suppose that y is varied inversly proportional to x, and that y=0.4 when x=2.5. find k. then find the value of y when x=4

Zareena has 24 minutes to work on her math homework and each problem is taking g her 2/3 of a minute on average to complete whic

adelina 88 [10]

Answer:

16

Step-by-step explanation:

if it takes her 2/3 a minute then

24 divided by 2/3 is the answer

3 0

3 years ago

WHAT IS S=2PIR^2+2PIRH SOLVE FOR H

grigory [225]

$\\~\qquad\quad S\ =\ 2PIR^2+2PIRH\\\underline{-2PIR^2\qquad-2PIR^2\qquad\quad\ }\\\\ S-2PIR^2=2PIRH\\\\ 2PIRH\ =\ S-2PIR^2\\\underline{ :(2PIR)\qquad :(2PIR)}\\\\\\ H=\dfrac{S-2PIR^2}{2PIR}\\\\\\ H=\dfrac{S}{2PIR}-\dfrac{2PIR^2}{2PIR}\\\\\\ H=\dfrac{S}{2PIR}-R$

or:

$\\~\qquad\quad S\ =\ 2PIR^2+2PIRH\\\\~\qquad\quad S\ =\ 2PIR(R+H)\\\underline{:(2PIR)\qquad :(2PIR)}\\\\\\~\ \ \dfrac{S}{2PIR}\ =\ R+H\\\\\\ \dfrac{S}{2PIR}-R=H\\\\\\ H=\dfrac{S}{2PIR}-R$

4 0

3 years ago

What is the length of BC?

Marat540 [252]

Answer:

x = 22, The length of BC is 22

Step-by-step explanation:

It is shown that angle ACB and angle ABC are congruent (The measure of angles are the same) in the picture. Since the angles are congruent, we can say that AC = AB because of base angle theorem converse. We can then substitute the given numbers in for AC and AB. We would then get 2x - 24 = x - 2. If you solve, you would get that x = 22 (The length of BC is 22).

7 0

3 years ago

The equation 5x - 7(x-1) = ax+b has exactly one solution.

Dimas [21]

Answer:

a = -2 and b = 7

Step-by-step explanation:

We need to solve for the value of "a" and "b".

We need to distribute and make the left side of the equation same form as the right side of the equation and match the coefficients, simple.

We will use the distributive property shown below to expand the left side and simplify.

<u>Distributive Property:</u> a(b-c) = ab - ac

Now, simplifying left hand side:

5x - 7(x - 1)

= 5x -7(x) -7(-1)

= 5x -7x +7

= -2x + 7

The right hand side is "ax + b".

If we match left-hand side and right-hand side, we see that:

a = -2

and

b = 7

THese are the only solution.

8 0

3 years ago

Bobby Borrowed 24,000 from two different banks to start a business One Bank charge the equivalent of 4% simple interest in the o

anastassius [24]

Answer:he borrowed $22000 from bank 1.

He borrowed $2000 from bank 2

Step-by-step explanation:

Let x represent the amount of money that he borrowed from bank 1.

Let y represent the amount of money that he borrowed from bank 2.

Bobby Borrowed 24,000 from two different banks to start a business. This means that

x + y = 24000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

Considering the money borrowed from bank 1,

P = x

R = 4%

T = 1

I = (x × 4 × 1)/100 = 0.04x

Considering the money borrowed from bank 2,

P = y

R = 5.5%

T = 1

I = (y × 5.5 × 1)/100 = 0.055y

if the total interest after 1 year was $990, it means that

0.04x + 0.055y = 990 - - - - - -1

Substituting x = 24000 - y into equation 1, it becomes

0.04(24000 - y) + 0.055y = 990

960 - 0.04y + 0.055y = 990

- 0.04y + 0.055y = 990 - 960

0.015y = 30

y = 30/0.015 = $2000

Substituting y = 2000 into

x = 24000 - y, it becomes

x = 24000 - 2000

x = 22000

3 0

4 years ago