All categories

1 year ago

the area of a rectangle is 160 in squared. the ratio of the length to the width is 5:2 find the length and width

Mathematics

1 answer:

Eddi Din [679]1 year ago

7 0

let x=length

let y=width

x/y=5/2

y=2x/5

area=length*width

area=x*y=x(2x/5)=2x^2/5

2x^2/5=360

2x^2=1800

x^2=900

x=30

y=60/5=12

length= 30 inches

width= 12 inches

there you go!

You might be interested in

. A rectangular sheet of dimensions 33 cm x 24 cm is rolled into a cylinder so that the smaller side becomes the height of the c

GalinKa [24]

Answer:

$V=2078.16\ cm^3$

Step-by-step explanation:

A rectangular sheet of dimensions 33 cm x 24 cm is rolled into a cylinder so that the smaller side becomes the height of the cylinder.

h = 24 cm

and the circumference of the cylinder, C = 33 cm

$2\pi r=33\\\\r=\dfrac{33}{2\pi}\\\\r=5.25\ cm$

We need to find the volume of the cylinder so formed. The formula for the cylinder is given by :

$V=\pi r^2h\\\\=\pi \times 5.25^2\times 24\\\\=2078.16\ cm^3$

So, the volume of the cylinder so formed is $2078.16\ cm^3$ .

3 0

1 year ago

An elementary school teacher wants to know if the words in a book are too difficult for her students. She reads the first senten

raketka [301]

Answer:

d.every word in the first sentence of the first page of every chapter.

Step-by-step explanation

the sample space means the set of total possible outcomes or ALL possible outcomes.

so here, the situation is about the teacher reading a sentence.

the favorable outcome is the set which has all the words that the students would not know from all the words read by the teacher or simply from the sample space.

since the teacher reads the first sentence on the first page in every chapter , all the words in that sentence will be sample in this situation.

7 0

1 year ago

A survey of pet owners shows that:

Tpy6a [65]

D have neither a cat nor a dog

8 0

8 months ago

Read 2 more answers

A card is drawn from a deck of cards numbered one through twenty. The card is NOT replaced and another card is drawn. Find the p

Bess [88]

Answer:

B) P(two prime numbers are drawn in a row) = 14/95

Step-by-step explanation:

Total cards in the deck = 20

Total prime numbered cards in deck = { 2, 3, 5, 7, 11, 13, 17, 19} = 8 cards

So, Probability of picking two prime cards from deck (without replacing)

= Probability of picking first prime card x Probability of picking second prime card

P( picking first prime card ) = $\frac{\textrm{Total prime cards in the deck}}{\textrm{Total available cards}}$

= $\frac{8 }{20} = \frac{2}{5}$

P( picking second prime card ) = $\frac{\textrm{Total prime cards in the deck}}{\textrm{Total available cards}}$

= $\frac{7}{19}$

Hence, the total probability = $\frac{2}{5} \times \frac{7}{19} = \frac{14}{95}$

or, B) P(two prime numbers are drawn in a row) = 14/95

4 0

1 year ago

UPS charges $7 for the first pound and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

mixas84 [53]

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where is pounds and is total cost:

UPS:

FedEx:

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is . That would turn the equation into:

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

Now, you must divide both sides by .

That would give us:

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: .

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

5 0

1 year ago