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Lemur [1.5K]
1 year ago
11

In consecutive odd integers, three times the largest integer is fifteen less than two-thirds the smallest integer. find both int

egers. someone help please
Mathematics
1 answer:
aivan3 [116]1 year ago
3 0

Value of both the integers as three times the largest consecutive integer is 15 less than 2/3 the smallest one is -7, -9.

As given,

Let x, x +2 be two consecutive odd integers

Three times largest integer=3( x+2)

15 less than 2/3 smallest integer=(2/3)x -15

Equation :

3(x+2)=(2/ 3)x -15

⇒ 3x +6=(2x -45)/3

⇒ 9x-2x= -18 -45

⇒ 7x=-63

⇒ x =-9

and x+2 =-7

Therefore, value of both the integers as three times the largest consecutive integer is 15 less than the 2/3 the smallest one is -7, -9.

Learn more about integers here

brainly.com/question/15276410

#SPJ4

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In the past year Jenny watched 44 movies that she thought were very good. She watched 55 movies over the whole year. Of the movi
igomit [66]

To solve this problem, we must divide the number of movies that Jenny thought were very good by the total number of movies she watched. This is because we are finding a percentage, which represents a part out of a whole that have a factor, which in this case is very good movies. First, we begin by dividing 44/55. Then, we realize that both the numerator and the denominator are divisible by 11, so if we divided them both by 11 that would simplify the fraction.

44/55 = 44/11 / 55/11 = 4/5

Next, we can now easily divide our simplified fraction.

4/5 = 0.8

Finally, we must multiply by 100, because a percentage is a portion of 100 (the total is 100%). This is equivalent to moving the decimal point two places to the right.

0.8 * 100 = 80%

Therefore, Jenny thinks that 80% of the movies she watched this year were very good.

Hope this helps!

7 0
3 years ago
Find the value of x to the nearest tenth
Bess [88]

Answer:

X = 7.24 or 7.2

Step-by-step explanation:

Tan46/1 = x/7

Cross multiply to get this outcome:

7tan(46)

Put into calculator

Then your answer will be X = 7.24 or 7.2

Hope that helps :)

7 0
3 years ago
UUUUUUUURRRRGGGGEEENNTTTT! WILL GIVE BRAINLIEST! PLEASE SHOW WORK
nikklg [1K]

Answer:

C. Ted will gain $7,532 more from the rent than from the appreciation.

Step-by-step explanation:

Yes

6 0
3 years ago
Which is a zero of the function f(x)=3x−12?
N76 [4]
<h3>Answer:  x = 4</h3>

==================================================

Explanation:

Replace f(x) with 0 and solve for x.

f(x) = 3x-12

0 = 3x-12

3x-12 = 0

3x = 12

x = 12/3

x = 4 is a zero, aka root, of the function

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

Check:

f(x) = 3x-12

f(4) = 3(4)-12

f(4) = 12-12

f(4) = 0

The answer is confirmed.

3 0
2 years ago
1. What is the median of the data set?
Tamiku [17]

Answer: 1. 7

2. 100

3. 193.8

4. 0.8

5. 90.6

Step-by-step explanation:

1. Given the data  9,3,10,12,4,5,12,2

For finding the median we arrange it in ascending order

2,3,4,5,9, 10,12,12

Since the no of observations are even

∴ median =\frac{n/2 th term + (n/2 + 1)th term}{2}

= \frac{5+9}{2}

=\frac{14}{2}

=7

i.e. Median =7

2. Given the data

23, 95,100,23,100,100

Since the no 100 is repeated thrice i.e. the maximum no of times

∴ Mode=100

3.

Given the data

108, 305,252,113, 191

Mean=\frac{108+305+252+113+191}{5}

=\frac{969}{5}

=193.8

4. Money spent in the first week

= $11.52, $6.48, $5.99, $14.00, and $9.50

Total for the first week

=11.52+6.48+5.99+14.00+9.50

=$47.49

Now she spent $4 more in the second week

i.e.$47.49+4

=51.49$

Increase in mean =\frac{4}{5}

=0.8

5.

Given

2 students scored 100 each

9 students scored 95 each

10 students scored 90 each

3 students scored 80 each

1 student scored 70

Total score of students =2\times100+ 9\times 95+10\times90+3\times80+70\times1

=2265

The average score

=\frac{2265}{25}

=90.6

8 0
3 years ago
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