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
zhannawk [14.2K]
3 years ago
11

A board 60 in. Long is cut two parts so that the longer piece is 5 times the shorter. What are the length of the two pieces?

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

The shorter piece is 10 in. and the longer one is 50 in.

Step-by-step explanation:

First, let's set the shorter piece to be length x. Then the longer piece is 5x, or 5 times longer than the shorter piece.

Since both pieces combined equals to the length of the entire board, we can set these two lengths equal to it:

x + 5x = 60

And now solve for x:

6x = 60

x = 10 in (length of shorter piece)

Now let's find the length of the longer piece:

Longer = 5x = 5(10) = 50 in.

You might be interested in
Which is equivalent to sqrt 180x^11 after it has been simplified completely?
lorasvet [3.4K]

Answer:

180x^5.5

Step-by-step explanation:

6 0
2 years ago
Could you explain why the answer 125 was supposed to be negative while my answer 81 was correct?
hichkok12 [17]

Answer:

Step-by-step explanation:

Realize what (-5)^3 means

(-5)(-5)(-5)

25(-5)

-125

meanwhile

(-9)^2 is

(-9)(-9)

81

Basically a negative times a negative is always positive, but when a negative number is cubed (or raised to any odd exponent for that matter) the product will be negative.

5 0
2 years ago
mark bought 3 tickets to a baseball game that cost 4.35 each. he also bought a bag of peanuts for 5.65 how much money did mark s
marin [14]

3x4.35=13.05

13.05+5.65=18.7

18.7 Is your answer. Hope this helps!

6 0
3 years ago
Determine an equation of a Quadratic function
Pepsi [2]

Answer:

y = -4x² + 32x - 48

Step-by-step explanation:

The standard form of a quadratic equation is  

y = ax² + bx + c

We must find the equation that passes through the points:

(2, 0), (6,0), and (3, 12)

We can substitute these values and get three equations in three unknowns.

0 = a(2²) + b(2) + c

0 = a(6²) + b(6) + c

12 = a(3²) + b(3) + c

We can simplify these to get the system of equations:

(1)   0 =    4a + 2b + c

(2)  0 = 36a + 6b + c

(3) 12 =   9a + 3b + c

Eliminate c from equations (1) and (2). Subtract (1) from (2).

(4) 0 = 32a + 4b

Eliminate c from equations (2) and (3). Subtract (3) from (2).

(5) -12 = 27a - 3b

Simplify equations (4) and (5).

(6)  0 = 8a + b

(7) -4 = 9a  - b

Eliminate b by adding equations (6) and (7).

(8) a = -4

Substitute (4) into (6).

    0 = -32 + b

(9) b =  32

Substitute a and b into (1)

0 = 4(-4) + 2(32) + c

0 = -16 + 64 + c

0 = 48 + c

c = -48

The coefficients are

a= -4, b = 32, c = -48

The quadratic equation is

y = -4x² + 32x - 48

The diagram below shows the graph of your quadratic equation and the three points through which it passes.

4 0
3 years ago
A three digit divisible by 3,5 and 6
kondaur [170]
Your answer is three hundred and thirty six (336)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Convert 14 ft in yd and ft
    12·1 answer
  • What is the probability of rolling a number less than 4 on a number cube labeled 1 through 6?
    14·2 answers
  • 11. The perimeter of a rectangle is 60 cm. The length is four times the width. What
    15·1 answer
  • Find the equation of the circle that satisfies the given conditions. radius 4 and center (3, -1)?
    13·1 answer
  • The coordinates of triangle BCD are B(8.2), C(11, 13) and D(2,6). Which equality proves that triangle BCD is isosceles? (d =
    5·2 answers
  • PLEASE HELP DUDE I AM NOT SMART ENOUGH FOR THIS
    10·2 answers
  • If the opposite of g(x) is –g(x),<br> then –g(x) =
    15·1 answer
  • H(x) = x^2+6 g(x) = 8x-5 <br><br> show that hg(x)=19 simplifies to 16x^2 - 20x + 3 = 0
    13·1 answer
  • Giving brainlyist to the person with the correct answer
    13·2 answers
  • Percentages What percentage is R10 of R200? R10 100 X R200 <br>​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!