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3 years ago

The local newspaper has letters to the editor from 60 people. If this number represents 5% of all of

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

8 0

Answer:

i believe the answer is 1200

Step-by-step explanation:

if you set up a proportion

60 over x equal to 5 over 100 and solve

you get the answer 1200.

uysha [10]3 years ago

7 0

The newspaper has 1200 readers because if 60 people is only 5%

if you divide 95 by 5 it is 19. 19 times 60 equals 1140. 1140 plus 60 equals 1200. 5% of 1200 is 60.

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An item is on sale for $56. If this price represents a 25% discount from the original price, what is the original price?

blondinia [14]

9514 1404 393

Answer:

$74.67

Step-by-step explanation:

Let p represent the original price. Then the relation is ...

$56 = p - 0.25×p

$56 = 0.75p

$56/0.75 = p ≈ $74.67

The original price was $74.67.

5 0

3 years ago

What's the area of this rectangle?

Bess [88]

well, the assumption is that is a rectangle, namely it has two equal pairs, so we can just find the length of one of the pairs to get the dimensions.

hmmmm let's say let's get the length of the segment at (-1,-3), (1,3) for its length

and

the length of the segment at (-1, -3), (-4, -2) for its width

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{length}{L}=\sqrt{[1-(-1)]^2+[3-(-3)]^2}\implies L=\sqrt{(1+1)^2+(3+3)^2} \\\\\\ L=\sqrt{4+36}\implies L=\sqrt{40} \\\\[-0.35em] ~\dotfill$

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{width}{w}=\sqrt{[-4-(-1)]^2+[-2-(-3)]^2}\implies w=\sqrt{(-4+1)^2+(-2+3)^2} \\\\\\ w=\sqrt{9+1}\implies w=\sqrt{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{A=Lw}\implies \sqrt{40}\cdot \sqrt{10}\implies \sqrt{400}\implies \boxed{20}$

7 0

3 years ago

The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents

kvv77 [185]

Answer: $\pi =\frac{47.1}{15}$

Step-by-step explanation:

The complete exercise is: "The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? "

In order to solve this exercise, it is important to remember that the circle can be calculated with the following formulas:

1. $C=\pi D$

Where "C" is the circumference of the circle and "D" is the diameter of the circle.

2. $C=2\pi r$

Where "C" is the circumference of the circle and "r" is the radius of the circle (Remeber that the diameter is twice the radius).

In this case, the exercise gives you the circumference of the circle and its diameter. These are:

$C=47.1\\\\d=15$

Then, knowing those values, you can substitute them s into the first equation $C=\pi D$ , as following:

$47.1=\pi (15)$

The final step is to solve for $\pi$ :

$\pi =\frac{47.1}{15}$

8 0

3 years ago

Mr. Heath organizes a six-game tournament where players will

EleoNora [17]

9514 1404 393

Answer:

(W, T, L, S) = (3, 2, 1, 4.1)

Step-by-step explanation:

For some number of wins (W), ties (T), and losses (L), the player's score will be ...

score = 2.2W +0.25T -3L

For 3 wins, 2 ties, and 1 loss, the player's score is ...

2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1

4 0

3 years ago

Which statement is true about the domain of y = 3(2^-x)? Explain.

SVEN [57.7K]

We want to determine the domain of ${y=3 \cdot 2^{-x}=3 \cdot ({2^{-1}})^x=3 \cdot ({ \frac{1}{2}})^x$

any function of the form $y=f(x)=a \cdot b^x$ is called an "exponential function",
the only condition is that b is positive and different from 1, and a is a nonzero real number.

The domain of such functions is all real numbers.

That is for any x, the expression 3(2^-x) "makes sense".

Answer: The domain is all real numbers

8 0

3 years ago