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Naddik [55]
3 years ago
10

Find the constant of proportionality k in the equation y = 24x

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

The value of k is 24

Step-by-step explanation:

y = 24x

The equation for a direct variation is

y = kx

The constant of proportionality is k

y = 24x

The value of k is 24

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Solve the equation x/5 =9
Elena L [17]

Answer:

x = 45

Step-by-step explanation:

Given

\frac{x}{5} = 9

Multiply both sides by 5

x = 5 × 9 = 45

7 0
3 years ago
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Foe the AP given by a1,a2,......,an,...with non zero common difference, the equation satisfied are
user100 [1]
The given sequence is
a₁, a₂, ..., a_{n}

Because the given sequence is an arithmetic progression (AP), the equation satisfied is
a_{n}=a_{1}+(n-1)d
where
d =  the common difference.

The common difference may be determined as
d = a₂ - a₁

The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..

The sum of the first n terms is
S_{n}= \frac{n}{2} (a_{1}+a_{n})

Example:
For the arithmetic sequence
1,3,5, ..., 
the common difference is d= 3 - 1 = 2.
The n-th term is
a_{n}=1+2(n-1)

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100



8 0
3 years ago
The rainfall for one year was 35.8 inches. What was the approximate rainfall per month
Aloiza [94]
The rainfall for one month would be 2.983 inches per month.
7 0
3 years ago
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Randy is painting part of a wall, excluding the two corners shown in white. a gallon of white paint will cover 100 sqaure feet.
uysha [10]

Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.

What is the area of rectangle?

The area of a rectangle is the product of its length and width. That is,       A = l x w where l is the length and w is the width of the rectangle.

Here, Required Paint = 20 X \frac{37}{4} - 2 X \frac{1}{2}X6 X 6\\

                                   = 5 X 37  - 36

                                   = 185 - 36

                                   = 149

                                   = 1.49 gallons

Thus, Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.

Learn more about Area of Rectangle from :

brainly.com/question/20693059

#SPJ1

4 0
2 years ago
A $20 shirt was 30% off and you had a coupon for another 10% off. What is the new price?
laila [671]

Answer:

$12.60 is the new price!

Step-by-step explanation:

20 x 0.7 = 14

14 x 0.9 = 12.6

Hope this helped!

4 0
3 years ago
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