupcakes.

So, oil required to make cupcakes is 1.5 ×1/2

= 1.5/2

= 0.75

Stacy has [tex]2\frac{1}{2}[/tex] =2.5 cups of vegetable oil

Total vegetable oil used =0.75+0.5

= 1.25 cups

Oil left over is 2.5-1.25=1.25

Therefore, the oil left over after she makes the cake pops and cupcakes is 1.25 cups.

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double question for 18 points

Answers

Answer: they distribute 38 samples per hour

if x equals sample it would be 38x per hour

Step-by-step explanation:

the second would be 36 per hour also

Answer:

38 samples per hour

if x equals sample it would be 38x per hour

Step-by-step explanation:

the second would be 36 per hour also

Step-by-step explanation:

Prove that the sum of the squares of the lengths of the medians of a triangle is three fourths the sum of the squares of the lengths of the sides.

Answers

Answer:

3[|AB|² + |BC|² + |AC|²] = 4[|AD|² + |BE|² + |CF|²]

Step-by-step explanation:

I've attached an image showing a triangle divided into it's medians.

Now, from the attached image, we see that AB, BC & CD are the lengths of sides of triangle while AD, BE & CF are lengths of the 3 medians of the triangle.

Now, to prove our question, we will use appolonius theorem which states that "the sum of the squares of any of the two sides of a triangle is equal to twice the square on half the third side including twice the square on the median that bisects the third side.

Applying this theorem to the image attached, we have the following;

|AB|² + |AC|² = 2[|AD|² + |BC/2|²]

|AB|² + |BC|² = 2[|BE|² + |AC/2|²]

|AC|² + |BC|² = 2[|CF|² + |AB/2|²]

Adding the 3 equations above gives us;

2|AB|² + 2|BC|² + 2|AC|² = 2|AD|² + |BC|²/2 + 2|BE|² + |AC|²/2 + 2|CF|² + |AB|²/2

Collecting like terms;

(2|AB|² - |AB|²/2) + (2|BC|² - |BC|²/2) + (2|AC|² - |AC|²/2) = 2|AD|² + 2|BE|² + 2|CF|²

Thus gives;

(3/2)[|AB|² + |BC|² + |AC|²] = 2[|AD|² + |BE|² + |CF|²]

Multiply both sides by 2 to give;

3[|AB|² + |BC|² + |AC|²] = 4[|AD|² + |BE|² + |CF|²]

A camera has a listed price of $522.99 before tax, if the sales rate is 6.25%

Answers

Answer:

555

Step-by-step explanation:

How many more miles is 27.2 than 6.8

Answers

Answer:

20.4 miles

Step-by-step explanation:

Answer: 20.4

Step-by-step explanation: How many more miles is 27.2 than 6.8

usually these kind of equations mean to subtract, in other terms find the underlined key words

27.2-6.8= 20.4

GUYS HALP MEH WITH MATH!!!

Answers

Answer:

i think -575

Step-by-step explanation:

Estimate a 15% tip on a dinner bill of $89.61 by first rounding the bill amount to the nearest ten dollars.
will give brainly

Answers

Answer:

$13??

Rounded to 10

Step-by-step explanation:

The tip cost will be $13.50. The total would be $103.50.

First you round 89.61 to the nearest ten dollars, so it would be 90. Then to find the tip, you can use a calculator and type 90-15%. The number should pop up as 13.5 and you can add it to the rounded total, 90. 90+13.5= 103.5. I hope this helps!

The product of two integers is -21. The difference between the integers is -10. The sum of the two integers is 4. What are the two integers.

Answers

Answer:

-3 and 7

Explanation:

-3 X 7 = 21

-3 – 7 = -10

-3 + 7 = 4

The value of two integers are -3 and 7.

Here,

Given that;

The product of two integers is -21.

The difference between the integers is -10.

The sum of the two integers is 4.

We have to find the value of two integers.

What is integers?

An integers is a whole number (not a fractional number) that can be positive, negative, or zero.

Now,

Let two numbers are x and y.

Then, The product of two integers is -21.

x * y = -21 ..... (i)

The difference between the integers is -10.

x - y = -10 ..... (ii)

The sum of the two integers is 4.

x + y = 4 .....(iii)

Add equation (ii) and (iii), we get;

x - y + x + y = -10 + 4

2x = -6

x = -3

And,

x + y = 4

-3 + y = 4

y = 7

Hence the two integers x and y are -3 and 7.

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In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. Find the probability of winning if you pick the number 30 and it comes up on the wheel. Round your answer to 3 decimal places. Answer:

Answers

Answer:

Step-by-step explanation:

Total out come is 38

Favorable outcome is 1

Probability is 1/38 ≈ 0.026

The probability of winning if you pick the number 30, and it comes up on the wheel, will be 0.026.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00.

Then the total number of the event will be

Total event = 38 {0, 00, 1, 2, …, 36}

Then the probability of winning if you pick the number 30, and it comes up on the wheel will be

Favorable event = 1 {30}

Then the probability will be

P = 1 / 38

P = 0.026

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What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
-3
-1
2
4​

Answers

Answer:

anwer is 4 i m not sure

of i m right plz give me the brainliest

Olivia is making scarves each scarf will have 5 rectangles and 2/5 of the rectangles will be purple how many purple rectangles does she need for 3 scarves

Answers

Answer:

Out of every 5 rectangles 2 shall be purple.

3 scarves have 3 times 5 rectangles.

Thus they shall be 3 times 2 that are purple.

Step-by-step explanation:

Eighteen cups are equally packed into 6 boxes. Two boxes of cups break. How many cups are unbroken?

Answers

Answer:12

Step-by-step explanation:

18/6=3 cups in each box

3*2=6 cups broke=2 boxes

18-6=12 cups are unbroken

What fraction is larger 3/8 or 10/24?

Answers

Answer:

10/24

Step-by-step explanation:

hope this helps :)

Answer:

5/8

Step-by-step explanation:

Have a good day! :)

the quotient of a number y and -3.6 is less than 6.5. What is the inequality

Answers

y/-3.6 < 6.5 becomes -y/3.6 < 6.5

Answer: -y/3.6 < 6.5

Question 2 (1 point)
Divide using any method.
(2x3 + 5x2 – x + 7)
(x - 2)

Answers

Answer:

2x^2+9x+17+41/x-2

Step-by-step explanation:

give brainliest pls

Hope this helps you!

HELPPPPPPPPP!!!
What is z/
W
0-4 + 16i
O 6 + 10i
O 7+11i
O 8+2i

Answers

The value of z/w is, (8 + 2i)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph is shown in figure.

And, The point z = (6 + 10i)

The point w = (1 + i)

Now,

We can find the value of z/w is,

⇒ z/w = (6 + 10i) / (1 + i)

         = (6 + 10i) (1 - i) / (1 + i) (1 - i)

          = (6 - 6i + 10i - 10i²) / (1 - i²)

          = (6 + 4i + 10) / (1 + 1)

          = (4i + 16) / 2

          = (8 + 2i)

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