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Natalka [10]
2 years ago
13

If (8, 12) and (3, 4.5) belong to a proportional relationship, what is the constant of

Mathematics
1 answer:
Musya8 [376]2 years ago
7 0

Answer:

1.5

Step-by-step explanation:

k= y/x

y= 12-4.5 =7.5

x= 8-3 = 5

k = 7.5/5 = 1.5

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A circle with center on (7,0) with a radius of 9.
Greeley [361]

Answer:

The answer to your question is   (x - 7)² + y² = 81

Step-by-step explanation:

Data

Center = (7, 0)

radius = 9

Process

To find the standard equation of a circle, just substitute the values of the center and the radius.

Standar equation of a circle

                     (x - h)²  +  (y - k)² = r²

-Identify the values of h and k

                     h = 7    k = 0   and r = 9

-Substitution

                    (x - 7)² + (y - 0)² = 9²

-Simplification

                  (x - 7)² + y² = 81

7 0
3 years ago
A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount o
Effectus [21]

Answer:

31

Step-by-step explanation:

Let number of ten dollar bills be x .

So, number of five dollar bills = 2 x

Total amount of money in the cash register = 620 dollars

Amount of money in total cash as a result of  five dollar bills = 2 x × 5 = 10 x  dollars

Amount of money in total cash as a result of  ten dollar bills =  x × 10 = 10 x dollars

According to question ,

Total amount of money in the cash register = Amount of money in total cash as a result of  five dollar bills +  Amount of money in total cash as a result of  ten dollar bills

⇒ 620 = 10 x + 10 x

⇒ 620 = 20 x

⇒ x = \frac{620}{20} = 31

So, number of ten dollar bills = 31

3 0
3 years ago
Diamond deposited $300 in a savings account that has a 2% interest rate per
Alexxandr [17]

Answer:

After 1 year: $306

After 2 years: $312.12

Step-by-step explanation:

Use the formula 300 x 1.02^{t}

t = no of years

So, Deposit x interest rate^{years}

4 0
3 years ago
there are 36 people in the newtown hiking club. 2/3 of the club must vote yes if the club is to hike the northern trail. 20 peop
ivolga24 [154]
36/3=12
12*2=24
24-20=4
4 more votes are needed
3 0
3 years ago
Help please !! thank youu
VLD [36.1K]

Answer:

d = √91 ft = about 9.53 ft

Step-by-step explanation:

use pythagorean theorem which is a²+b²=c²

(the hypotnuse which is opposite side of the right angle is always going to be C in the pythagorean theorem)

a = 3    b = ?     c = 10

(3)² + b² = (10)²

9 + b² = 100

subtract 9 from both sides

b² = 91

take the square root of both sides

b = ±√91

so the side d = √91 ft = about 9.53 ft

3 0
3 years ago
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