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Semenov [28]
3 years ago
15

A science fair has 180 entries. There are 72 entries from sixth grade students.

Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0

Answer:

40%

Step-by-step explanation:

Total entries=  180

Entries from 6th grade= 72

Percentage = 72/ 180 x 100= 40%

Hope its right!!!

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ioda
110. It's the farthest away from them all.
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4 years ago
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Write an equation for the line parallel to y= -2x+1 that contains (-2,5)
grin007 [14]

Answer:

y = - 2x + 1

Step-by-step explanation:

Parallels line have the same slope, when an equation is in the form y= mx + b, m is the slope. In this problem slope = - 2

Now with the slope what is missing is the y-intercept, the problem says that the line contains the point (-2, 5), replacing that point in the equation you can solve it to find the y-intercept

y = mx + b

5 = (-2)(-2) + b

5 = 4 + b

1 + b

y = - 2x +1

5 0
3 years ago
A number y multiplied by —3 is less than
Aliun [14]

Answer:

-3y < -2/5

Step-by-step explanation:

Multiplied means times

-3y

is less than means <

-3y < -2/5

5 0
3 years ago
In the given parallelogram ABCD, find the value of x and y​
Pani-rosa [81]

Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

y = 37

Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

3x + 3 = 111 ( subtract 3 from both sides )

3x = 108 ( divide both sides by 3 )

x = 36

---------------------------------------------------------------------

(b)

The diagonals bisect each other , so

x + 8 = 16 - x ( add x to both sides )

2x + 8 = 16 ( subtract 8 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

and

5y + 4 = 2y + 13 ( subtract 2y from both sides )

3y + 4 = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

5 0
3 years ago
A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs.
viktelen [127]

Answer:

3  months

Step-by-step explanation:

<h2><u>A:</u></h2>

We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.

<u>Now, since A has been working for 12 months, this is where the effective investment comes in:</u>

A effective investment = Rs 312,000

<h2><u>B:</u></h2>

<u>Then after 3 months, B joined, so:</u>

12 months - 3 months = 9 months in work

B overall invested = Rs 16,000

<u>Since B only worked nine months, we use that to find effective investment:</u>

B effective investment = Rs 144,000

<h2>C:</h2>

<u>C joined x months since B joined in:</u>

<u>We don't know how much C worked for, but we know that C joined after B:</u>

C investment period = 9 months - x certain amount of months

We know that C's investment is Rs 25,000

<u>Find effective investment:</u>

<u>Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:</u>

<u></u>

<u>Add all effective investment:</u>

Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x

= Rs 681000 - 25,000x

We now know that C's investment is 225,000 - 25,000x

<u>Find profit share:</u> 225,000 - 25,000x

==> Rs 3,825

<u>The total profit:</u>

Rs 15,453

<u>To get our final answer, we must do this operation:</u>

<u>C investment divided by Total Investment = C's profit and total profit:</u>

( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453

25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x)  = (153 * 25) /(153 * 101)

( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101

Rs 909,000 - 101,000x = Rs 681,000 - 25,000x

Rs 228,000 = 76,000x

Rs 228 = 76x

x = 3

8 0
4 years ago
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