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ehidna [41]
3 years ago
10

The length of a rectangle is five times its width.

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer:let

Length =L

Width =W

L=5W

Perimeter(p)=2L+2W

P=10W+2W

84=12W

Divide both sides by 12

W=7m

L=5*7=35m

Hence, the length and width are 35m and 7m respectively

Step-by-step explanation:

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The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the
Gnesinka [82]

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939

Probability:

p_{S} = \frac{1}{1533939}

Probability of the mega number matching:

1 from a set of 27. So

p_M = \frac{1}{27}

Probability of both matching:

Independent events, so we multiply the probabilities:

p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}

1/41416353 probability of all five numbers and the mega number matching the winning numbers

7 0
3 years ago
I'm giving 30 points if you answer correctly!
soldi70 [24.7K]

Answer:

Part A: 64 (right-side 3th cell) and 7 (left-side 4th cell)

Part B: 5 hours- $45; 6 hours- $54; 8 hours- $72

Part C: $5 more

Step-by-step explanation:

Explanation for Part C- We know that if she works 5 hours mowing lawns, she will earn $40. But, when she works at the theme park we use the ratio given to find out how much she earn per hour. In her case she earns $9 for every hour she works at the theme park. now if you multiply that by 5 we can find out how much she earns in 5 hours which is $45. This is $5 more than what she earns mowing lawns for the same amount of time. Here we can conclude that Barbara earns $5 dollars more working at the theme park for 5 hours rather that mowing lawns.

If you can please name me the brainliest that would be much appreciated. Thanks and Good Luck!

 

4 0
3 years ago
Line FG contains points F (3,7) and G (-4,-5) line HI contains points (-1,0) and I (4,6) lines FG and HI are. ?
ludmilkaskok [199]
FG : (3,7)(-4,-5)
slope = (-5 - 7) / (-4-3) = -12/-7 = 12/7

y = mx + b
slope(m) = 12/7
(3,7)...x = 3 and y = 7
now we sub, we r looking for b, the y int
7 = 12/7(3) + b
7 = 36/7 + b
7- 36/7 = b
49/7 - 36/7 = b
13/7 = b
so ur equation is : y = 12/7 + 13/7.....slope = 12/7, y int = 13/7

HI : (-1,0)(4,6)
slope = (6 - 0) / (4 - (-1) = 6/5

no need to go any farther.....these lines have different slopes...and their not negative reciprocals....so there will be one solution. Answer is : neither.
7 0
3 years ago
Read 2 more answers
Is the number <img src="https://tex.z-dn.net/?f=%5Csqrt%7B62%7D" id="TexFormula1" title="\sqrt{62}" alt="\sqrt{62}" align="absmi
mrs_skeptik [129]

Answer:

Irrational.

Step-by-step explanation:

Rational means that it is a whole number and can be written as a fraction. That doesn't apply for square rooted numbers. So, \sqrt{62} is irrational.

4 0
4 years ago
Estimate numbers 1-4 from the tens place value.<br> 1. 89<br> 2. 64<br> 3. 985<br> 4. 467
zhenek [66]

\huge\text{Hey there!}

\huge\text{We are not sure what you want us to}\\\huge\text{round to so I will...}\huge\boxed{\downarrow}\\\\\\\huge\boxed{\mathsf{original \ number\rightarrow tens\rightarrow hundreds/thousands}}

\huge\boxed{1.) \ \mathsf{89} \rightarrow \bold{90}\rightarrow\bf 100}}\\\huge\boxed{2.) \mathsf{\ 64\rightarrow \bold{6} \rightarrow \bf 100}}\\\huge\boxed{3.) \mathsf{ \ 985 \rightarrow \bold{990}\rightarrow \bf 1,000}}\\\huge\boxed{4.)\mathsf{\ 467\rightarrow\bold{470}\rightarrow \bf 500}}}

\huge\textsf{Reminder: If you have \bf 0 - 4 you are going}\\\huge\textsf{\bf downward \& 5 - 9 you are going upward}

\huge\text{Good luck on your assignment \& enjoy your day!}

~\huge\boxed{\frak{Amphitrite1040:)}}

5 0
3 years ago
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