What is the slope of the line described by the equation 4x + 6y = 12?

Answers:
-3/2
-2/3
2/3
3/2

Answer:

Angela's mistake is in step 1, she failed to change the sign when subtracting from both sides

Step-by-step explanation:

Equation given :

The correct solution should be :

3/4 - 3/4 + m = 5/4 - 3/4

m = 2/ 4

m = 1/2

Therefore failure to change the sign will result in a obtaining a wrong answer for the exercise.

m=1/2

hope this helps!

Answer:

Step-by-step explanation: The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph  by  finding  the change  in y and the change in x.

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

[tex]tan(45)=\frac{x}{\sqrt{2}}[/tex]

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by [tex]\sqrt{2}[/tex]. [tex]\sqrt{2}[/tex] multiplied by itself is simply 2. Try it! We also want to multiply the numerator by [tex]\sqrt{2}[/tex], but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

[tex]tan(45)=\frac{x\sqrt{2} }{2}[/tex]

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

[tex]\frac{x\sqrt{2} }{2*2} =x\sqrt{2}[/tex]

[tex]tan(45)*2=2[/tex]

We can plug 2 in for the x in the numerator now:

[tex]\frac{2\sqrt{2} }{2}[/tex]

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of [tex]x=\sqrt{2}[/tex]

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

Answer:

b.4

Step-by-step explanation:

8x=32

x = 32 / 8

x = 4

Answer:

c)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-a)² + (y-b)² = c²

Answer:

1. Baseball

2. Soccer ball

3. Football

Explantion:

Speed = Distance / time

Baseball --> 1270/32 = 39.69

Football --> 1199/44 = 27.25

Soccer ball --> 1270/44 = 28.86

Answer:

1. Baseball

2. Soccer ball

3. Football  

Formula= Speed = Distance / time

Baseball in fraction form is 1270/32 and in decimal form is 39.69

Football in fraction from is 1199/44 and in decimal form is 27.25

Soccer ball in fraction form is 1270/44 and in decimal 28.86

Hope this helps <3 Need thanks? Comment /hearthelp

Answer:

Step-by-step explanation:

x+y = 90°

x = y+18°

(y+18°) + y = 90°

2y = 72°

y = 36°

x = y+18° = 54°

Answer:

b. y = 5/3x

Step-by-step explanation:

i hope this helps :)

Answer:

the new discounted price is $5.85

Step-by-step explanation:

First convert 130% into a decimal: 130 ÷ 100 = 1.3

Next multiply 1.3 by 9: 9 x 1.3 = 11.7

Then convert 50% into a decimal: 50 ÷ 100 = 0.5

Last multiply 11.7 by 0.5: 11.7 x 0.5 = 5.85

Answer:

12 stamps

Step-by-step explanation:

6 divided by 0.50 = 12

Answer: it’s 12

Step-by-step explanation: all I did was multiplied 6 by .50

Hope this helps!

Answer: C,E

Step-by-step explanation: This is because when we plug in 5 for x and  for y in the first inequality we get.

-3(5)-5>-4

Which equals -20>-4 and thats false so thats not it.

Then we got to (2,6) and we plug 2 for x and 6 for y and get:

-3(2)-6>-4

Which is -12>-4 which is false so thats also not it.

Then we got to C and we plug in -4 for x and 1 for y and we get:

-3(-4)-1>-4 and we get 12-1>-4

This is correct so we plug it in to the next inequality and get:

2(-4)-1<-2 and we get -9<-2 which is true

So C is an answer and we go on to d and e

For d we plug in 6 for x and 5 for y and we get:

-3(6)-5>-4 which is -23>-4 which is false so its not d

And then we go to e which is -5 for x and 0 for y and we plug in and we get:

-3(-5)-0>-4 This is 15>-4 which is true so we go to the next inequality and we plug in -5 for x and 0 for y and we get:

2(-5)-5(0)<-2 This is -10<-2 which is true so e is the other answer so the answers are

(C,E)

Answer:- 1/100 degrees Fahrenheit

Step-by-step explanation:

The directions say decreasing so it has to be negative, and the slope is showing how much it is decreasing every meter. y=mx+b. The mx is the slope which is where the answer is located.

Answer:

B

Step-by-step explanation:

the answer is B.the equation of the line

Answer:

I think 24

Step-by-step explanation:

11+9=20+2+2=24

Answer: 4 over 5 is not a whole number and so it cannot be expressed as a whole number.

Step-by-step explanation:

Answer:

$5700 - $5500= $200

Explanation:

The total installments: 24 ($175) = $4200

The hire purchase price: $1500 + $4200 = $5700

The amount saved by paying cash: $5700 - $5500= $200

Answer:

NOPE

Step-by-step explanation:

Answer:

The increase is 15%

Step-by-step explanation:

Hope this helps!

Answer:

3rd one

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Solve 9x-1 = 41-5x

9x-1 = 41-5x

   +1   +1

9x = 42-5x

+5x      +5x

14x = 42

/14     /14

x = 3

Plug in X for EF

41-5(3)

41-15

=26

Answer: 33

Step-by-step explanation:

Given

The cost of one walnut is 2 more than the cost of a cashew

Jillian bought twice the amount of cashew as William and 10 fewer walnuts

Suppose the price of cashew and walnuts be x and x+2

Assume William bought a cashew and b walnuts

Money spent by Willian

[tex]\Rightarrow W=a(x)+b(x+2)[/tex]

Money spent by Jillian

[tex]\Rightarrow J=2a(x)+(b-10)(x+2)[/tex]

They spent equal money i.e.

[tex]\Rightarrow ax+bx+2b=2ax+bx+2b-10x-20\\\Rightarrow ax-10x-20=0\\\Rightarrow (a-10)x=20\\\text{Here product of two number is 20 , so both must be greater than 0}\\\therefore a-10>0\\\Rightarrow a>10\\\text{i.e. minimum value of a is 11}[/tex]

The amount of cashew both twins bought is a+2a=3a

[tex]\Rightarrow 3a=3\times 11=33[/tex]

Answer:

Part B The manager of The Gadget Factory wants to make sure that the next shipment costs no more than $15,000. Write an inequality that shows the amount of money that can be spent. Graph the inequality on the number line. Let n=the amount of money spent.

Step-by-step explanation:

The inequality equation is n ≤ 15,000 , where n is the amount of money spent

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the amount of money spent be represented as n

And , the next shipment costs no more than $15,000

So , n ≤ 15,000   be equation (1)

Therefore , the value of A is n ≤ 15,000 and the graph is plotted

Hence , the inequality equation is n ≤ 15,000

To learn more about inequality equation click :

https://brainly.com/question/11897796

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Answer:

[tex]2x + 10 = 28 \\ 2x = 28 - 10 \\ 2x = 18 \\ 2x \div 2 = 18 \div 2 \\ x = 14[/tex]

Answer:

-5

Step-by-step explanation:

The rate of change is normally the number not attached to X so in this equation it is-5.

Answer:

Step-by-step explanation:

Which of the following equations is equivalent to y-3=-2(x-6): y+3x=6 ... Move the +3*x to the right side by subtracting 3*x from (or adding negative 3*x to) ... And in addition, we know that the line graph crosses the y-axis where y equals y=-2x3.

Answer:

5 6 2 + 1 9 − 1 0

Step-by-step explanation:

Answer:

The answer is (-9)

Step-by-step explanation:

The solution is, the result of the division is 1.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

(-15)-(-18)

now we have to divide this by 3

so, we get,

(-15)-(-18) /3

now,

(-15)-(-18)

= -15 + 18

=3

so, we have,

(-15)-(-18) /3

=3 /3

=1

Hence. The solution is, the result of the division is 1.

To learn more on division click:

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Answer:   I'm gonna go with B. hours worked; weekly pay; 30 to 35 hours; $360 to $420, because I had something similar to this

Wendy is paid $9 per hour and plans to work between 20 and 25 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.

weekly pay; hours worked; 20 to 25 hours; $180 to $225

hours worked; weekly pay; 20 to 25 hours; $180 to $225

weekly pay; hours worked; $180 to $225; 20 to 25 hours

hours worked; weekly pay; 20 to 25 hours; $9 to $225

Step-by-step explanation:

The independent quantity is her pay and the dependent quantity is the hours she works in a week.

I believe the range would be 30 to 35 hours and the domain would be $360 to $450.

...................................................................................................................................................

Answer:

Part a) The independent quantity is the variable x (the number of hours) and the dependent quantity is the variable y (total paid)

Part b) Domain  

Part c) Range  

Step-by-step explanation:

Let

x------> the number of hours

y-----> total paid

The linear equation that represent this situation is

so

Part a)

The independent quantity is the variable x (the number of hours)

The dependent quantity is the variable y (total paid)

Part b) Find the domain

The domain is the interval-------->  

All real numbers greater than or equal to  hours and less than or equal to  hours

Part c) Find the range

For  

find the value of y

For  

find the value of y

The range is the interval------->  

All real numbers greater than or equal to  and less than or equal to  

...............................................................................................................................................

The dependent quantity would be the $12 per hour, while the independent quantities are 30 hrs/ week to 35 hours/ week.

The $12 per hour would become $360/week to $420/week.

The domain of the problem, with the unit of hrs/week, would be :30,31,32,33,34,35.

The Range of the problem, with the unit of $/week, would be : 360, 372, 384, 396, 408, 420.

...............................................................................................................................................

21 Answer:

[tex] \frac{3}{a} [/tex]

22 Answer:

[tex] \frac{1}{ {b}^{3} } [/tex]

23 Answer:

[tex] \frac{ {4a}^{2}c^{3} }{ {b}^{2} } [/tex]

24 Answer:

[tex]9c ^{4} [/tex]

25 Answer:

[tex] - \frac{1}{ {a}^{2} } [/tex]

26 Answer:

[tex] \frac{1}{ {c}^{2} } [/tex]