The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB​

Answer:

x = 50

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

x = 10 when y = 40, then

40 = 10k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When y = 200, then

200 = 4x ( divide both sides by 4 )

50 = x

Answer:

$28.80

Step-by-step explanation:

16 times 0.8 = 12.8 + 16 = 28.80

Answer: -18

Step-by-step explanation:

Given:

The arithmetic mean of three consecutive even integers is 20.

To find:

The equation that can be used to find the integers.

Solution:

Let the three consecutive even integers are x, x+2 and x+4.

We know that,

[tex]\tex{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

The arithmetic mean of three consecutive even integers is:

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

It is given that, mean = 20. So,

[tex]\dfrac{x+(x+2)+(x+4)}{3}=20[/tex]

Therefore, the correct option is E.

Answer:

2 times

Step-by-step explanation:

you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!

Answer:

A

Step-by-step explanation:

Answer:

a.

A line of credit which does not require collateral.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you determine the variables x and y as:

x: the value for student tickets

y: the value for chaperone tickets.

Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:

x= y +2

On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:

59x + 6y = 508

Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:

[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]

Solving for x, the price of a student ticket:

Rearranging  the first equation,

y = x - 2

Replacing in the second equation and solving for x:

59*x + 6*(x -2)=508

59*x + 6*x -12=508

65*x -12=508

65*x= 508 +12

65*x= 520

[tex]x=\frac{520}{65}[/tex]

x=8

The cost of a student ticket is 8$

Answer:

The last one 4x4

Step-by-step explanation:

Answer:

last one, D.

Step-by-step explanation:

Answer:

here you go, this is your answer

Answer:

(B) 31.5

Step-by-step explanation:

Answer:

y = -5x + 35.

Step-by-step explanation:

y = -5x + 7

The slope for that y = -5x+7 is -5. Parallel lines have the same slopes which means the line parallel to that one will also have a slope of -5.

So now let's use the slope intercept form to create the equation that is parallel to the above equation.

y = mx + b

Since slope (m) is -5, we can plug it into the equation.

y = -5x + b

Now let's use the point (7,0) to find the y-intercept (b). We can do that by plugging the numbers in (7 for x and 0 for y).

y = -5x + b

0 = -5(7) + b

0 = -35 + b

b = 35

Now let's plug the y-intercept back into the equation.

y = -5x + 35

Therefore, the equation is y = -5x + 35.

Hope this helped! If not, please let me know! <3

Answer:

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.

Step-by-step explanation:

can  you help me?

Answer:

25.748

Step-by-step explanation:

If you multiply 4.1 by 3.14, your answer comes out to 12.874. Multiply that by 2 and you get your answer of 25.748. Hope this helps.

Step-by-step explanation:

20n 20394848484848575

The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.

Force is the strength applied on an object with mass to change its state of motion.

The mass of the body is 10kg.

The force applied on the object is 40N.

The time for which the force is applied is 0.5 sec.

The impulse on the body is calculated by,

Impulse =  Force * Time

Impulse = 40 * 0.5

Impulse = 20 kg-m/s

The final speed of the body is given by

v = u + at

Assuming the initial speed = 0

v = at

Acceleration =  Force / mass

Acceleration = 40/10

a = 4 m/s²

v = 4 * 0.5

v = 2 m/s

The distance covered within the time interval is given by,

s = ut + (1/2) at²

s = (1/2) at²

s = (1/2) 4 * 0.5 *0.5

s = 0.5 m

To know more about Force

https://brainly.com/question/13191643

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Answer:

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours

The time Nate left his house is 8 : 40 am

After leaving his house, Nate drove 15 minutes to take his oldest daughter to the middle school . Therefore,

Then he drove ten minutes to take his two younger daughters to the elementary school. Therefore,

He drove twenty-five minutes to work. Therefore,

He arrived at work at 9:30 am. The time he left home can be calculated as follows:

Total time spent on the road = 15 + 10 + 25 = 50 minutes

Therefore,

Time he left home = 9:30 - 50 = 8 : 40 am

learn more on time here: https://brainly.com/question/25923001?referrer=searchResults

Answer:

2.68

Step-by-step explanation:

Answer: 7 months

Step-by-step explanation:

He started at 4 pounds so if he grew 3 pounds every month, it would take 7 months to grow 21 pounds. 21 pounds plus 4 pounds is 25 pounds.

Answer:

7 months

Step-by-step explanation:

3 times 7 is 21 than you add the original 4 and get 25 so therefore the answer is 7 months

Answer: E=15

Step-by-step explanation: If you add 13 and 2 it adds up to 15, so E would have to be 15

Answer:

15

Step-by-step explanation:

to solve this you would need to add 13 and 2 since it's inverse operation of subtraction which would give you 15 since 15-2=13

Answer:

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation:

[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]

[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]

[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation:

52 + 14 < 3x

66 < 3x

66/3 < x

22 < x

Answer:

x > 22

Step-by-step explanation:

52- 3x<-14

-3x < -14 -52

-3x < -66

x > 22

C: 2x+20=60

2x=40

x=20

D: 3x+10=100

3x=90

x=30

Answer:

X > 7

Step-by-step explanation:

4(x + 3) < 6x – 2

4x + 12 < 6x -2

-6x            -6x

-2x + 12 < -2

-12           -12

-2x < -14

-----     -----

-2         -2

x > 7

The < change because it was divided by a negative number

Answer:

6.32

Step-by-step explanation:

Answer: 6.32

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the x-intercept and y-intercept of the equation we need to understand what is an intercept. Intercept means to intersect/cut so x-intercept means the equation cuts the x-axis and y-intercept means the equation cuts the y-axis.

So if the equation cuts the x-axis the coordinate should be [tex](x,0)[/tex]  and if the equation cuts the y-axis the coordinate should be [tex](0,y)[/tex] , and since the equation satisfies these both points in other words these two points lie on the line they can be put into the equation. So here we go,

For x-intercept

[tex]x+2y=10\\x+2(0)=10\\x=10[/tex]

so the x-intercept is (10,0)

For y-intercept

[tex]x+2y=10\\0+2y=10\\2y=10\\y=10/2\\y=5[/tex]

so the y-intercept is (0,5)

I also have attached an example of how intercepts looks like you can take a look i plotted the graph an you can see our answers check out.

Answer:

2af+bf = 2af+bf

Step-by-step explanation

f(x) = 4x2 – 3x. =  x(4x−3)

Answer:

x = −2

Step-by-step explanation:

4x + 1 = x − 5

Subtract 1 from both sides

4x + 1 − 1 = x − 5 − 1

Simplify

4x = x − 6

Subtract x from both sides

4x −x = x − 6 − x

Simplify

3x = −6

Divide both sides by 3

[tex]{\frac{3x}{3}[/tex]=[tex]\frac{-6}{3}[/tex]

Simplify

x = −2