Mathematics High School


A piece of wood is 0.9 metres long.
It is cut into three unequal pieces.
The first piece is 0.2 metres longer than the second piece.
The third piece is 23 hundredths of a metre shorter than the second piece.
How long is each piece of wood?

Answers

Answer 1

Answer:

The length of the first piece is 0.51 m

The length of the second piece is 0.31 m

The length of the third piece is 0.28 m

Step-by-step explanation:

The question is a simultaneous equation with word problem

The total length of the wood = 0.9 m

The number of pieces the wood is cut into = 3

The length of the first piece = 0.2 m + The length of the second piece

The length of the third piece = The length of the second piece - 0.23 m

Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;

x = 0.2 + y...(1)

z = y - 0.23...(2)

x + y + z = 0.9...(3)

Therefore, by substitution, we have;

0.2 + y + y + y - 0.23 = 0.9

3·y - 0.03 = 0.9

3·y = 0.9 + 0.03 = 0.93

y = 0.93/3 = 0.31

y = 0.31

The length of the second piece = y = 0.31 m

From equation (1), we have;

x = 0.2 + y = 0.2 + 0.31 = 0.51

x = 0.51

The length of the first piece = x = 0.51 m

From equation (2), we have;

z = y - 0.23

z = 0.51 - 0.23 = 0.28

z = 0.28

The length of the third piece = z = 0.28 m.

Related Questions

I will give brainliest to who answers this. Please answer quick

Answers

Answer:

Im pretty sure it would just be g= -p+15

Step-by-step explanation:

I really hope this helps, if not I am so sorry

Answer:

G= 1/6p -15

Step-by-step explanation:

Let's solve for g.

p=6g+90

Step 1: Flip the equation.

6g+90=p

Step 2: Add -90 to both sides.

6g+90+−90=p+−90

6g=p-90

Step 3: Divide both sides by 6.

6g/6 = p−90/6g

=1/6p−15

on a certain day the temperature at midday was 14°c.By midnight the temperature had fallen by 17°c what was the temperature at midnight​

Answers

Answer:

-3c

Step-by-step explanation:

Answer:

-3c

Step-by-step explanation:

according to my calculations this is right

Expand.
Your answer should be a polynomial in standard form.
(9+ m)(-m +9)=

Answers

Answer: -1m²+81

Step-by-step explanation:

correct standard form means that the terms are ordered from biggest exponent to lowest exponent.The leading coefficient is the coefficient

of the first term in a polynomial in standard form.

FoR example, (9+ m) (-m+9) = *(m+9) (-m+9) *m(-m+9) +9 (-m+9)* -1.mm+9m +9(-m+9) * -1m² +9m +9(-m+9) *-1m²+9m- 9m +81

answer -1m²+81

Solve for x:
7x = 105

Answers

Answer:

X=15

Explanation: You have no like terms to combine and are at the last step of the algebraic equation. So, you would divide 7 on both sides. 7 by 7 cancels it out and 105 divided by 7 equals 15. Hope this helps ^-^.

The solution to the equation 7x = 105 is x = 15.

We have the equation: 7x= 105

To solve for x in the equation 7x = 105, we need to isolate x on one side of the equation.

Divide both sides of the equation by 7:

(7x)/7 = 105/7

Simplifying:

x = 15

Therefore, the solution to the equation 7x = 105 is x = 15.

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7 1/2 divided by 3/4 ?
= 5
= 4
= 7
= 10

Answers

Answer:

10

Step-by-step explanation:

Need help plz!!!!!!!!!

Answers

Answer:

x = 35

Step-by-step explanation:

[tex]40 + 2x + 2x = 180[/tex]

Subtract 40 on both sides.

[tex]2x + 2x = 140[/tex]

[tex]4x = 140[/tex]

Divide with 4 on both sides.

[tex]x = 35[/tex]

can someone help please

Answers

Answer is (-1, 7)

Hope it will help

HELP HELP HELP!!!!! Please help!

Answers

Answer:

Regular peanut butter - .23

Family Size Peanut Butter - .15

Answer:

#1: 0.23

#2: 0.15

Step-by-step explanation:

1.38/ 6= 0.23

6*0.23= 1.38

7.80/ 52= 0.15

0.15*52= 7.80

a porcupine has a mass of 27 kg. A.
cat has a mass of 6,300 g. Which
animal has the greater mass?

Answers

Answer:

porcupine

Step-by-step explanation:

6300g = 6.3 kg

Step-by-step explanation:

the porcupine has more mass


A ladder rests 22 feet up the side of a building. If the base of the ladder is 20 feet away from the building, how tall is the ladder to the nearest hundredth?

Answers

Answer:

Length of ladder =L =15

Distance from wall = D =9

Height on wall = H =??

Pythagoras equation L*L = D*D + H*H

15×15= (9×9) + H×H

225-81 = 144 =HxH

H= 12 feet.

I am right or wrong

please check

n-17 = 24

Step to step

Answers

Answer: 41

Step-by-step explanation: Add 24 plus 17

16-2k=14. what is the value of k​

Answers

Answer:

k = 1

Step-by-step explanation:

16 - 2k = 14

- 16       - 16

    -2k = -2

     -2     -2

       k = 1

Subtract 16 on both sides. -2k = -2
Divide -2 on both sides. k = 1

Tell which number is greater.

1/3, 30%

Answers

Answer:

They are equal.

Step-by-step explanation:

In my opinion 1/3 is grater because three 1/3's makes a whole. 30% three times is only 90% of the whole.

Nyanna solved the equation
8(x – 3) + 7 = 2x(4 – 17) incorrectly.
Find the error in her solution. Use the sketch tool and
explain your reasoning.

Answers

Answer:

1/2

Step-by-step explanation:

Or, 8(x-3)+7= 2x(4-17)

Or, 8x-24+7=2x(-13)

Or, 8x-17= -26x

Or, 34x=17

x=1/2

If you tell me all the right answers I will mark you brainliest!!

Answers

Answer:

11 is natural, real, integer and whole number.

1% is irrational and real, integer.

√25 = 5 hence it's natural, real, integer and whole

√50 is rational and real, integer.

1.333… is natural, real and integer

2.3×10^5 is natural, real, integer and whole number.

Select all the correct answers

Answers

Answer:

12^3,

Step-by-step explanation:

Find the x-intercept and y-intercept
from the following linear equation:
- 7x + 4y = 56
x-intercept ([?],[ ])
y-intercept ([?],[ ])

Answers

This should be the answer
y= 7/4x + 14

Can someone explain how to work this out please ?

Answers

Answer:

x=4

Step-by-step explanation:

f(x) = (x-2)^5  +3

Let f(x) = 35

35 = (x-2)^5  +3

Subtract 3 from each side

35-3 = (x-2)^5  +3-3

32 = (x-2)^5

Take the fifth root of each side

32 ^ (1/5) =  (x-2)^5^ 1/5

2 = x-2

Add 2 to each side

2 +2 = x-2+2

4 =x

While completing a DLA test virtually, Deidra answered 8 out 30 questions incorrectly. If the ratio remains constant, how many questions should Deidra answer correctly out of 45 questions?

Answers

Deidra should get 33 questions correct and 12 questions incorrect if she completes a tests with 45 questions.

If the ratio of incorrect questions to total questions is 8:30, that can be simplified down to 4:15.

There are 3 15's in 45 so you need to multiply 4 by 3 to get 12 incorrect answers.

To work out the amount of correct answers, you need to take the incorrect answers away from the total questions.

Answer:

I wnat to say its 19

Step-by-step explanation:

9. The hypotenuse of a 45°-45°-90° triangle is 5 sqrt 6. Find the length of one leg of the right triangle.

Answers

Answer:

5 ✓ 3

Step-by-step explanation:

using Pythagoras Theory

(5 ✓ 6 )2 =, 2 x square side

square leg length= 150/ 2=, 75

length =5 ✓ 3

The Nguyen family is traveling cross-country, driving 300 miles each day. Let 2 represent the number of days in the trip and let y represent the total number
of miles driven.
Write an equation to model their trip.
Enter the correct equation in the box.

Answers

Step-by-step explanation:

y = Total number of miles driven

= Number of days * Number of miles per day

= (x) * (300).

Therefore the equation is y = 300x.

When x = 2, y = 300(2) = 600.

The Nguyen family drove 600 miles during the 2 days.

How many cubic centimers of water can this paper cone cup hold?

Answers

Answer:

B: 48π cubic centimeters

Step-by-step explanation:

A: 216π cubic centimeters

B: 48π cubic centimeters

C: 144π cubic centimeters

D: 192π cubic centimeters

Volume of the paper cone cup = 1/3πr²h

Diameter = 8 cm

Radius, r = diameter / 2

= 8 cm / 2

= 4 cm

Height, h = 9 cm

Volume of the paper cone cup = 1/3πr²h

= 1/3 × π × 4² × 9

= 1/3 × π × 16 × 9

= (1 × π × 16 × 9) / 3

= 144π / 3

= 48π cm³

Volume of the paper cone cup = 48π cm³

solve the system by substitution y=x-8 y=2x-14

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(6,-2)

Equation Form:

x=6,y=-2

Step-by-step explanation:

The value of x is 6 and y is -2.

What is Substitution Method?

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead.

Given:

y=x-8..................(1)

y=2x-14.................(2)

Substitute the value of y from equation (1) to equation (2), we get

x-8 = 2x- 14

2x - x = -8 + 14

x = 6

and, y= x-8

y= 6-8

y= -2.

Hence, the value of x is 6 and y is -2.

Learn more about Substitution Method here:

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what is 9 : 45 = 6 : ?

Answers

Answer:6:45

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

a ratio is just a fraction

9:45 = 9/45

6:x = 6/x

now you have 9/45 = 6/x

cross multiply:

9 * x = 45 * 6

9x = 270

divide both sides by 9

9x/9 = 270/9

x = 30

- Find the value of x for which ABCD must be a parallelogram.

Answers

9514 1404 393

Answer:

  x= 5

Step-by-step explanation:

Sides BC and AD will be parallel when the two  marked angles have the same measure:

  5x -3 = 14x -48

  45 = 9x . . . . . . . . . add 48-5x

  5 = x . . . . . .  divide by 9

Which of the following uses the reciprocal property to rewrite x/5 = 72/4

Please help me :)

Answers

Answer:

??You texted incomplete question.

By the way, x = 90

I want to know how to expand x(4 - 3.4y)

Answers

X(4-3.4y)
= 4x - 3.4xy

Answer:

X(4-3.4y)

= 4x - 3.4xy

Step-by-step explanation:

please help . me . i will even help . you mark you brainliest

Answers

A = Not sure

B= 12.0

Hope I helped

Which of the following is NOT a solution to the system of inequalities?
1. (0, 4)
2. (1, 2)
3. (2, 1)
4. (1, 5)

Answers

Answer:

3. (2, 1)

Step-by-step explanation:

The solutions are the points located inside the shaded region. The only point not located in that region is the point (2, 1). Therefore, (2, 1) is not a solution to the system of inequalities.


What is the absolute value of -9?

Answers

Answer:

9

Step-by-step explanation:

Absolute value means the distance from 0 on a number line, and -9 is 9 spots away from 0

Answer:

9

Step-by-step explanation:

Absolute value just means the positive value of the number

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