1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erastovalidia [21]
4 years ago
5

A rectangle has a height to width ratio of 3:4.5 give two examples of dimensions for rectangles that could be a scaled versions

of this rectangle
Mathematics
1 answer:
Irina18 [472]4 years ago
7 0

Answer: height=6, width=9 and height=15, width=22.5

Step-by-step explanation:

If the rectangle has a  height (h) to width (w) ratio of 3:4.5:

\frac{h}{w}=\frac{3}{4.5}=0.66

We can find other dimensions that fit this relation by multiplying the same number in the numerator as in the denominator.

For example:

If we multiply \frac{3}{4.5} by \frac{2}{2}:

(\frac{3}{4.5})(\frac{2}{2})=\frac{6}{9}=0.66

As we can see \frac{6}{9} gives ues the same result as \frac{3}{4.5}

Another example:

If we multiply \frac{3}{4.5} by \frac{5}{5}:

(\frac{3}{4.5})(\frac{5}{5})=\frac{15}{22.5}=0.66

As we can see \frac{15}{22.5} gives ues the same result as \frac{3}{4.5}

You might be interested in
To find the percent of the yellow tint in the new mixture?
Ivanshal [37]
1)We need to know the amount of yellow tint in the old mixture.

amount of yellow tint=30% of 40 liters
30%=30/100=0.3

Amount of yellow tint=0.3(40 liters)=12 liters.

2)We need to find the amount of yellow tint in the new mixture.

amount of yellow tint in the new mixture=12 liters + 9 liters=21 liters.

3) we calculate the amount of the new mixture:
amount of new mixture=40 liters + 9 liters=49 liters

4) we compute the percent of yellow tint in the new mixture:

percent of yellow tint =(amount of yellow tint / amount of mixture)*100

percent of yellow tint=(21 liters / 49 liters)100≈42.9%

Answer: The percent of yellow tint in the new mixture is 42.9%. 

note: if this answer is not correct you can try it  with 42.8%
6 0
3 years ago
What is the sum of 2/11, 7/11, and 1/11
Nookie1986 [14]

Answer:

10/11

Step-by-step explanation:

The fractions already have like denominators so you just add the numerators as there is no need to find the LCM but just in case

5 0
3 years ago
The mean per capita income is 15,451 dollars per annum with a variance of 298,116. What is the probability that the sample mean
docker41 [41]

Answer: 0.5467

Step-by-step explanation:

Let X be the random variable that represents the income (in dollars) of a randomly selected person.

Given : \mu=15451

\sigma^2=298116\\\\\Rightarrow\ \sigma=\sqrt{298116}=546

Sample size : n=350

z-score : \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

To find the probability that the sample mean would differ from the true mean by less than 22 dollars, the interval will be

\mu-22,\ \mu+22\\\\=15,451 -22,\ 15,451 +22\\\\=15429,\ 15473

For x=15429

z=\dfrac{15429-15451}{\dfrac{546}{\sqrt{350}}}\approx-0.75

For x=15473

z=\dfrac{15473-15451}{\dfrac{546}{\sqrt{350}}}\approx0.75

The required probability :-

P(15429

Hence, the required probability is 0.5467.

3 0
3 years ago
A store sells 7 different types of envelopes and 6 different types of postage stamps. How many different combinations are there
solong [7]
Answer

42

Explanation

Let’s say:

Set of envelopes: {a,b,c,d,e,f,g}

Set of postage stamps: {1,2,3,4,5,6}

For an envelope you can have:

1a 2a 3a 4a 5a 6a (6 different combinations)

This applies to all 7 different types of envelopes.

Therefore 7 • 6 = 42
5 0
3 years ago
An oil tank is being filled at a constant rate the depth of the oil is a function of the number of minutes has been filling, as
satela [25.4K]

We are given time in minutes.

According to given table, we are given times 0 minute, 10 minutes and 15 minutes.

And depths are given 3, 5 and 6.

Times represents x coordinates and depths represents y-coordinates.

First we need to find the depth of the tank in per unit time( in a minute).

In order to find the depth of the tank in per unit time, we need to find th slope between two coordinates.

Let us take first two coordinate made using table (0,3) (10,5)

We know, slope formula

m=\frac{y_2-y_1}{x_2-x_1}

Plugging values in slope formula, we get

m= \frac{5-3}{10-0}=\frac{2}{10}=\frac{1}{5}

We got slope m= 1/5=0.2.

We can say that depth of the tank is increasing by rate 0.2 per minute.

From the given table, we can see that for x=0, y value is 3.

Therefore, y-intercept is 3.

Let us write an equation of the line for given table in slope-intercept form y=mx+b.

Plugging values of m and b in slope-intercept form, we get

y= 0.2x+3.

We need to find the depth after 1/2 hours.

1 hour = 60 minutes,

Therefore, 1/2 hours = 60/2 = 30 minutes.

Plugging value of x=30 in above slope-intercept form of the equation, we get

y= 0.2(30)+3.

y= 3+6 = 9.

y=9

Therefore, the depth of the oil 1/2 hour after filling begins is 9 units.

5 0
3 years ago
Other questions:
  • Marla bought 12 books at a garage sale. Some of them were hardback and the rest were paperback. She paid $0.50 for each paperbac
    13·2 answers
  • No one answer this or else their will be consequences
    12·2 answers
  • Which is the correct formula to find the distance between two points (p,q) and (m,n)?
    10·2 answers
  • What's quotient mean
    12·2 answers
  • Explain in your own words why (x + y)2 ≠ x2 + y2. Provide a numerical example to illustrate.
    7·1 answer
  • Martin is asked to find the probability of getting 1 head and 3 tails on 4 coin tosses. This is a simple event
    15·1 answer
  • Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each w
    15·1 answer
  • Find the sum of all natural numbers between 25 and 210 which are either divisible by 3 or divisible by 4? Please let me know ​I
    10·1 answer
  • What is the estimate for each expression? Drag the number to each box.
    14·2 answers
  • Plizzz answer asap!!!!!​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!