Solve. Show all of your work.
1. A construction worker was preparing wood for a project.
He had 1/4 of a meter of wood that he needed to cut
into equal size pieces. If he cut the wood into 6 pieces,
how long will each piece be?

Answers

Answer 1

Answer:

4.17 cm

Step-by-step explanation:

I took 1m=100cm

Then divided the cm by 4 to get the 1/4 of a meter which is 25

25/6 is 4.16repeating so I rounded it up to 4.17.

If your teacher wants it in a fraction I would state it as 25/6 cm


Related Questions

A mortgage has the terms shown below:
Balloon mortgage
$300,000
25/5 balloon
6% annual rate
Initial Monthly Payment: $1932.90
What is the amount of the balloon payment rounded to the nearest dollar?

Answers

It is 2957272949283 rounded to the neared tenth of the number you out into the question

Use the first three non-zero terms of a Maclaurin series to estimate the integral from 0 to 1 of the cosine of x squared, dx .
0.905
0.904
0.806
1.016

Answers

Maybe try the last one good luck

A child's ticket to a concert costs x and an adult ticket cost four times as much as a child's ticket The difference between Mrs. Royal ticket and her
child's tickets is $600.
(a) Write an equation to show this information.
(b) Solve your equation and write down the cost of an adult ticket.

Answers

Answer:

Mrs.Royal's ticket costs $800.

Step-by-step explanation:

Child's Ticket= x

Adult's Ticket= 4x

4x-x=600

3x=600

x=200

200*4=800

Can someone plz help me

Answers

Answer:

A = 28.27

Step-by-step explanation:

Answer:

9pi meters^2

Step-by-step explanation:

The area of a circle is pi * r^2. Basically, pi is simplified to 3.14 but for an exact answer, you'd leave it as a symbol. the "r" stands for the radius which is given(3). we square 3 to get 9. so the answer should be 9 pi or about 28.26.

Factor the following polynomial 14x^2 - 35x

Answers

Answer:

The binomial 14[tex]x^{2}[/tex] - 35x can be factored as 7x(2x+5)

Step-by-step explanation:

When factoring, you want to factor each constant or variable by their greatest common factor (or GCF). Since [tex]14x^{2}[/tex] and [tex]35x[/tex] has a greatest common factor of 7x, factor each term by 7x and you'll get [tex]7x(2x+5)[/tex].

HELP, MCQ urgent, now

Answers

Answer:

angle 13 and 16 is your answer ☺️☺️☺️

Answer:

∠13 and ∠16.

Step-by-step explanation:

The definition of adjacent angles is "two angles that have a common vertex and a common side but do not overlap" (Varsity Tutors). In accordance with the standards, only angles 13 and 16 are adjacent.

Hope this helps!

Find the value of x.
X =
Tell whether the side lengths form a Pythagorean triple.
o yes
no

Answers

Answer:

x = √72 and yes, it forms a Pythagorean triple

Step-by-step explanation:

a^2 + b^2 = c^2,

3 is a, x is b, anf 9 is c

3^2 + x^2 = 9^2

9 + x^2 = 81

Subtract 9 from both sides

x^2 = 72

x = √72

a Pythagorean triple is a^2 + b^2 = c^2, and this has it

Answer:

X = 9.4

Step-by-step explanation:

Pythagorean Theorem:

Formula: a² + b² = c²

9 x 9 = 81  3 x 3 = 9 81 + 9 = 90 √90 = 9.48 (Rounded 9.5)

- A Pythagorean triple consists of any three positive integers.

Find the following measure for this figure.
A
Х
0/60°
6
B
Area of circle =
O 6 square units
O 12 x square units
36 x square units

Answers

Answer:

Find the following measure for this figure. Area of circle = 36 I square units. Image: Find the following measure for this figure.

Step-by-step explanation:

Please show your work the answer is 80cm^2 I js need the work please will mark brainliest extra points

Answers

Answer:

30.1 ft²

Step-by-step explanation:

The area of a triangle with an included angle and two sides cam be found using the formula, A = ½*ab*sin(C)

a = 7 ft

b = 9 ft

C = 73°

Plug in the values

Area = ½*7*9*sin(73)

Area = 30.1235998 ≈ 30.1 ft² (nearest tenth)

Eight people go to a movie. Adult tickets cost $15 and children's tickets cost $8
The total cost was $85. Write an equation and use it to help you find the numbers of
adults and children who went to the movie.

Answers

Answer: number of adults = 3, number of children = 5

Step-by-step explanation:

let the number of adults be x, and the number of children be y.

x + y = 8 , 15x + 8y = 85

1st equation x 8 = 8x + 8y = 64

[tex]8x+8y-15x-8y = 64 - 85\\-7x = -21\\x=3[/tex]

substitute x=3

[tex]3+y=8\\y=5[/tex]

PLEASE HELP URGENT!!!!!!!!!!!!

Answers

Answer:

B) 155 sq. cm.

Step-by-step explanation:

225 - 70 = 155 sq. cm.

Answer:

i believe its B.

hope this helps.

its a benchmark, so do your best :)!

2. At Best Buy, two flash drives and one new mouse for your
computer cost $55.00. How much does one flash drive cost?
(Mouse cost 22.00)

Answers

Answer:

I believe one flash drive would cost $16.50.

Step-by-step explanation:

55=2x+22

-22       -22

33=2x

/2    /2

16.50=x

Hope this helps! Have an Amazing day!!

what is family ?



saw this is wuestion​

Answers

MARK ME AS BRAINLIEST OK FRIEND

Family is a group of people who want as well as choose to be together embraced by a bond so powerful and strong that not even the slightest test of trials and troubles can breach.Family means nobody gets left behind or forgotten.

Answer:

Hello There!!

Step-by-step explanation:

Family consists of parents and their children.

hope this helps,have a great day!!

~Pinky~

Colton sold a total of 28 tee shirts and sweatshirts as a fundraiser for his football team. If tee shirts cost 12 dollars each and sweatshirts cost 20 dollars each and he raised a total of 424 dollars how many tee shirts did he sell?

Answers

Answer:

11 sweatshirts and 17 t shirts

Step-by-step explanation:

[tex]t + s = 28\\12t = 20s = 424[/tex]

Step one: cancel out one variable. In this one, t.

[tex]-12(t + s = 28)\\-12t -12s =-336[/tex]

Now that we have that, subtract that from the other expression.

[tex]12t + 20s = 424\\-12t -12s = 336[/tex]

You should get:

[tex]8s = 88\\ s = 11[/tex]

Plug s in any expression

[tex]t + 11 = 28[/tex]

You should know where to go from there, I'm lazy :p

Then t = 17

GOod Luck!!!!

At last week's track meet, Stacy ran 9/12 of a km, Jules ran 4/5 of a km, and Raul ran 3/4 of a mile. Which two students ran the same distance?

Answers

Answer:  No two students ran same distance

Step-by-step explanation:

Given

Stacy ran [tex]\frac{9}{12}[/tex] of a km i.e.

[tex]\Rightarrow 1\times \dfrac{9}{12}=\dfrac{3}{4}=0.75\ km[/tex]

Jules ran [tex]\frac{4}{5}[/tex] of a km i.e.

[tex]\Rightarrow 1\times \dfrac{4}{5}=0.8\ km[/tex]

Raul ran [tex]\frac{3}{4}[/tex] of mile i.e.

[tex]\Rightarrow 1\times \dfrac{3}{4}=0.75\ miles\\\\\text{1 mile=1.6 km}\\\\\Rightarrow 0.75\ miles=1.2\ km[/tex]

So, no two students ran the same distance.

13 added to the product of an integer and negative 7 is 62

Answers

Answer:

Step-by-step explanation:

[tex](x*-7)+13 = 62[/tex]

[tex](x*-7) = 62 - 13[/tex]

[tex]x*-7 = 49[/tex]

[tex]x = 49 / -7[/tex]

[tex]x = -7[/tex]

check work

[tex]((-7)*-7)+13 = 62[/tex]

[tex](49)+13 = 62[/tex]

[tex]62 = 62[/tex]

23% of a number is 147.2.
What is the original number?

Answers

the answer is 640.

if you take 640 and multiply it by .23 (because of 23%), you get 147.2 which is exactly what you are looking for.

Hope this helps! :)

Plz help this is due by tomorrow

Answers

Answer:

3.4

Step-by-step explanation:

just divide 8.16 by 2.4

:)

Is -5, 12, 29, 46 an arthmetic sequence

Answers

Answer:

Yes

Step-by-step explanation:

Given that 1 inch =2.54 Gm how many centimeters are there in 4 feet?

Answers

Answer:

121.92

Step-by-step explanation:

There's 121.92 centimeters in 4 feet.

Hope this helps! :^)

Beatrice sold a house for 225000 and makes 7.5% commission. How much does she make for the sale?
A) 1687.50
B) 16,875
C) 168,750
D) 1,687,500

Answers

7.5% x 225000
She makes 16875 commission

Find the values of x and y . Write your answer in simplest form.

Answers

Answer:

y = 4 root 3, x = 8

Step-by-step explanation:

The figure shows a person estimating the height of a tree by looking at the
top of the tree with a mirror. Assuming that both the person and the tree form
right angles with the ground, which of the following proportions can be used
to estimate the height of the tree?

Answers

Answer:

The proportion that can be used to estimate the height of the tree is option;

A. [tex]\dfrac{h}{12} = \dfrac{6}{5}[/tex]

Step-by-step explanation:

The given parameters in the question are;

The medium through which the person looks at the top of the tree = A mirror

The angle formed by the person and the tree with the ground = Right angles = 90°

The distance of the person from the mirror, d₁ = 5 ft.

The height of the person, h₁ = 6 ft.

The distance of the tree from the mirror, d₂ = 12 ft.

The angle formed by the incident light from the tree on the mirror, θ₁ = The angle of the reflected light from the mirror to the person, θ₂

Let 'A', 'B', 'M', 'T', and 'R' represent the location of the point at the top of the person's head, the location of the point at the person's feet, the location of the mirror, the location of the top of the tree and the location of the root collar of the tree, we have;

TR in ΔMRT = The height of the tree = h, and right triangles ΔABM and ΔMRT are similar

The corresponding legs are;

The height of the person and the height of the tree, which are AB = 6 ft. and TR = h, respectively

The distances of the person and the tree from the mirror, which are BM = 5 ft. and MR = 12 ft. respectively

∴ The angle formed by the incident light from the tree on the mirror, θ₁ = ∠TMR

The angle of the reflected light from the mirror to the person, θ₂ = ∠AMB

Given that θ₁ = θ₂, we have;

tan(θ₁) = tan(θ₂)

∴ tan(∠TMR) = tan(∠AMB)

[tex]tan\angle X = \dfrac{Opposite \ leg \ length \ to \ reference \ angle}{Adjacent \ leg \ length \ to \ reference \ angle}[/tex]

[tex]tan(\angle TMR) = \dfrac{TR}{MR} = \dfrac{h}{12}[/tex]

[tex]tan(\angle AMB) = \dfrac{AB}{BM} = \dfrac{6}{5}[/tex]

From tan(∠TMR) = tan(∠AMB), we have;

[tex]\dfrac{h}{12} = \dfrac{6}{5}[/tex]

[tex]\therefore h = \dfrac{6 \, ft.}{5 \, ft.} \times 12 \, ft. = 14.4 \, ft.[/tex]

The height of the tree, h = 14.4 ft.

Therefore, from the proportion [tex]\dfrac{h}{12} = \dfrac{6}{5}[/tex] the height of the tree can be estimated.

If you place a 29-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer:

16.3

Step-by-step explanation:

The height of the building to the nearest tenth is 16. 3 ft

The situation forms a right triangle.

Properties of a right triangle:One of its angles is 90 degreesThe sides can can be found using Pythagoras theorem.

The length of the ladder is the hypotenuse of the triangle formed.

The distance from the foot of the ladder to the bottom of the building is the adjacent sides.

Therefore,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs.

b² = 29² - 24²

b² = 841 - 576

b = √265

b = 16.2788205961

b = 16.3 ft

learn more on right angle here: https://brainly.com/question/23919428?referrer=searchResults

Someone help please! <3

Answers

Answer:

I'm pretty sure it's D

Step-by-step explanation:

I could be wrong tho

during a huge snowstorm in the White Mountains last year it snowed 66.5 cm in one day how much did it snow in meters?​

Answers

Answer: It snowed 0.665 meters

hope this helps! :)

Answer:

Step-by-step explanation:

61.5cm= (6.15/100)m = .615m

If 1llm, find the value of x

Answers

Answer:

D

Step-by-step explanation:

HAHAHA

Answer:

E) 22

Step-by-step explanation:

[tex] l || m\: \&\:line\: j\: is \: their \: transversal [/tex]..... (given)

[tex]\therefore(5x - 16)\degree = (2x)\degree + 50\degree [/tex]

(Corresponding angles)

[tex]\therefore(5x - 16)\degree = (2x+50)\degree [/tex]

[tex]\therefore 5x - 16 = 2x+50 [/tex]

[tex]\therefore 5x - 2x = 16+50 [/tex]

[tex]\therefore 3x = 66 [/tex]

[tex]\therefore x =\frac {66}{3} [/tex]

[tex]\therefore x =22 [/tex]

Please use the following scenario for this question and the following 4 questions. The national academy of sciences reported in a 1997 study that 40% of research in mathematics is published by US authors. The math chairperson of a university wishes to test the claim that this percentage is no longer 40%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 130 recent articles published by reputable math research journals and finds that 62 of these articles have US authors. Does this evidence support the math chairperson's claim that the percentage is no longer 40%

Answers

Answer:

The evidence does not support the math chairperson's claim that the percentage is no longer 40%

Step-by-step explanation:

The known population percentage of research in mathematics published by US authors = 40%

The proportion, p = 0.40

Therefore, q = 1 - p = 1 - 0.4 = 0.6

The number of articles in the sample = 130

The number of articles by US authors in the sample = 62

Therefore, the proportion of US authors in the sample, [tex]\hat p[/tex] = (62/130) × 100 =

[tex]0.4\overline{769230}[/tex]

∴ The percentage of US authors in the sample ≈ 47.7%

The null hypothesis, H₀; p = 0.4

The alternative hypothesis, Hₐ; p ≠ 0.4

The z-test is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p\cdot q}{n}}}[/tex]

[tex]z=\dfrac{0.477-0.40}{\sqrt{\dfrac{0.4\times 0.6}{130}}} \approx 1.792[/tex]

The p-value P(Z > 1.79) = 2 × (1 - 0.96327) = 0.07346

Therefore, given that the p-value is larger than 0.05 there is significant evidence in favor of the null hypothesis and we reject the alternative hypothesis

Therefore, also, there is not enough statistical evidence to support the math chairperson's claim that the percentage is no longer 40%.

HELPPPP ASAPPP

Shane wants to create a patio that is a parallelogram What is the m angle DAB of to ensure the patio is a parallelogram ?

Answers

It is B) 100 degrees.
It might be to late now but I THINK it’s b

7. A boy on ice skates has a momentum of 200 kg m/s to the left at a velocity of 20

m/s. How fast is the boy going?

Answers

Answer: 10 m/s

Step-by-step explanation:

Given

Momentum of boy [tex]P=200\ kg.m/s[/tex]

Mass of boy is [tex]m=20\ kg[/tex]

Momentum is the product of mass and velocity

[tex]P=mv[/tex]

Substitute value

[tex]\Rightarrow 200=20\times v\\\Rightarrow v=10\ m/s[/tex]

Thus, the boy is moving with a velocity of 10 m/s

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