Lian has Z pennies. How many dollars does she have,

A man drove 15/4 miles from his home to his office. He then went out for lunch to a nearby restaurant 2/3 miles from his office

Genrish500 [490]

Let's get all of the distances lined up:

$\frac{15}{4}$ = home to office
$\frac{2}{3}$ to a restaurant
$\frac{2}{3}$ back to the office
$2$ = store
$\frac{11}{6}$ = back home

So then we just add up all of the numbers. However we need to make sure that there is a common denominator. Let's make the common denominator 12, since that is a common factor to all of the denominators in the problem:

$\frac{45}{12}$ = home to office
$\frac{8}{12}$ to a restaurant
$\frac{8}{12}$ back to the office
$\frac{24}{12}$ = store
$\frac{22}{12}$ = back home

Then let's add them up:

$\frac{45}{12} + \frac{8}{12}+ \frac{8}{12}+ \frac{24}{12}+ \frac{22}{12}= \frac{107}{12} miles$

This does not reduce to a nice number, however, we can simplify to:

$8 \frac{11}{12}miles$

5 0

3 years ago

Need help with problem asap

Elina [12.6K]

It’s proportional because it has a common rate. the 200 square foot room multiplied by the $3 for each square foot would be 600 and same with the 300 square foot house that costs $900. it has a common factor or rate

6 0

3 years ago

What is 240 times 365?

Tanzania [10]

Hey there

<span>240 times 365 can be written as 240 x 356.

</span><span>240 x 356 = </span>87600

6 0

3 years ago

Read 2 more answers

Can you guys help me with question

Karolina [17]

Yes if you tell us wha5 your question is.

8 0

3 years ago

Read 2 more answers

Find the perimeter of the following shape, rounded to the nearest tenth:

Mademuasel [1]

Answer:

B, 19.1

Step-by-step explanation:

Imagine that each side is the hypotenuse of a triangle. You want to use the Pythagorean theorem on each of these triangles to find the length of the side.

Let's start with AB:

One side of the triangle is the distance between the points in the x direction only. A is at the x-coordinate of -3 while B is at the x-coordinate of 2. The side is, thus, 5 units.

The other side of the triangle is the distance between the points in the y direction only. A is at the y-coordinate of 5, while B is at 6. The distance is 1 unit.

So we have a triangle with the base of 5 and the height of 1. The Pythagorean theorem says:

Base² + Height² = Hypotenuse²

Or

a² + b² = c²

where a, b are the sides, and c is the hypotenuse.

Put our values into this, the base is 5 and the height is 1:

5² + 1² = c²

25 + 1 = 26 = c²

c = √26 ≈ 5.1

Repeat this for the lengths BC, CD, and DA.

BC

x-difference = 2

y-difference = 4

4² + 2² = c²

20 = c²

c = √20 ≈ 4.47

CD

x-difference = 5

y-difference = 1

(since this is the same as AB we can use that value ≈ 5.1 )

DA

x-difference = 2

y-difference = 4

(since this is the same as BC, we can use that value ≈ 4.47)

Add all these together:

5.1 + 5.1 + 4.47 + 4.47 ≈ 19.14

(Note: this is not exact, but it's good enough for this purpose)

The closest option to this is B, 19.1 - thus, B is the answer.

5 0

3 years ago