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3 years ago

Complete the statement. 30 out of 65 students in the class are bus riders. In lowest terms,

1 answer:

7 0

Write as a fraction:
30/65

Find the greatest common factor:
5

Divide both sides by 5:
6/13

Final answer 6/13 or six out of thirteen students take the bus.

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fladli sells televisions. He earns a fixed amount for each television and an additional $ 20 if the buyer gets an extended warra

ivanzaharov [21]

Answer: $80

Step-by-step explanation:

Given: The amount earned by Fadil on selling 14 televisions= $1400

Therefore, the amount he earned on selling 1 television= $\frac{1400}{14}=\$100$

Since, he sold televisions with extended warranty and he earns $20 additional for it.

Then, the fixed amount Fadil earns for each television= $\$100-\$20=\$80$

Hence, Fadil earns $80 as the fixed amount for each televison.

4 0

3 years ago

Find the point on the line 5x+7y+1=0 which is closest to the point (−4,3).

Keith_Richards [23]

$5x + 7y + 1 = 0$

4 0

3 years ago

15 Points! Find the range of the functions: f(x) = (x + 1)^2 - 1 f(x) = 7x - 11

MakcuM [25]

In both cases you may well benefit from graphing the functions.

Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).

Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.

Thus the range includes all real numbers: (-infinity, infinity).

4 0

2 years ago

Josue leans a 26-foot ladder against a wall so that it forms an

postnew [5]

Answer:

25.61 feet

Step-by-step explanation:

First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.

Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.

One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have

sin(80°) = opposite / 26 feet

multiply both sides by 26 feet

sin(80°) * 26 feet = opposite

= 25.61 feet as the height of the wall the ladder reaches

6 0

2 years ago

Write the expression as a decimal number.

Nesterboy [21]

The answer would be 66.7

4 0

2 years ago