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3 years ago

I ne yard is equivalent to 3 feet how many yards are equivalent to 38 feet

Mathematics

2 answers:

pogonyaev3 years ago

7 0

12.666 or 12 yards are in 38 feet cause 38 ÷ 3 = 12.666

Georgia [21]3 years ago

6 0

Since 1 yard is 3 feet 38 feet is 38/3 yards which is 12 and 2/3 yards

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Solve If QR = 6x + 1, PR = 14x - 13, and PQ = 5x - 2, find PR

solong [7]

Answer:

P____Q____R

PR= PQ+ QR

(14x-13) = (5x-2)+(6x+1)

14x-13= 11x – 1

14x – 11x = 13–1

3x = 12

x= 12/ 3

x= 4

PR= 14x – 13 = 14 (4) – 13 = 18 – 13= 5

If you want (PQ , QR ) this is the solution

PQ =5x-2=5(4)-2=20-2=18

QR =6x+1=6(4)+1=24+1=25

I hope I helped you^_^

7 0

3 years ago

$4000 is deposited in an account that pays an APR of 8.4% compounded annually. How long will it take for the balance to reach

patriot [66]

Answer: number of years that it will take for the balance to reach $120,000 is 42 years

Step-by-step explanation:

Initial amount deposited into the account is $4000. This means that the principal is $4000

P = 4000

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 8.4%. So

r = 8.4/100 = 0.084

Let the number of years that it will take for the balance to reach $120,000. It means that it was compounded for a total of t years.

Amount, A at the end of t years is $120,000

The formula for compound interest is

A = P(1+r/n)^nt

120000 = 4000(1 + 0.084/1)^1×t

120000/4000 = 1.084^t

30 = 1.084^t

t = 42 years

8 0

3 years ago

The ratio of the number of red marbles to the number of green marbles in a bag is 2:3 the ratio of the number of green marbles t

disa [49]

Answer:

There are 36 green marbles, 24 red marbles and 16 blue marbles.

Step-by-step explanation:

7 0

3 years ago

Which equations have infinitely many solutions?

igomit [66]

Answer:

4(x - 1) = 4x - 4

3x + 6 = 3(x + 2)

Step-by-step explanation:

The first equation is

$5x - 1 = 5x + 1$

We simplify to get;

$- 1 = 1$

This is not true, therefore this equation has no solution.

The second equation is

$3x - 1 = 1 - 3x$

Combine like terms:

$3x + 3x = 1 + 1$

$6x = 2$

$x = \frac{1}{3}$

This has a unique solution.

The 3rd equation is

$7x - 2 = 2x - 7$

Group similar terms:

$7x - 2x = 7 + 2 \\ 5x = 9 \\ x = \frac{9}{5}$

The 4th equation is :

$4(x - 1) = 4x - 4$

$4x - 4= 4x - 4 \\ x = x$

This is always true. The equation has infinite solution.

The 5th equation is:

$3x + 6 = 3(x + 2) \\ 3x + 6 = 3x + 6 \\ x = x$

This also has infinite solution

The 6th equation is

$3(x - 4) = 4(x - 3) \\ 3x - 12 = 4x - 12 \\ 3x - 4x = - 12 + 12 \\ x = 0$

It has a unique solution.

8 0

4 years ago

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select t

harkovskaia [24]

The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;

2.3p – 10.1 = 6.49p – 4 and
230p – 1010 = 650p – 400 – p

<h3>Which equations have the same solution as the given equation?</h3>

It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.

The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.