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
Brums [2.3K]
3 years ago
14

A 54-foot piece of siding is cut into three pieces so that the second piece is three times as long as the first piece and the th

ird piece is five times as long as the first piece. If X represents the length of the first piece, find the lengths of all three pieces
Mathematics
1 answer:
LiRa [457]3 years ago
6 0

Answer:

The lenght of the first piece is 6 feet.

The lenght of the second piece is 18 feet.

The lenght of the third piece is 30 feet.

Step-by-step explanation:

Let be:

x the lenght of the first piece (in feet).

3x the lenght of the second piece (in feet).

5x the lenght of the third piece (in feet).

You know that the total lenght of the  piece of siding is 54 feet. This means that:

x+3x+5x=54

Having this expression, you can solve for "x":

9x=54\\\\x=\frac{54}{9}\\\\x=6

Therefore, the lenght of the first piece is 6 feet.

Then:

3x=3(6)=18 (The lenght of the second piece is 18 feet)

5x=5(6)=30 (The lenght of the third piece is 30 feet)

You might be interested in
What is the score range for the smallest percent of students
andre [41]
<h2>Answer:</h2>

The score range for the smallest percent of students is:

                         400 to 700

<h2>Step-by-step explanation:</h2>

From the pie chart or circle graph that is provided to us the smallest percent of the students are 10%

( Since 10%  is smallest among 14%,42%,34% and 10%)

and we may observe that the smallest region is denoted  or represented by the dark blue region and the range of the score of blue region that is given to us is:

                  400 to 700

   Hence, the answer is:

                   400 to 700

8 0
2 years ago
Someone help me please!<br> *not a test or quiz*
spin [16.1K]

whenever you see this kind of question you don't need to start doing all the expressions, but look at the first and last numbers of the answer, the ones that cannot be changed (have no x or y or have those that cannot be changed in this expression):

the answer can't be a or c because in the given expression we can find 3x²y² and that's the only number where we can find x²y², so it cannot be changed. (you'll have 3x²y² in the answer)

now let's look at the last digit, that doesn't have a x or a y:

in b and d we can find 2 different results so this can determine which answer is correct:

let's look back at the given expression: -7+4= -3

so the answer is b

7 0
2 years ago
Suppose the volume of a cylinder is 169.65 ft cubes and the height is twice the radius what is the radius of the cylinder.
Delvig [45]

Answer:

The radius of the cylinder is r=3\ ft

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

V=\pi r^{2} h

we have

V=169.65\ ft^{3}

h=2r\ ft

assume

\pi=3.14

substitute the values and solve for r

169.65=(3.14)r^{2} (2r)

169.65=(6.28)r^{3}

r^{3}=169.65/(6.28)

r=3\ ft

3 0
3 years ago
25x^2-16 how to factor
kotykmax [81]

Did you learn how to factor the difference of two squares ?

This thing is the difference of two squares.

The first term is the square of      5x .
The second term is the square of  4 .

When it's factored, it's

              (sum of the square roots) x (difference of the square roots) .

               25 x² - 16     =     (5x + 4) times (5x - 4) .

To check it, go ahead and FOIL that out, and you'll get    25x²-16 .

4 0
2 years ago
10-kg batch of a food product has a moisture content of175% dry basis. Calculate the amount of water to beremoved from the produ
sleet_krkn [62]

Answer:

4.9kg of water

Step-by-step explanation:

Dry basis is the percentage ratio of moisture amount to amount of dry product which is 175%

Ratio of moisture amount to dry product = 175 : 100

Mass of food product = 10kg

Amount of moisture in food product = 175/175+100 × 10kg = 175/275 × 10kg = 6.4kg

Wet basis is the percentage ratio of the moisture amount to the total weight of material which is 15%

Ratio of moisture amount to total weight of material is 15 : 100

Amount of moisture in food product = 15/100 × 10kg = 1.5kg

Amount of water contained in the final product = 1.5kg

Amount of other components in the food product = 10kg - 6.4kg = 3.6kg

Total amount = 1.5kg + 3.6kg = 5.1kg

% of water = 1.5kg/5.1kg × 100 = 29%

3 0
3 years ago
Other questions:
  • What is the word form and the expanded form of 427.968?
    10·1 answer
  • What is (34) plus 70-35 equal
    15·2 answers
  • Which of the following is TRUE about a TCF Free Student Checking Account?
    7·2 answers
  • Your new computer cost 1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years
    8·2 answers
  • The circumference of a circle is 60 pie cm. What is the length of an arc of 140 degrees?
    9·2 answers
  • The Lumberjack Hardware store found that 5 out of every 10 paint sprayers they recently received were not properly assembled. If
    9·1 answer
  • 1 Point
    7·1 answer
  • Plz help asap!!!
    5·1 answer
  • Arnav was 1.5 m tall. In the last couple of years, his height has increased by 20% percent.
    7·2 answers
  • A chemist has three different acid solutions.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!