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trapecia [35]
2 years ago
8

Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b? The equation ax =

bx + 1 is the same as x = 1/(a - b) when solved for x. This means that x is equal to the reciprocal of the difference of a and b. Sample Response: The equation ax = bx + 1 is the same as x = 1/(a - b) when solved for x. This means that x is equal to the reciprocal of the difference of a and b. What did you include in your response? Check all that apply. x = x equals StartFraction 1 Over a minus b EndFraction. x is the reciprocal of the difference of a and b. x is 1 over the difference of a and b. x is the quotient of 1 and the difference of a and b.
Mathematics
1 answer:
butalik [34]2 years ago
4 0

Answer:Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b

Step-by-step explanation:

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Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
lutik1710 [3]
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5

Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
4 0
2 years ago
Read 2 more answers
A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number
serg [7]

Answer:

The probability distribution is

X    :        0              1                 2

f(X) :       2/7          4/7               1/7

Step-by-step explanation:

Let x is the number of defective sets purchased by the hotel.

Total number of television sets = 7

Total number of defective television sets = 2

Since there are 2 defective television sets and hotel purchase 3 sets, So, X=0,1,2.

If X=0,

P(X=0)=\frac{^5C_3}{^7C_3}=\frac{10}{35}=\frac{2}{7}

If X=1,

P(X=1)=\frac{^5C_2\cdot ^2C_1}{^7C_3}=\frac{10\cdot 2}{35}=\frac{4}{7}

If X=2,

P(X=2)=\frac{^5C_1\cdot ^2C_2}{^7C_3}=\frac{5\cdot 1}{35}=\frac{1}{7}

The probability distribution is

X    :        0              1                 2

f(X) :       2/7          4/7               1/7

The probability histogram is shown below.

3 0
2 years ago
Suppose you know the minimum, lower quartile, median, upper quartile, and maximum values for a set of data. Explain how to creat
Irina18 [472]
First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.

Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.
3 0
2 years ago
Read 2 more answers
9. The average diameter of an atom is 2 x 10-8 m. What if the average diameter of an atom was 1 cm? How tall would you be?
ozzi

Answer:

You'd be 2 * 10^{-6} times tall

Step-by-step explanation:

Given

Represent the previous and new diameter by D1 and D2;

D_1 = 2 * 10^{-8}m

D_2 = 1\ cm

To determine how tall you'd be, we need to divide D2 by D1;

Ratio = \frac{D_2}{D_1}

Substitute values for D2 and D1

Ratio = \frac{2 * 10^{-8}m}{1\ cm}

Convert cm to m

Ratio = \frac{2 * 10^{-8}m}{1 * 0.01\ m}

Ratio = \frac{2 * 10^{-8}m}{0.01\ m}

Convert denominator to exponents

Ratio = \frac{2 * 10^{-8}m}{10^{-2}\ m}

Ratio = \frac{2 * 10^{-8}}{10^{-2}}

Apply Law of indices

Ratio = 2 * 10^{-8} * 10^2

Ratio = 2 * 10^{-8+2}

Ratio = 2 * 10^{-6}

Hence;

<em>You'd be </em>2 * 10^{-6}<em> times tall</em>

4 0
2 years ago
A customer wants you to enlarge a photo to 2 /34 its current height. The photo’s current height is 3 1/4 inches. What should its
alex41 [277]

Answer:

8 15/16 inches

Step-by-step explanation:

just multiply 2 3/4 by 3 1/4

5 0
2 years ago
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