What is 38,721 to the nearest hundreds

Eugenia walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph

kondor19780726 [428]

Let us say distance between Eugenia's home and school is x miles.

Speed of Eugenia when she walked from home to school = 3 mph

Speed of Eugenia when she walked from school to home = 7 mph

Total time taken = 45 minutes or 0.75 hours

We know that the speed distance formula is given by:

$speed=\frac{distance}{time}$

$time=\frac{distance}{speed}$

Time taken by Eugenia when she walked from home to school = x/3 hours

Time taken by Eugenia when she walked from school to home = x/7 hours

Total time taken = x/3+x/7

So forming an equation we have,

$\frac{x}{3}+\frac{x}{7}=0.75$

Taking lcd of 7 and 3 as 21,

$\frac{7x}{21}+\frac{3x}{21}=0.75$

$\frac{10x}{21}=0.75$

10x=15.75

Dividing both sides by 10 , we have

x= 1.575

Answer: So we can say that the distance between Eugenia's house and school is 1.575 miles.

4 0

3 years ago

How do i solve the system of equations by graphing?<br>2x+y=7 <br>x-2y=6

scoray [572]

Answer:

Step-by-step explanation:

1. y = -2x + 7

2. Graph it (Mark (0, 7) or 7 on the y axis and go over one, down two, mark it and draw a line through both)

3. -2y = -x + 6

4. divide entire equation by 2 to isolate y

5. -y = -x + 3

6. multiply entire equation by -1 to make it positive

7. y=x+3

8. graph it (Mark (0,3) and go over one, down one, mark it and draw a line through both new points)

9. Where the lines intersect is your answer

8 0

3 years ago

Carter invested 540 in an account paying an interest rate of 4 and 7/8% compounded monthly. Jack invested 540 in an account payi

alukav5142 [94]

Answer:

Step-by-step explanation:

4 0

3 years ago

In the Holiday Shop the manager wants 20% of the total inventory in the stockroom and the rest displayed on the floor. After mee

Lilit [14]

Answer:

Total inventory: $175,000

Inventory in the stockroom: $35,000.

Inventory on the selling floor: $140,000.

Step-by-step explanation:

Let x be the the total inventory.

We have been given that in the Holiday Shop the manager wants 20% of the total inventory in the stockroom. You placed $35,000 of inventory in the stockroom.

We can set an equation such that 20% of x equals $35,000.

$\frac{20}{100}\cdot x=\$35,000$

$0.20x=\$35,000$

$\frac{0.20x}{0.20}=\frac{\$35,000}{0.20}$

$x=\$175,000$

Since $35,000 of inventory in the stockroom, so we will subtract $35,000 from $175,000.

$\text{Amount of the inventory on the selling floor}=\$140,000$

Therefore, $140,000 of the inventory on the selling floor.

7 0

3 years ago

The graphs below have the same shape. Complete the equation of the blue

jok3333 [9.3K]

Answer:

the answer is G(x)=x^2 + 1

if you add +1, the y value will increase 1 point upward making the other function equal to g(x)=x^2 + 1. the difference between the two functions is the + 1.

4 0

3 years ago

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