Micah deposited $4000 between two savings account. One account earns 4%

Kate bought 3 used CDs and 1 used DVD at the bookstore. Her friend Joel bought 2 used CDs and 2 used DVDs at the same store. If

natka813 [3]

Answer:

Cost of 1 DVD is $6.5

Cost of one CD is $4.5

Combine cost of one DVD and CD is $11

Step-by-step explanation:

Given :

Kate bought 3 used CDs and 1 used DVD at the bookstore.

Her friend Joel bought 2 used CDs and 2 used DVDs at the same store.

Kate spent $20

Joel spent $22

To Find : the cost of a used CD and a used DVD

Solution :

Let cost of 1 used CDs be $x

Let cost of 1 used DVDs be $y

Cost of 3 used CDs = $3x

Cost of 2 used CDs = $2x

Cost of 2 used DVDs = $2y

Kate bought 3 used CDs and 1 used DVD at the bookstore.

She spent $20

So, equation becomes :

⇒ $3x+y=20$ ---(a)

Joel bought 2 used CDs and 2 used DVDs. she spent $22.

So, equation becomes:

⇒ $2x+2y=22$ --(b)

Now solve (a) and (b) to determine the value of x and y

We will use substitution method

Substitute the value of x from (b) in (a)

$3(\frac{22-2y}{2} )+y=20$

$33-3y+y=20$

$33-2y=20$

$33-20=2y$

$13=2y$

$\frac{13}{2} =y$

$6.5 =y$

Thus cost of 1 DVD is $6.5

Now substitute this value of y in b to get value of x

⇒ $2x+2(6.5)=22$

⇒ $2x+13=22$

⇒ $2x=22-13$

⇒ $2x=9$

⇒ $x=\frac{9}{2}$

⇒ $x=4.5$

Thus the cost of one CD is $4.5

Hence the combine cost of one DVD and CD = $6.5+ $4.5=$11

6 0

4 years ago

WILL GIVE 20 POINTS PLEASE HELP

Mila [183]

Answer:

y = x + 6

Step-by-step explanation:

y = x + b

when x = 0, y = 6. so....

6 = (0) + b

6 = b

so, y = x + 6

7 0

3 years ago

Suzanne bought 50 apples at the apple orchard. She bought 4 times as many red apples as green apples. How many more red apples t

Gennadij [26K]

The problem is basically asking you _ x 4 = 50, so, what is 1/4 of 50? (12.5)

3 0

3 years ago

Read 2 more answers

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

7/8 is equal to what fraction

34kurt

Answer:

7/8 = 14/16

Step-by-step explanation:

7/8 * 2/2 = 14/16

8 0

3 years ago

Read 2 more answers