answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shtirl [24]
1 year ago
7

Lucia is making a 21.6 centimeter beaded string to hang in the window. She decides to put a green bead every 0.4 centimeters and

a purple bead every 0.6 centimeters. How many green and purple beads will she need?
Mathematics
2 answers:
vovangra [49]1 year ago
5 0

Lucia would need 54 green beads and 36 purple beads.

  • Total length of her beaded string = 21.6 centimeters
  • Decided length for green beads = 0.4 centimeters
  • Decided length for purple beads = 0.6 centimeters
<h2>Further Explanation</h2>

To determine the amount of green and purple beads she would use for the whole beaded string, the total length of her beaded string (21.6) would be divided by the amount of colored beads (For green: 0.4; For purple: 0.6) she decided to use for the beaded string separately.

Therefore, 21.6 ÷ 0.4; and 21.6 ÷ 0.6

Hence,  

<h3><u>For green beads:</u></h3>

Total length of her beaded string ÷ Decided length for green beads

= 21.6 ÷ 0.4 ( can be expressed as \frac{216}{4})

= \frac{216}{4}

= 54

<h3><u>For purple beads:</u></h3>

Total length of her beaded string ÷ Decided length for purple beads

= 21.6 ÷ 0.6 (can be expressed as \frac{216}{6})

= \frac{216}{6}

= 36

Therefore she would need 54 green beads and 36 purple beads for her beaded string.  

The above expression is a number problem, and was solved with the aid of division. Division is a basic arithmetic operation which deals with splitting or dividing two or more numerical values into different equal part.

It is also a function of BODMAS (which is an order of operations). BODMAS basically means Bracket, Orders, Division, Multiplication, Addition, Subtraction.

LEARN MORE:

  • Lucia is making a 21.6 centimeter beaded string brainly.com/question/1095636
  • A club had some money to purchase new chairs brainly.com/question/733073

KEYWORDS:

  • lucia
  • 21.6 centimeter
  • 0.4 centimeters
  • 0.6 centimeters
  • bodmas
olasank [31]1 year ago
3 0
21.6 ÷ 0.4 = 54 times for green
21.6 ÷ 0.6 = 36 times for purple

Together, 90 beads. Separately, 54 green and 36 purple.
You might be interested in
Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of
yan [13]

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster =  (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

3 0
2 years ago
Use green's theorem to compute the area inside the ellipse x252+y2172=1. use the fact that the area can be written as ∬ddxdy=12∫
Pavel [41]

The area of the ellipse E is given by

\displaystyle\iint_E\mathrm dA=\iint_E\mathrm dx\,\mathrm dy

To use Green's theorem, which says

\displaystyle\int_{\partial E}L\,\mathrm dx+M\,\mathrm dy=\iint_E\left(\frac{\partial M}{\partial x}-\frac{\partial L}{\partial y}\right)\,\mathrm dx\,\mathrm dy

(\partial E denotes the boundary of E), we want to find M(x,y) and L(x,y) such that

\dfrac{\partial M}{\partial x}-\dfrac{\partial L}{\partial y}=1

and then we would simply compute the line integral. As the hint suggests, we can pick

\begin{cases}M(x,y)=\dfrac x2\\\\L(x,y)=-\dfrac y2\end{cases}\implies\begin{cases}\dfrac{\partial M}{\partial x}=\dfrac12\\\\\dfrac{\partial L}{\partial y}=-\dfrac12\end{cases}\implies\dfrac{\partial M}{\partial x}-\dfrac{\partial L}{\partial y}=1

The line integral is then

\displaystyle\frac12\int_{\partial E}-y\,\mathrm dx+x\,\mathrm dy

We parameterize the boundary by

\begin{cases}x(t)=5\cos t\\y(t)=17\sin t\end{cases}

with 0\le t\le2\pi. Then the integral is

\displaystyle\frac12\int_0^{2\pi}(-17\sin t(-5\sin t)+5\cos t(17\cos t))\,\mathrm dt

=\displaystyle\frac{85}2\int_0^{2\pi}\sin^2t+\cos^2t\,\mathrm dt=\frac{85}2\int_0^{2\pi}\mathrm dt=85\pi

###

Notice that x^{2/3}+y^{2/3}=4^{2/3} kind of resembles the equation for a circle with radius 4, x^2+y^2=4^2. We can change coordinates to what you might call "pseudo-polar":

\begin{cases}x(t)=4\cos^3t\\y(t)=4\sin^3t\end{cases}

which gives

x(t)^{2/3}+y(t)^{2/3}=(4\cos^3t)^{2/3}+(4\sin^3t)^{2/3}=4^{2/3}(\cos^2t+\sin^2t)=4^{2/3}

as needed. Then with 0\le t\le2\pi, we compute the area via Green's theorem using the same setup as before:

\displaystyle\iint_E\mathrm dx\,\mathrm dy=\frac12\int_0^{2\pi}(-4\sin^3t(12\cos^2t(-\sin t))+4\cos^3t(12\sin^2t\cos t))\,\mathrm dt

=\displaystyle24\int_0^{2\pi}(\sin^4t\cos^2t+\cos^4t\sin^2t)\,\mathrm dt

=\displaystyle24\int_0^{2\pi}\sin^2t\cos^2t\,\mathrm dt

=\displaystyle6\int_0^{2\pi}(1-\cos2t)(1+\cos2t)\,\mathrm dt

=\displaystyle6\int_0^{2\pi}(1-\cos^22t)\,\mathrm dt

=\displaystyle3\int_0^{2\pi}(1-\cos4t)\,\mathrm dt=6\pi

3 0
1 year ago
Tanya walked for 171717 minutes from her home to a friend that lives 1.51.51, point, 5 kilometers away. d(t)d(t)d, left parenthe
Butoxors [25]

Correct question is;

Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, t minutes since she left home. What number type is more appropriate for the domain of d?

Answer:

0 ≤ t ≤ 17 ; (0, 17)

Step-by-step explanation:

We are told that she has walked for 17 minutes from her home to a friend that lives 1.5 kilometers away.

Now, we want to find the domain of numbers that shows her remaining distance.

Since she spent 17 minutes, then it means in modeling remaining distance it could be from 0 to 17 minutes as the case may be. Thus, the domain can be written as;

0 ≤ t ≤ 17 ; (0, 17)

6 0
1 year ago
Read 2 more answers
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 5, the length of B C is 3, and the length
svetoff [14.1K]

The side opposite to angle B is the side that does not contact with angle B.

In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.

Therefore, the lenght of the side opposite to angle B is 4 units.

5 0
2 years ago
Which is bigger 0.96 0r 19/20
REY [17]
0.96 or 19/20

0.96 as fraction = 96/100 = 19.2 / 20      5 into 96 is 19.2 and 5 into 100 is 20

So 0.96 is the same as 19.2/20

Since 19.2 / 20  and 19 / 20 have the same denominator,  therefore the 19.2 / 20 is bigger than 19 / 20.

So the 0.96 is bigger than the 19 / 20.
7 0
2 years ago
Other questions:
  • You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi
    13·2 answers
  • Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6. The probability that the sum of the numbers rolled
    15·2 answers
  • 2.8x-1.6y=3.2<br> -0.7x+1.9y=6.7
    12·1 answer
  • At Fairview middle school 75 band members need to raise a total for a trip of $8,250 for a trip so far they have raised $3,120 h
    7·1 answer
  • Diane reed had office supply sales of $3,285 this month. this is a 78% of last months supply sales. what was the amount of last
    8·1 answer
  • ) What is the difference between a sequence and a series? A sequence is an ordered list of numbers whereas a series is an unorde
    14·1 answer
  • Find the slope of line containing the given points. (3,-8),(1,4)​
    8·2 answers
  • A long jumper leaves the ground at an angle of
    7·1 answer
  • ANSWER ASAP Which statements about the values of 4.099 and 40.99 are true? Select all that apply.
    10·1 answer
  • Larry and Zach have both been hired to do odd jobs. Larry will receive $7 for each of the 3 flower beds he weeds and y dollars t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!