At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

The numbers are 15 and 9 .

Numbers are the basic foundation of mathematics. Numbers are used to represent quantity and used is basic arithmetic operations. Numbers can be categorized into a lot of different types such as real  or imaginary. Real numbers can be divided into integers , irrational numbers , whole numbers .The four basic arithmetic operations are multiplication , sum , division and subtraction.

Let us consider one of the given numbers be x .

Given the sum of the numbers is 21

therefore the other number = 21 - x

Now it is given that  [tex]\frac{3}{4}[/tex] of 1 number and [tex]\frac{2}{3}[/tex] of another number adds up to 15 .

∴ [tex]\frac{3}{4}[/tex] of x =  [tex]\frac{3}{4}x[/tex]  and  [tex]\frac{2}{3}[/tex] of another number =  [tex]\frac{2}{3}\times(21-x)[/tex]

Now the sum of the two new numbers is given as 15.

∴ [tex]\frac{2}{3}\times(21-x) +\frac{3}{4}x =15[/tex]

[tex]or, 14-\frac{2}{3}x +\frac{3}{4}x =15\\\\or, -\frac{2}{3}x +\frac{3}{4}x =15-14\\\\or, \frac{-8+9}{12} x=1\\\\or, \frac{1}{12}x = 1\\\\or, x=12[/tex]

So the other number is 21-12 = 9 .

Hence the two numbers are 15 and 9 .

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Answer:

-8/7/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5 2/3 +-3 1/9

-79/9 or - 8 7/9

Answer:

72 hours

Step-by-step explanation:

Answer:

j + 5 = s

a = l + 3

Step-by-step explanation:

Answer:

This is it sorry about the last one

Step-by-step explanation:

ithink I posted the wrong one

Answer:

Hope it help, and please give me Brainlest!

Step-by-step explanation:

I just know this one. I'm so sorry!

2x + 13= [tex]\sqrt{x} = 5[/tex]; x + 9 = -4; [tex]4^{3x + 2} = 4[/tex]

The value of x and y in the given figure is 14° and 23° respectively.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know vertically opposite angles are equal, and we also know that sum of all the interior angles of a triangle is equal to 180°.

∴ 47° + (2x + 13)° + (5y - 23)° = 180°.

47° + 13° - 23° + 2x + 5y = 180°.

2x + 5y = 143°...(i).

Now, We also know that when parallel lines are intersected by a transversal pair of alternate angles are equal and the sum of two adjacent angles is equal to 180°.

∴ 3x + (5y - 23)° = 180°.

3x + 5y = 157°...(ii)

Now subtracting eqn(i) from eqn(ii) we get x = 14°, and substituting the value of x in any of the equations we y = 23°.

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Answer:

Step-by-step explanation:

Step one:

given data

for train one

speed= 50miles per hour

for train two

speed= 60miles per hour

the total distance between both trains=275miles

Step two:

the expression for speed= distance/time

so that, distance= speed*time

let the time be t

we are going to combine both distances

train one distance =50t

train two distance =60t

Hence total distance

50t+60t=275

110t=1=275

t=275/110

t=2.5 hours

It will take 2.5 hours

Answer:

Smash, all the Wayyyyyyyyyyyy

Answer:

Hehe

Step-by-step explanation:

Answer:

angle 1 = angle 2 = 17 degrees

Answer:

25 + 0.55x ≤ 212

Step-by-step explanation:

Bart can only spend 212, hence the less than or equal to symbol. The cost of using the car must be at most 212, so 25 and 0.55x are on the same side. 0.55x represents the cost of driving an unknown amount of miles.

Answer:

A. 127º

Step-by-step explanation:

So we already know that the inside of a triangle is equal to 180º. We already have two of the angles so we can start by adding those together.

75 + 52 = 127

180 - 127 = 53

m∠A = 53º

Now, we also know that a straight line is equal to 180º so all we have to do now is subtract 53 from 180 to get the measure of ∠BAD

180 - 53 = 127

Answer:

0

Step-by-step explanation:

hope this helps :)

Given:

The International Space Station takes 644 minutes to orbit Earth 7 times.

To find:

The time taken by each orbit.

Solution:

Total time = 644 minutes

Total number of orbits =7

Now,

[tex]\text{Time taken be each orbit}=\dfrac{\text{Total time}}{\text{Number of orbits}}[/tex]

[tex]\text{Time taken be each orbit}=\dfrac{644}{7}[/tex]

[tex]\text{Time taken be each orbit}=92[/tex]

So, the required time is 92 minutes.

Therefore, you are correct and all options are incorrect.

Answer:

< P = 30

Step-by-step explanation:

PQR isosceles triangle

< R= 75

< P = 180 - ( 75 + 75 ) = 30

Answer:

12 beats per minute after 30minutes

Step-by-step explanation:

Since we are told by how much his heartrate increased in 20 minutes, we can simply calculate how much it increased in 10 minutes and add that amount to the current heart rate to know how much his heartrate increased after 30 minutes of working out. Since 10minutes would be half of the 20minutes we simply divide the beats per minute by 2.

8 / 2 = 4 beats per minute after 10 minutes

Now we simply add this to the beats per minute at the 20minute mark to calculate the beats per minute at 30minutes

8 + 4 = 12 beats per minute after 30minutes

Answer:

195 students are left-handed

Step-by-step explanation:

Here, we want to calculate the total number of students who are left-handed

Let the total number of students in the school be x

The total ratio is 8 + 3 = 11

8/11 * x = 520

8x = 11 * 520

x = (11 * 520)/8

x = 715 students

So the number of students who are left handed will be;

Total - number of right-handed students

That would be;

715-520 = 195

Answer:

(-3,2)

Step-by-step explanation:

It was correct on mine

The coordinate of A' after dilation of k = 1/3 is, (- 1, 2/3)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

⇒ AB undergoes a dilation of k = 1/3 centered at point (-3, 2).

Now,

The coordinate of A' after dilation of k = 1/3 is,

⇒ (1/3 × - 3, 1/3 × 2)

⇒ (- 1, 2/3)

⇒ (- 1, 0.67)

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Answer:

the one you have clicked is correct just took that quiz

Step-by-step explanation:

мой пипи действительно большой, и это круто

Answer:

k = -5

g = 6

Step-by-step explanation

1) First solve for k and plug that into the other equation to solve for g.

5g + 4k = 10

4k = -5g + 10

k = -5/4g + 2.5

2) Plug k into the other equation to solve for g

-3g - 5k = 7

-3g = 5k + 7

-3g = 5(-5/4g + 2.5) + 7         Use the distributive property

-3g = -6.25g + 12.5 + 7        Combine like terms and simplify

-3g = -6.25g + 19.5               Add 6.25g to both sides

3.25g = 19.5                          Divide 3.25 from both sides to find g

g = 6

3) Now we take this g and plug it into the other equation to find k

(we could also just plug it into this equation as well)

5g + 4k = 10

5(6) + 4k = 10

30 + 4k = 10

4k = -20

k = -5.

If we really wanted to doube check this then we could plug the k value into the equation we used to find the g value...

-3(6) - 5(-5) = 7

-18 + 25 = 7

So yes, k = -5 and g = 6.

Answer:Megan spent 0.15 pounds more on bananas than strawberries

Step-by-step explanation:

Step 1

Cost of bananas = 2 1/4 pounds of bananas for 0.80 per pound

2 1/4 x 0.80 = 1.8 pounds

Cost of strawberry= 1 1/2 pounds of strawberries for 1.10 per pounds

1 1/2 x 1.10  = 1.65.

Step 2  how much  more means the difference between the cost of bananas and strawberry .

 Therefore, we have Cost of bananas - cost of strawberries

1.80 pounds - 1.65 pounds=0.15

Megan spent 0.15 pounds more on bananas than strawberries

Answer:

9.8

Step-by-step explanation:

You would see if the hundredths place is less that 5 or 5 and up. In this case it it less, so it would be 9.8 or 9.80

Answer:

30x=48+22×

30x -22x=48

8x=48

x=6

Answer: I believe the answer is A.

Explanation: hope this helps

Answer:

The expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]

Option D is correct.

Step-by-step explanation:

We need to solve the expression [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex]

Since it is a fraction, and all terms are multiplying with each other we can cancel out common terms.

Since x-4 is both in numerator and denominator so, it will be cancelled out and we will get:

[tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}\\=\frac{(x+2)}{(x+4)}[/tex]

So, the expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]

Option D is correct.

Answer:

D.) x+2/x+4

I took the quiz :)

Step-by-step explanation:

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778