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
Firlakuza [10]
3 years ago
8

A 64-inch board is cut into three pieces so that the second piece is twice as long as the first piece, and the third

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0
<h3>Answer:  40 inches</h3>

==========================================================

Explanation:

  • x = first piece
  • 2x = second piece, since its twice as long as the first
  • 5x = third piece, since its five time as long as the first

x is some positive real number, and the units of each are in inches.

Add up the smaller pieces and we should get 64 inches back again

x+2x+5x = 64

8x = 64

x = 64/8

x = 8

The first piece is 8 inches long.

2x = 2*8 = 16 is the length of the second piece (in inches)

The third piece is 40 inches because 5x = 5*8 = 40

--------

Summary:

first = 8 inches

second = 16 inches

third = 40 inches

Check: 8+16+40 = 64, which confirms the answer

You might be interested in
Need help with my Geometry, can someone help me with 4,5 and 10?
xz_007 [3.2K]
For questions 4 and 5, use laws of complementary and supplementary angles to find values of x. I'm not too sure about what question 10 is asking.

Hope I helped :)

6 0
3 years ago
Read 2 more answers
Pls help me with this
Marina CMI [18]

Answer: Can I see the whole questions?

Step-by-step explanation:

6 0
3 years ago
Help please I need this now
professor190 [17]

Answer:

what is the question i cat help without the question

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Marge correctly guessed whether a fair coin turned up "heads" or "tails" on six consecutive flips. What is the probability that
daser333 [38]
There is a 50% chance
4 0
3 years ago
Read 2 more answers
Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?
Alika [10]

Answer:

✑ \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} :

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = \sf{ \frac{30}{40} =  \frac{3}{4}   = 3:4} and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : \sf{ \frac{a}{b}} is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ \underline{ \underline{ \sf{Now \: let's \: solve : }}}

☪ \underline{ \sf{Solution}} :

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , \text{5x +2x = 21}

Solve for x :

⇝ \sf{7x = 21}

⇝ \sf{ \frac{7x}{7}  =  \frac{21}{7} }

⇝ \sf{x = 3}

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}

Hope I helped ! ツ

Have a wonderful day / night ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

6 0
2 years ago
Other questions:
  • The scatter plot shows the relationship between the test scores of a group of students and the number of hours they play compute
    8·2 answers
  • I used 8 bags of sand for 12m2, how much will i need for 15m2
    13·1 answer
  • Which rectangle if translated 3 units left and 10 units down and then reflected over the line x = -5 will result in rectangle E?
    15·1 answer
  • Translate each sentence into an equation.
    12·1 answer
  • A school band is selling raffle tickets for $2 each there are 2 groups selling tickets. Each group have 4 students the tacher gi
    8·1 answer
  • A company makes greeting cards and their research shows that that price and demand are related linearly: p=mx +b.They know that
    8·1 answer
  • 6 less than the product of 5 and a number <br> A. 5-6n<br> B. 6+5n<br> C. 5(n - 6)<br> D. 5n-6
    7·2 answers
  • 1. Elena works out on a treadmill. She uses a program that combines running and walking, She knows that she runs at 0.2 miles pe
    14·1 answer
  • 2) Find the area. *<br> 7 points<br> 12 cm<br> 2 cm<br> 4 cm<br> 6 cm<br> 24<br> O 12<br> 36<br> 48
    15·1 answer
  • Jade wants to build a raised garden bed in her backyard. The garden measures 9 feet in length by 6 feet in width by 4 feet in de
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!