The zoo charges $4 admission fee
along with a $2 charge for each
exhibit you visit. what is the initial value, rate of change, and table values

The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Similar figures are those figures whose ratio of the length of sides are proportional.

Similar figures only differ in size, their shape is equal.

The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.

So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.

Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is  [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

Learn more about Parallelogram here :

https://brainly.com/question/29147156

#SPJ1

Answer:The first one is 16 and the second one is 18

Step-by-step explanation:

70ft is the answer I think

Answer:

5x

Step-by-step explanation:

If the blank were to be occupied with 5x there would be no solutions

Observe...

5x - 8 = 5x + 2

* subtract 5x from each side *

5x - 5x cancels out

5x - 5x cancels out

we're left with -8 = 2

which is not true

Hence if the blank = 5x the equation will have no solution

Answer: 5 and 7.

Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.

First I made a list of numbers that when multiplied equal 35

Then I went through the list and took out all the options that were not one number being 2 more than the other.

The only option left is 5 x 7 (5*7)

what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?

The numbers are 5 and 7.

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

let the first number be 'x'

another number = x+2

According to question,

x(x+2)= 35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= +5, -7

Hence, the numbers are 5 (x) and 7 (x+2).

Learn more about equation here:

https://brainly.com/question/2263981

#SPJ2

Answer:

D

Step-by-step explanation:

it's self explanatory

12 is being decreased by 2x (x is a variable for a number)

Answer:

4th

Step-by-step explanation:

string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.

Answer:

4 1/2 cups of ice cream

Step-by-step explanation:

since the denominators are the same, we look at the numerator.

2 x 4 = 8 out of 9 cups

Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~  [tex]\frac{3}{15}[/tex] (or  [tex]\frac{1}{5}[/tex], simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~  [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

Answer: 74 degrees and 16 degrees

Step-by-step explanation:

A pair of complementary angles add up to 90 degrees.

If we know that one of the two angles is 58 degrees less than the other, we can solve the algebraic equation: x + (x-58) = 90, where (x) is the measure of the one angle, and (x-58) is the measure of the other angle.

x + x-58 = 90 is the same as 2x -58 = 90.

Adding 58 to both sides gives 2x = 148,

and dividing both sides by two gives x = 74.

We now know that one angle is 74 degrees, and the other angle is (74-58) degrees. This gives two angles of 74 and 16 degrees. They both add up to 90 degrees, so they are complementary angles.

Answer:

1. Axis of Symmetry: x=-4, Vertex: (-4, -6)

2. Axis of Symmetry: x=2, Vertex: (2, 8)

Step-by-step explanation:

Answer:

56m

Step-by-step explanation:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier (0,0)(0,0)(5,0)\qbezier (0,0)(0,0)(0,3)\qbezier (0,3)(0,3)(5,3)\qbezier (5,3)(5,3)(5,0)\qbezier (0,3)(5,0)(5,0)\qbezier (0,0)(0,0)(5,3)\put (-0.4,-0.2){\sf D}\put (-0.2,3.1){\sf A}\put (5.2,3.1){\sf B}\put (5.2,-0.2){\sf C}\put (2.4,1){\sf O}\put (2,-0.4){\bf 50\:m}\put (-1,1.5){\sf 25\:m}\end {picture}[/tex]

Length=50m

Breadth=25m

Diagonal be x

[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 25m}\put(2.8,.3){\large\bf 50m}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $\Theta$}\end{picture}[/tex]

So

➝x^2=50^2+25^2

➝x=√(50)^2+(25)^2

➝x=√2500+625

➝x=√3125

➝x=55.9m

➝x=56m(approx)

Answer:

If your doing it on usa tp and have a through e is b and e

Step-by-step explanation:

The two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Given the following data:

To convert the value of speed in feet per seconds to kilometers per hour:

Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).

Conversion:

1 ft/s = 1.09728 km/hr.

156 ft/s = X km/hr.

Cross-multiplying , we have:

[tex]X=156 \times 1.09728[/tex]

X = 171.1757 km/hr.

Note:

1 feet = 12 inches.

156 feet = [tex]156 \times 12[/tex] = 1872 inches.

Next, we would convert this value to inches per minute:

156 ft/s = [tex]1872 \times 60[/tex] = 112,320‬ inches per minute.

Therefore, the two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Read more on speed here: https://brainly.com/question/10545161

Answer:

9.40$

Step-by-step explanation:

Answer:

answer = -29

Step-by-step explanation:

2*-3*4-5

Answer:

-29

Step-by-step explanation:

=2(-3)(4)-5

=-6(4)-5

=-24-5

=-29

Hope this helps.

Answer:

12 cups

Step-by-step explanation:

1 quart is 4 cups, so 4 x 3= 12 and 1 x 3 = 3.. Good Luck!

Answer:

17(x-2)

Step-by-step explanation:

Given the expression

17x - 34

We are to factorize it

Get their factors

17x = 17 * x

34 = 17 * 2

Since 17 is common to both factors, hence 17 is the GCF

17x - 34 = 17(x - 2)

Hence the equivalent expression is 17(x-2)

Answer:

49

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?

Let x = number correct answers

because school a , gives the same correct and wrong answers, their equation can be represented as :

165 - 5x + 12x =

165 + 7x

School b gives no wrong answer. their equation can be represented as

65 + 12x

to fing the number of correct answers given, equate the two equations

165 + 7x = 65 + 12x

collect like terms

165 - 65 = 12x - 7x

100 = 5x

x = 20

Answer:

12) x = 49.5

13) x = 8.5

14) x = 44.8

15) x = 4.6

Step-by-step explanation:

We can solve for the missing side lengths using trigonometry

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For #12

We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.

That being said we want to create an equation to solve for x

[tex]tan(68)=\frac{x}{20}[/tex]

Now we solve

* multiply each side by 20 *

[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]

we're left with x = 49.5

It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.

For 13)

[tex]tan(62)=\frac{16}{x} \\[/tex]

*multiply each side by x*

[tex]xtan(62)=16[/tex]

*divide each side by tan(62)

[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]

we're left with x = 6.5

For 14)

[tex]tan(15)=\frac{12}{x}[/tex]

multiply each side by x

[tex]xtan(15)=12[/tex]

divide each side by tan15

[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]

we're left with x = 44.8

For 15)

[tex]tan(74)=\frac{16}{x}[/tex]

multiply each side by x

[tex]xtan(74)=16[/tex]

divide each side by tan(74)

[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]

we're left with x = 4.6

Answer:

452.2

Step-by-step explanation:

r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2

Answer:

452.4in³

Step-by-step explanation:

diameter= 12in.

radius= 12÷2

= 6in.

volume= πr²h

=π×6²×4

= π×36×4

= 113.097336×4

= 452.389

≈ 452.4in³

Answer:

-8.23

Step-by-step explanation:

If Lori had $126.89 in her bank account and she deposited $21.49, she would be adding that to the amount of money in her bank account.

126.89+21.59= 148.48

Then subtract the amount of money the repairs costed.

148.48 - 156.61 = -8.23

Therefore Lori would have a balance of -$8.23.

Answer:

Lori had $126.89 in her bank account.

She deposited $21.49 into it and then wrote a check for her car repairs for $156.61  

126.89+ 21.49=148.38

148.38-156.61=−8.23

the answer is -8.23

Answer:

Sorry. What's the question?

Answer:

12:6, 9:45

Step-by-step explanation:

Ratios I think you are asking

Answer:

the LCM of those would be 15.

Answer:

If s₃ is the length of the 3rd side, the possible values are in the interval.

5 < s₃ < 19

Step-by-step explanation:

For a triangle, we know that the sum of any two sides is always larger than the other side.

So if a triangle has 3 sides:

s₁, s₂, and s₃, we have:

s₁ + s₂ > s₃

s₁ + s₃ > s₂

s₂ + s₃ > s₁

In this case, we know that two sides are:

s₁ = 7

s₂ = 12

And we want to find the possible values of s₃.

Then if we use the above inequalities, we get:

7 + 12 > s₃

7 + s₃ > 12

12 + s₃ > 7

With the first one we get:

19 > s₃

Now we can rewrite the other two as:

s₃ > 12 - 7 = 5

s₃ > 7 - 12 = -5

The first one is more restrictive than the second:

s₃ > 5 > -5

So we can use only the first one.

Then the two inequalities are

s₃ > 5

s₃ < 19

Then the range is:

5 < s₃ < 19

This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)

Answer:

A. 80

Step-by-step explanation:

Count the first top half and you get 40 and you will know the bottom half is 40

which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.

V= l*w*h

V= 5*4*4

V= 80

Hope this Helps! :)

Have a nice day! :)

Answer:

9.2h+50

Step-by-step explanation:

im not sure if this is correct and im only in middle school but i had this same quetsion and got that snwer

Answer:

Heather

Step-by-step explanation:

If you use pythagorean theorm you can set up the equations for each girl.

For Heather, 12^2+5^2=13^2 and you determine if this is true. Each side equals 169 so therefore the equation is true.