Twelve skateboards have 48 wheels. What is the value of the ratio of skateboards to wheels, in simplest form?

We are given traingle ABC and Triangle DEF.

Angle <A is congruent to Angle <D

Angle <B is congruent to Angle <E

Angle <C is congruent to Angle <F.

If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.

By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.

Therefore, option C is correct option.

Answer:

Similar AA

Step-by-step explanation:

You have 3 $5s and 4 $1 bills. Hope this helps :)

You have 3 $5s and 4 $1 bills.

Hope this helps you, if it does, please mark brain! <3

-SHOBE-

48 children and 96 adults

let x be the number of children then number of adults = 2x and

x + 2x = 144

3x = 144 ( divide both sides by 3 )

x = [tex]\frac{144}{3}[/tex] = 48

There are 48 children and ( 2 × 48 ) = 96 adults

There are 48 children and 96 adults in line.

To find how many children and adults are in line, we can use algebraic equations and solve for each variable. Let's assume the number of children in line is x. Since there are twice as many adults as children, the number of adults in line would be 2x. According to the given information, the total number of people in line is 144. Therefore, we can set up the equation x + 2x = 144. Simplifying the equation, we get 3x = 144. Dividing both sides by 3, we find x = 48. So, there are 48 children and 2 * 48 = 96 adults in line.

To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, substitute the x and y values of each ordered pair into the inequality and check if it is satisfied.

To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, we substitute the x and y values of each ordered pair into the inequality and check if the inequality is satisfied:

Therefore, the correct answers are (6, 1), (0, -3), and (2, -2).

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D, Each x value has one and only one y value.; This is because if an x-value repeats itself then it is not a function. You can test this on a graph by drawing a vertical line on it. If the vertical line intercepts the line more than once anywhere on the graph, then it is not a function.

Answer:

Each x value has one and only one y value.

Step-by-step explanation:

y = f(x) can be called a function if, and only if

f(a) = f(b) means that a = b.

That is, each x value has one and only one y value.

y = 4 - 6x

f(a) = f(b)

4 - 6a = 4 - 6b

6b = 6a

b = a

So the correct answer is:

Each x value has one and only one y value.

Answer:

B is the correct answer.

The function that passes through the points (2, 15) and (3, 26) is B) y = 11x - 7.

The function that passes through the given points is B) y = 11x - 7.

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Final answer:

To solve the word problem, subtract 3 from 8 to find the number of Dalmatians Sarah has, then add that number to Joe's 8 Dalmatians to determine the total number of Dalmatians they have together, which is 13.

Explanation:

To solve the word problem presented, we need to perform two primary operations: subtraction and addition. Joe has 8 Dalmatians, and Sarah has 3 fewer Dalmatians than Joe.

First, we determine how many Dalmatians Sarah has by subtracting 3 from 8. Once we know how many Dalmatians Sarah has, we add that number to Joe's 8 Dalmatians to find out the total number they have together.

Step 1: Calculate the number of Dalmatians Sarah has.
Sarah's Dalmatians = Joe's Dalmatians - 3
Sarah's Dalmatians = 8 - 3
Sarah's Dalmatians = 5

Step 2: Calculate the total number of Dalmatians they have together.
Total Dalmatians = Joe's Dalmatians + Sarah's Dalmatians
Total Dalmatians = 8 + 5
Total Dalmatians = 13

Therefore, Joe and Sarah have a total of 13 Dalmatians together.

In order for the data set to represent a function, there can be no duplicates of the first value.

A. 1 is used as the first value more than once       it is NOT a function

B. 3 is used as the first value more than once       it is NOT a function

C. no first number is used more than once            it IS a function

D. 3 is used as the first value more than once       it is NOT a function

Answer: C

Answer:

The coefficient of the squared expression in the parabolas equation will be 5.

Step-by-step explanation:

The vertex form of parabola is:  [tex]y=a(x-h)^2 +k[/tex] , where [tex](h,k)[/tex] is the vertex point and [tex]a[/tex] is the coefficient of [tex]x^2[/tex] term.

The vertex is given as [tex](3,-2)[/tex]. That means, [tex]h=3[/tex] and [tex]k=-2[/tex]

So, the vertex form will be:  [tex]y=a(x-3)^2-2[/tex]

Given that, when the x-value is 4, the y-value is 3. So, plugging these values into the above equation, we will get.....

[tex]3=a(4-3)^2-2\\ \\ 3=a(1)^2-2\\ \\ a=3+2=5[/tex]

Thus, the coefficient of the squared expression in the parabolas equation will be 5.

Answer:

The roots are [tex]-3,-2,3[/tex]

Step-by-step explanation:

Let [tex]f(x)=x^3-2x^2+5x-6[/tex] and [tex]g(x)=-4x^2+14x+12[/tex].

The graph of the two functions are in the attachment.

The x-values of the points of intersection are the roots of the polynomial equation.

[tex]x^3-2x^2+5x-6=-4x^2+14x+12[/tex]

The roots are

[tex]-3,-2,3[/tex]

Answer:

-3,-2,3

Step-by-step explanation:

edge

"how long..." is asking for time (t).  "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground.  Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... or by using the quadratic formula. With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

   a=-16   b=60  c=3

[tex]t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}[/tex]

[tex]t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}[/tex]

[tex]t = \frac{-60 +/- \sqrt{3792} }{-32}[/tex]

[tex]t = \frac{-60 +/- 61.6}{-32}[/tex]

[tex]t = \frac{-60 + 61.6}{-32}[/tex]   or   [tex]t = \frac{-60 - 61.6}{-32}[/tex]

[tex]t = \frac{1.6}{-32}[/tex]        or     [tex]t = \frac{-121.6}{-32}[/tex]

   t = -0.05            or     t = 3.8           disregard the negative

Answer: 3.8 seconds

Answer:

Infinitely many.

Step-by-step explanation:

y = 3x + 4

2y = 6x + 8

Basically you would fill in the variable for y into the second equation.

2 (3x + 4) = 6x + 8

Multiply 2 by the part in the parenthesis.

2 * 3x = 6x

2 * 4 = 8

Set up the equation and solve

6x + 8 = 6x + 8

Because the sides are the same, they cancel each other out. When two sides equal the same variable they have infinitely many solutions.

answer B or 1/6  should be right.

Answer:  The correct option is

(B) [tex]\dfrac{1}{6}.[/tex]

Step-by-step explanation:  We are given to find the slope of the straight line shown in the graph.

From the graph, we see that the line passes through the points (-6, 3) and (12, 6).

The SLOPE of a line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Therefore, the slope of the given line is

[tex]m=\dfrac{6-3}{12-(-6)}=\dfrac{3}{12+6}=\dfrac{3}{18}=\dfrac{1}{6}.[/tex]

Thus, the slope of the given line is [tex]\dfrac{1}{6}.[/tex]

Option (B) is CORRECT.

Answer:

Option C is the correct answer.

Explanation:

  Boxes collected by Mohammed = [tex]7\frac{1}{2}[/tex]

  Boxes collected by Isaac = [tex]8\frac{1}{3}[/tex]

  Boxes collected by Noah = [tex]4\frac{3}{4}[/tex]

  Boxes collected by Felix = [tex]3\frac{2}{3}[/tex]

 Total boxes collected = [tex]7\frac{1}{2}+8\frac{1}{3}+4\frac{3}{4}+3\frac{2}{3}[/tex]

                = [tex]\frac{15}{2}+\frac{25}{3}+\frac{19}{4}+\frac{11}{3}=\frac{36}{3} +\frac{49}{4} =\frac{97}{4}[/tex]

                = [tex]24\frac{1}{4}[/tex]

   Option C is the correct answer.

Since the amount of coworkers would be the variable in this expression, the equation would be 48-8x  

(X= number of coworkers)

We are given

a cubic polynomial function has the same zeroes

Let's assume that zeros as 'a'

so, we can write it as

[tex]f(x)=(x-a)^3[/tex]

now, we are given y-intercept

(0,-5)

at x=0 , y=-5

we can use it and then find 'a'

[tex]-5=(0-a)^3[/tex]

[tex]a=\sqrt[3]{5}[/tex]

now, we can plug it

and we get

[tex]f(x)=(x-\sqrt[3]{5})^3[/tex]..................Answer

Answer:

Use the zeroes to determine the roots.

Write the polynomial as a product of the leading coefficient, a, and the factors, where each factor is x minus a root.

Use the y-intercept (0, –5) to solve for the leading coefficient.

Substitute the leading coefficient into the polynomial function for a and simplify.

Step-by-step explanation:

Answer:

Present age of john= 24 years

Let Shane's age= x years

 Two years ago

John's age = 24-2= 22 years

Shane's age = (x-2) years

  Writing in terms of equation,to the above statements

⇒22= 2(x-2)

⇒22= 2 x- 4

⇒22+4 = 2 x

⇒ 2 x= 26

⇒ x= 26÷2

⇒ x =13

Present age of son = 13 years

median = 35

the median is the middle entry of the data arranged in ascending order

rearranging the data in ascending order

3 5 23 27 35 37 45 48 49

the middle value = 35 ← median

3/100, 5/100, 5/100 75/100