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Elena-2011 [213]
2 years ago
14

A farmer sells eggs in containers holding a dozen eggs. If he has 2178 eggs, how many containers will be filled completely? How

many eggs will be left over?
Mathematics
1 answer:
BARSIC [14]2 years ago
3 0

Answer:

~181 containers filled completely, 6 eggs left over

Step-by-step explanation:

2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers

181 × 12 = 2,172 eggs

2,178 eggs - 2,172 = 6 eggs left over

You might be interested in
A square has side length of 8 in. If the area is multiplied by 36, what happens to the side length? HELP PLEASE!!
GaryK [48]

Answer:

The side length is multiplied by 6.

Step-by-step explanation:

The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.

If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.

√2304 = 48

The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.

6 0
2 years ago
kim can mow the greens at the golf course twice as fast as shayla can. Working together, they can mow the greens in 4 hours. How
anyanavicka [17]

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.

8 0
2 years ago
Somebody please help so I can pass, please
ASHA 777 [7]
First, we are going to find the vertex of our quadratic. Remember that to find the vertex (h,k) of a quadratic equation of the form y=a x^{2} +bx+c, we use the vertex formula h= \frac{-b}{2a}, and then, we evaluate our equation at h to find k.

We now from our quadratic that a=2 and b=-32, so lets use our formula:
h= \frac{-b}{2a}
h= \frac{-(-32)}{2(2)}
h= \frac{32}{4}
h=8
Now we can evaluate our quadratic at 8 to find k:
k=2(8)^2-32(8)+56
k=2(64)-256+56
k=128-200
k=-72
So the vertex of our function is (8,-72)

Next, we are going to use the vertex to rewrite our quadratic equation:
y=a(x-h)^2+k
y=2(x-8)^2+(-72)
y=2(x-8)^2-72
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.

We can conclude that:
The rewritten equation is y=2(x-8)^2-72
The x-coordinate of the minimum is 8

8 0
3 years ago
Read 2 more answers
A coffee mug is 16 fl oz. How many qts are needed to fill 26 mugs
MrMuchimi


1 quart = 32 ounces



She will need 13 quarts <span>of coffee.</span>
3 0
3 years ago
3x^2-12+(x-4)(2-x)-(x^2-4x+4)
bogdanovich [222]

Answer:

x² + 10x - 24

Step-by-step explanation:

3x² - 12 + (x - 4)(2 - x) - (x² - 4x + 4)

= 3x² - 12 + (2x - x² - 8 + 4x) - x² + 4x - 4

= 3x² - 12 + 2x - x² - 8 + 4x - x² + 4x - 4

= x² + 10x - 24

4 0
3 years ago
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