A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?

Answers

Answer 1

Answer:

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

Step-by-step explanation:

Let x represent the length of the first piece.

Since the second piece is 5 ft longer than the first, it can be represented by x + 5

Since the third piece is 1 ft longer than the second, it can be represented by x + 6

Create an equation that adds all of these terms up to 32, and solve for x

(x) + (x + 5) + (x + 6) = 32

3x + 11 = 32

3x = 21

x = 7

So, the first piece is 7 ft long.

Using the expressions we created, solve for the lengths of the second and third pieces.

x + 5

7 + 5 = 12

x + 6

7 + 6 = 13

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long


Related Questions

PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.

Answers

alternate exterior angles

explanation : as u can see the 2 and 8 are outside of the lines making it exterior, they are also alternate because one is on the outside of the left and one is outside of the right making it an alternate exterior angel

What is the unit multipliers for seconds and minutes

Answers

Answer:

60 seconds? 1 minute?

Step-by-step explanation:

Answer:

steps below

Step-by-step explanation:

second to minute: 1 min / 60 sec

example: 3600 sec = (3600 sec / 1) * (1 min / 60 sec)

                                = (3600 * 1 min) / (1 * 60)

                                = 60 min

minute to sec: 60 sec / 1 min

example: 5 min = (5 min / 1) * (60 sec / 1 min)

                                = (5 * 60 sec) / (1 * 1)

                                = 300 sec

12x^3-8x^2-32x factoring

Answers

Answer:

= 4x (3x+4) (x−2)

Step-by-step explanation:

12x^3−8x^2−32x

= 4x (3x+4) (x−2)

Another one plssssssssssssssssss

Answers

Answer:

3

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

I beleive it is -1 but I could be wrong. Let me know if it is and I will try and correct it

ANSWER THE QUESTION IN THE PIC BELOW PLEASE

sorry if the pic is blurry if u can't tell what it says beside the line it says 4 in and at the bottom it says 8 in

Answers

The area to the question is 32

Suppose Charli D'Amelio posted 40 dance videos to TikTok. If 65% of the videos have her making up her own moves, how many of the dance videos do not have her making up her own moves?

Answers

100-65=35%
0.4x35=14
So 14 would not be her own moves.

Step-by-step explanation:

[tex]40 - (40 \div 100 \times 65) = \\ = 40 - (0.4 \times 65) = \\ = 40 - 26 = \\ = 14[/tex]

Solve the equation for solutions over the interval ​[0°​, 360°​). 7tanθ−7/3cotθ=0

Answers

Answer:

Step-by-step explanation:

[tex]7\tan \theta-\frac{7}{3}\cot \theta=0\\\tan \theta=\frac{1}{3} \cot \theta\\\tan^2\theta=\frac{1}{3}\\\tan \theta=\pm \frac{1}{\sqrt{3}}\\when ~\tan \theta=\frac{1}{\sqrt{3}}=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-\frac{1}{\sqrt{3}}=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ[/tex]

solution set is {30,150,210,330}

The length of a rectangle is 3 inches more than three times it's width. Write an equation relating the length, “, of the rectangle to its width, w.

Answers

An equation relating the length of the rectangle to its width would be, “l+3=w”. The length plus 3 inches would be equal to the width.

Corey spent 18 minutes coloring. She spent 6 times as many minutes reading

Answers

Answer:

18 x 6 =108. she spent 108 minutes reading.

Step-by-step explanation:

What is the standard form of an equation with p = 3/2 and phi=300 degrees?
A. x-sqrt3y-3=0
B. sqrt3x-y-3=0
C. x+sqrt3y-3-0
D. sqrt3x + y + 3=0

Answers

The standard form of an equation with p = 3/2 and phi=300 degrees is; x(√3) + y - 3 = 0

What is the Standard form of the equation?

The standard form of this type pf equation has the general format as;

x(cos Ф) + y(sin Ф) = p

where;

p is perpendicular distance from origin

Ф is the angle between perpendicular and the positive x-axis.

Now, we are given;

p = 3/2

Ф = 30°

Thus, the equation of these given values will be expressed as;

x(cos 30) + y(sin 30) = 3/2

We know, that;

cos 30 = (√3)/2

sin 30 = 1/2

Thus, we have;

x((√3)/2) + y(1/2) = 3/2

Multiply through by 2 to get;

x(√3) + y = 3

⇒ x(√3) + y - 3 = 0

Read more about Standard form of Equation at; https://brainly.com/question/11600179

#SPJ1

You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 hours?

Answers

I’m pretty sure the answer is $934

PRACTICE ANOTHER A random sample of 100 people was taken. Eighty-two of the people in the sample favored Candidate A. We are interested in determining whether the proportion of the population in favor of Candidate A is significantly more than 79%. We know that the p-value is 0.2307. At the 0.05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is

Answers

Answer:

0.2307 > 0.05, which means that we accept the null hypothesis, that is, that the population proportion in favor of candidate A is close to 0.79, that is, it is not significantly more than 0.79.

Step-by-step explanation:

We are interested in determining whether the proportion of the population in favor of Candidate A is significantly more than 79%.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.79[/tex]

And the alternate hypothesis is:

[tex]H_{a}: p > 0.79[/tex]

We know that the p-value is 0.2307. At the 0.05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is?

0.2307 > 0.05, which means that we accept the null hypothesis, that is, that the population proportion in favor of candidate A is close to 0.79, that is, it is not significantly more than 0.79.

Dory can run 3.25 miles every hour. How long will it take her to run a race that is
16 1/4 miles long?

Answers

Answer:

it would take her 5 hours

Step-by-step explanation:

16 1/2 divided by 3.25 is 5

Brainliest plz

Identify all the two-dimensional figures that are cross-sections for each of the three-dimensional solids.
Cube

pentagon
square
triangle
rectangle
octogon
hexagon
trapezoid

Answers

Answer:

square, triangle, trapezoid,rectangle

The Two-dimensional figures are square, triangle, rectangle, and trapezoid.

What are two-dimensional figures?

Two-dimensional shapes do not have any thickness and can be measured on only two faces. These can be drawn on a sheet of paper with the constitution of two axises only.

The Two-dimensional figures that are cross-sections for each of the three-dimensional solids are:

squaretrianglerectangletrapezoid

Learn more about two-dimensional, here:

https://brainly.com/question/1211190

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Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selling regular cupcakes for $2.00 each and gluten-free cupcakes for $3.00 each. The number of regular cupcakes sold was determined to be 2 times the number of gluten-free cupcakes sold. If a total $350 was raised through cupcake sales over a three-week period, how many cupcakes were sold altogether

Answers

Answer:

50 gluten-free cupcakes and 100 regular cupcakes.

Step-by-step explanation:

Let's define the variables:

R = number of regular cupcakes sold

G = number of gluten-free cupcakes sold

The total amount of money raised then is:

M = R*$2.00 + G*$3.00

We also know that:

The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.

then:

R = 2*G

And we also know that the amount of money raised is $350

Then we have the equations:

R = 2*G

R*$2.00 + G*$3.00 = $350

We can replace the first equation into the second one, so we have only one variable:

(2*G)*$2.00 + G*$3.00 = $350

Now we can solve this for G.

G*$4.00 + G*$3.00 = $350

G*$7.00 = $350

G = $350/$7.00 = 50

G = 50

50 gluten-free cupcakes where sold.

And using the equation:

R = 2*G = 2*50 = 100

We can conclude that 100 regular cupcakes were sold.

please answer it's easy ​

Answers

Answer:

did not see that coming

Step-by-step explanation:

Got rickrolled

I just got Rick rolled

Draw a plane intersecting a cube to get the cross section indicated. rectangle


OA
OB
OC
OD​

Answers

I think the answer is OA

Find the distance between the points (2, 3) and (2.8).​

Answers

Answer:

d = 5

Step-by-step explanation:

For:

(X1, Y1) = (2, 3)

(X2, Y2) = (2, 8)

Distance Equation Solution:

d=(2−2)2+(8−3)2−−−−−−−−−−−−−−−√

d=(0)2+(5)2−−−−−−−−−√

d=0+25−−−−−√

d=2–√5

d=5

n+4=12 .step by step working please​

Answers

[tex]n + 4 = 12[/tex]

Subtract sides minus 4

[tex]n + 4 - 4 = 12 - 4[/tex]

[tex]n = 8[/tex]

The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=

0.15
x
+
20.8

Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit

Answers

9514 1404 393

Answer:

f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallon

Step-by-step explanation:

Given:

  daily cost function c(x) = x +11

  price-demand function p(x) = -0.15x +20.8

Find:

  daily profit function

  maximum daily profit

  quantity sold for maximum profit

  price for maximum profit

Solution:

The revenue is the product of price and demand:

  x·p(x) = -0.15x^2 +20.8x

The profit is the difference between revenue and cost:

  f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11

  f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function

__

The maximum profit will be had a the vertex of the curve, found where ...

  x = -(19.8)/(2(-0.15)) = 66

  f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40

The maximum profit is $642.40, when 66 gallons of ice cream are sold.

__

The price that will result in demand of 66 gallons of ice cream is ...

  p(66) = -0.15(66) +20.8 = 10.9

The price to charge per gallon to maximize profit is $10.90.

Find the area of the garden.

Answers

Answer:

28yd²

Step-by-step explanation:

area of square = side *side

=6*6= 36²

area of rectangle (patio)= length* breadth

=4*2=8²

area of garden= area of square - area of rectangle

=36-8

=28 yd²

Answer:

28 sq. yd

Step-by-step explanation:

For finding the area of the garden :

First Case:

Given,

Side of the big square = 6 yd

Therefore,

Area of the big square = side × side

= 6yd × 6yd

[tex] = 36 {yd}^{2} [/tex]

Second Case:

Length of the patio = 4 yd

Breadth of the patio = 2 yd

Therefore,

Area of the patio = Length × Breadth

= 4yd × 2yd

[tex] = 8 {yd}^{2} [/tex]

Last Case:

According to first and second cases,

Area of the garden

= Area of the big square - Area of the patio

[tex] = 36 {yd}^{2} - 8 {yd}^{2} [/tex]

[tex] = 28 {yd}^{2} [/tex]

Hence,

Required area of the garden is 28 sq. yd (Ans)

54v–42w.
Write your answer as a product with a whole number greater than 1

Answers

9514 1404 393

Answer:

  6(9v -7w)

Step-by-step explanation:

The greatest common factor of the two terms is 6. Any factor of 6 can be brought outside parentheses:

  54v -42w = 2(27v -21w) = 3(18v -14w) = 6(9v -7w)

Can someone help me plss

Answers

Answer:

Given, x = 2 and z = 12

z + 5x³

12 + 5×2³

12 + 5×8

12 + 40

52

Don't forget to like and mark me

38 POINTS FOR THIS

pls answer some of these questions or even all ty

Answers

Answer:

there are no questions

Step-by-step explanation:

but may i still please have a brainliest

if not then it is ok

write the questions in the comments

Answer:

What questions?

I don't see anything

What is the volume of a cylinder with base radius 2 and height 5?
Either enter an exact answer in terms of 3.14 for pi

Answers

Answer:

V ≈ 62.83

Step-by-step explanation:

Cylinder Formulas in terms of r and h

Calculate the volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Solution

V=πr 2h = π · 22 · 5 ≈ 62.83185

Therefore, the volume of the cylinder in the nearest tenths is V ≈ 62.83

What are the zeros of the function f (2) = 12 (2 + 4)?

A. (0,0) and (-4, 0)
B. (1, 0) and (-4, 0)
C. (1, 0) and (4, 0)
D. (0,0) and (4, 0)

Answers

Answer:

A. (0,0) and (-4, 0)

Step-by-step explanation:

f (2) = 12 (2 + 4)

f (x) = 12 (x + 4)

x + 4 = 0

x =  -4

12 = (0,0)

The 12 is on the outside and is multiplied to x + 4 so the 12 is considered a zero.

(0, 0) and (-4,0)

If Brianna can read 1/4 of her book in 1/2 hour, how much of her book will she read in 1 hour?

Answers

She would read 2/4 in an hour

What is the value of 6 in the number 762

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Hi,

Since the 6 is in the tenths place, it's a 60.

I hope this helps :)

Plss answer this will give brainliest 5 stars and a thx
IVE BEEN ASKING FOR 2 DAYS :( OVERDUE

Answers

Answer: -10

Step-by-step explanation:

A negative number divided by a positive number is always going to be negative

Answer:

-10

Step-by-step explanation:

Because a negative number divided by a positive number is a negative number.

What property does the following expression demonstrate? 9(3x) = (9x3)x

Answers

Answer: x=0,\root(3)(3)

Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Brainliest or a thank you please? :))

9514 1404 393

Answer:

  associative property of multiplication

Step-by-step explanation:

We assume your equation is ...

  9(3x) = (9·3)x

The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.

_____

Additional comment

It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).

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