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Fantom [35]
3 years ago
11

Natalia is moving into a new house. All together, her furniture weighs 3,204 pounds. If it takes 8 trucks to carry all of Natali

a's furniture, what is the average weight load on each truck? A. 640.8 pounds per truck B. 801 pounds per truck C. 1,602 pounds per truck D. 400.5 pounds per truck
Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

D

Step-by-step explanation:

The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer

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How do you solve 5+4(x+9)=-3
dlinn [17]
Final answer: x=-11
1. distribute 4(x+9)
5+4x+36=-3
2. combine like terms
4x + 41 = -3
3. subtract 41 from each side
4x = -44
4. divide 4 from each side
x=-11
6 0
3 years ago
Read 2 more answers
A circle has a circumference of 12. It has an arc of length 11.
riadik2000 [5.3K]

Answer:

The central angle is 330 degrees

Step-by-step explanation:

The arc length is equal to the circumference time the fractional part of the circle

arc length = circumference * x/360

11 = 12 * x/360

Divide each side by 12

11/12 = 12/12 *x/360

11/12 = x/360

Multiply by 360

11*360/12 = x /360 *360

330 = x

The central angle is 330 degrees

7 0
3 years ago
What is the equation of the quadratic graph with a focus of (4,3) and a directrix of y=-6
Rufina [12.5K]

Answer:

f(x) = (1/18)x^2 - (4/9)x - 65/18

Step-by-step explanation:

Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact:  y = -3/2.  Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5.  The x-coordinate of the vertex is 4, which comes from that 4 in (4,3).  Thus, the vertex is (4, -4.5) or (4, -4 1/2).

The standard equation for a vertical parabola with vertex at (h,k) is:

4p(y-k) = (x-h)^2, where p is the distance between vertex and focus or between vertex and directrix.  In this case p = 4.5.  Thus, the equation of this quadratic is 4(4.5)(y - [-4.5]) = (x - 4)^2, or

18(y+4.5) = (x-4)^2, or y+4.5 = (1/18)(x-4)^2.

Let's expand this and rewrite the result as a quadratic equation in standard form y = ax^2 + bx + c:

y + 4.5 = (1/18)(x^2 - 8x + 16).  Multiplying all terms by 18 to remove both fractions, we get:

18y + 81 = x^2 - 8x + 16.  Rearranging these terms, we get:

18y = x^2 - 8x + 16 - 81, or

18y = x^2 - 8x - 65, or

y = f(x) = (1/18)x^2 - (4/9)x - 65/18.

5 0
3 years ago
Read 2 more answers
Order: give Ceclor (cefaclor) 250 mg PO every 8 hours.
irinina [24]

Hello!

The answer is: 15 mL

Why?

From the statement we have that 250 mg need to be given every 8 hours, we can calculate how many mg will be given each day (24 hours):

\frac{24Hours}{8Hours} = 3

So,

3*250mg=750mg a day

We also know that there are 50 mg cefaclor every 1mL,

So, to know how many mL will be given with 750mg, we just need to divide it by 50

\frac{750}{50} = 15

Therefore,

15mL or 750 mg of cefaclor will be given each day.

Have a nice day!

8 0
3 years ago
A recipe calls for 9 1/2 cups of flour to make a batch of cookies. How many batches of cookies can be made if you have 38 cups o
Fiesta28 [93]
Answer : 4

Explanation:

9 1/2 cups of flour makes 1 batch of cookies so make that into a decimal: 9.5

and take 38 divided by 9.5 and you get your answer.
8 0
3 years ago
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