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
tiny-mole [99]
2 years ago
15

A building contractor is to dig a foundation 45 feet long, 16 feet wide and 6 feet deep. The contractor pays 13 dollars per load

for trucks to remove the dirt. Each truckload holds 4 cubic yards. How many cubic yards must be hauled away?

Mathematics
1 answer:
9966 [12]2 years ago
3 0

9514 1404 393

Answer:

  • 160 yd³ must be hauled
  • $520 is the cost

Step-by-step explanation:

There are 3 feet in a yard, so the volume of the hole is ...

  (45 ft)/(3 ft/yd) × (16 ft)/(3 ft/yd) × (6 ft)/(3 ft/yd)

  = (15 × 16/3 × 2) yd³ = 160 yd³ . . . volume to be hauled

__

The cost is $13/(4 yd³), so the total cost will be ...

  ($13/(4 yd³)) × 160 yd³ = $520 . . . cost of hauling

You might be interested in
Demarcus and his brother are saving up some money to take a trip together. to open a joint savings account, demarcus deposited a
Anastaziya [24]

a. Demarcus' method is (d + d + 7) = 111/3

b. His brother's method is 3d + 3d + 3 × 7 = 111

c. The banker's method is 3(2d + 7) = 111

<h3>How to complete each person's method</h3>

Each pperson's method is the solution to a linear equation

<h3>What is a linear equation?</h3>

A linear equation is an equation in which the highest power of the unknown is 1.

<h3>a. How to complete Demarcus' method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and demarcus was solving the equation and his first step was to divide both sides by 3, we have that

3(d + d + 7) = 111

(d + d + 7) = 111/3

d + d + 7 = 37

2d + 7 = 37

2d = 37 - 7

2d = 30

d = 30/2

d = 15

So, Demarcus' method is (d + d + 7) = 111/3

<h3>b. How to complete his brother's method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and his brother started solving the equation by using the distributive property,we have that

3(d + d + 7) = 111

3d + 3d + 3 × 7 = 111

3d + 3d + 21 = 111

6d + 21 = 111

6d = 111 - 21

6d = 90

d = 90/6

d = 15

So, his brother's method is 3d + 3d + 3 × 7 = 111

<h3>c. How to complete the banker's method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and their banker started solving the equation by combining like terms, we have that

3(d + d + 7) = 111

3(2d + 7) = 111

6d + 21 = 111

6d = 111 - 21

6d = 90

d = 90/6

d = 15

So, the banker's method is 3(2d + 7) = 111

Learn more about linear equation here:

brainly.com/question/26260688

#SPJ1

6 0
1 year ago
U need question problem 2 to solve problem 3
Sergio [31]

Answer:

You are correct

Step-by-step explanation:

Start with 1 1/2. This can be made into an improper fraction which is 3/2

Now multiply both top and bottom of 3/2 by 5

(3*5)/(2 * 5) = 15 / 10

16/10 is just slightly bigger than 15/10

3 0
3 years ago
Read 2 more answers
If you add two negative integers, what will the sign on the sum be? Explain.
KengaRu [80]

Answer:

Negative

Step-by-step explanation:

If both are negative, they can't grow when you add them. If I owe someone 3 dollars, then I owe them 3 more, I don't owe them 0, I owe them 6. The equation would be My amount of money-3-3

4 0
3 years ago
The width of a rectangular poster is 16 in its length is twice its width find the perimeter
Evgesh-ka [11]
Length = x
width = y

y = 16
x = 2y
x = 2(16)
x = 32

perimeter = 2x + 2y
= 2(32) + 2(16)
= 64 + 32
= 96
6 0
3 years ago
How do i put this into words please help
Serjik [45]
Hello,

This is simple :)

<span>First divide:

How many times does 16 go into 7? : 0

7 GOES into 16, 0 times, now we have ; 0.

Next, multiply 16(0):0

Now, subtract 7-0

=7

Bring 0 down... so now we have 70... how many times can you divide 16 into 70? : about 4 times.

Now we have: 0.4

Multiple 16 by 4

= 64 : SUBTRACT 64 from 70

=60

Bring Down: 0; this gives us 60.

Divide:

How many times can 16 go into 60? : About 7 times

No we have : 0.437..

Bring down 0; gives us 600: how many times can 16 go into 600?: About 5 times.

Now, we have 0.4375.


Thus, 7/16 = 0.4375.


Faith xoxo

</span>

5 0
3 years ago
Read 2 more answers
Other questions:
  • Question 3 (Multiple Choice Worth 1 points)
    9·1 answer
  • You guys I need help on this.
    13·1 answer
  • Alfred made 21 goals in 3.5 minutes. What is alfreds unit rate?
    7·1 answer
  • What is the side length , in inches, of the pet shop sign ?
    5·2 answers
  • Complete the work shown to answer the question.
    12·1 answer
  • What does it mean to be a Rigid Motion?<br> Name 3 Rigid Motions that we discussed in Semester A:​
    9·1 answer
  • Solve problems <br>5 1/2×3 1/3​
    8·1 answer
  • Slope= 2; (14, 33)<br><br> Equation:______
    11·1 answer
  • Match the following:
    7·2 answers
  • Given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 8x 16 (k ∘ p)(x) = 2x2 − 16x 32 (k ∘ p)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!