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a_sh-v [17]
3 years ago
7

The city council voted on a new tax. The council has 20 members and 90% of the council members voted in favor of the new tax. Ho

w many members voted in favor of the tax?
Mathematics
1 answer:
NeX [460]3 years ago
7 0

Answer:

18 members voted in favor of the new tax.

Step-by-step explanation:

Given:

Number of members = 20

Percent of members voted in favor of tax = 90 %.

Therefore, as per question,

Number of members voted in favor of tax = 90\% \textrm{ of }20=\frac{90}{100}\times 20=0.90\times 20 = 18

Hence, 18 members voted in favor of the new tax.

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Step-by-step explanation:

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Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate
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Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality x^{2}-5x+4\leq 0. To do that, factorize, then we have that (x-4)(x-1)\leq 0. This implies that

x-1\leq 0\, \text{and}\, x-4\geq 0

or

x-1 \geq 0\, \text{and}\, x-4\leq 0

In the first case the solution is the empty set \emptyset. In the second case the solution is the interval 1\leq x \leq 4. Now we have that

A=[1,4]

B=(3,5)

C=(3,4].

To show that A\cap B\subseteq C consider x\in A\cap B. Then 1\leq x \leq 4\, \text{and}\, 1, this implies that 3, then x\in C. Now, to show that C\subseteq A\cap B consider x\in C, then 3, then 1\leq x \leq 4\, \text{and}\, 3, then x\in [1,4] \, \text{and}\, x\in (3,5), this implies that x\in A\cap B.

Observe the image below.

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4 years ago
a water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
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Answer:

11 feet

Step-by-step explanation:

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Since the water is being sent out in circular pattern, the maximum distance at which the water is reaching out will be equal to the radius of the circle as the sprinkler is at the center of the circle.

Area of a circle is given as:

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Step-by-step explanation:

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Read 2 more answers
Simplify the polynomial
Naddik [55]
The answer is <span>A –x^2 + 3x + 15
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Rearrange it:
</span>3x² + 6 – 2x + 5x – 4x² + 9
= 3x² - 4x² - 2x + 5x + 6 + 9
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