show that the ratios 14/18 and 28/36 form a proportion by finding a common multiplier.

Step-by-step explanation:

t is time since 2010. so,

the population prediction for 2016 is :

p= 400 ( 2016-2010)+3000

p= 400 (6) + 3000=5400

the number of restaurant prediction for 2016 is.

R=6(2016-2010)+35

R=6 (6)+35=71

so, per capita (per person) there would be:

71 restaurant for 5400.

people that is :71/5400 or 0.0131 restaurant per person.

per restaurant there would be,5400/71 or 76.056 per restaurant.

population corresponding to time (t).

=( R/ P) = (6t + 35). / 400t + 3000, where t= 2016-2010= 6 years

= 71/5400

= 0.0131

Restaurant per capita

R/P = (6t+35) / (400t + 300)

t= 2016-2010 =16

R/P = (6.16+35) /(400.16+3000)

= 131 (6400+3000)

=85/9400

=0.009042

Answer:

Answer is 75.

Step-by-step explanation:

I hope it's helpful!

Answer:

D. The area of the triangle is 9 square feet, because the area of the rectangle is 18 square feet.

Step-by-step explanation:

Answer:

A. 113cm³

Step-by-step explanation:

Finding the volume with diameter,

[tex]v = \frac{1}{6 }\pi {d}^{3} [/tex]

[tex]v = \frac{1}{6} \times \frac{22}{7} \times {6}^{3} [/tex]

[tex]v = 113.14cm^{3} [/tex]

to the nearest whole number

[tex]v = 113 {cm}^{3} [/tex]

Answer:

113 cm^3

Step-by-step explanation:

I Just took the quiz:)

Answer:

11.2

Step-by-step explanation:

The answer is 11.2

11.2*.25=2.8

11.2-2.8=8.4

Answer:

AB = 5/2 A'B'

Step-by-step explanation:

the other answers:

2)    (−1, 3/2)

3)    8 inches

4)    The scale factor is between 0 and 1

5)     (8, −4) and (−4, −12)

I just took the quick check, these are the answers. I know you already took it so this isn't helpful but if anyone else needs it^^

Answer:

20°

Step-by-step explanation:

In circle with center O, PS is diameter.

[tex] m\angle PRS =90\degree [/tex]

(angle inscribed in semicircle)

PQRS is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

[tex] \therefore m\angle QPS + m\angle QRS = 180\degree [/tex]

[tex] \therefore (x\degree +25\degree) +(45\degree +90\degree) = 180\degree [/tex]

[tex] \therefore x\degree +25\degree + 45\degree +90\degree = 180\degree [/tex]

[tex] \therefore x\degree +160\degree = 180\degree [/tex]

[tex] \therefore x\degree = 180\degree-160\degree [/tex]

[tex]\huge\red {\therefore x\degree = 20\degree} [/tex]

Answer: a

Step-by-step explanation:

Took test

Answer:

x=19

Step-by-step explanation:

20/36=30/(x+5+30)

20(x+35)=30(36)

20x+700=1080

20x=380

x=19

Answer:

B only

Step-by-step explanation:

In A and in C, only the angles of one triangle are congruent to the corresponding angles of the other triangle. That proves similar triangles but not necessarily congruent triangles.

Definition of congruent triangles:

Two triangle are congruent if all angles of one triangle are congruent to all corresponding angles of the other triangle and all sides of one triangle are congruent to all corresponding sides of the other triangle.

That happens only with the triangles in B.

Answer: B only

Out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.

Two triangles are said to be congruent if they are exactly the same i.e. corresponding sides, as well as corresponding angles, are equal.

A)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.

B)Triangles shown are congruent because corresponding sides, as well as corresponding angles, are equal.

C)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.

Hence, out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.

To get more about congruency visit:

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Answer:

sSS Congruence Postulate

The answer is SSS Congruence Postulate

Step-by-step explanation:

Answer:

Step-by-step explanation:

nth term = 0.6 × 5ⁿ⁻¹

a₆ = 0.6 × 5⁵ = 1875

The sixth term of the sequence is [tex]3,125.6[/tex]

GIven the geometric seqence 0.6, 3, 15, 75, .

The nth term of the sequence is expreessed as [tex]T_n = ar^{n-1}[/tex]

Given the following

a = 0.6

r = 5

n = 6

Get the nth term

[tex]T_n= 0.6(5)^{n-1}[/tex]

For thr sixth term:

[tex]T_6= 0.6(5)^{6-1}\\T_6= 0.6(5)^5\\T_6= 3,125.6[/tex]

Hence the sixth term of the sequence is [tex]3,125.6[/tex]

Learn more on geometrc sequence here: https://brainly.com/question/1509142

Answer:  Marty would receive $69.00.

Step-by-step explanation:

15% is 9 of 60.

Answer:

A. Yup. A.

Step-by-step explanation:

Answer $390

Step-by-step explanation:

Answer:

$390

Step-by-step explanation:

First Roberto works 32 hours at 6.50 per hour. At that time, he earn 32*6.5 = $208. Then he works 8 hours at a time and a half. This means that his pay rate is 50% more, or 6.5*1.5 = $9.75 per hour. Since he worked 8 hours at this pay rate, he earns 8*9.75 = $78. And then he works 8 hours double time. This means his pay rate was doubled during that duration. 6.5*2 = 13, 13*8 = $104.

Total: 208 + 78 + 104 = $390

Answer: y=8

Step-by-step explanation: 4y-4+3y=52

Answer:

15

Step-by-step explanation:

a) The height of the real boat is 15 feet and the scale model is 3 inches

b) The scale model is 9 inches , and the real height is H = 45 feet

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The proportion of scale model of the boat to the real boat is 1 : 5

Now ,

a)

The height of the real boat is 15 feet and the scale model is k inches

From the proportion , we get

1 / 5 = k / 15

Multiply by 15 on both sides , we get

k = 3 inches

b)

The scale model is 9 inches , and the real height is H

From the proportion , we get

5 / 1 = H / 9

Multiply by 9 on both sides , we get

H = 45 feet

Hence , the proportion is solved

To learn more about proportion click :

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Answer:

D

Step-by-step explanation:

Left to right so it is KM (eliminate B and C). It isn't A because the line doesn't continue to the left through point A, so it is D.

Answer:

x = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

x + 8 = 3(x - 7) - 5

Step 2: Solve for x

Answer:

17

Step-by-step explanation:

X+8=3(x-7)-5

x+8=3x-21-5

x+8=3x-26

8=2x-26

34=2x

Answer:

I THINK it would be 11.

Answer:

Jill lost 1/3

Bill lost 1/6

and Jack lost 1/4

Make a common denominator -  let's use 12

Jill lost 4/12

Bill lost 2/12

Jack lost 3/12

Add them together = 9/12

reduce by dividing by 3.

total of 3/4 spilt

48 divided into 4 parts then multiplied by 3 of those parts

48 / 4 * 3 = 36

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:74

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

i just finished this practice

Answer:

98 in³

Step-by-step explanation:

I just did the practice with a 100 percent and all answers correct first try :P

Answer:

x=-3, y=0. (-3, 0).

Step-by-step explanation:

2x+6y=-6

4x-3y=-12

---------------

-2(2x+6y)=-2(-6)

4x-3y=-12

---------------------------

-4x-12y=12

4x-3y=-12

----------------

-15y=0

y=0/-15=0

2x+6(0)=-6

2x=-6

x=-6/2

x=-3

1.5(4) = 6

jess used 6 cups of rice

Answer:

3 : 10

Step-by-step explanation:

9514 1404 393

Answer:

  D. 12

Step-by-step explanation:

There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using the two upper-left points, we find the length of that side to be ...

  d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2

Similarly, the length of the lower-left side is ...

  d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2

Then the area of the rectangle is ...

  A = LW

  A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12

The area of rectangle ABCD is 12.

_____

Other methods include subtracting the area of the corner triangles from the area of the bounding square:

  5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12