Arturo asked all of his classmates if they prefer soccer or football. He found that 16 students prefer football while 20 prefer soccer. Which ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class? StartFraction 5 Over 9 EndFraction StartFraction 4 Over 5 EndFraction StartFraction 5 Over 4 EndFraction StartFraction 9 Over 4 EndFraction

Answer:

0.1 is the answer...............

The common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

Arithmetic Sequence is also known as arithmetic progression and is a sequence of numbers in which the difference between the consecutive terms is constant.

Common difference is the difference between two consecutive terms of an arithmetic progression.

We have arithmetic progression,

[tex]4,4.1,4.2,4.3,4.4[/tex]  

Here,

[tex]a_{1} =4[/tex]

[tex]a_{2} =4.1[/tex]

[tex]a_{3} =4.2[/tex]

[tex]a_{4} =4.3[/tex]

[tex]a_{5} =4.4[/tex]

And,

Common Difference [tex](d)[/tex] [tex]=a_{2} -a_{1} =a_{3} -a_{2} =a_{4}-a_{3}[/tex]

So,

Common Difference [tex](d)[/tex] [tex]= 4.1-4[/tex]

                                       [tex]=0.1[/tex]

So, Common Difference [tex](d)[/tex] is    [tex]0.1[/tex] which is the difference of consecutive terms of Arithmetic Sequences.

Hence, we can say that the common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

To know more about Arithmetic Sequences click here

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Answer:

The answer would be c

Step-by-step explanation:

i choosed c because u have da negative sign in front of 4 and 2 and positive numbers with 1 and 2

Answer:

b

Step-by-step explanation:

I think this means to find the mid-point(?) of the line which by doing that you take both x-values and you add them and then divide by two, and then you take both y-values and add them and then divide by two. So you have: (1+-4)=-3, (-3/2)=-1.5

-1.5=x

(2+-2)=0, (0/2)=0

0=y

(-1.5, 0)

Answer:

D is the answer

Step-by-step explanation:

5 units right and 3 units up

Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?

Answer:

105

Step-by-step explanation:

Angles in triangles are equal to 180. Substract the 2 known angles to get  your answer.

Answer:

scalene triangle

Answer:

Option A "4(-7k+16k+3)" would be the appropriate choice.

Step-by-step explanation:

On solving the equation, we get

⇒ [tex]4(-7k+16k+3)[/tex]

On applying BODMAS rule, we get

⇒ [tex]4(9k+3)[/tex]

Therefore,

⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]

All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.

Given:

Louisa has a goal of collecting 100 pounds of dog food for a local shelter.

The table of values which represents the number of pounds of food she collects each week.

To find:

The number of more pounds of dog food Louisa need to reach her goal.

Solution:

For first week = 20.5 pounds

For second week = [tex]18\dfrac{3}{4}=18.75[/tex]

For third week = 32.75

Now,

[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]

Therefore, the correct option is C.

Answer:

Inverse Function: f^-1(x) = 9/4x + 9

Step-by-step explanation:

To find  the inverse function we can interchange the position of the variables x and y, and then solve for y;

y = 4/9x - 4 => x = 4/9y - 4,

x = 4/9y - 4,

4/9y = x + 4,

y = 9/4x + 9/4(4),

y = 9/4x + 9/ f^-1(x) = 9/4x + 9

Answer:

y = x(40) + (500)

Step-by-step explanation:

slope = 40

y-in.. = 500

slope =

500 - 740 = -240

_______

0 - 6 = -6

slope = 240/6 or 40

Answer:

[tex]x^{2}[/tex] + 3 - 6

Step-by-step explanation:

Answer:

x2+3x-6

Step-by-step explanation:

Answer:

D should be the answer!

Answer:

-12,-2,8,48

Step-by-step explanation:

y=10x-2

If x is -1,

10(-1)-2

is -12

so y = -12.

The four boxes are -12,-2,8,48

Hope this helps plz hit the crown :D

Answer:

The volume of a rectangular prism = V = 140 m³

Step-by-step explanation:

Given:

To Determine:

Using the formula to determine the volume of the prism

V = l × w × h

V = 4 × 5 × 7

V = 140 m³

Therefore, the volume of a rectangular prism = V = 140 m³

Answer:

-5/3

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

y=mx+b

m is the slope

so its -5/3

Hope this helps plz hit the crown :D

Answer:

angle 6 is 63

They are alternate to each other

Step-by-step explanation:

Here, we want to get the measure of angle 6 from the diagram

From the diagram,

angle 6 is also 63

The reason for this is because the two angle measures are alternate angles and alternate angles are congruent

Answer:

I got this question too! I'm not sure

Step-by-step explanation:

Answer:

I think they would be 7 4/6 & 5 2/8

Step-by-step explanation:

srry if im late!

Answer:

8 tsp purple : 3 tsp pink

Step-by-step explanation:

Answer:

5.66 units

Step-by-step explanation:

Answer:

[tex]\huge\boxed{x=9}[/tex]

Step-by-step explanation:

[tex]\angle A\cong\angle B\qquad\text{therefore}\qquad AC\cong BC\Rightarrow|AC|=|BC|\\\\\text{We have}\ |AC|=20;\ BC=3x-7.\\\\\text{Therefore}\\\\3x-7=20\qquad|\text{add 7 to both sides}\3x-7+7=20+7\\\\3x=27\qquad|\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{27}{3}\\\\x=9[/tex]

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

4x + 9 = 2x + 15

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 21 does indeed equal 21.

∴ x = 3 is the solution to the equation.

Answer:

12 bags

Step-by-step explanation:

3 pounds = 48 ounces

48 ÷ 4 = 12

Answer:

12 bags

Step-by-step explanation:

Answer:

70,000

Step-by-step explanation:

Answer:

The correct answer is 73,000.

Step-by-step explanation:

This is because, we know that the number 7 or 70,000 represents the ten-thousands in this number. Therefore, the number 2 or 2,000 represents the thousands place, which is what we are trying to round.

In order to do so, we have to look at the number behind it, which, in this case, is 6.

Rule: If the number is 4 or less, the number before it stays the same. If the number is 5 or more, the number before it goes up 1.

Since 6 is larger than 5, the 2 will become a 3, while the other numbers become 0s.

Therefore, the correct answer is 73,000.

Hope this helps! :)

Answer: 60,004.41 kilograms

Step-by-step explanation:

Given: Weight of Blue whales = [tex]1.362 \times 10^5[/tex] kilograms

= [tex]1.3621\times 100000=136210[/tex]

Weight of blue whale = 2.27 x (weight of largest dinosaur )

[tex]136210=2.27\times \text{(weight of largest dinosaur)}\\\\\Rightarrow\ \text{(weight of largest dinosaur)} =\dfrac{136210}{2.27}\\\\\Rightarrow\ \text{(weight of largest dinosaur)}=60004.41[/tex]

Hence, The weight of largest dinosaur = 60,004.41 kilograms

Answer:

Angle 1 is 69°

Step-by-step explanation:

9x + 66 = -9x + 156

9x + 9x = 156 - 66

18x = 90

18x/18 = 90/18

x = 5

-9x + 156

-9(5) + 156

-45 + 156

111

180 - 111 = 69.

Answer:

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)

Let us use this rule to solve our question

∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)

∵ ΔDEF dilated by a scale factor 5

∴ k = 5

∵ The origin as the center of dilation

→ That means, multiply the coordinates of every point by 5

∴ D' = (8 × 5, 4 × 5)

∴ D' = (40, 20)

∴ E' = (2 × 5, 6 × 5)

∴ E' = (10, 30)

∴ F' = (3 × 5, 1 × 5)

∴ D' = (15, 5)

∴ The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

Answer:

1st staement, second option 2nd statement 3rd option, 3rd staement, 4th option, 4th statement, 1st option

Step-by-step explanation:

hope this is right!