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In-s [12.5K]
2 years ago
8

PLEASE HELP GIVING 50 POINTS!!

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
4 0

Answer:

  y = 18

Step-by-step explanation:

Direct variation means y will change by the same factor x does. When x changes by a factor of 15/10 = 1.5, the value of y will change by that same factor

  x = 10, y = 12

  x= 15, y = 1.5×12 = 18

The new value of y is y = 18.

_____

Written as a proportion, you have ...

  y/15 = 12/10

  y = 15×12/10 = 18

__

Written as a direct variation equation, you have ...

  y = kx

  12 = k·10   ⇒   k = 1.2

  y = 1.2·15 = 18 . . . . for x=15

You might be interested in
A cone with a diameter of 12 inches has a volume of 640.88 cubic inches. find the height of the cone
BlackZzzverrR [31]

Answer:

The height of the cone is 17\ in

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

In this problem we have

r=12/2=6\ in ----> the radius is half the diameter

V=640.88\ in^{3}

assume \pi=3.14

substitute the values and solve for h

640.88=\frac{1}{3}(3.14)(6)^{2}h

h=640.88*3/((3.14)(36))=17\ in

8 0
3 years ago
At a display booth at an amusement park, every visitor gets a gift bag. Some
kotegsom [21]

The bag will often contain all three items every 70 bags ⇒ answer C

Step-by-step explanation:

At a display booth at an amusement park, every visitor gets a gift bag

according to these information:

1. Hat Every 2nd visitor

2. T-shirt Every 7th visitor

3. Backpack Every 10th visitor

We need to know how often a bag will contain all three items

To solve this problem you must find a number divisible by 2, 7, and 10

To find that number start with the multiples of the largest one and

check them with the other two numbers

∵ The largest number is 10

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , .......

- Look for the first multiple of 10 is divisible by 7

∵ 70 is the first multiple of 10 divisible by 7

∵ 70 is divisible by 2 because its even number

∴ 70 is the smallest number divisible by 2, 7 and 10

The bag will often contain all three items every 70 bags

Learn more:

You can learn more about numbers in brainly.com/question/537998

#LearnwithBrainly

4 0
3 years ago
Please help me and ty​
TEA [102]

Answer:

D. 1963 square inches

Step-by-step explanation:

Area of a circle= πr^2

π= 3•14

r= 25 inches

3•14 × 25 × 25

= 1962•5

~ 1963 inches

hope it helps

6 0
2 years ago
What is an adaptation?<br><br> I put math but its science
Verdich [7]

Answer:

A change in a species that helps it survive

Step-by-step explanation:

i took life science in 7th grade, and another word for this is a mutation (kinda... pls dont make me go there...)

6 0
3 years ago
Read 2 more answers
Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9300. Using
Hatshy [7]

Answer:

Range  = (237100, 292900)

Step-by-step explanation:

Using Chebyshevs Inequality:

P(|X - \mu | \le k \sigma )\ge 1  -\dfrac{1}{k^2}= 0.889

1  -\dfrac{1}{k^2}= 0.889

\dfrac{1}{k^2}= 1- 0.889

\dfrac{1}{k^2}=0.111

k = \sqrt{\dfrac{1}{0.111}}

k \simeq 3

Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ  ±  kσ

where;

μ = 265000

σ = 9300

Range = 265000  ±  3(9300)

Range = 265000  ± 27900

Range =   (265000 - 27900, 265000 + 27900)

Range  = (237100, 292900)

3 0
2 years ago
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