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kap26 [50]
3 years ago
5

Rachel can make 3 bracelets in an hour. Oliver can make only 2 bracelets in an hour, but he already has 5 completed bracelets. C

reate a system of equations to determine when Rachel will have the same number of bracelets as Oliver. Use complete sentences.
Mathematics
1 answer:
Tanya [424]3 years ago
8 0

Answer:

After 5 hours

Step-by-step explanation:

Given that Rachel can make 3 bracelets in an hour.

Let y be the no of bracelets and x no of hours.

Then equation for Rachael would be y = 3x   ...  i

Oliver is having initially 5 completed bracelets and every hour he would make 2 new bracelets

Hence equation would be

y = 2x+5  ... ii

Our question is why both will be equal

y would be equal in both if 3x=2x+5

Or x=5

After 5 hours form the start, both will have same number of bracelets.

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The lights go out, your bedroom is pitch dark, yet you still need to find a pair of socks, in your drawer there is 25 white sock
Lerok [7]

Answer: At most 3

Step-by-step explanation:

If there are 25 white socks and 25 red socks, a matching pair would be picked in at most 3 times.

The first sock you pick would be either White or Red

The second sock you pick would be either white or red again which means that you now either have 2 whites, 2 reds or 1 white and 1 red.

The third sock you pick will either be white or red once more. At this point you will either have 3 whites, 3 reds, 2 whites and 1 red or 2 reds and 1 white.

You will therefore have at least a matching pair after 3 tries.

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3 years ago
How to work it out logically? Question a !!!
Arturiano [62]

Answer:

Fencing is done along KL which is (1500+520.8=2020.8 m) from the top left corner and divides the property into half.

Step-by-step explanation:

Given the figure with dimensions. we have to find the area of given figure.

Area of figure=ar(1)+ar(2)+ar(3)

Area of region 1 = ar(ANGI)+ar(AIB)

                          =L\times B+\frac{1}{2}\times base\times height\\\\=[1500\times (5000-2000-1500)]+\frac{1}{2}\times (3000-1500)\times (5000-2000-1500)\\\\=3375000m^2=337.5ha

Area of region 2 = ar(DHBC)

                       =2000\times1500\\\\=3000000m^2=300ha

Area of region 3 = ar(GFEH)

                             (2000+1500)\times 1000\\\\=3500000m^2=350ha

Hence, Area of figure=ar(1)+ar(2)+ar(3)=337.5ha+300ha+350ha

                                                 =987.5 ha

Now, we have to do straight-line fencing such that area become half and cost of fencing is minimum.

Let the fencing be done through x m downward from B which divides the two into equal area.

⇒ Area of upper part above fencing=Area of lower part below fencing

⇒ar(ANGB)+ar(GKLB)=ar(KLCM)+ar(MDCF)\\\\337500+3000x=(3500-x)\times 1000+2000(1500-x)\\\\3375000+3000x=3500000-1000x+3000000-2000x\\\\6000x=315000\\\\x=\frac{315000}{6000}=520.8m

Hence, fencing is done along KL which is (1500+520.8=2020.8 m) from the top left corner and divides the property into half.

7 0
2 years ago
Read 2 more answers
A three-digit number has two properties. The tens-digit and the ones-digit add up to 5. If the number is written with the digits
natali 33 [55]

Answer:

The three-digit numbers with these properties are 850 or 941.

Step-by-step explanation:

Let x be the hundreds digit, y the tens digit, and z the ones digit. The first condition says that y+z=5. The second condition is:

the original number is (100x+10y+z) while the reversed number is (100z+10y+x) so

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Now we have the system

y+z=5\\ 99x-99z=792

You can divide by 99 to simplify the second equation.

y+z=5\\ x-z=8

Note that x, y, z must be digits between 0 and 9 and x\neq 0. If z>1, then the second equation forces x>9, for example z=2 so x-2=8, x=10 which is impossible. If z=0, you get x=8, y=5 and the number is 850. If z=1, you get x=9,y=4 and the number is 941.

6 0
2 years ago
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