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3 years ago

How many hundreds are in 5000

Mathematics

2 answers:

Tatiana [17]3 years ago

6 0

The answer to this question is 50 because you have to multiply 100x50 and you get 5000

NeX [460]3 years ago

5 0

5000 is sometimes pronounced as 50 hundred; There are 50 :)

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A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is

katovenus [111]

Answer:

The constant of variation is 4032

Step-by-step explanation:

Given:

Let a rectangle (say A) has length of rectangle(l)= 72 cm and width of rectangle(w) = 56 cm.

Area of rectangle is multiply its length by its width.

Then,

area of rectangle (A) = $l \times w$ = $72 \times 56$ = 4,032 square cm.

It is given that the other rectangle B has the same area as the rectangle A.

Then, the area of rectangle (B) = area of rectangle (A) = 4,032 square cm. .......[1]

First find the length of rectangle B:

Given: width of the rectangle B is 21 cm

then, by definition

Area of rectangle B = $l \times w$ = $l \times 21$

From [1];

4032 = $l \times 21$

Divide 21 both sides we get;

$l =\frac{4032}{21} = 192$ cm

therefore, the length of rectangle B is 192 cm

To find the constant variation:

if y varies inversely as x

i.e, $y \propto \frac{1}{x}$

⇒ $y = \frac{k}{x}$ where k is the constant variation.

or k = xy

As area of rectangle is multiply its length by width.

This is the inversely variation.

as: $l \propto \frac{1}{w}$

or $l = \frac{A}{w}$ where A is the constant of variation

Since, the area (A) of both the rectangles are constant.

therefore, the constant of variation is, 4032

5 0

3 years ago

A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes

s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

Let x = number of large boxes

y = number of small boxes

Now, "There are 110 boxes in all" means x + y = 110

Now, the pounds for each kind of box is:

(pounds per box)*(number of boxes)

pounds for large boxes + pounds for small boxes = 4200pounds

"the truck is carrying a total of 4200 pounds in boxes"

(45)*(x) + (30)*(y) = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second. Let's solve for x:

x = 110 - y [from eq1]

45(110-y) + 30y = 4200 [from eq2]

4950 - 45y + 30y= 4200 [distribute]

4950 - 15y = 4200

-15y = -750

y = 50 [divide both sides by (-15)]

There are 50 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

x = 110 - y

x = 110 - 50

x = 60

There are 60 large boxes.

Now, let's verify our solution:

Is 60+50= 110 ? [eq1]

110 = 110 ? yes!

Is 60(45) + 50(30) = 4125 ?

2700 + 1500 = 4200 ?

4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

6 0

2 years ago

Read 2 more answers

Calculate and express your answer in decimal form: 1/2 x 17 *

sp2606 [1]

Answer:

8.5

Step-by-step explanation:

5 0

3 years ago

The_________states that the sum measures of the interior angles of a triangle is 180

serious [3.7K]

The Triangle sum theorem states that the sum measures of the interior angles of a triangle is 180 degree

<em><u>Solution:</u></em>

We know that,

The Triangle Sum Theorem states that if you add all three interior angles, those are the angles inside the triangle, they would always add up to 180 degrees.

It is easy to remember that we add the three angle measurements to get 180 degrees because of the word sum in the name of the theorem. To make it short and sweet:

Consider a triangle with interior angles a, b, and c. Then we can say,

$\angle a+\angle b+\angle c=180^{\circ}$

The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem

7 0

3 years ago

The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

-2.968

8 0

3 years ago