There is an unknown number of people at the beginning of lunch. Then...

Each student had 3 friends come sit with them, tripling the amount.
Then the entire group divided into 4 groups, and all but one group left and went outside, so only 1 fourthof the total students were left in the lunchroom
7 more people came into the lunchroom
The total number of people in the lunchroom at the end of lunch was 16

Answer: 22/3

Step-by-step explanation:

So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.

The common denominator of the two would be 6.

[tex]-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}[/tex]

Add the 27/6 to both sides

[tex]\frac{11}{6}=\frac{1}{4}x[/tex]

Divide the 1/4 to both sides

[tex]x=\frac{11}{6}*\frac{4}{1} =\frac{44}{6}= \frac{22}{3}[/tex]

Step-by-step explanation:

Equation 1: 2x - 3y = 13

Equation 2: 2x + 4y = -8

Subtract Equation 1 from Equation 2:

2x + 4y = -8

- (2x - 3y = 13)

=> 7y = -21, y = -3.

Then 2x - 3(-3) = 13, 2x + 9 = 13, x = 2.

The solutions are x = 2 and y = -3.

Answer:

0.74

Step-by-step explanation:

Given :

__________________ STRENGTH __

__________________High _ Low

High conductivity _____ 74 __ 8

Low conductivity _____ 15 ___ 3

Probability that conductivity is high and strength is high :

This the probability of High conductivity n High strength = P(High conductivity n High strength)

Probability = required outcome / Total possible outcomes

Required outcome = P(High conductivity n High strength) = 74 (from table)

Total possible outcomes = total sample size = 100

Hence,

P(High conductivity n High strength) = 74 / 100 = 0.74

Answer:

I just did this a couple days ago try 690

Step-by-step explanation:

Answer:

27.50 divided by 2

Tell Me If Somethings wrong with my answer!

Answer:

54

Step-by-step explanation:

pedmas rule

2+16*4-12

2+64-12

66-12=54

Answer:

The answer will be the following :

Step-by-step explanation:

Let's solve for x.

3x−2y=46x

Step 1: Add -46x to both sides.

3x−2y+−46x=46x+−46x

−43x−2y=0

Step 2: Add 2y to both sides.

−43x−2y+2y=0+2y

−43x=2y

Step 3: Divide both sides by -43.

−43x

−43

=

2y

−43

Answer:

15 questions were on the quiz

Step-by-step explanation:

12/15 = .80 = 80%

Answer:

68?

Step-by-step explanation:

Answer:(If you need the slope)

y=3x+6.5

Step-by-step explanation:

Answer:

40.5

Step-by-step explanation:

Answer:

ben is thinking of the equation -10    minus -8 and the answer for the problem is -2

Step-by-step explanation:

Answer:

B u got this!

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Number 7.) triangle

Number 8.) Cylinder

Number 3.) Rectangle

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

To find the answer, divide 35$ by 7. Then multiply that number by 4.

35/7=5

5x4=20

Answer:

You earn $20 for washing 4 cars

Answer:

[tex]\bar x = 34.7[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Age} & {Fatalities} & {11 - 20} & {340} & {21-30} & {1527} & {31-40} & {866} & {41-50} & {693} & {51-60} & {423} & {61-70} & {123} \ \end{array}[/tex]

Required

Calculate the mean

The given data is a grouped data. So, we need to calculate the class mid -point first.

This is done by calculating the average of the class intervals.

So, we have:

[tex]\begin{array}{ccc}{Age} & {Fatalities} & {x} & {11 - 20} & {340} & {15.5} & {21-30} & {1527} &{25.5}& {31-40} & {866} & {35.5} & {41-50} & {693} & {45.5} & {51-60} & {423} & {55.5} & {61-70} & {123} & {65.5}\ \end{array}[/tex]

For 11 - 20, the midpoint is: [tex]x =\frac{1}{2}(11+20) = \frac{1}{2}*31=15.5[/tex]

For 21 - 30, the midpoint is: [tex]x =\frac{1}{2}(21+30) = \frac{1}{2}*51=25.5[/tex]

.....

For 61 - 70, the midpoint is: [tex]x =\frac{1}{2}(61+70) = \frac{1}{2}*131=65.5[/tex]

The mean is then calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{(15.5 * 340) + (25.5 * 1527) + (35.5 * 866) + (45.5 * 693) + (55.5 * 423) + (65.5 * 123)}{340 + 1527 + 866 + 693 + 423 + 123}[/tex]

[tex]\bar x = \frac{138016}{3972}[/tex]

[tex]\bar x = 34.7472306143[/tex]

[tex]\bar x = 34.7[/tex] --- approximated

The mean is approximately 34.7

Answer:

C

Step-by-step explanation:

the basketball team scored greater than 48 points.

Answer:

Step-by-step explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).

4x - y = 13 represents the line that passes through the point (3,-1) and is perpendicular to the graph of x+4y=10.

A perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes.

Given

x + 4y = 10

∴ 4y = -x + 10

∴ y = [tex]\frac{-1}{4} x + \frac{5}{2}[/tex]

so y = 4x + b pass through the point (3, -1)

⇒ -1 = 4 × 3 + b

⇒ -1 = 12 + b

⇒ b = -1 - 12

⇒ b = -13

∴ y = 4x -13

4x - y = 13

Hence, 4x - y = 13 represents the line that passes through the point (3,-1) and is perpendicular to the graph of x+4y=10.

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Answer:

"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the [tex]x[/tex]-coordinate of the quadratic function, and then substituting that value into the function."

Step-by-step explanation:

Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a polynomial of degree 2, which is a fancy way of saying that something is a quadratic), the [tex]x[/tex]-coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.

In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve [tex](x-3)(x-7)=0[/tex], which gives [tex]x-3=0 \vee x-7=0[/tex] (the 'V' stands for 'or'). We can take the average of the two roots to get the [tex]x[/tex]-coordinate of the minimum point of the graph (which, in this case, is [tex]x=\frac{3+7}{2} = \frac{10}{2} = 5[/tex]).

Having the [tex]x[/tex]-coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the [tex]y[/tex]-coordinate of the extremum.

Answer:

What percent of his baseball cards did David give to his sister?

20%

How many baseball cards does David have left? %

47

David had 180 cards left

Hope I helped!

Answer:

249

Step-by-step explanation:

We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is arithmetic (a fancy word of saying that a sequence is increasing with a constant value every term).

Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form [tex]9n+c[/tex], where [tex]n[/tex] is the term number and [tex]c[/tex] is a constant we are going to figure out right now.

We know that the first term of the sequence is -12, so we see that[tex]9(1) + c = -12[/tex] and hence [tex]c=-21[/tex]. Therefore, the 30th term of the sequence is [tex]9(30) - 21 = 249[/tex].

Answer:

A = -4

B = 12

Step-by-step explanation:

A is -4 because 8 - 4 is 2. B is 12 because both of the denominators are 12 so the answer's denominator should also be 12.

Hope it helps!

Answer:

5.6

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of hours for

the police to catch up to the car.

We have 90x = 80x + 5.

=> 10x = 5

=> x = 0.5.

Hence it will take them 30 minutes.

Answer:

c) 6000

Step-by-step explanation:

the car's value would be $6000 because in two years the car decrased by $6000. Divide that by 2, and get $3000. That's how much it decreases in one year. $9000-$3000=$6000

btw I can't help it the car's original value was $24,000

Answer:

The first ? is positive, second ? is even.

Step-by-step explanation:

There is 4 negative factors. 4 is an even number. When there is an even amount of negative factors, the anwser is always even.

The complete statement is;

The product is Positive because there is an even number of negative factors.

Here;

The mathematical expression is,

18 (–24) (- 5) (-101) (- 7)

We have to complete the statement.

What is Product of number with negative sign?

If the number of negative factor is odd then sign of product is negative and if the number of negative factor is even then sign of product is positive.

Now,

The mathematical expression is,

18 (–24) (- 5) (-101) (- 7)

Value of 18 (–24) (- 5) (-101) (- 7)  = 1,527,120

Hence, The product is Positive because there is an even number of negative factors.

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   Total number of vanila flavored cupcakes sold in a day by the bakery is 415.

        Number of flavored cupcakes = percentage of vanila flavored

                                   cupcakes × Total number of cupcakes sold in a day

Total number of cupcakes sold by the bakery = 500

Percentage of the cupcakes having vanilla flavor = 83%

Number of vanila flavored cupcakes = 83% of 500

                                                             = [tex]\frac{83}{100}\times 500[/tex]

                                                             = 415

      Therefore, number of vanila flavored cupcakes sold by the bakery will be 415.

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Answer: i want to help sosososososo badly but i do not know spanish

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.[/tex]

Step-by-step explanation:

We observe that the left line segment has a rise of 3 for each run of 1. Its slope is ...

  m = rise/run = 3/1 = 3

It goes through point (-2, 4), so its equation can be written ...

  y = m(x -h) +k . . . . line with slope m through (h, k)

  y = 3(x +2) +4 . . . . fill in known values

  y = 3x +10 . . . . . . . simplify — equation of left line

__

The right segment has a rise of 2 for each run of 1. Its slope is ...

  m = 2/1 = 2

Then the equation of the line through point (4, 1) is ...

  y = 2(x -4) +1

  y = 2x -7

__

Taking into account solid and open circles, the equation for the function is ...

  [tex]f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.[/tex]

Answer:

10 (D)

Step-by-step explanation:

do the Pythagorean theorem