At a neighbor's garage sale, Rodrigo purchased a big bag of assorted bolts, nuts, screws, and washers. He picks a piece out of the bag, records its type, puts it back in the bag, and mixes them up. He does this 18 times and counts 3 bolts, 6 nuts, 5 screws, and 4 washers.
Based on the data, what is the probability of choosing a washer?
Write your answer as a fraction or whole number.

Answer:

0.1042, 10.42%

Answer:

V = 104 in³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = lbh ( l is length, b is breadth, h is height )

here l = 13 , b = 2, h = 4 , then

V = 13 × 2 × 4 = 26 × 4 = 104 in³

Answer:

240

Step-by-step explanation:

30/2.5 = 12 minutes, 12*5 = 60 laps per thirty minutes. 60 * 4 days = 240 laps

The equation of the line in point-slope form is: y - 12 = -4/5(x - 5).

It is given as, y - b = m(x - a), where (a, b) is a point on the line and m is the slope of the line.

Rewrite 5x-4y=10 in slope-intercept form:

-4y= - 5x + 10

y= -5x/-4 + (10/-4)

y = 5/4x - 5/2

The slope is 5/4

The line that is perpendicular to 5x-4y=10 will have a slope which is the negative reciprocal of 5/4, which is -4/5.

Substitute (5, 12) and -4/5 into y - b = m(x - a):

y - 12 = -4/5(x - 5) [point-slope form]

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Answer:

Positive association Hope this helps

Answer:

Q' (2,4)

R' (3,1)

S' (5,3)

Step-by-step explanation:

When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.

Answer:

Q=(2,4)

R=(3,1)

S=(5,3)

Step-by-step explanation:

The x value stays the same when reflecting in the x axis

And the y value would be an equal distance from the y-axis for all coordinates so you would make -4 into 4 ecause they are both 4 away from the y-axis line.

Please give brainliest :)

Answer:

answer can be any numbers but I will choose

x = 50° and y =130°

Step-by-step explanation:

We know all the inner degree of rhombus =360°

Then, x+y+x+y = 360°

or,2x + 2y = 360°

or, 2(x + y) = 360°

or, x + y = 360°/2

or,x + y = 180°

Let x = 50° then

50° + y = 180°

or, y = 180° - 50°

or, y = 130°

Answer:

A

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

  = (2x + 10)(2x + 6) ← expand using FOIL and equate to 140

 = 4x² + 12x + 20x + 60 = 140

= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )

4x² + 32x - 80 = 0  

Answer:

A: 4x² + 32x - 80 = 0

Step-by-step explanation:

Formula

Solving :

Answer:

44,15,29

Step-by-step explanation:

8 + 11 + 25 + p=

simplify

44 + p

8 + 11 + 25 + p = 15

p=29

but your real answer for p is p= 44

The total surface area of the three figures are 702 square feet.

According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.

In this case, we need to estimate the total surface area ([tex]A_{T}[/tex]), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (n), no unit, and the surface area of each piece (A).

Now we proceed to calculate the total surface area:

[tex]A_{T} = n\cdot A[/tex]

[tex]A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\[/tex]

[tex]+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ][/tex]

[tex]A_{T} = 702\,ft^{2}[/tex]

The total surface area of the three figures are 702 square feet. [tex]\blacksquare[/tex]

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Answer:

3x + 5x = 720

8x = 720

x = 90

1st) 3x = 3 x 90

270

2nd) 5x = 5 x 90

450

Answer:

Part A:

x > 13

Part B:

How to show this inequality on a number line is a closed circle on 13, going left of 13.

Step-by-step explanation:

Part A:

x represents the age of children who are allowed to operate the boat.

Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,

the inequality x > 13 reads x (the age of children) is greater than or equal to 13

Part B:

How to describe inequalities on a number line;

Closed circle: less than or equal to - or - greater than or equal to ( < , > )

Open circle: less than - or - greater than ( < , > )

To the right of the number on the number line: greater than

To the left of the number on the number line: less than

Answer:

Part A

Let x = age of child (in years)

Given:

"Children under the age of 13 are not allowed to operate a boat"

Therefore, children should be 13 or older:

⇒ x ≥ 13

Part B

Place a closed circle at 13.

Shade to the right of the closed circle.

[tex]\huge\fcolorbox{blue}{yellow}{Answer:}[/tex]

══════════════════════

Answer:

[tex] = n\geq -64 [/tex]

Solution:

[tex]\frac{ 3 }{ 4 } n+12 \geq -36[/tex]

[tex]\frac{3}{4}n\geq -36-12 [/tex]

[tex]\frac{3}{4}n\geq -48 [/tex]

[tex]n\geq -48\times \left(\frac{4}{3}\right) [/tex]

[tex]n\geq \frac{-48\times 4}{3} [/tex]

[tex]n\geq \frac{-192}{3} [/tex]

=[tex]n\geq -64 [/tex]

═════════════════════

Explanation:

#Carry on learning

An expression is defined as a set of numbers, variables, and mathematical operations. The simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplified product of the binomial (2x+3) and the trinomial (x²+x-2) can be written as,

[tex](2x+3)(x^2+x-2)\\\\= (2x \times x^2)+(2x \times x) + (2x\times -2) + (3\times x^2)+(3\times x)+(3\times -2)\\\\= 2x^3 + 2x^2-4x+3x^2+3x-6\\\\= 2x^3+5x^2-x-6[/tex]

Thus, the simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

Learn more about Expression:

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Answer:

Letter C

Step-by-step explanation:

A function has to have no repeating x-intercepts.

Step-by-step explanation:

it seems we are dealing with subtraction, as the differences between the 1st and second, and between the 2nd and 3rd numbers are equal : -7

so, we can assume that the sequence is created by always subtracting 7.

a1 = 352

a2 = a1 - 7 = 352 - 7 = 345

a3 = a2 - 7 = a1 - 7 - 7 = 352 - 7 - 7 = 338

an = an-1 - 7 = a1 - 7(n-1) = 352 - 7(n-1)

a43 = 352 - 7(43-1) = 352 - 7×42 = 352 - 294 = 58

Answer:

35.53 meters = circumf

Step-by-step explanation:

76 degrees out of 360 degrees = 7.5 m

76 / 360    * x   = 7.5

x = 35.53 m

Answer:

25.12 yd

Step-by-step explanation:

Radius (r) = 4 yd

π = 3.14

Circumference of the circle

= 2πr

= 2 × (3.14) × (4)

= 25.12 yd

_________

Hope it helps ⚜

Answer:

25.12 yards

Step-by-step explanation:

Circumference formula : 2πr

Solving

Answer:

[tex]a_n=33+6n[/tex]

Step-by-step explanation:

General form of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

Given terms:

To find the common difference, subtract a term from the next:

[tex]d=a_3-a_2=51-45=6[/tex]

Substitute [tex]a=39[/tex] and [tex]d=6[/tex] into the formula:

[tex]\implies a_n=39+6(n-1)[/tex]

[tex]\implies a_n=39+6n-6[/tex]

[tex]\implies a_n=33+6n[/tex]

Graph the cubic using its end behavior and a few selected points.

Falls to the left and rises to the right

x    y

-2   20

-1    16

0  0

1  -16

2  -20

Answer: 11

Step-by-step explanation:Since the y coordinates are the same, the distance is the values between the x coordinates 6 - -5

6+5

11

A. 51

Step-by-step explanation:

Virtical angles are congruent

Answer:

1:6 is the answer

Step-by-step explanation:

If X is equal to 1, Y would equal 6...

Because X is /3 of half of Y

so if Y is 6 then divide by 2 then divide by 3 to get 1

the reverse... (X x 3) x 2 = Y

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:

$3172.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

[tex]3\frac{1}{3}[/tex] or [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

We could use the combined rate equation to find the combined rate of work.

Combined rate of work formula: [tex]\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }[/tex], where [tex]t_{1}[/tex] is the individual time for object A, [tex]t_{2}[/tex] the individual time for object B and [tex]t_{b}[/tex] is the time for A and B together.

The time it takes Irina to paint the room alone, [tex]t_{1}[/tex] = 5 hours

The time it takes Paulo to paint the room, [tex]t_{2}[/tex] = 10 hours

1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change [tex]t_{b}[/tex] into an [tex]x[/tex].

[tex]\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }[/tex]

2) Add the fractions.

[tex]\frac{1}{x} = \frac{3}{10}[/tex]

3) Solve for the [tex]x[/tex].

[tex]x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\[/tex]

4) Change them into a mixed fraction.

[tex]3\frac{1}{3}[/tex]

Note: [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{3}[/tex] are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose [tex]3\frac{1}{3}[/tex].

Answer:

Your dog weighs 9.97903kg.

Step-by-step explanation:

[tex]1lb = 0.453592kg[/tex]

[tex]22lbs * 0.453592kg/lbs = 9.97903kg[/tex]

Answer:

The value of x is 55⁰.

Step-by-step explanation:

Let n be X,

(n+7)⁰+(3n-47)⁰=180⁰

or,n+7+3n-47=180

or,4n-40=180

or,4n=180+40

or,4n=220

or,n=220/4

.:n=55⁰##