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Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :

1.)

8 : 6

Reducing each side of the ratio by an half(1/2) :

8 × ½ : 6 × ½

4 : 3

2.)

15 : 3

Reducing each side of the ratio by ⅓:

15 × ⅓ : 3 × ⅓

5 : 1

3.)

12 : 6

Reducing each side of the ratio by (one-third) ⅓:

12 × ⅓ : 6 × ⅓

4 : 2

4.)

11 : 7

Increasing the proportion by 4 :

11 × 4 : 7 × 4

44 : 28

5.)

25 eggs : 3 hens

Increasing the number of hens by 3, then egg production will also triple

25 eggs × 3 : 3 hens × 3

75 eggs to 9 hens

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Answer:

The answer is 144 feet and it will be in the air for 6 sec

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

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Answer:

1. divide 1.50 by 3 to get the unit cost of a yard

of ribbon. the ansvwer is .75.

2. you must multiply .75 by 5 to get 3.75 to find the cost of 5 ribbons

Step-by-step explanation:

final answer $30

Answer:

The Y intercept is -10

The X intercept is 3

Answer: 150,000 x3=450000 and 40,000-25,000=65000

65,000+450,000=515000 thats your answer

Step-by-step explanation:

<ABC = [ 52° ]

not sure but

hope it helps!

Answer:

[tex] \: [/tex]

∆ ABC → 132 °

Step-by-step explanation:

Given : ∠DBC = 48°

Now we are going to use the property that the sum of angles of a linear pair always equal to 180∘

Therefore,

∠ABC + ∠DBC = 180°

∠ABC + 48 ° = 180° [ ∠DBC = 48° ]

∠ABC = 180° - 48°

∠ABC = 132°

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]

Answer:

38+9.49x < or = 100

Step-by-step explanation:

Answer:

(-4, 3)

Step-by-step explanation:

You have to go -4 on the x-axis, and +3 on the y-axis

Answer:

O B. Exactly one

Step-by-step explanation:

The plane ABCD contatins the points ABCD. Three points create a plane, so if you add a fourth point, usually one plane will go through them.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

f(x) = - x - 5

Step-by-step explanation:

- x - y = 5 ( multiply through by - 1 )

x + y = - 5 ( subtract x from both sides )

y = - x - 5 , that is

f(x) = - x - 5

Answer:

x = [tex]\frac{y+c}{m}[/tex]

Step-by-step explanation:

Making it the subject means "setting the equation equal to it"

y = mx – C

y + c = mx

[tex]\frac{y+c}{m}[/tex] = x

x = [tex]\frac{y+c}{m}[/tex]

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

Step-by-step explanation:

Answer:

14q + 60

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

Answer:

24.

Step-by-step explanation:

The diameter of the glass = 3*2 = 6.

So 36/6 = 6 glasses can be fitted along the length,

- and 24/6 = 4 can be fitted along the width of the tray.

So the number of glass that can fit on the tray = 6*4 = 24.

Answer:

-5=x

Step-by-step explanation:

Angle 105º = (110+x)º

Solve for x.

105=110+x

Subtract 110 from both sides of the equation.

-5=x

Hope this helps :)

Answer:

A definite integral has limits of integration and the answer is a specific area. An indefinite integral returns a function of the independent variable(s).

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]

Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.

[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]

HOPE THIS HELPS :D

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.

We know that if two angles of any triangle are the same then their opposite sides are also the same.

Let each side length of x ft. Then by the Pythagoras theorem. we have

[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example.

Step-by-step explanation:

Your welcome

Answer:

the answer would be 1,-8

Answer:

outlier

Step-by-step explanation:

it is way to far away to be any of those other options. that means it is an outlier.

Answer:

3a+4+4+6+2a

5a+14

Step-by-step explanation:

hope i got it right

Step-by-step explanation:

we know,

perimeter = sum of all sides

so a/q perimeter of the given figure is

→ 3a + 4 + 4 + 6 + a + 4 + 2 + 2a

→ 6a + 20

therefore, perimeter of the given figure is 6a + 20.

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Here is ur perfect answer

Answer:

p = [tex]\frac{2q}{2-q}[/tex]

Step-by-step explanation:

p - q = [tex]\frac{pq}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

2(p - q) = pq ← distribute parenthesis on left side

2p - 2q = pq ( subtract pq from both sides )

2p - pq - 2q = 0 ( add 2q to both sides )

2p - pq = 2q ← factor out p from each term on left side

p(2 - q) = 2q ← divide both sides by (2 - q)

p = [tex]\frac{2q}{2-q}[/tex]

Answer:

63

Step-by-step explanation:

Answer: 48oz = $1.68, 32oz = $0.80

Step-by-step explanation:

Let A be the price of the 48oz bottle and B the price for the 32oz bottle.

We are told that:

A = B + $0.88

------

The unit price is defined as the $ per oz.  

Let Au be the unit price for the 48oz size, and

Bu is the unit price for the 32oz size.

[This means that Au*(48) = A and Bu*(32) = B]

We are told that:

Bu + $0.01 = Au

=======

Find the cost of each.

A = B + $0.88

Au*(48) = Bu*(32) + $0.88

Substitute (Bu + $0.01) for Au

(Bu + $0.01)*(48) = Bu*(32) + $0.88

(48Bu + $0.48) = Bu*(32) + $0.88

16Bu + $0.48 =  $0.88

16Bu  =  $0.40

Bu = $0.025

The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle

B = $0.80

Since A = B + $0.88

A =  $0.80 + $0.88

A = $1.68

The unit prices of 48-oz bottle and 32-oz bottle are $0.0183  and $0.01.

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given, 48-oz bottle is $0.88 more than the 32-oz bottle.

That means,

0.88 > 32 x ( 0.01)

0.88 > 0.32

And the unit price of the 32-oz bottle is $0.01 more than the unit price of the 48-oz bottle.

Unit price of 48-oz bottle,

= 0.88 / 48

= 0.0183

Unit price of the 48-oz bottle is $0.0183.

Therefore, $0.0183  and $0.01 are the unit prices of 48-oz bottle and 32-oz bottle.

To learn more about the division;

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