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
Sergeu [11.5K]
2 years ago
13

A new sidewalk will be 5 feet​ wide, 100 feet​ long, and filled to a depth of 3 inches ​(0.25 ​foot) with concrete. How many cub

ic yards of concrete are​ needed?
Mathematics
1 answer:
GarryVolchara [31]2 years ago
4 0

Answer:

4.63 cubic yard.

Step-by-step explanation:

Given,

The length of sidewalk, l = 100 feet,

Width, w = 5 feet,

Depth, h = 3 inches = 0.25 feet,

Thus, the volume of the concrete needed for making the sidewalk,

V=l\times w\times h

=100\times 5\times 0.25

= 125 cubic feet,

∵ 1 cubic yard = 27 cubic feet,

⇒ 1 cubic feet = \frac{1}{27} cubic yard,

Thus, the quantity of concrete needed = \frac{125}{27} ≈ 4.63 cubic yard.

You might be interested in
What is the square root of y^3
tia_tia [17]

Answer:

y^{\frac{3}{2}

Step-by-step explanation:

Let m=\sqrt{y^3}

m=(y^3)^{\frac{1}{2}}\\\\m=y^{3\times \frac{1}{2}}\ \ \ \ \ \ \ \ \ [as\ (x^a)^b=x^{ab}]\\\\m=y^{\frac{3}{2}

7 0
3 years ago
Tyler made a scale drawing of a 24 ft long boat. In his drawing, the boat was 6 inches. The scale that Tyler used for his drawin
defon

Answer:

In Tyler scale, 1 inch equals 4 ft.

Step-by-step explanation:

Giving the following information:

Tyler made a scale drawing of a 24 ft longboat. In his drawing, the boat was 6 inches.

<u>We know that 1 ft is 12 inches. Therefore, 24 ft:</u>

24*12= 288 inches

<u>Now, we have to determine the scale that Tyler used.</u>

<u></u>

1 Tyler inch= 288/6= 48 inches

In ft:

1 Tyler inch= 48/12= 4 ft

In Tyler scale, 1 inch equals 4 ft.

3 0
3 years ago
Find the value of c that completes the square for x2−15x+c
meriva

Answer:

The value of <em>c</em> is \frac{225}{4}.

Step-by-step explanation:

The perfect square of the difference between two numbers is:

(x-y)^{2}=x^{2}-2xy+y^{2}

The expression provided is:

x^{2}-15x+c

The expression is a perfect square of the difference between two numbers.

One of the number is <em>x</em> and the other is √<em>c</em>.

Use the above relation to compute the value of <em>c</em> as follows:

x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}

Thus, the value of <em>c</em> is \frac{225}{4}.

5 0
3 years ago
Which graph shows the solution to the system of linear inequalities?<br> y&lt; 2x-5<br> y&gt;-3x + 1
trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

1. For the inequality y First, plot the dotted line y=2x+5 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

2\cdot 0-5=-5

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality y>-3x+1. First, plot the dotted line y=-3x+1 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

-3\cdot 0+1=1>0

so the origin does not belong to the needed part. Shade the part, which does not include origin.

3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.

5 0
3 years ago
What is the value of x?
Aleks04 [339]
The answer of x is
X=84,8
5 0
2 years ago
Other questions:
  • Help me pls subtract 28.9 -9.25​
    8·2 answers
  • Please help asap 25 pts
    13·2 answers
  • 2. Simplify the following expression.<br> – 2(3x – 5) – 12x - 2
    6·1 answer
  • 3y+6(3y-2) = 2(y-1)-7<br><br> solve for y , reduce answer to integer or fraction.
    10·2 answers
  • Whitch graph shows exponential growth
    7·1 answer
  • Find the value of k of this problem
    10·1 answer
  • Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
    12·1 answer
  • A scale drawn on the map shows that 1 inch represents 40 miles. If tuo cities
    12·1 answer
  • During a game of roulette, a wheel is spun and a ball drops randomly into one of the wheel's
    12·1 answer
  • Angela is planning to cycle 200 km to a hotel for an overnight stay. She cycles at a constant speed of 25km/hr. How long did it
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!