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
weeeeeb [17]
3 years ago
8

By decreasing each dimension by 1 unit, the area of a rectangle deceased from 40 square feet to 28 square feet. Find the percent

decrease in area.
Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

30%

Step-by-step explanation:

Initial area is 40 square feet

Final area is 28 square feet

Difference between the initial and final areas will be 40-28=12 square feet

Taking the initial area as the base area and expressing the area change in percentage then the percentage decrease will be equivalent to

\frac {12\times 100}{40}=30

Therefore,  the decrease in area expressed as a percentage is equal to 30%

You might be interested in
The next number in the series of intervals of 38, 36,30,28,22,is=
Ivenika [448]
There is a pattern of -2, -6, so the next number is 20.
7 0
3 years ago
in a given classroom the number of girls is 10 greater than number of boys if the ratio of the number of girls to the number of
Xelga [282]

Answer:

a) 35,  b) 25,  c) 60

Step-by-step explanation:

The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.

Number of boys:  b

Number of girls:  b + 10

Ratio of girls:boys is 7:5, so

\frac{b+10}{b}=\frac{7}{5}

"Cross multiply" to get

7b=5(b+10)\\7b=5b+50\\2b=50\\b=25

There are 25 boys.  There are 10 more girls, so the number of girls is 35, and the total number of students is 60.

That's a packed classroom!

8 0
3 years ago
The value of x for which 3 (x-2) = 2 (x+1)​
netineya [11]

Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

3(x - 2) = 2(x + 1)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                     3x - 6 = 2x + 2
  2. Subtract 2x on both sides:          x - 6 = 2
  3. Add 6 to both sides:                    x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(8 - 2) = 2(8 + 1)
  2. Subtract/Add:                      3(6) = 2(9)
  3. Multiply:                               18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 8 is a solution to the equation.

7 0
3 years ago
I need help on this math plz help
Inessa [10]

Answer:

1250 pounds

Step-by-step explanation:

1625=x+30%

1625=1.3x

x=1250

6 0
3 years ago
Read 2 more answers
I forgot how to do this​
adoni [48]

Answer:

\boxed{ \bold{  \huge{ \boxed{ \sf{1}}}}}

Step-by-step explanation:

\sf{ \frac{1}{2}  \times 2}

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

\dashrightarrow{ \sf{ \frac{1 \times 2}{2 \times 1} }}

\dashrightarrow{ \sf{ \frac{2}{2} }}

\dashrightarrow{ \sf{1}}

Or, You can simply reduce the fraction with 2, which results to 1.

Hope I helped!

Best regards! :D

6 0
3 years ago
Other questions:
  • How would a weather reporter say 0.103 meters of snow
    15·1 answer
  • If one cup is equal to 8 fluid ounces, how many fluid ounces are in 3 cups? Numerical Answers Expected!
    8·2 answers
  • The value of 2a squared + 5b squared when a=-6 and b=2<br> <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%202ax%5E%7B2%7D" id="Te
    7·1 answer
  • (1,5) and (2,3) write a linear function in the form y=Mx+b for the line
    10·1 answer
  • Which of the following modifications to the list of assets and liabilities below would result in an increase in net worth?
    5·2 answers
  • A carnival costs $10.50 to enter plus an additional $3.50 per ticket for rides and food.
    8·1 answer
  • 1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up
    9·1 answer
  • Biking at 10 mph, it takes Kristen 1/2 hour to reach the train station to go to work. Kristen then takes the train to work, and
    5·2 answers
  • A girl is twice as old as her brother and half as old as her dad. in 22 years, her brother will be half as old as his father. ho
    14·1 answer
  • Which expression is equal to 3/5 ?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!