The following data points represent the number of red candy pieces in each of Nate's bags of candy.
4, 7, 11, 11,2,5,8
Using the data, create a histogram

Step-by-step explanation:

When n = 2,

(2)²a + (2)b = 8.

=> 4a + 2b = 8.

When n = 5,

(5)²a + (5)b = 65.

=> 25a + 5b = 65.

4a + 2b = 8. => 10a + 5b = 20

25a + 5b = 65

- (10a + 5b = 20)

=> 15a = 45, a = 3.

Therefore 4(3) + 2b = 8, 2b = -4, b = -2.

We have a = 3 and b = -2.

Hence when n = 10,

an² + bn

= (10)²(3) + (10)(-2)

= 300 - 20

= 280.

The 10th term of the sequence is 280.

Answer:

The 10th term of the sequence is 280

Step-by-step explanation:

When n = 2,

(2)²a + (2)b = 8.

=> 4a + 2b = 8.

When n = 5,

(5)²a + (5)b = 65.

=> 25a + 5b = 65.

4a + 2b = 8. => 10a + 5b = 20

25a + 5b = 65

- (10a + 5b = 20)

=> 15a = 45, a = 3.

Therefore 4(3) + 2b = 8, 2b = -4, b = -2.

We have a = 3 and b = -2.

Hence when n = 10,

an² + bn

= (10)²(3) + (10)(-2)

= 300 - 20

= 280.

Answer:

x = 5 or x = -5

Step-by-step explanation:

I took the k12 quiz

The solutions are x = 5 and x = -5 for the given equation √10x+50=x+5.

Two or more expressions with an Equal sign is called as Equation.

To solve for x in the equation √(10x+50) = x+5, we can first isolate the radical term by squaring both sides:

(√(10x+50))²= (x+5)²

Simplifying the left side gives:

10x+50 = x² + 10x + 25

Combining like terms and moving all terms to one side, we get:

x² - 25 = 0

This is a quadratic equation that can be factored as:

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

Therefore, the solutions are x = 5 and x = -5 for the given equation √10x+50=x+5.

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Answer:

The system shown is consistent ⇒ A

Step-by-step explanation:

A consistent system of equations has at least one solution

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

From the given graph

∵ The two lines intersected at one point

∴ This point lies on the two lines

→ That means this point satisfies the equations of the lines

∴ The system of equations represented by the two lines has 1 solution

→ By using rule 3 above

∴ The system shown is consistent

Answer:

y = -2x

Step-by-step explanation:

y + 4 = -2 (x - 2)

Expanding the equation out, we get:

y + 4 = -2x + 4

Subtracting 4 from both sides, we get:

y = -2x.

Answer:

AD∥BC,BD is the transversal line

⟹∠ADB=∠DBC (∵alternate angles)

⟹z=30

Step-by-step explanation:

Answer:

[tex]consider \: {1}^{st} and \: {3}^{rd} columns\\ slope = \frac{(96 - 32)}{(12 - 4)} \\ = \frac{64}{8} \\ slope = 8[/tex]

Answer:

220 student and 241 adults

Step-by-step explanation:

x+y=461

3x+4y=1624

y=-x+461-----> 3x+4(-x+461)=1624

                              -x+1844=1624

                             +x  -1624

                                   x=220

3(220)+4y=1624

660+4y=1624

4y=964

y=241

There are 241 adult tickets and 220 student tickets did Sara sell.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sara sold 461 tickets for a school play.

And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.

Let number of adult tickets = x

And, Number of student tickets = y

Hence, We get;

⇒ x + y = 461  .. (i)

And, 4x + 3y = 1624 .. (i)

Multiply by 3 in (i);

⇒ 3x + 3y = 1383  .. (iii)

Subtract form (ii);

⇒ x = 241

And, From (i);

⇒ x + y = 461

⇒ 241 + y = 461

⇒ y = 461 - 241

⇒ y = 220

Thus, There are 241 adult tickets and 220 student tickets did Sara sell.

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Answer

x=5

Step-by-step explanation:

Answer:

Susan makes [tex]13\frac{1}{2}[/tex] pints of punch.

Step-by-step explanation:

Consider the provided information.

We know that:

2 cups (c) = 1 pint (pt)

4 cups (c) = 1 quart (qt)

16 cups (c) = 1 gallon (gal)

So 3 cups = [tex]1\frac{1}{2}[/tex] pint

1 gallon = 16 cups = 8 pint

The three mixed together would make [tex]1\frac{1}{2}+8+4=13\frac{1}{2}[/tex] pints of punch.

Hence, Susan makes [tex]13\frac{1}{2}[/tex] pints of punch.

Step-by-step explanation:

-4(2x+5)

-8x+-20

...................

Answer:

15x+60<240     is x<12

Step-by-step explanation:

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

15x+60<240

Step 1: Subtract 60 from both sides.

15x+60−60<240−60

15x<180

Step 2: Divide both sides by 15.

15x

15

<

180

15

x<12

Answer:

x<12

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

Answer:

260 square feet.

Answer:

Find translation Using the coordinates of the given image with corresponding vertices coordinate of the object. After getting the translation,find the coordinates of the two other vertices of the image from formula IMAGE=OBJECT + TRANSLATION

Answer:

Translations move every point on a figure the same distance and direction. You can use the one vertex and its image to find the rule that maps the triangle to its image. This rule can then be used to find the images of the other vertices of the triangle. Plot the vertices and connect them to form the image of the triangle.

Step-by-step explanation:

Answer:

-2x that's the answer, I think

Step-by-step explanation:

Yung negative 4 I subtract mo sa positive 9x ang sagot ay 5x kase may negative sign yung 4 kaya kailangan mong I subtract then yung 5x I subtract mo ata ulit sa negative 7 ang sagot ay - 2 yan na Explanation ko.

Pero di ako sure dyan but I hope it helps

Answer:

I think you're supposed to do 85/4

Step-by-step explanation:

85 devided by 4

$21.25 for each shirt

Answer:

[tex]a:b = -17:1[/tex]

Step-by-step explanation:

Given

[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]

Required

Find a:b

[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]

Cross Multiply

[tex]3(a-3b) = 4(a+2b)[/tex]

Open brackets

[tex]3a - 9b = 4a + 8b[/tex]

Collect Like Terms

[tex]3a - 4a = 8b+9b[/tex]

[tex]-a = 17b[/tex]

Divide through by -b

[tex]\frac{-a}{-b} = \frac{17b}{-b}[/tex]

[tex]\frac{a}{b} = \frac{17}{-1}[/tex]

[tex]\frac{a}{b} = \frac{-17}{1}[/tex]

Represent as a ratio

[tex]a:b = -17:1[/tex]

Answer:

Andre is wrong

Step-by-step explanation:

Andre is wrong because 1/4 is a positive number and -3/4 is a negative number so that makes Andre wrong for that, but if it is who is closer to 0 then Andre is right because when you look at it on a table you can see that 1/4 is closer.

Answer:

110°

Step-by-step explanation:

Parallelograms have angles equal to the angle opposite to it, in this case the 110°

Answer:

9-24=4(3)

-15=4×3

-15=12

Answer:

9-24= 4(3)

Multiply first

9-24=12

Then subtract the other digits in the side

-15=12

Step-by-step explanation:

Follow the PEMDAS rule which it to do which ever one of these first before furthering the math.

(Parentheses, exponents, multiply, division, addition and subtraction)

BUT hopefully there wasn’t a missing letter variable in the equation so you could get a single answer

Answer:

4, 6/9    sry if wrong

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

it meets the mean

Answer:

88%

Step-by-step explanation:

:)

It rlly is possible if u dont have the value for x or what it's equal at the end

Answer:

The fifth integer in row 10 using the number tree pattern is 515.

Step-by-step explanation:

The attached picture is instrumental to understanding the solution to this. There are different methods to approach this problem. But we will use observations to solve the problem.

Looking at the tree diagram, we see that the first row has 1 integer, the second has 2, the third has 4 and the fourth has 8. From here, we can see that a row has 2^n numbers where n = 0, 1, 2, 3, 4, . . .

Row 1 = 2^0 = 1 number

Row 2 = 2^1 = 2 numbers

Row 3 = 2^2 = 4 numbers

Row 4 = 2^3 = 8 numbers. And so on.

Also we notice that the last number in row 4 is 14. This can be gotten by adding the total number of numbers from row 1 to row 4 which is

1 + 2 + 4 + 8 = 15 but the first number on the chart is 0 which means we have to take out the first integer to get the last integer on row 4. Doing this, we have 14.

Since our aim is to know the fifth number in row 10, then we need to know the last number in row 9 then count from the first number in row 10 to the fifth. Using 2^n to get the number of numbers in each row like we've done above we can add the number of numbers to know the total numbers we have from row 1 to row 9 as follows:

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 = 511

As we've said previously, 0 is the first integer in the tree and should be removed to know the last number in row 9. This would be 510.

If 510 is the last number in row 9 is 510, then the first number in row 10 would be 511. Counting to the fifth number we get to 515. Thus the fifth number in row 10 using the number tree pattern is 515.

Answer: 480 children's tickets

Step-by-step explanation:

On the Friday, 720 adult tickets were sold.

This number was 9 times the number of children's tickets sold. Number of adult tickets sold was therefore:

= 720/9

= 80 children's tickets.

On the Saturday, 6 times the above amount was sold:

= 6 * 80

= 480 children's tickets

9514 1404 393

Answer:

  49.1°, 40.9°

Step-by-step explanation:

Let x represent the smaller angle. Then the larger is x+8.2 and the total of the two angles is ...

  x + (x +8.2) = 90

  2x +8.2 = 90 . . . . . collect terms

  x + 4.1 = 45 . . . . . . .divide by 2

  x = 40.9

  x +8.2 = 49.1

The two angles are 49.1° and 40.9°.

Answer:

1) {0,1,4}

Step-by-step explanation:

(x,y)

domain is x

range is y

so in this case the domain is 0,1,4