Convert 1 inch into feet. Round your answer to the nearest hundredth.

If the perimeter of A rectangle is 70" in and the length is 11" in more than its width find the area of the rectangle

steposvetlana [31]

First, write an equation system based on the problem
An equation for "the perimeter of a rectangle is 70 in" can be written as following
∴ 2l + 2w = 70 <em>(first equation)</em>
An equation for "the length is 11 in more than its width" can be written as following
∴ l = w + 11 <em>(second equation)</em>

Second, solve the equation by substitution method o find the dimension of the rectangle.
Substitute/plug l as (w+11) into the first equation
2l + 2w = 70
2(w + 11) + 2w = 70
2w + 22 + 2w = 70
4w + 22 = 70
4w = 70 - 22
4w = 48
w = 48/4
w = 12
The width of the rectangle is 12 in

Substitute w with 12 to the second equation
l = w + 11
l = 12 + 11
l = 23
The length of the rectangle is 23 in

Third, find the area of the rectangle
a = l × w
a = 23 × 12
a = 276
The area of the rectangle is 276 in²

4 0

3 years ago

4 movie tickets cost $24. How much do 7 movie tickets cost?

Inga [223]

Answer:

$42

Step-by-step explanation:

Hope this helps!

=)

7 0

3 years ago

Read 2 more answers

What are some expressions that equals 3x-4

Misha Larkins [42]

1/2(6x-8) could be one

8 0

3 years ago

Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded

Mila [183]

Answer:

Rate 1: 8

4

1

%=8+1/4=

8.25

%

→

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

%=8+1/2=

8.5

%

→

0.085

8.5%→0.085

Calculate Final Amount for Ellie

‾

Calculate Final Amount for Ellie

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

‾

Calculate Final Amount for Daniel

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

60025.6058

Rate 1: 8

4

1

%=8+1/4=

8.25

%

→

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

%=8+1/2=

8.5

%

→

0.085

8.5%→0.085

Calculate Final Amount for Ellie

‾

Calculate Final Amount for Ellie

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

‾

Calculate Final Amount for Daniel

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

60025.6058

−

57394.5504

60025.6058−57394.5504

2631.0554

$

2631

$2631

Round to the nearest dollar−

57394.5504

60025.6058−57394.5504

2631.0554

$

2631

$2631

Round to the nearest dollar

Step-by-step explanation:

3 0

3 years ago

One out of 23 high school ball players plays college ball. One out of 35 college players plays professional ball. What fraction

Gnoma [55]

Answer:

$\frac{35}{23}$ is the required fraction.

Step-by-step explanation:

We have been given that 23 high school ball players plays college ball.

And 35 college players plays professional ball

So we need to find fraction of high school players professional ball

$\frac{35}{23}$ is the required fraction.

6 0

3 years ago