Lucas is making a wire sculpture for art class. For the sculpture, he needs to cut a wire into pleces that
are each 1/16 of a foot long. If the original wire is 3/4 of a foot long, how many pieces will Lucas have?

Answers

Answer 1

Answer:

➧Lucas can cut the wire into 12 pieces.

Step-by-step explanation:

Lets Solve!

⟹The first step is to convert [tex]\frac{3}{4}[/tex] into [tex]\frac{}{16}[/tex] !

      To do this we must find what number multiplied by 4 equals 16.

16 ÷ 4 = 4

⟹Now we know our multiplier is 4. So lets multiply the numerator and denominator by 4.

[tex]\frac{3}{4} * \frac{4}{4} = \frac{12}{16}[/tex]

[tex]\frac{12}{16}[/tex]

⟹Next we just divide  [tex]\frac{12}{16}[/tex] by [tex]\frac{1}{16}[/tex].

[tex]\frac{12}{16}[/tex] ÷ [tex]\frac{1}{16}[/tex] = 12

➧Lucas can cut the wire into 12 pieces.

Woohoo! Brainliest appreciated! Hope I helped!

Answer 2

Based on the original length of the wire and the length Lucas requires, he will have 12 pieces.

The wire is 3/4 feet long and each piece required will be 1/16 feet.

The number of pieces in total is:

= Length of wire / Length of pieces

Solving gives:

= 3/4 ÷ 1/16

= 3/4 × 16/1

= 48/4

= 12 pieces

In conclusion, Lucas will have 12 pieces.

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Related Questions

a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form

Answers

Answer:

y= 8x +9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 8, m= 8.

Substitute m= 8 into the equation:

y= 8x +c

Given that the y-intercept is 9, c= 9.

Substitute c= 9 into the equation:

y= 8x +9

Thus, the equation of the line is y= 8x +9.

Solve similar triangles (advanced)

Answers

Answer:

x = 24

Step-by-step explanation:

 6  =   x        

 8     x + 8

8x = 6x + 48

8x - 6x = 48

2x = 48

x = 48/2

x = 24

The value of x is 6.

What are similar triangles?

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given:

The triangle ABC and AED are similar triangles.

So,

the corresponding sides are in proportion of each other.

ED/CB = AD / AB

8/6 = 8/x

x = 6

Therefore, the value of x is 6.

To learn more about the similar triangles;

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10x - 5y + 2x - 3y
how do i do this

Answers

Answer:

12x-8y

Step-by-step explanation:

10x-5y+2x-3y

Step one is that you should align it= 10x+2x-3y-5y

The Second step is that now you should solve it=12x-8y

The third step is that there is no third step

Your answer is 12x-8y

The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?

Answers

Please mark me as Brainliest ......

Answer:

D

Step-by-step explanation:

Edge 2021 ;))

What are the x-intercepts of the polynomial function
g(x) = (2x-8)(x+1)(9 – 3x)2 ?
(Hint: There should be three of them!)

Answers

Answer:

The x intercepts are x = 4, x = -1, and x = 3.

Step-by-step explanation:

[tex]g(x)=(2x-8)(x+1)(9-3x)^{2}\\(2x-8)(x+1)(9-3x)^{2}=0\\2x-8-0\\2x=9\\x=4\\x+1=0\\x=-1\\9-3x=0\\3x=9\\x=3\\[/tex]

Uncle Silas weighs 204.6 pounds, and
Aunt Cora weighs 139.65 pounds. How
much more does Uncle Silas weigh than
Aunt Cora?

Answers

64.95

Equation-
204.6-139.65=64.95

Can some please help I’m stuck :(

Answers

Answer:

"I Only" is the correct answer

Step-by-step explanation:

Given inequality is:

-10>3x-6

In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.

So,

I . -10

Putting -10 in the inequality

[tex]-10>3x-6\\-10>3(-10)-6\\-10>-30-6\\-10> -36[/tex]

The inequality results in true after putting x=-10 so -10 is the solution of inequality.

II. 5

Putting 5 in the inequality

[tex]-10>3x-6\\-10>3(5)-6\\-10>15-6\\-10>9[/tex]

The equality doesn't hold true for x=5 so 5 is not the solution of the problem.

III. -1

Putting -1 in the equation

[tex]-10>3x-6\\-10>3(-1)-6\\-10>-3-6\\-10>-9[/tex]

Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.

Hence,

"I Only" is the correct answer as only -10 is the solution of inequality.

Kenny wants to take his dog to obedience school. At sit and Stay School, 12
lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is
the better deal?
Dog Obedience Lessons
Location
Price
Sit and Stay School
$96/12 lessons
Canine Community Center
$125/25 lessons
Fill in the blanks to solve the problem.
304 QUESTIONS
The unit rate for lessons at Sit and Stay School is
$96 -96
12 lessons -12
$1
1 lesson
The unit rate for lessons at Canine Community Center is
Select
The lower unit rate is
Select
The lessons at
Select
are the better deal
SUBMIT​

Answers

Answer: See explanation

Step-by-step explanation:

At sit and Stay School, 12 lessons cost $96. The unit rate for each lesson will be:

= $96/12 = $8

At Canine Community Center, 25 lessons cost $125. The unit rate will be:

= $125/25 = $5

The better deal is at Canine Community as it's cheaper.

The unit rate for lessons at Sit and Stay School is $8 per lesson

The unit rate for lessons at Canine Community Center is $5 per lesson

The lower unit rate is $5 which is that of Canine Community.

The lessons at Canine Community are the better deal.

what is the measure of <x​

Answers

Answer:

x = 104°

Step-by-step explanation:

180-76=104

z = 104°

z and x are vertical from each other, therefore, z = x

Hmmm this is gonna be a long process

if a+b=34 then what is 4a-8ba+9a

Answers

Answer:

12x:12x=1:

1 TRUE

Step-by-step explanation:

tim bought 3 hat for 120/-. how much can he buy from 180/-

ASAP plz

Answers

Answer: 16

Step-by-step explanation:

Tim can buy 4 caps and will left with Rs.20 to spare

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here tim can buy 3 hats from Rs.120 thus each hat cost Rs.40

Thus price of 4 hats is Rs.160 and he will be left with Rs.20 to spare.

Hence, Tim can buy 4 caps and will left with Rs.20 to spare

Learn more about the unitary method here:

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What is 2/3 divided by 1/2 ?

A. 3/4

B. 4/3

C. 1/3

D. 1/4

Answers

Answer:

B. 4/3 is your answer dear.

Step-by-step explanation:

Solve

2/3 * 2/1

coz it is reciprocal .

you'll get 4/3

Hope you got it.

Plzzzzzzzzzzz help im dumb

Answers

Answer:

C I did the test sorry if im wrong

Step-by-step explanation:

<3 Goodluck

Quadratic functions 2. Did I do it right

Answers

Yea you did, good job

PLZ!! HELP!!
Linear Functions!!

Answers

Answer:

I think the answer is liner

The Lopez Family meets with a financial planner who advises them to save 15% of their income per month for college savings for their children. They earn $8,540 per month. How much will the Lopez family save each month for future college expenses?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

$1281.00

Step-by-step explanation:

8540*15%=1281

If a television was 20% off and the amount of the discount was $200 what would the original price be?

Answers

Answer:

The original price of the television would be 1000$

please tell me the answer

Answers

Answer:

It shifts left

I hope this helps you with your algebra

to my calculations the anwser is it shifts left

A college information pamphlet provides some statistics about the students and the professors to help high school seniors decide if they want to attend the college. The pamphlet lists the ratio of students to professors as 18 to 1. If there are 702 students at the college, how many professors are there?

Answers

Answer:

39

Step-by-step explanation:

Setting up your problem and solving:

In the question it says the ratio is students to professors right? So 18 to 1.

Write that down: Students to Professors is 18 to 1.

We know that there are 702 students in that college correct?

Write that down: 702 students in the college

We are trying to find how many professors there are so...let's do that.

Number 1:

Set your equation: have your fraction bar and equal sign like this: --- = ---

On the top, we have 1 so... 1/? = ?/?

On the other top we have the x...: 1/? = x/?

Why? Because we do not know the total of professors there are so that is X.

We put the number 1 on the other side because we know that there is only 1 out of 18 professors to students.

Number 2:

On the bottom, we will have 18...: 1/18 = x/?

On the other bottom we have 702...: 1/18 = x/702

Why? Because we know that there is a total number of 18 to 1 students on the ratio and a real total of 702 students.

Number 3.

Now you have your equation set up: 1/18 = x/702

The next step is yours: cross multiple, divide on the bottom or top or find the comparison.

I'm going to divide by the bottom okay? so.. 18/702

Set that up.

(702/18)

702/18 is 39!

SO in the end there is a total of 39 professors!

'x=39'

Hoped this helped! :)

What is the solution of 3(x-1) - X = 3 + 2(x-3)?

Answers

Answer:

3(x-1) -X =3+ 2(x-3)

3x-3 -X = 3+2x-6

2x-3= 2x-3

2x-2x =-3+3

0=0

Solve for x

ax=b

This is for Algebra 1

Answers

The answer to this is x= b/a

Answer:

x=b-a

Step-by-step explanation:

subtract a on both sides

Please help

f(x)=1 - 2x g(x)= -x0 h(x)= x + 1
) Find the value of
(i) gf2),
Answer(a)(i)
[2]​

Answers

Answer:

we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=1-2x\\g(x)= \frac{1}{x}\\h(x)=x^3+1[/tex]

We need to find value of [tex]gf(2)[/tex]

[tex]gf(2)=g(f(2))[/tex]

First putting f(x) inside of g(x) and then putting x=2

[tex]gf(x)=g(f(x))\\gf(x)=\frac{1}{1-2x}[/tex]

Now putting x=2 to find [tex]gf(2)[/tex]

[tex]gf(x)=\frac{1}{1-2x}\\gf(2)=\frac{1}{1-2(2)}\\gf(2)=\frac{1}{1-4}\\gf(2)=\frac{1}{-3}\\gf(2)=-\frac{1}{3}[/tex]

So, we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]

Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6 What is the x-intercept of the graph of this function?

Answers

Answer:

-2.1

Step-by-step explanation:

The y-intercept will be (0, 12.6) if Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The linear function is:

f(x) = 6x + 12.6

To find the y-intercept plug x = 0

f(0) = 0 + 12.6

f(0) = 12.6

Thus, the y-intercept will be (0, 12.6) if Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6.

Learn more about the function here:

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2 x ² + 16x+63 2x² +19x+a​

Answers

=jeksjskakkjakakaaskskskskskskskdksk

Answer:

\557

Step-by-step explanation:

find f((1)/(3)) if f(n)=3n

Answers

Answer:

1

Step-by-step explanation:

Given

f(n) = 3n

To find

f(1/3) =?

Substitute n with 1/3 and calculate

f(1/3) = 3*1/3 = 1

Answer: The answer is 1 sweetie

Step-by-step explanation: Given

f(n) = 3n

To find

f(1/3) =?

Substitute n with 1/3 and calculate

f(1/3) = 3*1/3 = 1

7 + 5x = 2x + 25
step by step pls:(

Answers

Answer:

x = 6

Step-by-step explanation:

7 + 5x = 2x + 25

first subtract 7 from both sides to isolate 5x on the left

5x = 2x + 18

then subtract 2x from both sides to isolate all of the x terms to one side

3x = 18

then divide 18 by 3 to solve for x

x = 6

hope this helped!! :)

Answer:

i got you, i wrote it out and all gimme brilliantness

Step-by-step explanation:

I NEED HELP PLEASE I WILL MARK!!!!

Answers

Answer:

_3/4/_2/3 the first one i hope u will mark me brai list

Match the term with the definition. (5 points) Column A 1. Line : Line 2. Line Segment : Line Segment 3. Ray : Ray 4. Point : Point 5. Vertex : Vertex Column B a. a location, has no dimension b. the common endpoint of two segments or rays that form the "corner" of an angle c. an infinite number of points extending in opposite directions that has only one dimension d. part of a line that has two endpoints e. part of a line that has one endpoint and continues in one direction infinitely

Answers

Answer:

a. Point.

b. Vertex.

c. Line.

d. Line segment.

e. Ray.

Step-by-step explanation:

a. Point: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.

b. Vertex: is the common endpoint of two segments or rays that form the "corner" of an angle.

c. Line: is an infinite number of points extending in opposite directions that has only one dimension.

d. Line segment: is part of a line that has two endpoints.

e. Ray: is part of a line that has one endpoint and continues in one direction infinitely.

7+3²+(12-8)÷2x4
i really need help

Answers

Answer:

3/2 :D have a good day

Step-by-step explanation:

7+9+(-4)÷2(4)

=(7+9-4)/8

=3/2

Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
A. 400 • 0.32
B. 400 • 3.2
C. 400 • 1.32
D. 400 + 400(0.32)
E. 400 • 400(1.32)

Answers

Answer:

Expressions C and D correctly determine the markup price.

Step-by-step explanation:

A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.

When you markup a price, you multiply the original price by [tex]1+x[/tex], where x is the percentage at which the object is marked up. However, x needs to be in decimal form for it to work out.

[tex]\frac{32}{100} = \small\boxed{0.32}[/tex]

Therefore, with this new decimal, we can add 1 to it.

[tex]1 + 0.32=\small\boxed{1.32}[/tex]

Finally, we multiply this result by the original price.

[tex]1.32 \times 400=\small\boxed{528}[/tex]

Therefore, we can already confirm that Expression C is one way to find the markup price.

We can eliminate expression A because it did not use the formula [tex]1+x[/tex]. It only uses the decimal form of the percentage.We can eliminate expression B because the division to convert from the percentage form to the decimal form is flawed (the expression divided by 10 instead of 100) and also forgot to add 1 to the determined value.

Now, we can test the math for expressions D and E to see if either of these will equal $528.

Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.

[tex]400 + 400(0.32)\\400(0.32) = 128\\400 + 128 = \small\boxed{528}[/tex]

Finally, we also need to check expression E. This expression is saying to add the already marked up price to 400. This would not be correct.

[tex]400 \times 400(1.32)\\400(1.32) = 528\\400 \times 528 = \small\boxed{\$ 211,200}[/tex]

Therefore, it has been determined that Expression C & Expression D are both equations that will find a markup price.

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