Jenny randomly selects 20 boxes of crayons from the shelf and finds two boxes with at least one broken crayon. If the shelf holds 130 boxes, how many would you expect to have at least one broken crayon?

By finding the line and evaluating, we will see that x = 41/11

First, we need to get the line, for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So here we use the points (-5, -6) and (1, 5), the slope will be:

a = (5 - (-6))/(1 - (-5) = 11/6

So the line is something like:

y = (11/6)*x + b

To get the value of b, we use one of the given points, for example if we use the second point we must have:

5 = (11/6)*1 + b

5 - 11/6 = b

30/6 - 11/6 = b

19/6 = b

So the line is:

y = (11/6)*x + 19/6

Now, to find the value of x, we replace y by 10:

10 = (11/6)*x + 19/6

60/6 - 19/6 = (11/6)*x

41/6*(6/11) = x = 41/11

So the person in the image got it correct, but with other method.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Lines are colinear so slopes must be equal

Answer:

98 cm²

Step-by-step explanation:

Lateral surface area = surface area of the sides ONLY of the object

⇒ lateral SA = B + C + D = 35 + 28 + 35 = 98 cm²

For finding surface area we will add them all.

Surface area

[tex]\\ \rm\hookrightarrow A+B+C+D+E[/tex]

[tex]\\ \rm\hookrightarrow 10+35+28+35+10[/tex]

[tex]\\ \rm\hookrightarrow 118cm^2[/tex]

As we need LSA so let out A and E

Answer:

324

Step-by-step explanation:

4x3=12

12x3=36

36x3=108

108x=324

6350×90÷10

=6350×9

=57,150

Original Price=57,150

[tex] log_{3}( {24})^{2} = 2 log_{3}24[/tex]

Thus the second option is the correct answer.

Answer:

The length is always 1.6 times larger than the width.

When going from each model: A to B to C to D, the Width has an added 5cm each time.

When going from each model: A to B to C to D, the Length has an added 8cm each time.

Step-by-step explanation:

8/5 = 1.6

16/10 = 1.6

24/15 = 1.6

32/20 = 1.6

The length is 1.6 times larger than the width.

When going from each model: A to B to C to D, the Width has an added 5cm each time.

When going from each model: A to B to C to D, the Length has an added 8cm each time.

Answer:

The rule for a reflection over the y -axis is (x,y)→(−x,y).

Step-by-step explanation:

Answer:

y=3/4x+2

Step-by-step explanation:

2 is the y intercept.

Go up 3 right 4 to reach a even point.

Answer:

when x is 0 y is 7

Step-by-step explanation:

just counting down till x is 0

Answer:

(answer below)

Step-by-step explanation:

[tex]-2\geq x\leq 7[/tex] and -8 < x> -1

Answer:

last choice

Step-by-step explanation:

be the best option because the x+8 cross each other out which leaves you with x+3 x-3 over x²+4 unless you cross the x out but no option on there haves that

Answer:

B?

Step-by-step explanation:

Answer:

5.84$

Step-by-step explanation:

dividing 17.52$ by 3 will get you 5.84 inverted 5.84$+5.84$+5.84$=17.52$

Answer:

1: 69.23% 2.38.047%

Step-by-step explanation:

I belive these are the correct answers.

Answer:

12C

Step-by-step explanation:

4 hours from 12-8= 4 hours

4x2=8

8+5=13

13-1 C because its 30 mins difference

12C

Answer:

The value of x is 2 and y is (-5)

Step-by-step explanation:

First name the equation

Now, Multiply equation (1) by 3 we get,

3 × (-7x + y = – 19)

-21x + 3y = – 57

Now, Eliminate

-21x + 3y = – 57

-2x + 3y = – 19

+ – +

-19x = -38

x = -38/-19

x = 2

Now, Put the value of x in equation (2) we get the value of y.

-7x + y = – 19

-7(2) + y = – 19

-14 + y = -19

-14 + 14 + y = -19 + 14

y = -5

Thus, The value of x is (-5) and the value of y is 2.

-7x + y = – 19

-7(2) + (-5) = – 19

-14 – 5 = – 19

-19 = -19

-2x + 3y = – 19

-2(2) + 3(-5) = – 19

-4 – 15 = – 19

-19 = -19

Here, L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72

Answer:

y = -3/2x - 8

Step-by-step explanation:

It is given to us that we have a slope of -3/2, and one of its points is (-2,-5)

So let's substitute the values in the equation y = mx + b to find b

-5 = -3/2(-2) + b

-5 = 3 + b

-3    -3

-8 =  b

b  =  -8

Now that we have b and m, we plug it into y = mx + b, getting y = -3/2x - 8

Comment if you have any questions! Your welcome :D

213_5 = 2*5^2 + 1*5 + 3 = 58 base 10

1111_5 = 5^3 + 5^2 + 5 + 1 = 156 base 10

Answer: Only Statement 1 is True.

Step-by-step explanation:

A box is essentially a rectangular prism, which has 8 corners. Tubes, pipes, and cans are cylinders because the corss-section of them are circular and the connection between the bases are parallel.

Answer:

Mrs. Thomas will have 24 inches knitted in 8 days!

Step-by-step explanation:

24/3 -= 8!

Hope this helps!

Answer: y + 4 = (x - 3)2, y = (x - 1)(x - 5

Step-by-step explanatin

In this lesson, you will see some advantages of a third form called factored form. Below are graphs of three equations

Answer:

Step-by-step explanation:

a. 100005

1 x 1000000 + 0 x 100,000 +  0 x 10000 + 0 x 1000 + 0 x 100 +  0 x 10 + 5 x1

1 x 10^6  + 0  x 10^5  + 0 x 10^4  + 0 x 10^3 + 0 x 10^2 +  0 x 10^1  + 5 x 1

= 100,000 + 0 + 0 +0 +0 + 5

b.  84016

 8 x 10000 + 4 x 1000 + 0 x 100 + 1 x 10 + 6 x 1

80000 + 4000 + 0 + 10 + 6

c. 9078

9 x 1000 + 0 x 100 + 7 x 10  + 8 x 1

9000 + 0 +7 + 8

d. 113

1 x 100 + 1 x 10 + 3 x 1

100 + 10 + 3

e. 75

7 x 10 + 5 x 1

70 + 5

The pairs of integer factors of the given integer 7 are; -1, 1 and -7, 7.

The integer number given in the task content, whose pair of integer factors are to be determined is; 7.

By observation, it follows that the given integer, 7 is a prime number. On this note, only 1 and 7 are actual factors.

Ultimately, the required pair of integer factors are; -1, 1 and -7,7.

Read more on factors;

https://brainly.com/question/1258294

Answer:

A ans - 50/6 process I an sending

Answer:

Double Facts are additions in which a number is added to itself. For example, 1 + 1, 2 + 2 etc. Internalizing double facts are helpful building blocks in developing fluency in adding single digit numbers.

Step-by-step explanation:

Answer:

[tex]50\%[/tex]

Step-by-step explanation:

Let x be the percentage then...

[tex]x\%(4)=2[/tex]

Start by dividing both sides by 4:

[tex]x\%=\frac{2}{4}[/tex]

Simplify the fraction:

[tex]x\%=\frac{1}{2}[/tex]

Then, multiply the fraction by 50/50, so we can get a number over 100 (that number would be the percentage). Note we can only multiply it by 50/50 since it is essentially multiplying the fraction by 1.

[tex]x\%=\frac{1}{2}*\frac{50}{50}\\x\%=\frac{50}{100}\\x=50\%[/tex]

Solution:

Note that:

Simplify the equation and solve.

Hence, 50% of 4 is 2.

Answer:

W and T are midpoints of the legs

Step-by-step explanation: