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frutty [35]
4 years ago
5

LAST ONE! PLEASE HELP! WILL MARK BRAINLIEST!

Mathematics
1 answer:
garri49 [273]4 years ago
8 0

Answer:

Part A) the direct variation equation that relates x and y is:

y= -5x

Part B) value of y = 75

Step-by-step explanation:

Part A)

We are given that y varies directly with x, and y=10 when x=-2 what direct variation equation relates x and y?

If x and y are directly related then:

y ∝ x or y=kx

where k is constant of proportionality.

Now, finding k:

y=10 and x=-2

y=k\,\,x\\10=k*-2\\k=10/-2\\k=-5

So, value of k = -5

So, the direct variation equation that relates x and y is:

y= -5x

Part B)

What is the value of y when x = -15

the equation is:

y= -5x

Putting x = -15

y=-5x\\y=-5(-15)\\y=75

So, value of y = 75

Keywords: Direct Variation

Learn more about Direct Variation at:

  • brainly.com/question/10708697
  • brainly.com/question/2495851

#learnwithBrainly

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Arithmetic sequence
KonstantinChe [14]

Answer: Arithmetic Sequence

Step-by-step explanation:

An Arithmetic Sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.

5 0
3 years ago
How many ways can we award a 1st, 2nd and 3rd place prize among eight contestants?
trasher [3.6K]

Answer:

Total number of ways are 336.

Step-by-step explanation:

It is required to find the number of ways in which we can award a 1st, 2nd and 3rd place prize among eight contestants. It means we need to find the number of permutations. We need to find ^8P_3.

Here, r = 3

So,

^nP_r=\dfrac{n!}{(n-r)!}\\\\^8P_3=\dfrac{8!}{(8-3)!}\\\\^8P_3=\dfrac{8!}{5!}\\\\^8P_3=\dfrac{8\times 7\times 6\times 5!}{5!}\\\\^8P_3=336

So, there are 336 ways.

6 0
3 years ago
In 2000, there were 7689 weekly newspapers in the United States. This s about 94% of the number of weekly newspapers in the Unit
Elina [12.6K]
In 2000, 7689 weekly papers = 94% of number of weekly papers in 1960

Let weekly papers in 1960 be x.

           7689 =  94% of  x

           7689 = (94/100)*x

           7689 * 100/94  = x

           8179.787      ≈  x
              
               x    ≈  8179.787

Number of weekly newspapers in 1960 rounded to the nearest whole number = 8180
4 0
3 years ago
The product of 84.12 and which number will have three decimal places? 4.22 10.51 14.163 19.3
dedylja [7]
84.12 * 19.3.....notice how, when added, u have 3 spaces to the right of the decimal....so there is 3 decimal places..

84.12 * 19.3 = 1623.516...3 decimal places

so ur answer is : 19.3
3 0
3 years ago
Read 2 more answers
100 pens cost x dollars. how many pens can be purchased for 50 cents, assuming the same rate?
Tanzania [10]
100 pens cost x dollars.
Therefore 1 pen costs
x/100 dollars/pen

50 cents = 0.5 dollars. It can purchase
(0.5 dollars) / (x/100 dollars/pen)
= 50/x dollars

Answer:  50 cents can purchase 50/x pens

5 0
4 years ago
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