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IgorC [24]
4 years ago
8

An article reports "attendance dropped 7% this year, to 6854." What was the attendance before the drop? (Round your answer to th

e nearest whole number.)
Mathematics
1 answer:
Masja [62]4 years ago
4 0

Answer:

7370

Step-by-step explanation:

Let x represent attendance before drop.

We have been given that an article reports attendance dropped 7% this year, to 6854. We are asked to find the attendance before the drop.

Since attendance dropped by 7%, this means that attendance after drop was 93% of x.

We can represent this information in an equation as:

x-\frac{7}{100}x=6854

x-0.07x=6854

0.93x=6854

\frac{0.93x}{0.93}=\frac{6854}{0.93}

x=7369.89247

x\approx 7370

Therefore, the attendance before drop was 7370.

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You have one type of nut that sells for $4.50/lb and another type of nut that sells for $8.80/lb. You would like to have 12.9 lb
butalik [34]

Answer:

The quantity of first nut = x = 2.4 lb

The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb

Step-by-step explanation:

Let amount of first type of nut = x

Amount of second type of nut = 12.9 - x

Total Cost of  first type of nut = 4.5 x

Total Cost of second type of nut = 8.8 × (12.9 -  x)

Total cost of both type of nut = 8 × 12.9

Total cost = Cost of first type of nut + Cost of second type of nut

8 × 12.9 = 4.5 x + 8.8 × (12.9 -  x)

103.2 = 4.5 x + 113.52 - 8.8 x

8.8 x - 4.5 x = 10.32

4.3 x = 10.32

x = 2.4

Therefore the quantity of first nut = x = 2.4 lb

The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb

3 0
3 years ago
Solve this: (a^3-2a^2)-(3a^2-4a^3)
Jobisdone [24]
(a^3-2a^2)-(3a^2-4a^3)
(a^3-2a^2)-3a^2+4a^3
5a^3-5a^2
6 0
3 years ago
Help please; I need the right answer ​
Ad libitum [116K]

Answer:

C.

Step-by-step explanation:

\cos x+\sqrt{2}=-\cos x \\ 2\cos x = -\sqrt 2 \\ \cos x = -\dfrac{\sqrt 2}{2}\\ \\ \Rightarrow x = \pm \arccos\Big(-\dfrac{\sqrt 2}{2}\Big)+2k\pi,\quad x\in \mathbb{Z}\\ \Rightarrow x =\pm\dfrac{3\pi}{4}+2k\pi\\ \\ \\k = -1 \Rightarrow x < 0\\\\ k=0 \Rightarrow x 2\pi

3 0
4 years ago
Read 2 more answers
Estimate the difference of 765and 333. Explain your estimate.
Anni [7]

Step 1: Prioblem

Estimate the difference of 765 and 333. Explain your estimate.​

Step 2: Concept and Method

Difference mean to subtract the smaller number from larger number.

Therefore,

\begin{gathered} =\text{  765  -   333} \\ =\text{ 432} \end{gathered}

Step 3: Final answer

= 432

7 0
2 years ago
Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
Setler79 [48]

Answer:

Therefore values of a and b are

a=3\ and\ b = 2

Step-by-step explanation:

Rewrite x^{2}-6x+7=0 in the form

(x-a)^{2}=b

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

x^{2}-6x+7=0 ..............Given

Which can be written as

x^{2}-6x=-7

(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9

Adding half coefficient of X square on both the side we get

x^{2}-6x+9=-7+9=2 ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}

Substituting in equation 1 we get

(x-3)^{2}=2

Which is in the form of

(x-a)^{2}=b

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

a=3\ and\ b = 2

4 0
4 years ago
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