A board is 29ft long. The second piece is 4 times longer than the first. The third piece is 3 times longer than the second. What is the length of all pieces.

Answers

Answer 1

Answer:

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

Step-by-step explanation:

As given, Total length of the board = 29 ft

Let the board is divided into 3 pieces

Suppose that the length of first piece = x ft

As given, the second piece is 4 times longer than the first

⇒Length of second piece = 4x ft

Also given, the third piece is 3 times longer than the second.

⇒Length of third piece = 3(4x) = 12x ft

Now,

As total length of board = 29

⇒ x + 4x + 12x = 29

⇒ 17x = 29

⇒ x = [tex]\frac{29}{17}[/tex] = 1.7058823 ft

∴ we get

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft


Related Questions

Out of a total of 3000 available parking spaces in a mall
parking lot, 1875 are taken. What percent of the parking
spaces are taken?

Answers

Answer:

62.5% of the parking spaces are taken.

Step-by-step explanation:

Given

Total Spaces = 3000Taken paces = 1875

To determine

What percent of the parking  spaces are taken?

The percentage of taken spaces of the part can be determined using the formula

% of Taken spaces = [Taken spaces / Total Spaces ] × 100

                               = [1875 / 3000] × 100

                               = 0.625 × 100

                               = 62.5%

Therefore, 62.5% of the parking spaces are taken.

Olivia and Ray walk to school. Olivia walks 1 4of a mile to school. Her walk is 2 3of the distance that Ray walks to school. What is the total distance, in miles, that Ray walks to school?

Answers

Answer:

ray walks 3/8th of a mile

Step-by-step explanation:

1/4 multiplyed by 2/3 and you will get 3/8


Use the distributive property to simplify the expression and then evaluate. Let x= 4 and y= -2
-6(-2x + 3y + 8)

Answers

Answer:

12v-18y-48

Step-by-step explanation:

-6(-2v+3y+8)

12v-18y-48

Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!

Answers

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

Round the fraction to the nearest whole number. 3 1/2

Answers

Answer:

4

Step-by-step explanation:

3 1/2= 3.5

5 rounds up, so it'll be 4

Answer:

4 hope this helps

show work and answer the question!! will mark brainliest

Answers

X=1    Y=0

Y-12X+15+3X^2-16X+13-Y=3X^2

-12X+15-16X+13=0

-28X+28=0

X=1

Y=3-16+13=0

f(n) = 3(n+ 1). Find f(-2)

Answers

Answer:

-6 +3= -3

Step-by-step explanation:

An ice cream shop is choosing a milk delivery service. The Spotted Cow charges $2.80 per gallon, plus a $2 delivery fee. Dairy Farms charges $2.10 per gallon, plus a $10 delivery fee. If the ice cream shop uses 20 gallons a milk per week, which service is a better deal? Group of answer choices

Answers

Answer:

The Dairy Farm is better deal.

Step-by-step explanation:

Given that:

Per gallon charges of the Spotted Cow = $2.80

Delivery fee = $2

Let,

x be the gallons of milk.

S(x) = 2.80x + 2

Putting x = 20

S(20) = 2.80(20) + 2 = 56 + 2

S(20) = $58

Per gallon charges of the Dairy Farms = $2.10

Delivery fee = $10

D(x) = 2.10x + 10

Putting x = 20

D(20) = 2.10(20) + 10 = 42 + 10

D(20) = $52

Hence,

The Dairy Farm is better deal.

A 4 sided polygon has diagonals that are perpendicular. The adjacent sides are congruent. What is the best name for the polygon?

1. Parallelogram
2. Rhombus
3. Isosceles Trapezoid
4. Kite

Answers

Answer:

A Kite

Step-by-step explanation:

I know, almost 2 years late. It's a kite and I don't know why.

please help me !!! easy question and i’ll give brainliest

Answers

Answer:

x = 35.1 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos x = 27/33

Take the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1(27/33)

x =35.09680123

To the nearest tenth

x = 35.1 degrees

Answer:

x=35.1

Step-by-step explanation:

cos(x)=[tex]\frac{27^{2}+33^{2}-360 }{2(27)(33)}[/tex]

x=35.1(correct to the nearest tenth)

What is 0.0000000053 in standard form?

Answers

Answer:

5.3

Step-by-step explanation:

I need help quick because it’s timed.

Answers

If IJ is 6 then LJ is most likely 3

Someone help fast! please

Answers

Answer:

48cm

Step-by-step explanation:

96/12=8

This means that 8 is the factor by which the diagram and the actual ramp vary

so then you multiply 8 times the height on the diagram to find the true height

8x6=48

Increase 386.3 by 4%

Answers

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

how do i do this 0.7x = 1.8 − 0.4x

Answers

Answer:

x = 1.636364

x = 1.64 (simplified)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.7x=1.8−0.4x

0.7x=1.8+−0.4x

0.7x=−0.4x+1.8

Step 2: Add 0.4x to both sides.

0.7x+0.4x=−0.4x+1.8+0.4x

1.1x=1.8

Step 3: Divide both sides by 1.1.

1.1x/1.1=1.8/1.1

x=1.636364

x = 1.64 (simplified)

Answer:

x = 1.636364

Explanation:

0.7x = 1.8 − 0.4x

Simplify both sides of the equation

0.7x = 1.8 − 0.4x

0.7x = 1.8 + −0.4x

0.7x = −0.4x + 1.8

Add 0.4x to both sides

0.7x + 0.4x = −0.4x + 1.8 + 0.4x

1.1x = 1.8

Divide both sides by 1.1

1.1x / 1.1 = 1.8 / 1.1

x = 1.636364

- PNW

Find Cos b in the triangle

Answers

Answer:

3/5

Step-by-step explanation:

SOHCAHTOA

Cos- adjacent/hypotenuse

adjacent side: 3

hypotenuse: 5

adj/hyp: 3/5

34=16+x helpppppp please due in 30 minutes

Answers

Answer:

34-16=18

so x = 18

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Subtract 16 from both sides to get x by itself. 34 - 16 = 18. 18 = x

What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?

Answers

Answer: = (-2,3)

Step-by-step explanation:

Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin:

[tex](x,y)\to (-y,x)[/tex]

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)

Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy

Step-by-step explanation:

PLS HELP PLS ITS TIMES ILL GIVEBRAINLIEST IF CORRECT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Its B, Black males over 21 years of age

Answer:

b

Step-by-step explanation:

WHO's BIRTHDAY was on 24 January?
my bday was yesterday
mentors can u please not remove this because i want this to be here and I WILL be VERy HApy

Answers

happy belated birthday!

I don’t get it please can I have help :)

Answers

7^2 x cube root 7
= 7^2 x 7^1/3
= 7^2+1/3
= 7^7/3

Answer:

[tex] {7}^{2} \times \sqrt[3]{7}\\ = {7}^{2} \times {7}^{ \frac{1}{3} } \\ = {7}^{(2 + \frac{1}{3}) } \\ = {7}^{ \frac{(6 + 1)}{3}} \\ = \boxed{{7}^{ \frac{7}{3}}}✓[/tex]

7⁷/³ is the right answer.

Helpppppppppp plzzzzz

Answers

so do all the question like this types

thankyou for your question

All of the following are equivalent except____.
4y
(4)(y)
4•y
4+y

Answers

Answer:

All the options are equivalent except;

4 + y

Step-by-step explanation:

The question relates to the number of ways the operation of a multiplication operation can be represented algebra

1) The coefficient of a variable is a multiplier of the variable

Therefore;

4y = 4 × y

2) When given two numbers or variables in a mathematical expression that are separated by parenthesis, then it is an indication that the two numbers are meant to be multiplied

Therefore;

(4)(y) = 4 × y

3) The dot symbol, '·', placed between two numbers, a number and a variable or two variables, is a representation of multiplication of the two quantities

Therefore;

4·y = 4 × y

However, multiplication, and addition are different mathematical operations that produce different results when applied;

Therefore;

4 + y ≠ 4 × y.

Heather performs an experiment to measure the acceleration of an object due to earths gravitational and discovers the acceleration of an object is 10.91 meters per second. The actual acceleration of the object is 9.80 meters per second.

Answers

The percentage error in the acceleration is 11.3%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The actual acceleration of the object is 9.80 meters per second.

The acceleration of an object is 10.91 meters per second.

Now,

Percentage error.

= (Experiment acceleration - Actual acceleration) / Actual acceleration x 100

= (10.91 - 9.80) / 9.80 x 100

= 1.11 / 9.80 x 100

= 11.33 %

Thus,

The percentage error is 11.3%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ1

On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). A point is at (negative 4, negative 6).
What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?

x = −6
x = −4
y = −6
y = −4

Answers

Answer:

The equation of parallel line passes through the point (−4,−6 ) is:

y = -6

Please also check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given that on a coordinate plane passes through (-8, 4) and (8, 4).

As the value of y remains the same for any value of x.

i.e. y = 4 for any value of x.

Thus, the given line is a horizontal line.

We know that the slope of a horizontal line is zero.

Also it is clear that at x = 0, the value of y = 4. In other words, we can observe that the y-intercept b = 4.

so substitutig m = 0 and b = 4 in the slope-intercept form

y = mx + b

y = 0x + 4

y = 4

Therefore, the equation of line passing through the point  (-8, 4) and (8, 4) is:

y = 4

Now, we also know that the slope of parallel lines is equal.

Thus, the slope of the line parallel to the line y = 4 is also 0.

As the parallel line passes through (−4,−6 ).

so substituting m = 0 and (-4, -6) in the slope-intercept form of line equation to determine the y-intercept b

y = mx + b

(-6) = 0(-4) + b

-6 = 0 + b

switching the sides

0 + b = -6

b = -6

Thus, the slope-intercept b = -6

now substituting m = 0 and b = -6 in the slope-intercept form of line equation

y = mx + b

y = 0(x) + -6

y = 0 - 6

y = -6

Therefore, the equation of parallel line passes through the point (−4,−6 ) is:

y = -6

Please also check the attached graph.

Answer:

1351

Step-by-step explanation:

It costs $15.50 per hour to rent a scooter and $22.80 per hour to rent a watercraft. Use the expression 15.5s + 22.8w to determine how much it would cost to rent a scooter for 3.5 hours and a watercraft for 1.75 hours.

Answers

Answer:

94.15

Step-by-step explanation:

15.5 x 3.5=  54.25

22.8 x 1.75=  39.9

54.25+39.9=94.15

What is the absolute value of -7?
1/7
-1/7
-7
7

Answers

Answer:

7 :)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Pls help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

16x - 9 is the expression

Step-by-step explanation:

2x + 2x = 4x co effecients with the same variables can be added then I multiplied 4x by 4x which would 16x then later got the expression (16x - 9).

16x-9 is the correct answer

1. Many nonmetals are weak and
2. The property of an element to be beaten into sheets is
known as
3. The total space occupied by an object is
5.
is a gas and is an

Answers

Answer:

44

Step-by-step explanation:

i did 4 + 40 = 44 :)))))

If water freezes at 0ᴼC, which temperature is above freezing

Answers

Answer:

32 F

Step-by-step explanation:

The answer would be Anything above 0*c
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