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diamong [38]
3 years ago
12

Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Answer: y = 6x

Step-by-step explanation:

Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:

y = kx

Since y = 30 and x= 5,

30 = 5 × k

30 = 5k

k = 30/5

k = 6

Therefore, the equation that connects y to x will be:

y = kx

y = 6x

The equation that connects y to x is y = 6x.

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Which represents the solution set of the inequality 5x-9 less than or equal to 21
elena-14-01-66 [18.8K]

Answer:

x ≤ 6

Step-by-step explanation:

5x - 9 ≤ 21

Step 1. Add 9 to both sides

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Step 2. Divide it all by 5

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3 0
3 years ago
Read 2 more answers
find three consecutive negative integers such that six times the largest is equal to the twice sum of the two smaller integers.
Oksana_A [137]

Answer:

The consecutive negative integers are -3, -4 and -5.

Step-by-step explanation:

Let the three consecutive negative integers be k, (k-1) and (k -2)

Now, according to the question:

6(Largest Integer)  = 2( Sum of smaller two Integers)

or, 6 (k)  = 2( (k-1) + (k-2))

⇒ 6k = 2(2k -3)

or, 6k = 4k - 6

or, 6k - 4k = -6

or, 2k = -6 ⇒  k =  -3

Hence, the largest negative integer = -3

The next two consecutive negative  integer are (k-1) and (k-2)  = (-3-1) and (-3-2)

 = -4 and -5

Hence, the consecutive negative integers are -3, -4 and -5.

3 0
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Your total comes out to be $7.33 then the sales tax is 3% how much was the sales tax
Snowcat [4.5K]

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Step-by-step explanation:

4 0
3 years ago
Angela took a general aptitude test and scored in the 83rd percentile for aptitude in accounting.
tigry1 [53]

Answer:

(a) 83% of the scores were at or below her score.

(b) 17% was above her score.

Step-by-step explanation:

Given that:

Percentile score of Angela in the general aptitude test = 83rd percentile

To find:

a) Percentage of scores which were at or below her score?

b) Percentage of score which were above her score?

Solution:

First of all, let us learn about the term "<em>Percentile</em>"

Percentile is the value below which the certain percent of people/marks fall.

Therefore, when we say percentile of someone's score is x, then there are x\% of scores are at the same level or below.

And (100-x)\% of the scores are above this level.

Therefore, we can say that:

83% of the scores were at the same level or below the score of Angela.

And (100-83)\% = 17\% of the scores were above the score of Angela.

7 0
3 years ago
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