Pleas help me solve the following inequality and graph the solution set on the number line
2(x-3)-5x≤9

Answer:

1:1.5 or 2:3 or 4:6 or 8:12, etc. is the ratio

Step-by-step explanation:

Answer:

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

Step-by-step explanation:

I've gone ahead and labeled some points.

There is a formula that says PA*PB = PC*PD, this is what you use.  If you would like me to show why this works I would be happy to.

So what we have is PA = 6, PB = 9+6 = 15, PC = 5 PD = 5+x so let;s writ ethe formula with these values

6*15 = 5(x+5)

90 = 5x + 25

65 = 5x

x = 13

EDIT: Here is the explanation for the formula

If you form triangles PCB and PAD you can find angle D and angle B are the same, because they are inscribed angles that intersect the same arc of the circle.  Also angle P is the same on both triangles since they are the same angle, so this means both triangles are similar.

This means DA is similar to BC, AP is similar to CP and PD is similar to PB. Similar sides means if you can multiply one side by a number to get to its similar side, then you can multiply all sides by that value to get all sides of that similar triangle.  

This also means if you divide one side by its similar side you get the scale value, so this means if you do it to two different sets of similar sides you get the same number

[tex]\frac{PA}{PC}=\frac{PD}{PB}\\PA*PB = PC*PD[/tex]

Answer:

4, -3

Step-by-step explanation:

I believe it'd be 4, -3 due to the shape moving seven units downwards, though I've only messed with triangles so I may be wrong. Sorry if I am.

A

Because of 3 adults bought 3 tickets, 9 x 3. 9(3)

4 students bought 4 tickets, 4 x 5, 4(3)

Answer:

$15 in interest

Step-by-step explanation:

sorry if it is wrong. I found 5% of 300 which is 15.

$15  money will tameka pay in interest.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

here, we get,

given that,

Tameka borrowed $300 to buy a digital music player she will pay the money back in 1 year at 5%simple interest.

P=$300

r=5%

t=1year

so, I =$300*5%*1

       =$15

Hence, $15  money will tameka pay in interest.

To learn more on interest click:

brainly.com/question/29335425

#SPJ5

Answer:

450 minutes

Step-by-step explanation:

Answer:

Wouldn't you multiply 45 × 10?

Step-by-step explanation:

Because it's 45 minutes each day she practices.

Answer:

the median is the middle set of data.

Step-by-step explanation:

Answer:

-3-5x

Step-by-step explanation:

4+(-7)-10x+5x

4-7-10x+5x

Answer:

−5−3

Step-by-step explanation:

Simplify

Subtract the numbers

4−7−10+5

−3−10+5

Combine like terms

−3−10+5

−3−5

Rearrange terms

−3−5

−5−3

Solution

−5−3

Answer:

1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The greatest common factor of 435 and 100 is 5, so if you make 5 groups, each group will have 87 representatives and 20 senators.

Answer: Length of each side of the building block will be 1 feet.

Answer:

23/45

Step-by-step explanation:

Answer:the third one

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

$1.25

Step-by-step explanation:

Given data

let the movie ticket be x and the candy bar be y

x+y= 5-------------1

also

2x+y= 8.75--------2

solve 1 and 2

x+y= 5

2x+y= 8.75

from 1

x= 5-y

put this inplace of x in 2

2(5-y)+y=8.75

10-2y+y= 8.75

10-y= 8.75

10-8.75=y

y= 1.25

Hence candy bar is $1.25

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

hope this helps you

,..............

Answer:

(5x + 5) ( 2x - 3)

5x (2x-3) +5(2x-3)

10x^2 - 15x + 10x -15

10x^2 -5x -15

Answer:

Step-by-step explanation:

Let the merchandise she sold = x

Her commission is 15% of that, so 15% of x or 0.15x

We know her commission was $40, so 0.15x = $40

0.15x = $40

Divide by 0.15

x = $266.67

We can check our answer by substituting $266.67 back into the equation.

0.15(266.67) = 40

40 = 40 ✅

Alyson sold $266.67 worth of merchandise.

Answer:

dcelfijiwq

Step-by-step explanation:

ddnwjw s20 x 60w qlk _

Answer: 16

Step-by-step explanation: If 1 mile is 1.6 km 10 times 1.6 is 16.

Answer:

d

Step-by-step explanation:

The answer is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

Answer:

1/3 times 9 so just do that math and there's your answer ;)

Answer: do the math kid 1/3 times 9 theres your answer

Step-by-step explanation:

Answer:

i don't know

Step-by-step explanation:

Answer:$5.00

Step-by-step explanation:

Let c = the cost of each candy bar

3 + 8c = 43

8c = 40

c = $5.00

Answer:

each candy bar costs 5 dollars

Step-by-step explanation:

43-3=50 and 40÷8=5

Answer:

A

Step-by-step explanation:

We want to find the equation of the line in slope-intercept form.

From the graph, we are given the two points (-5, 1) and (0, -3).

We can find the slope between them. The slope formula is given by:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We will let (-5, 1) be (x₁, y₁) and (0, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{(-3)-(1)}{(0)-(-5)}[/tex]

And evaluate:

[tex]\displaystyle m=\frac{-4}{5}=-\frac{4}{5}[/tex]

Next, notice that the point (0, -3) is already the y-intercept, so we do not need to find it.

Slope-intercept form is given by:

[tex]\displaystyle y=mx+b[/tex]

Therefore, our equation is:

[tex]\displaystyle y=-\frac{4}{5}x-3[/tex]

Our answer is A.

Answer:

i dont see the question

Step-by-step explanation:

Answer:

yes they are rational

Step-by-step explanation:

in mathematics rule numbers that are positive are usually in rational form❤

Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

y - y = -3x - 4 - ( 2x - 4)

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

Answer:

B.

Step-by-step explanation:

Step-by-step explanation:

[tex]1) \\ f(x) = 3x - 1 \\ f(2) = 3(2) - 1 = 5 \\ 2) \\f(x) = {x}^{2} - 1 \\ f(2) = {2}^{2} - 1 = 3[/tex]