a 56-inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece if x represents the length of the first piece find the length of all three pieces ​

A 56-inch Board Is To Be Cut Into Three Pieces So That The Second Piece Is Three Times As Long As The

Answers

Answer 1

Step-by-step explanation:

length of 1st piece = x inch

length of 2nd piece = 3x inch

length of 3rd piece = 4x inch

x + 3x + 4x = 56

8x = 56

x = 7

Thus,

length of 1st piece = 7 inch

length of 2nd piece = 3 × 7 = 21 inch

length of 3rd piece = 4 × 7 = 28 inch


Related Questions

In a grocery store, the total number of cashiers and stockers must be at least 12 but not more than 20. There must be at least 5 cashiers and
at least 3 stockers.
Let x represent the number of cashiers and y represent the number of stockers.
Which system of inequalities can be used to find the number of cashiers and stockers required?
A
(x>5
ly> 3
x + y > 12
x + y > 20
C.
(x>5
y> 3
x + y > 12
(x + y<20
B.
(x 25
y23
x + y s 12
(x + y = 20
D.
(x25
y23
x + y 2 12
(x + y s 20

Answers

I think the answer is A

Am I the only one that hates to see the “I can’t find the answers but here’s a link blah blah blah”

JUST GIVE ME THE ANSWER IM LOOKING FOR

Answers

Answer:

I know right! There so annoying!!

I agree because not all of us can access links and it's lazy

The line passes through the point (-4,1) and is perpendicular to the line y=1/2x-4.

Answers

Answer:

y=-2x-7

Step-by-step explanation:

lines are typically written in y=mx+b form, where m is the slope and b is the y intercept

we are given the line y=1/2x-4

perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1

so to find the slope of the new line, use this formula:

1/2m=-1

multiply by 2

m=-2

so the slope is -2

here's the equation so far, written in y=mx+b form

y=-2x+b

we need to find b

because the line passes through the point (-4,1), we can use it to solve for b

substiute -4 as x and 1 as y

1=-2(-4)+b

1=8+b

-7=b

so b is -7

therefore the line is:

y=-2x-7

Hope this helps! :D

a fruit ponch can is 1/4 or 35 L ?​

Answers

Answer:

35 L

Step-by-step explanation:

because it cant be 1/4

Bill washes his mom's car once every 2 weeks and gets paid $20.00 each time. How much does he earn in 22 weeks?
$264.00
$240.00
$176.00
$220.00
Next
Reset

Answers

Answer:

Bill earns $220.00 in 22 weeks.

Step-by-step explanation:

If he is paid 20 dollars every 2 weeks for a car wash, we need to find out how many he gets for 22 weeks.

20 dollars = 2 weeks, to find 22, multiply both of the values by 11 to get to 22.

11(2 weeks = 20 dollars)

22 weeks = 220.

The amount of money earned in 22 weeks is $220.

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The amount for each car wash = $20

Number of car wash in two weeks = 1

Now,

Number of car washes in 22 weeks.

= 22 / 2

= 11

Now,

The amount earned in 11 car washes.

= 11 x 20

= $220

Thus,

Amount earned in 22 weeks is $220.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Please answer all of these for 50 points!!!

Answers

Answer:

Line PQ = Line XY

Line QR = Line YZ

Line RP = Line ZX

Angle P = Angle X

Angle Q = Angle Y

Angle R = Angle Z

Step-by-step explanation:

They're the same shape, just rotated and with different letters.

PLZ CLICK!! Need help ASAP! I have a time limit.

Answers

Answer:

what's the question for this?

Answer:

33

Step-by-step explanation:

so this is perimeter and area

Salina's age is one-quarter the age of her aunt. If a represents her aunt's age, which expression represents Salina's
age?
4a
a-4
a+4
A over 4

Answers

Answer:

D. A over 4

Step-by-step explanation:

One quarter is equal to [tex]\frac{1}{4}[/tex]. If her aunt is age 'a', than Salina's age is a/4

Hope this helps.

D. A over 4. I hope this is the correct answer

Find the equation of this line shown

Answers

i believe the equation is y=2x-1 .
hope this helps.

What is the next number in the pattern?

Answers

Answer:

9

Step-by-step explanation:

3 3/4= 3.75.

3.75-2=1.75

1.75+5.5=7.25 or 7 1/4

7.25+1.75=9

Can someone please help me I will give u brilliant

Answers

Answer:15

Step-by-step explanation:

Answer:  The value of the median is 15.

Step-by-step explanation:

Work out the circumference of this circle.
Take it to be 3.142 and give your answer to 1 decimal place.
4 cm

Answers

Answer:

Final Answer 25.12

Step-by-step explanation:

This is very simple you can use two formulas to find the circumfrence of the circle. You can either use C=2πr or C=πd.

For this problem you will be using C=2πr since r is radius and the radius is 4.

C=2*3.14*4

C=6.28*4

C=25.12

Hope this helps.

What is the volume?
help thanks ( :

Answers

Answer:

54 is the volume

Step-by-step explanation:

Multiply 9 * 2 * 3 = 54

Answer:

54

Step-by-step explanation:

...

The distance between P and Q is

Answers

Answer:

5

Step-by-step explanation:

[tex] \sqrt{ {(9 - 6)}^{2} + {(6 - 2)}^{2} } = \\ \sqrt{ {3}^{2} + {4}^{2} } = \\ \sqrt{25} = \\ 5[/tex]

A concrete wall is .5 yards wide 5 yards long and 2.5 yards high. Concrete cost 90$ per cubic yard what is the cost of the wall

Answers

Answer:

$562.50

Step-by-step explanation:

1) Find the volume

V = base x width x height = 5 x 0.5 x 2.5 = 6.25 in^3

2) Multiply the nearest whole number  x 90

cost = 6 x 90 = $540

3) find the cost of 0.25 in^3

90 : 4 = 22.5

4) find the total cost

540 + 22.5 = $562.50

Dell's coffee shop sells cappuccinos, mochas, and lattes. The table gives the number of servings of each beverage sold in a day. Small Medium Large Cappuccino 70 55 62 Mocha 42 34 39 Latte 59 63 47 For a particular serving size, all three coffee drinks cost the same. A small serving costs $1.50, a medium serving costs $2.00, and a large serving costs $2.50. Which matrix gives the revenue generated from sales of each of the three beverages?

Answers

Answer:

[tex]C\left[\begin{array}{ccc}370\\228.5\\332\end{array}\right][/tex]

Answer:

C

Step-by-step explanation:

i have verified on the internet with other websites

NO LINKS PLEASE I NEED REAL ANSWERS
What are the numbers missing on all blanks?

Answers

Ok the numbers r
16/3 x+ 29/3

PLZ help! Find the surface area and volume. Leave your answers in terms of TT.

Answers

Solution:-

1. Radius (r) of the sphere = 10 units. (Given)

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (10)²

Surface area of the sphere = 4 × π × 10 × 10

Surface area of the sphere = 400π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (10)³

Volume of the sphere = 4/3 × π × 10 × 10 × 10

Volume of the sphere = 4000π/3

Volume of the sphere = 1333.3π cubic units. [approx] (Ans)

__________________________________

2. Diameter of the sphere = 16 units. (Given)

Radius (r) of the sphere = 16/2 = 8 units.

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (8)²

Surface area of the sphere = 4 × π × 8 × 8

Surface area of the sphere = 256π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (8)³

Volume of the sphere = 4/3 × π × 8 × 8 × 8

Volume of the sphere = 2048π/3

Volume of the sphere = 682.6π cubic units. [approx] (Ans)

__________________________________

3. Radius (r) of the sphere = 5 units. (Given)

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (5)²

Surface area of the sphere = 4 × π × 5 × 5

Surface area of the sphere = 100π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (5)³

Volume of the sphere = 4/3 × π × 5 × 5 × 5

Volume of the sphere = 500π/3

Volume of the sphere = 166.6π cubic units. [approx] (Ans)

__________________________________

4. Diameter of the sphere = 18 units. (Given)

Radius (r) of the sphere = 18/2 = 9 units.

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (9)²

Surface area of the sphere = 4 × π × 9 × 9

Surface area of the sphere = 324π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (9)³

Volume of the sphere = 4/3 × π × 9 × 9 × 9

Volume of the sphere = 2916π/3

Volume of the sphere = 972π cubic units. (Ans)

__________________________________

what is 6+6 pls help :)​

Answers

Answer:

its 12 sweety hope this helps

what is equivalent to
(3x+1)(4x-1)

Answers

(3x+1)(4x-1)

3x+4x=7x
1-1=0

So

(3x+1)(4x-1) = 7x

I hope this helped and was right, have a nice day

Simple questions!!
I dont need a link!
The first questions are the same as the secong so I need help

Answers

Answer:

First Circle

Radius = 6

Diameter = 12

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 6 = 37.68

2nd Circle

Radius = 3

Diameter =  6

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3 = 18.84

Hope This Helps!

Select the values that make the inequality -n< −4 true. Then write an equalivalent inequality, in terms of nn. (Numbers written in order from least to greatest going across.)
values: -9 -5 -4.1 -4 -3.9 -3 -1 0 1 3 3.9 4 4.1 5 and 9

Answers

Answer:

values that make the inequality true would be any absolute number that is bigger than 4

so that would be n>5

Step-by-step explanation:

When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Required:
Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.

Answers

Answer:

The differential equation is [tex]\frac{dR}{dt} = -kR[/tex]

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

[tex]\frac{dR}{dt}[/tex]

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

[tex]\frac{dR}{dt} = -kR[/tex]

this is a nice question for 69 points (nice)
What's 34.5 x 2

A. 45
B. nice
C. 78
D. 50

Answers

Answer:

34.5 × 2 = 69

Step-by-step explanation:

pretty self explanatory

Find the measure of 43.
43
75
43 = [?]

Answers

Answer:

<3=105°

Step-by-step explanation:

The angle directly to the right of the 75° angle is 105°, as the angles along a straight line add to 180.

<3=105° because they are corresponding angles

Answer:

Solution given:

<3+75=180[co- interior angle]

<3=180°-75°=105°

<3=105°

Of 220 seventh-grade students, 25% earn the Community Service Award. How many students earn the award?

Answers

Answer:

55 students

Step-by-step explanation:

all you do is 220*.25 and you get the answer

A photocopy machine can copy 42 pages every two minutes. How many pages can it
photocopy in 5 minutes?

Answer choices
4.2
420
105
21

Answers

Answer:

C. 105

Step-by-step explanation:

2 min → 42 pages5 min → x

Cross-multiply and solve for x:

x = 5*42/2x = 105 pages

Correct choice is C

what is equivalent to 100+20

Answers

Answer:

hi

Step-by-step explanation:

100+20 is equal to 120

have a nice day

Answer:

I think what you are looking for is 120

Find the volume of the figure to the nearest tenth.

Answers

Answer:

150.8

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi \:{r}^{2} \\ v = \frac{4}{3} \pi \:{6}^{2} \\ v = 150.8[/tex]

Hopefully this'll help you out!

Find the slope of the line that passes through
(8,3) and (3, 4)?

Answers

(Y2 -Y1)
————-
(X2-X1)

4-3
—— =
3-8

1/-5
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