Are integers rational numbers

Answer:

k = 3 and k = 1

Step-by-step explanation:

Given that the relationship is proportional then the equation relating the quantities is

y = kx ← k is the constant of proportion

To find k divide both sides by x , then

k = [tex]\frac{y}{x}[/tex]

For graph a use the point (2, 6 ), then

k = [tex]\frac{6}{2}[/tex] = 3

For graph b use the point (4, 4 ), then

k = [tex]\frac{4}{4}[/tex] = 1

Answer:

AOC and BOC is complementary angles.

AOC and BOD is supplementary angles

Step-by-step explanation:

Answer:

the correct answer is c

Step-by-step explanation:

edg

Answer:

[tex]b=-5, -7[/tex]

Step-by-step explanation:

We have the equation [tex]b^2+35=-12b[/tex] and we want to solve it by factoring.

First, let's move all the stuff to one side so that the other side is 0. So, let's add [tex]12b[/tex] to both sides. This yields:

[tex]b^2+12b+35=0[/tex]

Let's review how to factor. If we have an equation in the following form:

[tex]ax^2+bx+c=0[/tex]

Where a, b, and c are the coefficients of the variable (in our example, our variable is b), then we must find two numbers, p and q, such that:

[tex]pq=ac \text{ (p times q equals a times c) and}\\p+q=b \text{ (p plus q equals b)}[/tex]

Our equation can be rewritten as:

[tex](1)b^2+(12)b+(35)=0[/tex]

So, our a is 1, b is 12, and c is 35.

Therefore, we need to find two numbers that when multiplied together yields a(c) = 1(35) = 35 and we added together yields b = 12.

From here, we just have to guess and check. We can start by listing all the factors of 35. There aren't in fact that many:

[tex]35: 1\text{ and } 35, 5\text{ and } 7[/tex]

1 + 35 is 36, not 12. However, 5 + 7 is indeed 12. So, our two numbers p and q are 5 and 7.

Now what we've found our two numbers, we substitute the b term for our two numbers. We have:

[tex]b^2+12b+35=0[/tex]

We will substitute 12b for 5b + 7b:

[tex]b^2+5b+7b+35=0[/tex]

From here, we factor by grouping. From the first two terms, factor out a b:

[tex]b(b+5)+7b+35=0[/tex]

And from the last two terms, factor out a 7:

[tex]b(b+5)+7(b+5)=0[/tex]

Now, notice that both terms have a [tex](b+5)[/tex]. So, by using grouping or the reverse of the distribute property, we can write:

[tex](b+7)(b+5)=0[/tex]

Notice that if we distribute the left term into the right, we get [tex]b(b+5)+7(b+5)=0[/tex], so our equation is indeed equivalent.

So now we. have:

[tex](b+7)(b+5)=0[/tex]

We can now use the Zero Product Property to acquire:

[tex]b+7=0\text{ or } b+5=0[/tex]

Solve for b for each case. Therefore, the solutions of our equation are:

[tex]b=-7\text{ or } b=-5[/tex]

Notes:

If we can't find two numbers p and q that satisfy our conditions, this means that the equation cannot be factored. So, we will use alternative methods to solve our equation.

Answer:

it is 5 hundred thousand so thousands place

Step-by-step explanation:

Answer:

D. 5

Step-by-step explanation:

Assuming 1 box = 1 unit on the coordinate grid, therefore:

Coordinate of point P on the graph = 1

Coordinate of the point at which the ray from point P meets at line n = -4

Distance from P to n = |1 - (-4)|

= |1 + 4|

Distance from P to n = 5 units

The answer is D. 5

Answer:

31

Step-by-step explanation:

2(5) + 7(3) =31

2x5 = 10

7x3 = 21

10+21 = 31

Answer:

The answer is 31

Step-by-step explanation:

Plug the numbers for the variables into the equation.

2×5+7×3

Multiply

10+21

Add

10+21 = 31

The final price be lower if the discount is applied before the coupon.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that sporting goods store is offering a 20% discount on shoes. Mariana also has a $5 off coupon that can be applied to her

purchase.

She is planning to buy a pair of shoes that originally costs =  $89.

The discount price is the same either way.

Thus 20 percent of $89.00= 17.80$

Therefore, we have;

$89.00 - ($5.00 x $17.80) = $66.20

$89.00 - ($17.80 x $5.00) = $66.20

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Here are a few reasons:

The triangles have the same three sides

The triangles have the same three angles

The triangles could perfect overlap one another

They have corresponding angles.

Not sure if this helped but I hope so!

Answer:

6 / 8

Step-by-step explanation:

Just multiply by 2

Answer:

3/4=6/8=9/12=12/16 and so on

Step-by-step explanation:

Just use the multiples of 3/4

Pls mark me brainliest!!!

Answer: What is this for (Like what app)

Step-by-step explanation:

The Answer is 13/48 hope this helps mark as brainliest plz.

Answer:

13/48

Step-by-step explanation:

Hope this helps

Answer:240 thank me later -Amanda wlms

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

Answer:

CBD

Step-by-step explanation:

Answer:

Step-by-step explanation:

It should be c

Answer:

in 4 years

Step-by-step explanation:

because you should find the 20% of 150

150×20=3000

3000÷100= 30

so 20% of 150 is 30

then you keep adding 30 to the results till you reach 300

The equation is 150+30x=300 and it takes 3 years for the company to earn $300.

Given that, a small business begins with $150 and grows by 20% each year.

We need to find when will the company's income by $300.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, 20% of 150=30

Let x be the number of years.

So, f(x)=150+30x

⇒150+30x=300

⇒30x=150

⇒x=3

The equation is 150+30x=300 and it takes 3 years for the company to earn $300.

To learn more about the equations visit:

https://brainly.com/question/10413253.

#SPJ2

Answer:

Think about it this way: The x axis goes from left to right, correct? So just try to visualize actually picking up the object and flipping it over that axis. So since one tip of the triangle is on the coordinate (1,1), after reflecting the shape that same tip would be on (1,-1). You understand?

Answer:

Step-by-step explanation:

from the question, we are told that Lisa bakes 3dozens cupcakes every hour, to know the amount she makes in h hours, we will use the equality postulate as shown;.

3 dozens = 1hour

n(h) = h hour

Cross multiply

n(h) × 1 = 3×h

n(h) = 3h

Hence the function that models the number of cupcakes Lisa makes in h hours is n(h) = 3h

To get the cost function in terms of hours, we will find the composite function C(n(h))

C(n(h)) = C(3h)

Given C(n) = 60 + 0.45n

C(3h) is derived by substituting n as 3h in the function as shown;

C(3h) = 60+0.45(3h)

C(3h) = 60+1.35h

Hence the cost function in terms of hours, h, is given by 60+1.35h

To get the cost for making cupcakes for 2 hours, we will substitute h = 2 into the expression C(h) = 60+1.35h

C(2) = 60+1.35(2)

C(2) = 60+2.70

C(2) = 62.70

Hence the cost for making cupcakes for 2 hours is $62.70

Answer:

The function that models the number of cupcakes Lisa makes in h hours is n(h) = 36h. The cost function in terms of hours, h, is given by 60 + 16.2h. Lisa's cost for making cupcakes for 2 hours is $92.40

.

Step-by-step explanation:

Answer add 6.4 to each side explanation:

Answer:

5 times 7 is 35.

Answer: B

The answer above is correct. It would be 5pi/3.

Step-by-step explanation: Edge2021

I just got it right on my quiz.

The value of the x is equal to the 5pi/3.

The expression is

[tex]\sin \left(11\cdot \frac{\pi }{2}+x\right)=-\frac{1}{2},\:\pi \le \:x\le \:2\pi[/tex]

The value of the given expression.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]\sin \left(11\cdot \frac{\pi }{2}+x\right)=-\frac{1}{2},\:\pi \le \:x\le \:2\pi[/tex]

[tex]11\cdot \frac{\pi }{2}+x=\frac{7\pi }{6}+2\pi n,\:11\cdot \frac{\pi }{2}+x=\frac{11\pi }{6}+2\pi n[/tex]

[tex]x=2\pi n-\frac{13\pi }{3},\:x=2\pi n-\frac{11\pi }{3}[/tex]

[tex]x=\frac{5\pi }{3}[/tex]

Therefore, The value of the x is equal to the 5pi/3.

To learn more about the sin function visit:

https://brainly.com/question/16818112

#SPJ2

Answer:

the answer is C, 0

Answer:

C) 0

Step-by-step explanation:

7(x + 2) = 7x - 10

First, we multiply within the parenthesis

7x + 2 = 7x - 10

Add 10 to both sides of the equation

7x + 12 = 7x

Subtract 7x from both sides of the equation

12 = 0

Because the answer is 0, that means there are 0 solutions and the equation can not be solved.

I hope that this helps! :)

Answer:

Quotient: 7

Remainder: around .16

Step-by-step explanation:

Answer:

quotient : 7         remainder:1

Step-by-step explanation:

43 / 6 = 7.17

7 x 6 = 42

43 - 42 = 1

hope that helps :)

Answer:

3-5x

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Original slope: 1/3

Perpendicular slopes are the negative reciprocals of the original slope.

Answer:

i think option D

Step-by-step explanation:

Answer:the man above me

Step-by-step explanation:

Answer:

She should get $23.6 in change

Step-by-step explanation:

You add the two items she bought which makes up $89.94, then you subtract the discount of $13.50, which leaves you with 76.44 to pay. If you pay with a 100 dollar bill, you subtract 76.44 from 100 in order to find out how much change you recieve.

Answer:

Step-by-step explanation:

100-((39.95+49.99)-13.50)=

100-(89.94-13.50)=

100-76.44=

23.56

You have to add the amount she is paying for the total then subtract that by the discount. Then subtract how much she gave them by the cost to get the change!

Answer:

b

Step-by-step explanation:

The correct function is graphed on the coordinate plane is,

⇒ y = 2x - 6

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (3, 0) and (4, 2).

Now,

Since, The equation of line passes through the points (3, 0) and (4, 2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (2 - 0) / (4 - 3)

m = 2 / 1

m = 2

Thus, The equation of line with slope 2 is,

⇒ y - 0 = 2 (x - 3)

⇒ y = 2x - 6

Therefore, The equation of line passes through the points 3, 0) and (4, 2). will be;

⇒ y = 2x - 6

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

Answer:

The answer is 3/7

Step-by-step explanation: