If the scale factor is 1:5 and OG = 45, find AR.

Answer:

Total pigs in the farm = 15

Total chickens in the farm = 25

Step-by-step explanation:

Given - Chickens and pigs are raised on a farm. Between the two classes

             of animals there are 40 heads and 110 legs.

To find - How many animals are there of each class?

Proof -

Given that , there are two types of animals - Chicken and pigs.

Let Chicken is represented by c

      Pigs are represented by p

Given , there are 40 heads and 110 legs.

As we know that both chicken and pigs has 1 head

⇒1c + 1p = 40

⇒c + p = 40                 .........(1)

Also, we know

Chicken has 2 legs whereas pigs have 4 legs

⇒2c + 4p = 110

Divide the whole equation by 2, we get

⇒c + 2p = 55                 .............(2)

∴ we get

c + p = 40                 .........(1)

c + 2p = 55                 .............(2)

subtract equation (1) from equation (2) , we get

c + 2p - ( c+ p) = 55 - 40

⇒c + 2p - c - p = 15

⇒p = 15

Now,

Put the value of p in equation (1), we get

c + 15 = 40

⇒c = 40 - 15

⇒c = 25

∴ we get

c = 25

p = 15

So, Total pigs in the farm = 15

Total chickens in the farm = 25

Answer:

x= 1.25    y = 1.75

Step-by-step explanation:

8/5 = 10/ (5+x)

Cross multiplucation

 8(5+x) = 5x10

40 + 8x = 50

8x = 10

x = 1.25

          8/7  =  10/ (7+y)

           Cross multiplication

        8(7+y) = 10x7

          56+8y = 70

          8y =  14

             y = 1.75

Answer:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s): (18,0)

y-intercept(s): (0,-3)

Step-by-step explanation:

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Answer:C

Step-by-step explanation:

Answer:

A) 252pi

Step-by-step explanation:

The volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex]

First, let's find the diameter of the large sphere.

If D=12, then R=6

[tex]\frac{4}{3}\pi 6^{3}=288\pi[/tex]

Then, we need to find the volume of the smaller sphere

[tex]\frac{4}{3}\pi 3^{3}=36\pi[/tex]

[tex]288\pi -36\pi =252\pi[/tex]

Hope this helps :)

[tex]-noorati[/tex]

Answer:

A= 9

D=10

Step-by-step explanation:

a=d-1

9=d-1

10=d

Answer:

option d. 6/10

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

Answer:

it would have to be 3/5 i think but i actually think option 1 or 4

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

x * 3 = 6 → is your equation to solve for x

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

x = 2

Answer:

Distance between the two planes after 1 hour = 410 miles

Step-by-step explanation:

Given - A plane leaves and flies due north at 280 miles per hour. At

            the same time another plane takes off from the same airport

            and flies due east at a speed of 300 miles per hour.

To find - What is the distance between the two planes after 1 hour ?

Proof -

Given that , Plane 1 flies due north at a speed of 280 miles per hour.

So,

Total distance traveled in 1 hour = 280 miles

Also,

Plane 2 flies due east at a speed of 300 miles per hour.

So,

Total distance traveled in 1 hour = 300 miles.

The diagram is as follows :

Now,

We have to find the distance after 1 hour i.e. AC

In Triangle ABC ,

By using Pythagoras theorem, we get

AC² = BC² + AB²

⇒AC² = (300)² + (280)²

⇒AC² = 90,000 + 78,400

⇒AC² = 168,400

⇒AC = √168,400

⇒AC = 410.366 ≈ 410

∴ we get

Distance between the two planes after 1 hour = 410 miles

Answer:

8 liters

Step-by-step explanation:

If the sum of 2 + x = 10,

then you subtract 10 - 2 = x,

to get x = 8

Answer:   -3

Step-by-step explanation:

-4x  - 10 < 2

-4x < 12

x > -3

Answer:

1. 1 burger takes 4 minutes

2. 1 painting takes 4 days

Step-by-step explanation:

Answer:

y = 35x + 200

Step-by-step explanation:

It's 35 per month (x) and you add the start no matter what so that's the 200.

Answer:

x=12

Step-by-step explanation:

We know that a right angle is 90 degrees. So we can make the equation [tex]35+4x+7=90.[/tex] Now, we can solve fore X! We can combine 35 and 7 to make the equation [tex]4x+42=90[/tex]. In order to isolate x we have to subtract 42 from both sides, getting us the equation [tex]4x=48.[/tex] Now, in order to isolate x we must divide each side by 4, getting us the equation [tex]12=x[/tex].  To prove that x=12, we can subsitute x for 12.  This means that we can do [tex]35+4(12)+7=90. Or, 35+48+7 =90,[/tex] which simplified, is 90=90, making x=12 true. Hope this helps :)

Answer:

11.3(7)+10.7(8)=79.1+85.6

=164.7

Answer:

C

Step-by-step explanation:

The strip patterns new image and pre image orientation are vertical so anything that has horizontal translation in it is wrong

Answer:

so 4 divided into 5 parts

this is represented as 4 out of 5 or 4/5 in fraction form

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Answer:

[tex] \boxed{ \tt{the \: adult \: giraffe \: is \to \: 14 \: ft}}[/tex]

The height of the giraffe standing near it which casts a shadow of 7 feet is 14 feet.

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

Actual height of the tree = 18 feet

Height of the shadow = 9 feet

Actual height = 2 × Shadow height

So, here the scale factor is 2.

Given Shadow height of the giraffe = 7 feet

Actual height of the giraffe = 2 ×  height of shadow of the giraffe

                                             = 2 × 7 feet

                                             = 14 feet

Hence the height of the giraffe is 14 feet.

Learn more about Scale Factor here :

https://brainly.com/question/30215119

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Answer:

Step-by-step explanation:

a.

$20,123.54

c.

$21,785.00

b.

$20,944.56

Answer:

this is a function

Step-by-step explanation:

there are no duplicates on the y axis so it is a function

Answer:

B'C' = 2 units

Step-by-step explanation:

The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).

Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:

A'B'/AB = B'C'/BC

Substitute

8/24 = B'C'/6

Cross multiply

24*B'C' = 8*6

24*B'C' = 48

B'C' = 48/24

B'C' = 2 units

Answer:

y = -3x + 5

Step-by-step explanation:

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=-3x + 5 tells us that the slope of the line is -3 and the y-intercept is at (0,5). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer:

1.375 or 1 and 3/8

Step-by-step explanation:

55 divided by 20 is 2.75. Then multiply 2.75 by 1/2

Answer:

0 - r = the graph shifts r units left

Step-by-step explanation:

When you have 2 x intercepts of 0, -r then you shift left to negative

Answer:

4 ampers

Step-by-step explanation:

WHEN 12 VOLTS ARE APPLIED, THE CURRENT IS 4 AMPERES.

The current when 29 volts are applied is; 4.14 amperes.

According to the question;

The electric current I, in amperes, in a circuit varies directly as the voltage V.

In essence;

I/V = constant.

Therefore;

I1/V1 = I2/V2

where;

Therefore; we have;

By cross product;

I2 = 4.14 amperes.

In conclusion, the current when 29V voltage is applied is; 4.14 amperes.

Read more:

https://brainly.com/question/11694798