Justin and Desiree each wrote a ratio comparing the numbers of students and tables in their classroom. There are 6 tables in the room with 4 students at each table.

Justin states that the ratio is 4:1.
Desiree insists the ratio is 24:6.

They both ask Luke to tell them which ratio is correct. Which statement below would be the best answer for Luke?
Justin is correct because there are 4 students per table. A ratio is not correct unless it uses the smallest possible numbers.
Desiree is correct because there are 24 students to 6 tables in the room. A ratio must account for the total number of each value.
Both are correct. Desiree’s ratio compares the total number of students in the room to the total number of tables, while Justin’s is equivalent but simplified to students per table.
Neither is correct because they should have 4:6 or 2:3 for the 4 students and 6 tables.

Your answer would be 56m².

To find the surface area, you need to add up the total number of squares that can be seen on the outside of the solid.

First you have the front end which is made up of 4 squares, and there would be another one on the same side, so this comes to 8m².

The surface on top contains 12 squares, and this would also be the same on the bottom of the solid, so you get 24m².

The surface on the right-hand side also contains 12 squares and would be doubled on the other side, so this also comes to 24m².

Therefore your final answer is 8 + 24 + 24 = 56m².

I hope this helps!

Answer: you can find the composite figure's volume by finding the volumes of those combined rectangular prisms and adding them up.

Step-by-step explanation:

Answer:

Sample response: Look at the figure and take note of the types of three-dimensional figures that make it up. Find the volume of each figure. Add the volumes to find the total volume.

Step-by-step explanation:

Answer:

27 1/3

Step-by-step explanation:

The polygon has a perimeter of 164 and 6 sides.

Divide 164 by 6 sides to get the side lengths for each side.

164/6 = 27 1/3

Final answer:

To find the length of a side of a regular hexagon with a perimeter of 164 meters, you divide the perimeter by the number of sides, which results in approximately 27.33 meters per side.

Explanation:

The regular polygon in question is a hexagon since it has 6 sides. To find the length of one side of the polygon, we divide the perimeter of the polygon by the number of sides it has. The formula for the perimeter (P) of a regular polygon is P = number of sides × length of one side.

Given the perimeter (P) is 164 meters, we find the length of one side (s) by dividing the perimeter by the number of sides (6).

Length of one side (s) = P / number of sides = 164 / 6 = 27.333... meters

Therefore, the length of one side of the hexagon is approximately 27.33 meters.

Answer:

±70

Step-by-step explanation:

Using a geometric sequence, it is found that the possible values of the 6th term of the sequence are -70 and 70.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The nth term can also be written as a function of the mth term, as follows:

[tex]a_m = a_1q^{n-m}[/tex]

In this problem, considering that we have the 5th and the 7th term, we have that:

[tex]a_7 = a_5q^2[/tex]

Since [tex]a_5 = 140, a_7 = 35[/tex]:

[tex]q^2 = \frac{a_5}{a_7}[/tex]

[tex]q^2 = \frac{35}{150}[/tex]

[tex]q^2 = \frac{1}{4}[/tex]

[tex]q = \pm \frac{1}{2}[/tex]

[tex]\pm \frac{1}{2}[/tex] of 140 is [tex]\pm 70[/tex], hence the possible values of the 6th term of the sequence are -70 and 70.

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Answer:

option D

Step-by-step explanation:

Since one of the three angles is 90° , it is a right triangle

Answer:

1. 10 + 10 + 10 = 30

2. 5 + 5 + 10 = 20

3. 4 + 4 + 5 = 13

4. 5 + 9 x 2 = 23

Step-by-step explanation:

I hope this helps! Stay safe and have a wonderful day! :3

Answer:

5 + 4 + 10 = 19

Step-by-step explanation:

the boy is wearing a pair of shoes and holding two popcorns.

Answer:

its 2x−82, x, minus, 8.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiplying bases with exponents means you have to multiply the base and add the exponent. So:

(10⁴)(5²) = 50⁶

(10³)(5³) = 50⁶

Now the equation is (50⁶/50⁶)³

Anything divided by itself will be one, so the number inside the parentheses is 1.

Now the equation is 1³, and 1x1x1 is 1.

Answer:

E.

Step-by-step explanation:

1 / 2 : 5

8 : 80

They are directly proportional, and 1 / 2 -> 8 = 16

5 * 16 = 80

80 Miles.

The real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

The distance between two cities = 8 inches,

The scale 1 / 2 inches or 0.5  = 5 miles

So for 1 inch, the actual distance will be 2 × 5 = 10 miles,

Hence, for 8 inches the distance will be =  8 × 10 = 80 miles,

Therefore, the real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.

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Answer:

D

Step-by-step explanation:

Answer: A And C  ez

Step-by-step explanation:

Answer:

y = -3x +7

Step-by-step explanation:

The y intercept is 7.  It is where the line crosses the y axis

We also need to find the slope

We need two points (0,7) and (3,-2)

m = (y2-y1)/(x2-x1)

   = (7 - -2)/(0-3)

  (7+2)/(0-3)

  9/-3

 -3

The equation of a line is

y = mx+b  where m is the slope and b is the y intercept

y = -3x +7

Answer:

D

Step-by-step explanation:

(x-2)(x-2)+6

FOIL

Answer:

f(-4)= -55

Step-by-step explanation:

We want to find f(x), or y, when x is equal to -4.

Therefore, we can substitute -4 in for x in the function.

f(x) = -2x^2 + 4x - 7

Substitute -4 in for x

f(-4) = -2(-4^2) + 4(-4) - 7

Evaluate the exponent

f(-4)=-2(16)+4(-4)-7

Multiply -2 and 16

f(-4)= -32+4(-4)-7

Multiply 4 and -4

f(-4)=-32-16-7

Subtract

f(-4)=-55

There are 8 students in the range 12 cm to 13.9 cm

How many students are in the range

From the question, we have the following parameters that can be used in our computation:

The data values

Also, we have

Range = 12 cm to 13.9 cm

Looking through the data values, we have:

12.1, 13.5, 12.4, 13.7, 12.0, 13.8, 12.5, and 13.1

Counting these values, we have

Count = 8

Hence, there are 8 students in this range

Answer: 60

Step-by-step explanation:

The three interior (inside) angles in a triangle will always add up to 180°.

60 + 60 + y = 180

120 + y = 180

-120

y = 60

60 * 3 = 180

Answer:

B. 60

Step-by-step explanation:

It is an equilateral triangle, meaning all sides and angles are equal. This also means that if the angle of point B is 60°, then the angle of points C and A are also 60°.

[tex]5x + 4y = - 30 | \times ( - 3) \\ 3x - 9y = - 18 | \times 5 \\ \\ - 15x - 12y = 90 \\ 15x - 45y = - 90[/tex]

Now add 2 equations

[tex] - 57y = 0 \\ y = 0[/tex]

Now we need to put y into any equation

[tex] - 15x - 12 \times 0 = 90 \\ - 15x = 90 \\ x = - 6[/tex]

Answer: (-6;0)

Solving steps:

3x - 9y = -18

divide both sides by 3

3x - 18 + 9y

therefore, x = 6+3y

We cannot solve this further, therefore x = 6 + 3y

David's winnings decrease faster Between 4.5 and 6 hours since he started playing. so option B is correct.

The average Rate of Change of the function f(x) can be calculated as;

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]

David played a slot machine.

W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).

Lets calculate the average rate of change of W(t).

ARC ( 1, 4.5)

[tex]W(t) = \dfrac{W(4.5)- W(1)}{4.5-1}\\\\W(t) = \dfrac{-70}{3.5}\\\\W(t) = -20\\[/tex]

ARC( 4.5, 6)

[tex]W(t) = \dfrac{W(6)- W(4.5)}{6-4.5}\\\\W(t) = \dfrac{-51}{1.5}\\\\W(t) = -34\\[/tex]

Thus, the average rate of change over the interval ( 4.5, 6) is greater than the average rate of change over the interval ( 1, 4.5).

Hence, David's winnings decrease faster Between 4.5 and 6 hours since he started playing.

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Answer:

Mai, Tyler Kiran,Jada ratio = 4,2,1,1Tyler is double that of Jada

So expression could be f(t) 2 x 1t x 5 = 10

Step-by-step explanation:

The expression for the number of chips Tyler won, based on the number of chips Jada won, is 2j.

In this problem, we are asked to develop an expression for the number of chips Tyler won based on the amount Jada won. The relationships between the chips won are as follows: Kiran won as many chips as Jada (so if Jada won j chips, Kiran also won j chips), Mai won 4 times as many chips as Kiran (so Mai won 4j chips), and Tyler won half as many chips as Mai (so Tyler won 1/2 * 4j = 2j chips).

So, using j to represent the number of chips Jada won, the expression for the number of chips Tyler won would be 2j.

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Answer:

Vertex is (2,-9)

Y- intercept is (0,-5)

Step-by-step explanation:

The vertex of the parabola are (2, -9).

The x-intercepts: (–1, 0) and (5, 0).

The midpoints between the intercept are (2, 0).

The y-intercept is (0, -5).

The equation of the vertex of the parabola;

y = a (x - h)² + k

Where h and k are the vertexes of the parabola.

Given that;

Graph the function f(x) = (x + 1)(x – 5).

Now, Comparing this to the general form, the vertex is (2, -9).

And, The x-intercept is the point where the graph intersects the x-axis or the point where y or f(x) is 0.

f (x) = 0

(x + 1) (x - 5)= 0

x = - 1

x = 5

Thus, The x-intercepts: (–1, 0) and (5, 0).

The midpoints between the intercept are;

(- 1 + 5) / 2, (0 + 0)/2

(2, 0)

Hence, The midpoints between the intercept are (2, 0).

The y-intercept is the point where the graph intersects the y axis or the point where x is 0.

f(0) = (0+1). (-5) = 1(-5) = -5

The y intercept is (0, -5).

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Answer:

The given question is

Draw two 1 dm squares on a sheet of paper. Draw a diagonal on each one and cut them out.

So, you need to draw square with sides of 1 dm. However, first, you need to transform from dm to cm.

We know that 1 decimenter (dm) equals 10 centimeters (cm).

That means the square sides are 10 centimerers long. So, you need to draw two squares like the first image attached shows.

Then, to draw their diagonals, you need to draw a line segment from one corner to its opposite corner, you should have an inclined line acroos each square. As the second image attached shows.

There you have it. Two squares of 1 dm side with on diagonal each.

The correlation coefficient is a number that indicates the direction

and closeness of points of a line of best of fit.

So it tells us two things.

It tells us the direction of the line of best fit

and it tells us the closeness of the points.

Usually, anything between -0.9 and -0.6 has a moderate negative correlation. If you look at this on a graph, you will notice that the points definitely resemble a line so we say it's moderate.

It will be a negative correlation because the slope is negative.

Answer:

c. r = –0.64

Step-by-step explanation:

edgu 2020

Answer: The length of radius of a circular pool is 7 meters

Step-by-step explanation:

Given that the circumference of a circular pool cover is about 88 meters

To find the length of radius

As we know circumference of a circle is given by

[tex]C=2\pi r[/tex] where C is circumference , and r is radius of the circle

Now as according to question we have

[tex]88= 2\pi r\\\\\Rightarrow 88= 2\times \dfrac{22}{7} r\\\\\Rightarrow r= \dfrac{88\times 7}{2\times 44} = 7 m[/tex]

Hence,the length of radius of a circular pool is 7 meters

Answer:

7 times p

7 multiplied by p

The product of 7 and p

Step-by-step explanation:

The question is 7p. Usually, when a number and a variable is placed side by side, it means you are multiplying:

7 times p

7 multiplied by p

The product of 7 and p

are all your answer choices, for they all deal with multiplying 7 with p.

~

Answer:

=−2k+6

Step-by-step explanation:

(happy to help)

Final answer:

Combining like terms in the expression -2k - (-5) + 1 results in -2k + 6.

Explanation:

Combine the like terms to create an equivalent expression:

Given expression: -2k - (-5) + 1

To combine like terms, simplify each part of the expression:

-2k stays as is.

-(-5) becomes +5.

1 stays as is.

Combining these simplified parts: -2k + 5 + 1 = -2k + 6

Answer: 59%

Step-by-step explanation:

First, you should add all of the money together.

= $268 + $68 + $96

= $400

Now, put it into a fraction. Remember to have a percentage, you have to multiply the division by 100.

= [tex]\frac{268}{400}[/tex] x 100

= 59%

Answer:

4a+3=15

Step-by-step explanation:

Let's solve your equation step-by-step.

4a+3=15

Step 1: Subtract 3 from both sides.

4a+3−3=15−3

4a=12

Step 2: Divide both sides by 4.

4a

4

=

12

4

a=3

Answer:

a=3

Answer:

The park ranger bought 2 redwood trees and 10 spruce trees.

Step-by-step explanation:

24 * 2 = 48

208 - 48 = 160

160 / 16 = 10