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
alina1380 [7]
2 years ago
13

A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 met

ers, it would be a square. What are the rectangle’s dimensions?
Mathematics
1 answer:
valkas [14]2 years ago
7 0

Answer:

Length equals 16 and Width equals 4

Step-by-step explanation:

First let us create an equation. We can use L and W for length and width.

If the length is 4 times the width, then we end up with: L = 4W

It then says, " If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square."

Since a square has an equal length and width then we end up with:

L - 6 = W + 6

Knowing this we can just substitute the first equation into the second one leaving us with: 4W - 6 = W + 6

We then remove a W from both sides so that the right side is left with a 6, and add 6 to both sides to remove the -6 from the left one.

This leaves us with 3W = 12

W = 4, and if we put that into our first equation, L = 4W, then Length equals 16, and Width equals 4. We can check this by putting it into the 2nd equation. 16 - 6 = 4 + 6.

You might be interested in
Please help please.......​
faust18 [17]
1. 34.8 2. 127.2 the other ones
7 0
2 years ago
What is the value of x?
SCORPION-xisa [38]
the value of x would be 150
8 0
3 years ago
Read 2 more answers
Simplify.<br> 3sqrt -64m^15n^3<br><br> -8m^5<br> -8m^5n<br> -4m^5n<br> -4m^5
makkiz [27]

Answer:

-4m^5n

Step-by-step explanation:

∛-64 = -4

\sqrt[3]{m^{15}} =m^5

∛n³ = <em>n</em>

8 0
3 years ago
Read 2 more answers
3. Are these ratios equivalent? 35:28 and 10:8 *
attashe74 [19]

Reduce each ratio to its minimum expression to find if they are equal.

35:28

\begin{gathered} \frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ =\frac{5}{4} \end{gathered}

10:8

\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}

Since both ratios reduce to 5:4, they are equivalent.

Another way to check a:b is equivalent to c:d, is that a*d = b*c

In this case, this will be true if 35 times 8 is equal to 10 times 28:

\begin{gathered} 35\cdot8=280 \\ 10\cdot28=280 \end{gathered}

Since both products are equal, then the ratios are equivalent.

4 0
1 year ago
Use the ladder method to find the factored version of this expression. (3x-18)
Vera_Pavlovna [14]

Answer:

-51

Step-by-step explanation:

cheggs acc

6 0
3 years ago
Other questions:
  • Thirty two divided by the opposite of 4
    15·2 answers
  • PLEASE GIVE ANSWER AND I WILL GIVE YOU BRAINLIEST
    9·2 answers
  • To divide 572 by 4 Stanley estimated to place the first digit of the quotient. In which place is the first digit of the quotient
    13·2 answers
  • Shawn's mobile home is 7.2 meters wide and 19.5 meters long. What is its area?
    15·1 answer
  • Tina has stacks of 5 cds on each of the 3 shelves. How many cds does she have in all?
    5·2 answers
  • Can someone help me please?
    14·1 answer
  • Write a fraction, less than 1 with a denominator of 6 that is greater than 3/4
    10·1 answer
  • If the price of a shirt is $30 before tax is added on, and tax is 10%, what will the final price of the shirt be?
    12·1 answer
  • Por favor ayudenme con explicacion
    10·1 answer
  • 8. Of the 400 employees, 5% of them are managers. How many managers does the zoo employ?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!