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Viktor [21]
3 years ago
15

Can you give an example of equations when you are given the constant of proportionality?

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Identifying the Constant of Proportionality. ... The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.


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WILL MARK THE FIRST BRAINLY ANSWER!
ehidna [41]

Answer:

A quadrant 1

Step-by-step explanation:

hope it helps

3 0
3 years ago
Money is borrowed at 15% simple interest. After one year,$1181.05 pays off the loan. How much was originally borrowed?
marin [14]

Answer: $787 was originally borrowed.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

Total amount = $1181.05

Interest = total amount - principal

I = 1181.05 - P

R = 15%

T = 1 year

Therefore,

1181.05 - P

Therefore,

1181.05 - P = (P × 15 × 1)/100

1181.05 - P = 0.15P

P + 0.15P = 1181.0

1.5P = 1181.05

P = 1181.05/1.5

P = $787

5 0
3 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 601 children was taken to study their pur
Lilit [14]

Answer:

The confidence interval is 6.6<μ<6.8.

Step-by-step explanation:

We have:

Number of observations = 601

Mean = 6.7

Standard deviation σ = 1.5

The z-score for a 95% confidence interval is 1.96.

The limits of the confidence interval can be calculated as

X \pm z*\frac{\sigma}{\sqrt{n}}\\\\LL=X-z*\frac{\sigma}{\sqrt{n}}=6.7-1.96*\frac{1.5}{\sqrt{601} } =6.7-0.1199=6.6\\\\UL=X+z*\frac{\sigma}{\sqrt{n}}=6.7+1.96*\frac{1.5}{\sqrt{601} } =6.7+0.1199=6.8

The confidence interval is 6.6<μ<6.8.

7 0
3 years ago
How do you simplify the radical: square root of 28
Lilit [14]

Answer:

√

28

Rewrite

28

as

2

2

⋅

7

.

Tap for more steps...

√

2

2

⋅

7

Pull terms out from under the radical.

2

√

7

The result can be shown in both exact and decimal forms.

Exact Form:

2

√

7

Decimal Form:

5.29150262

…

Step-by-step explanation:


3 0
3 years ago
Comppete the equation <br> X^2+y^2-10x+6y=15
mart [117]
I believe you meant:  Use completing the square to determine the center and radius of the circle represented by this equation:   <span>X^2+y^2-10x+6y=15

x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
     (x-5)^2               +   (y+3)^2            = 24   = 2sqrt(6)

This circle is centered at (5,-3) and has radius 2sqrt(6).</span>
8 0
3 years ago
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