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morpeh [17]
2 years ago
9

After doing some work in the house, Bob and Carol want to put a concrete patio on the side of the house to keep people from trac

king mud inside. The dimensions of the rectangular patio are 23 feet 9 inches by 10 feet 1 inch. The patio will need to be at least 4 inches deep.
A.Calculate the volume of concrete needed, in cubic feet, rounding up to the nearest cubic foot.

B. The delivered cost of the concrete is "$6 per cubic foot plus a $50 surcharge for orders less than 100 cubic feet." Find the total cost having the concrete delivered.
Mathematics
1 answer:
makkiz [27]2 years ago
4 0

A: 80 ft^3
to make math easier, I'm translating the extra inches into a decimal so it's a solid number to represent feet. 9 inches is 0.750, and 1 inch is 0.0833 of a foot.
23.750 x 10.0833 = 239.478375, rounding up to 240 feet^2
multiply this by 0.333 to get the volume needed for the patio, 80 ft^3

(79.92 rounded up to the nearest whole)

B: $530
Multiply the volume of concrete needed by the price per cubic foot.
80 x 6 = $480, and since the volume is less then the limit to surpass the initial cost we add $50 to our total cost, making it $530

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The tempeture of chicken soup is 192.7 degrees F. As it cools the tempeture of the soup decreases 2.3F per minute.
IrinaK [193]

Answer:

Step-by-step explanation:

To find the answer to Part A, we can turn this into a simple equation:

192.7 - (2.3 times 25) = <em>temperature, </em>the missing value.

So therefore, after 25 minutes pass, the temperature is equal to

192.7 - 57.5, or:

135.2 = Answer to Part A.

Now, onto Part B. We can use <u>another</u> equation!

192.7 - 2.3x = 100.7

Now, we must solve the given equation, first by taking 100.7 from each side:

192.7 - 2.3x = 100.7

-100.7             -100.7

We are now left with: 92 - 2.3x = 0 - we must now add 2.3x to 2.3x and 0, giving us this:

92 = 2.3x, which is equivalent to 920 = 23x, if that is what you prefer to solve.

To give us our missing value (x), we can divide 920 by 23, giving us: x = 40. This is the answer to Part B: 40 minutes.

I hope this was really helpful! Tell me if you need any more help.

6 0
2 years ago
Need help plzzzz will medal and fan
andriy [413]
The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3

Let's check all functions.
1. The function f(x)=x²<span>+2x when evaluated with 3 gives you the value of 3:
  Evaluated with x means that</span> x = 3.
   f(3) = 3² + 2 * 3 = 9 + 6 = 15 
   15 ≠ 3, so, this is not correct.

2. f(x)=x²<span>-3x when evaulated with -3 give you the value of 3
    Evaluated with -3 means that x = -3.
    (f-3) = (-3)</span>² - 3 * (-3) = 9 + 9 = 18 
    18 ≠ 3, so, this is not correct.

3. f(x)=x²<span>+2x when evaluated with -3 gives you the value of 3
</span>    Evaluated with -3 means that x = -3.
    f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
    3 = 3, so this is correct.

4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
    Evaluated with 3 means that x = 3.
    f(3) = (3)² - 3 * 3 = 9 - 9 = 0
    0 ≠ 3, so this is not correct.
6 0
3 years ago
Read 2 more answers
The sum of the roots of 3x 2 + 11x - 4 = 0 is<br><br> -11/3<br> -4/3<br> 11/3<br> 4/3
givi [52]

Answer:

The correct option is 1.

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0             .... (1)

Then the sum of the roots is -b/a and the product of roots is c/a.

The given equation is

3x^2+11x-4=0          ... (2)

From (1) and (2) we get a=3, b=11 and c=-4.

The sum of roots is

\frac{-b}{a}=-\frac{11}{3}

The sum of roots is -\frac{11}{3}.

Therefore the correct option is 1.

5 0
3 years ago
What letter on this number line represents -(3/2)?
Rina8888 [55]

Answer:

B

Step-by-step explanation:

- 3/2 is - 1.5 , and B is - 1.5

6 0
2 years ago
The question is in the picture ​
Lera25 [3.4K]
USE SOCRACTIC IT WOULD REALLY HELP WITH THIS QUESTION
8 0
3 years ago
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