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Inessa [10]
4 years ago
12

Joseph completed the two-way table on the left about the social networking habits of his classmates as follows:

Mathematics
2 answers:
defon4 years ago
4 0

Joseph made <em>no error.</em>

The answer is F) no error

MAVERICK [17]4 years ago
4 0

Answer:

Option: F is the correct answer.

F) No error.

Step-by-step explanation:

We are given the steps that Joseph used while solving as:

Step 1: 85 – 30 = 55

Step 2: 80 – 55 = 25

Step 3: 140 – 80 = 60

Step 4: 60 – 30 = 30

Step 5: 25 + 30 = 55

Clearly the steps involves simple addition as well as subtraction of the mathematical numbers.

Hence all his steps are correct as he has not committed any wrong operation.He evaluated the expressions in the right manner.

          Hence, the answer is:

                    Option: F

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

5 0
3 years ago
The question is in the picture. The answer is 14 but I don't know how to get that.
andrezito [222]
Let's convert the problem into Arithmetic progression:
It would be: 5, 9, 13, .... 

Here, a = 5, d = 9 - 5 = 4
We know, S(n) = n/2 [ 2a + (n-1)d ]

Substitute the known values, 
434 = n/2 [ 2(5) + (n - 1)4 ]
434 * 2 = n [ 10 + 4n - 4 ]
868 = 10n + 4n² - 4n
= 4n² + 6n - 868 = 0

d = b² - 4ac
d = 6² - 4(4)(-868)
d = 36+13888
d = 13924

Now, roots = -b +- √d / 2a
= (-6 + √13924) / 2(4)   OR  (-6 - √13924) / 2(4)
= (-6 + 118) / 8   OR  (-6 - 118) / 8
= 112/8  OR  -124/8
= 14 OR -15.5

As number of sticks can't be in negative/decimal or fraction form, -15.5 would be fully rejected.

In short, Your Answer would be 14 [ Remaining root ]

Hope this helps!
7 0
3 years ago
Read 2 more answers
Which of these points lies on the line discribed by the equation below? y-4= -2(x-6)
Basile [38]

Answer:

C, (6,4)

Step-by-step explanation:

The points (x,y) that lie on the line must fit into the equation correctly. So, we can test out the 4 options to see whether they fit correctly into the equation.

A:

y-4

= -4 -4 = -8

-2(x-6)

= -2 (-6-6)

= 24

Since -8≠24, so A is incorrect.

B:

y -4 = -6-4 = -10

-2(x-6) = -2 (-4-6) = 20

-10≠20, so B is incorrect.

C:

y-4 = 4 -4 = 0

-2(x-6) = -2(6-6) = 0

Both sides are equal. C is correct.

But lets test D out too.

y-4 = 6-4 = 2

-2(x-6) = -2(4-6) = 4

2≠4, so D is incorrect.

6 0
3 years ago
Running track a kilometre what is four times 1/3
antiseptic1488 [7]
4* \frac{1}{3} =  \frac{4}{3}
3 0
3 years ago
Read 2 more answers
Over which of the following approximate intervals is the water level decreasing <br> pls help !
Tomtit [17]

Answer:

B and C

Step-by-step explanation:

It is going down

3 0
3 years ago
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