After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams t that started the competition.

Answer:

Step-by-step explanation:

Building scale is 1cm=5feet

This means 1 cm is equivalent to 5 feet

If 1 cm is equals to 5 feet and the owner wants a 25% increase in dimension, this means;

25/100 =0.25.

0.25 x the actual dimension

0.25 x 5 = 1.25

1.25 + actual dimension

1.25 + 5 = 6.25.

This means the scale of the room will be on 1cm =6.25feet.

If the length of the room is A, the width is B;

The new length will then be 1.25 x A =1.25A

1.25A + A

The length of the new room is 1.25A +A

While the width of the new room is 1.25B +B

Answer:

0.2

Step-by-step explanation:

43226 and 52568

The Probability that Ginger will eat pizza for lunch every day for next week is 0.2.

Probability is "possibility that deals with the occurrences random event. It values varies from 0 to 1".

According to the question,

Ginger assigns digits 0 and 1 = no Pizza available and also assign digits

2,3,4,5,6,7,8 and 9 = Pizza available.

The table shows the results of the simulation,

08458 this simulation contains digit '0' so there is no pizza.

47165 this simulation contains digit '1' so there is no pizza.

68194 this simulation contains digit '1' so there is no pizza.

88490 this simulation contains digit '0' so there is no pizza.

01841 this simulation contains digits '0 and 1' so there is no pizza.

43226this simulation contains no digits '0 and 1' so there is pizza available.

12924 this simulation contains digit '1' so there is no pizza.

52568 this simulation contains no digits '0 and 1' so there is pizza available.

93039 this simulation contains digit '0' so there is no pizza.

39406this simulation contains digit '0' so there is no pizza.

Total number of simulation = 10.

Formula for Probability = [tex]\frac{Number of favorable events }{Total number of outcomes}[/tex]

Probability of availability of Pizza = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex] = 0.2.

Hence, the Probability that Ginger will eat pizza for lunch every day for next week is 0.2.

Learn more about Probability here

https://brainly.com/question/14378528

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Answer:

1.25 cups

Step-by-step explanation:

Since you have 5 5/8 cups = 4 1/2 water bottles

you can make it

5.625  cups = 4.5 water bottles

Then, all you have to do is divide both sides of this equation by 4.5, so

5.625 / 4.5 = 1 water bottle

1.25 cups = 1 water bottle

Answer:

y=2x+5

0=2x+5

-2x=5

x=-2.5

Answer:

5.5%

Step-by-step explanation:

Given data

Simple interest =  $137.50

Principal= $500

time = 5 years

We want to find the rate  R

Simple interest= PRT/100

137.50 = 500*R*5/100

137.50=2500R/100

cross multiply

137.5*100= 2500R

13750= 2500R

divide both sides by 2500

R= 13750/2500

R=5.5%

Hence the rate is 5.5%

Answer:

The population had a 400% increase

Answer:

$543

Step-by-step explanation:

597.3/1.10 =543

543*.10 = 54.3

597.3-54.3 = 543

Answer:

1 and 17/25

Step-by-step explanation:

First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.

(hope this helps :P)

Step-by-step explanation:

true. 30% of 68 is 20.40 if it was 30 percent off it would be 47.60 and it's is 3.40 more off so it is true that it is 30% or more

Answer:

x = 21

Step-by-step explanation:

Add all the angles to get 138 + 2x = 180. Subtract 138 to get 2x = 42. x = 21

Answer:

x = 21

Step-by-step explanation:

Can I have brainliest?

Answer:

2

Step-by-step explanation:

Answer:

The width of the field is 49 yards and the length is 204 yards.

Step-by-step explanation:

Let the width be b.

Length = 8+4b

The perimeter of the rectangle = 506 yards

The perimeter of the rectangle is given by :

P=2(l+b)

So,

506=2(8+4b+b)

253 = 8+5b

245 = 5b

b = 49 yards

Length, l = 8+4b

= 8+4(49)

= 204 yards

So, the width of the field is 49 yards and the length is 204 yards.

9514 1404 393

Answer:

  468

Step-by-step explanation:

Men:

  (3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30

Women:

  (4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30

The total number of members over 30 is ...

  180 +288 = 468 . . . members over 30

Answer:

2i^2+18i+7

Step-by-step explanation:

(5i^2+8i+10)-(3i^2-10i+3)

5i^2+8i+10-3i^2+10i-3

2i^2+18i+7

Answer:    4 apples in 1 lb

Step-by-step explanation:

Since there are twice as many apples as large apples, you would multiply

2 x 84 = 168

To find the apples per pound we want to divide the total number of apples, which is 168 by the weight of the bushel which is 42 lbs.

168/42=4

Therefore, there is 4 apples in 1 lb.

Hope this helped!, come back if i am wrong! :) ( I can redo the problem if it is)

Have a nice day! :)

Answer:

The amount of sale is approximately 5714.

Step-by-step explanation:

Let x be the sales made that will result to the same salary and let y be the same weekly salary.

We can represent both salaries as follows:

300 + 0.04x = y

100 + 0.075x = y

Subtracting the second equation from the first, we have:

200 – 0.035x = 0

0.035x= 200

x = 200/0.035

x ≈ 5714.

Therefore, the amount of sale is approximately 5714.

Answer:

abc

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Given that the length of the plastic string is 3 3/4 feet = 15 / 4 feet.

Bracelets of 5/8 foot long is needed to be made. To determine the maximum number of bracelets that can be made; using the number line, 5/8 is subtracted repeated times from 15/4.

We can see that when 5/8 is subtracted 6 times from 15/4, the result is 0.

15/4 ÷ 5/8 = 6

Hence Tara can make 6 bracelets from the plastic sting.

Answer:

90

Step-by-step explanation:

This is an increasing sequence, with -9 as its first term. The first increase is +3, then +5, +7, and +9. The differences increase by 2 each time. The sixth term will be 15 + 11, and the seventh would be 15 + 11 + 13. We can follow this pattern to get to the tenth term. 15 + 11 + 13 + 15 + 17 + 19 = 90

Answer:

it's quadratic

Step-by-step explanation:

(4x+x)(x-5)

after expanding will give the answer x²-5x+4x-20 which is also equal to x²-x-20

Answer:

she develops a fair and healthy relationship with her classmate but also she elected the class president at their school

Step-by-step explanation:

vote me as the brainliest

Answer:

A(n) = a + (n - 1)d is the correct formula for an arithmetic sequence.

Step-by-step explanation:

Answer:

0.32

Step-by-step explanation:

just divide

Answer:

$6

Step-by-step explanation:

25%= 1/4

8 divided by 4 =2

$2 is what is taken off

$8-$2 which is $6

Answer:

[tex]\Large \boxed{-3, \ 5,\ 13,\ 21}[/tex]

Step-by-step explanation:

A function is given

[tex]f\left(x\right)=4x+1[/tex]

Plug values of x and evaluate

[tex]f\left(x\right)=4\left(-1\right)+1=-3[/tex]

[tex]f\left(x\right)=4\left(1\right)+1=5[/tex]

[tex]f\left(x\right)=4\left(3\right)+1=13[/tex]

[tex]f\left(x\right)=4\left(5\right)+1=21[/tex]

Answer:

Solution given:

f(x)=4x+1

f(-1)=-4+1=-3

f(1)=3+1=5

f(3)=4×3+1=13

f(5)=4×5+1=21

1n=n Answer:

Step-by-step explanation:

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Given:

The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]

Length of the rectangle RSTU = [tex]4x+5[/tex]

To find:

The width of the rectangle RSTU.

Step-by-step explanation:

We have,

[tex]36x^2+25x-25[/tex]

Splitting the middle term, we get

[tex]=36x^2+45x-20x-25[/tex]

[tex]=9x(4x+5)-5(4x+5)[/tex]

[tex]=(4x+5)(9x-5)[/tex]

We know that, the area of a rectangle is

[tex]Area=Length \times width[/tex]

Area of rectangle is product of (4x+5) and (9x-5).

Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.

Answer:

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

Step-by-step explanation:

Step(i):-

The  proportion of the first sample

      [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{23}{53} = 0.43396[/tex]

The proportion of the second sample

      [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{48}{178} = 0.2696[/tex]

Step(ii):-

Standard Error of ([tex]p^{-} _{1} - p^{-} _{2}[/tex]) is determined by

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{p^{-} _{1} (1-p^{-} _{1} )}{n_{1} }+\frac{p^{-} _{2}(1-p^{-} _{2} ) }{n_{2} } }[/tex]

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{0.43396) (1-0.43396 )}{53 }+\frac{0.2696(1-0.2696 ) }{178} }[/tex]

on simplification, we get

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470

Answer:

3/24 + 4/24 = 7/24

Step-by-step explanation:

Find a common denominator then multiply the numerator by how many times you multiplied the denominator and add them to get your answer and you may simplify.