The school cafeteria has 16 round tables that each fit-8 students and..
12 rectangular tables that each fit 12 students. How many students can
fit in the cafeteria at once?
A 128
- B 256
C 144
D 272

Let's first look only at the numerator: 5x^2 - 5

Consider this question: What do both terms have in common?

The answer is 5, both terms contain a 5, so we can factor it out.

5(x^2 - 1)

Now let's look at the denominator, considering the same question: 3x^2 + 3x

This time, both terms contain a 3 and an x.

3x(x^2 + 1)

Now we are here: [ 5(x^2 - 1) ] / [ 3x(x + 1) ]

In the numerator, the binomial factors out into (x + 1)(x - 1). There is also an (x + 1) in the denominator, so those to binomials cancel out. That leaves us with the following expression:

5(x - 1) / 3x

Correct Answer: C

Hope this helps!

Answer:

i cant really see the screen

Step-by-step explanation:

Answer:

Sample T ( B)

First term, a = 6

Common difference, d = 4

Using the formula :

an = a + (n - 1) d

an = 6 + (n - 1) 4

an = 6 + 4n - 4

an = 2 + 4n

nth term = 2+4n

here it is !

Step-by-step explanation:

must find x and then using x to find y

Answer:

90,000 is the answer to that question

Answer:

its in the 10,000 digit placement.

Step-by-step explanation:

100, 000
  90,000
    5,000
       400
         80
            7
Hope this helped! Have a nice day!
Please give Brainliest when you can.

-Jaron, King of Carthya.

By comparing with a right triangle, we will see that the height of the tree is 62.12ft

We can compare the situation with a right triangle. Such that the hypotenuse measures 68 ft, and an angle measures 66°.

We want to get the height of the tree, which would be the opposite cathetus, then we can use the relation:

Sin(a) = (opposite cathetus)/hypotenuse.

Sin(66°) = H/68ft

Tan(66°)*68ft = H = 62.12ft

The height of the tree is 62.12ft

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Step-by-step explanation:

the products is the 2 parts of the segment lines are the same.

so,

5×8 = 4x

is correct (the second option).

which means

40 = 4x

x = 10

Answer:

a. probability of 5/9
b. probability of 3/9

Step-by-step explanation:

All possible outcomes:

1 x 1 = 1
1 x 2 = 2
1 x 3 = 3
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9

All outcomes with an even number:

1 x 2 = 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 2 = 6

All outcomes with a number greater than 5

2 x 3 = 6
3 x 2 = 6
3 x 3 = 9

Question 20

- 15 - 12 = -27

Question 21

(-15) x (-2) = + 30

Hope this helps!

Answer:

#20 is correct

#21 30

Step-by-step explanation:

#21 is (-15)(-2)

This is a multiplication problem. A negative × a negative is a positive.

15×2 = 30

-15 × -2 = 30

Answer:

i got 8.5

Step-by-step explanation

i have a triangle area calculator lol..

The length of the base of the triangle is B = 8.5 inches

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle be A = 25.5 inches²

Let the height of the triangle be H = 6 inches

Let the base of the triangle be B

Now , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

25.5 = ( 1/2 ) x ( 6 ) x ( B )

On simplifying , we get

3B = 25.5

Divide by 3 on both sides , we get

B = 8.5 inches

Hence , the base of triangle is B = 8.5 inches

To learn more about triangles click :

https://brainly.com/question/16739377

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Step-by-step explanation:

Well there is no direct formula for calculating the orthocentre

well the process of finding the orthocentre is to find the altitudes of all the sides and then find their intersection points

Here in this question

The given triangle represents a right angled triangle with right angled at L(-3,2)

We know that the ortho centre in a right angled triangle is the right angled vertex

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

Hence the required orthocentre is (-3,2) and it is on the Triangle

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

Answer:

I would say he has a 25%-50% chance of probability of selecting only football cards.

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

Alice picked 25 apples from the garden and she wants to share the apples with her 6 friends. She wants to determine how many apples each friend would get.

Division is a mathematical operation taht entails grouping a number into equal parts using another number. The sign used to denote division is ÷.

Based on the sign in the question, you are to divide 25 by 6. In order to do this, group 25 into 6 groups. The result is 4 remainder 1.

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

In fact, there is no such property because you've made a little mistake, I'll write a clear explanation

Step-by-step explanation:

3x-6y= 3 * (x-2y)

and not 2.

it is like dividing by 3, if you want to check try to do it backwards:

3 *(x-2y) = 3x - 6y

Answer:

y=rx x-3

Step-by-step explanation:

answer is 3

Mean is the ratio of the sum of data to the ample size. The remaining four cards that could be on the card are 8, 8, 16 and 22

Mean is the ratio of the sum of data to the ample size. Median is the middle number after rearrangement while the mode is the most occurring number.

Given the sequence of numbers in order of size as 5, _, _, _, _ 24

Since 2 number falls in the middle and the median is 14, hence:

x +y/2 = 14

Since 8 is the mode, we can assume x = 8 in order to determine "y" as shown

8+y/2 = 14
8+y = 28
y = 16

The sequence of numbers will become 5, 8, 8, 16, _ 24 (8 was repeated twice being the mode)

The last unknown number can then be any value between 16 and 24. Using 22 as the last unknown value, the remaining four cards that could be on the card are 8, 8, 16 and 22

Learn more on measure of dispersion here: https://brainly.com/question/8910182

Answer:

1/10

Step-by-step explanation:

Because there are 10 markers and only one is yellow. so you have a one in ten chance to pull a yellow marker.

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

1/10

Step-by-step explanation:

because there is 10 markers total and 1 of them is yellow

The histogram that represents this data would be the histogram shown in the image below.

In a histogram, bars or bins show the frequency of a range of data points in a data distribution.

Given the data set, 1, 7, 4, 4, 3, 2, 7, 8, 1, 19, 20, 22, 20, 19, 16, 16, 19, 13, 1, 13, the groups and frequency for the data distribution would be:

0 - 5: 7

6 - 11: 3

12 - 17: 4

18 - 23: 6

Therefore, the histogram that represents this data would be the histogram shown in the image below.

Learn more about histogram on:

https://brainly.com/question/18198700

Answer:

if you are confused about the explanation of the person on top... it means the answer is C.

Step-by-step explanation:

creds to the person on top

Answer:

-y = x-1 is a fairly simple equation at least with real integers.

I hope to help you understand the process of solving it so you can apply the thinking to increasingly difficult equations. If this equation is difficult for you, I will try to explain it simply.

let's try a simple trick. If you want to solve for y, then it's helpful to remove the negative from it.

that means you need to do the same thing to the x side, but since x is already positive it needs to change to -x to balance things out.

the equation now reads y = -x+1 because we have reversed the negative and positive values on both sides of the equation.

I hope this helps simplify the thinking behind solving an equation of this nature. The two previous answers above this one are both correct, but may be just a tad more complex than you need at this moment.

Answer:

D

Step-by-step explanation:

Since  the cost of making backpack is $10 They have a pprfit of $30 for each  one(30x)

But they also have $12,000 operaing expenses (-12,000)

And all that should be 980 or more than that      (≥)

30x-12,000 ≥ 980

Answer:

8 cm

Step-by-step explanation:

Hope it helps............

Answer: im sowwy but what are you asking lol srrry ima soopid person

Step-by-step explanation:

Answer:

dddddddd

Step-by-step explanation:

Answer:

1. ) Point Y

2.) Side YX, Side YZ

3.) Point X

4.) Side XZ

Hope this helps!

Answer:

25%

Step-by-step explanation:

First convert 3 hours into minutes by multiplying 3 x 60 min/hr. This is 180 minutes. To find the percentage, divide 45 minutes by 180 minutes and then multiply by 100.

45/180=0.25x100 = 25%

The time 45 minutes is 75 percentage of 3 hours

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

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

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage be represented as A

Now , the equation will be

The time be represented as p = 45 minutes

The value of p = 3/4 hours

The value of q = 3 hours

So , the percentage is A = ( p/q ) x 100

Substituting the values in the equation , we get

The percentage A = ( 3/4 ) / 3 x 100

On simplifying the equation , we get

The percentage A = ( 3/12 ) x 100

The percentage A = ( 1/4 ) x 100

The percentage A = 25 %

Hence , the percentage is 25 %

To learn more about equations click :

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Answer:

24.8 ft (1 dp)

Step-by-step explanation:

Arc length of semicircle = [tex]\pi r[/tex]  (where r is the radius)

Given:

⇒ Arc length = 2 × 3.14 = 6.28 ft

Use Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex] to find the hypotenuse of the right triangle with legs 2 ft and 4 ft:

[tex]\implies 2^2+4^2=c^2[/tex]

[tex]\implies c^2=20[/tex]

[tex]\implies c=\sqrt{20}=2\sqrt{5}\:\sf ft[/tex]

Therefore:

perimeter = 6 + 6.28 + 6 + 2 + 2√5

                = 24.75213596...

                = 24.8 ft (1 dp)

Perimeter of semicircle

#Rectangle

For triangle

Use Pythagorean theorem

Total Perimeter

Answer:

32

Step-by-step explanation:

We first solve everything in the parenthesis. So: (7 -5) = 2 and (20 - 19) = 1. Now we change the equation:

3[(2)2 +(1)2] + 14

Then we multiply inside the brackets: 2 x 2 = 4 and 1 x 2 = 2. So the equation now looks like this:

3[ 4 + 2] + 14

Now we add:

3{6} + 14:

We multiply:

18 + 14

Finaly we add again:

18 + 14 = 32