Ask question

Ask question

All categories

3 years ago

9

It takes one week for a crew of workers to pave 3/5 kilometer of a road. At that rate, how long will it take to pave 1 kilometer

?

1 answer:

Flauer [41]3 years ago

8 0

Answer:

1.67 weeks

Step-by-step explanation:

Let X= time it will take to pave 1 kilometer?

1 week=3/5 kilometer

X week =1 kilometer

Cross multiply

3/5 X= 1

3X= 5

X= 5/3

1.67 weeks

You might be interested in

The figures below are similar the label size are corresponding. What is the perimeter of the larger pentagon?

Sonja [21]

The perimeter of the larger Pentagon is 35in. You do 7 times the number of sides (7×5), because all the sides are congruent, which should equal 35.

7 0

3 years ago

Round each decimal to the nearest one then subtract $3.85-$2.17

nadya68 [22]

4-2=2
3.85 rounded to the nearest one is 4
2.17 rounded to the nearest one is 2

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

‾

Calculate Final Amount for Ellie

Compounded Continuously:

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

‾

Calculate Final Amount for Daniel

Compounded Daily:

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:

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

‾

Calculate Final Amount for Ellie

Compounded Continuously:

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

‾

Calculate Final Amount for Daniel

Compounded Daily:

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:

How much more money Daniel has:

60025.6058

−

57394.5504

60025.6058−57394.5504

2631.0554

2631.0554

$

2631

$2631

Round to the nearest dollar−

57394.5504

60025.6058−57394.5504

2631.0554

2631.0554

$

2631

$2631

Round to the nearest dollar

Step-by-step explanation:

3 0

3 years ago

CAN SONEONE PLEASE HELP ME WITH MY MATH PLEASEEEE!!!!!

Marina86 [1]

Answer:

√190

Step-by-step explanation:

In the figure , there are 2 right angled triangles with a common perpendicular & both the triangles combine to form a new right angled triangle.

Let the triangle with 9 as base be T¹ & Let the triangle with base 10 be T². Let the triangle formed by T¹ & T² be T³.

In T² ,

Hypotenuse = y

Base = 10

According to Pythagorean Theorem ,

(Hypotenuse)² = (Base)² + (Perpendicular)²

Hence, (Perpendicular)² = $y^2 - 10^2 = y^2 - 100$

In T¹ ,

Perpendicular = $\sqrt{y^2 - 100}$ (∵ Both T¹ & T² have common perpendicular)

⇒(Perpendicular)² = $y^2 - 100$

Base = 9

⇒ (Base)² = 9²

Hypotenuse =

Using Pythagorean Theorem ,

(Hypotenuse)² = (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² = $y^2 - 100 + 9^2$ .............................................eqn.2

Now in T³ ,

Base = y

⇒ (Base)² = y²

Perpendicular = $\sqrt{(y^2 - 100) + 9^2}$ (∵Perpendicular of T³ = Hypotenuse of T²)

⇒ (Perpendicular)² = $(\sqrt{(y^2 - 100) + 9^2})^2= (y^2 - 100) + 81 = y^2 - 19$

Hypotenuse = 9 + 10 = 19

Using Pythagorean Theorem ,

(Hypotenuse)² = (Perpendicular)² + (Base)²

$=> 19^2 = y^2 - 19 + y^2\\\\=> 2y^2 = 19^2 + 19 = 19(19 + 1) = 19*20\\\\=> y^2 = \frac{19*20}{2} = 19*10 = 190\\ \\=> y =\sqrt{190}$

3 0

3 years ago

Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−2, y+3).

daser333 [38]

Answer:

(0,8)

Step-by-step explanation:

(2,5) to (0,8)

(2-2,5+3) --> (0,8)

3 0

4 years ago