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
miss Akunina [59]
3 years ago
14

Mr cruz cut three pieces of wood for a project .The first piece of lumber is the longest.The second is 7/8 times as long as the

first piece . the third piece is 12 5/16 inches shorter than the second piece the their piece is 24 7/16 inches long
A)How long is the first piece of wood?
B)How much wood did Mr cruz use to make all 3 pieces?
c)Mr cruz has 32 ft of lumber left he wants to cut 4 more of each of the pieces described above does he have enough lumber?justify your answer
Mathematics
1 answer:
madreJ [45]3 years ago
3 0

1st piece is the longest

 2nd piece is 24 7/16 + 12 5/ 16 = 36 3/4 inches long

3rd piece is 24 7/16 inches

 2nd piece is 7/8 as long as first piece so divide the length of the 2nd piece by 7/8

3 3/4 / 7/8 = 42 inches

A) 1st piece is 42" long

 B) now add them all: 42 + 36 3/4 + 24 7/16 = 103 3/16 inches total

C) 103 3/16 inches / 12 = 8.6 feet

8.6 x 4 = 34.4 feet, he has 32 feet so he does not have enough to cut 4 more of each size.

You might be interested in
A triangular prism is shown below. the base of the prism is a right triangle.
Nimfa-mama [501]
The product is 60.

We start out with the information we have.  This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30.  Using the Pythagorean theorem we have

x²+24²=30²
x²+576=900

Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324

Take the square root of each side:
√x²=√324
x=18

We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:

720=(1/2*18*24)y
720=216y

Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y

This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
6 0
3 years ago
En un salon de clases cuando se colocan cuatro alumnos en cada banca, 3 de ellos quedan sin puesto y cuando se colocan de a 5 en
Harlamova29_29 [7]

Answer: 5 benches and 23 students

Step-by-step explanation:

I will answer in English.

We have E students and B benches.

If we sit 4 students per bench, we have 3 students left.

then:

E = 4*B + 3

And if we sit 5 students per bench, there are two places with no students sited.

E = 5*B - 2

now we can replace the E in the second equation with the right part in the first equation:

4*B + 3 = 5*B - 2

3 + 2  = 5*B - 4*B

5 = B

So we have 5 benches, and:

E = 4*5 + 3 = 23 students.

5 0
2 years ago
7/9 - 13 /18 this is my question
nikdorinn [45]

Answer:

1/18

Step-by-step explanation:

Step 1:

14/18 - 13/18

Answer:

1/18

Hope This Helps :)

3 0
2 years ago
Pls need help fast ._.
yuradex [85]

Answer:

65.75% change

Step-by-step explanation:

Equation for percent change

(|x2-x1| / x1) * 100%

48 million / 73 million * 100% = 65.75% decrease

4 0
3 years ago
Read 2 more answers
During a sale , a shop allows 20%
Dafna1 [17]

Answer:

$24

Step-by-step explanation:

original price of a dress = $30

discount = 20%

discount amount = discount% of original price

=20/100 * 30

=30/5

=$6

price that consumer will pay after discount = $30 - $6

=$24

6 0
3 years ago
Read 2 more answers
Other questions:
  • How do you find the missing length indicated
    11·1 answer
  • PLEASE HELP ASAPPPPPPPPPP
    12·1 answer
  • What is the simplified expression for –2a2b + a2 – 5ab + 3ab2 – b2 + 2(a2b + 2ab)?
    12·1 answer
  • Winston would like to buy a chalkboard with the original price of $80 which coupon should he use 50% off any chalkboard or a cou
    8·2 answers
  • Check each relation below that is a direct variation.
    12·1 answer
  • What is the y-intercept of the function, represented by the table of values
    7·1 answer
  • 2xsquare-6x+3=0 by completing the square method ???
    9·1 answer
  • Kara fence needs to reach at least 94 feet. How many fence post will she need ?
    15·1 answer
  • I need help with number 20 please ​
    15·2 answers
  • 1
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!