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lesya [120]
3 years ago
13

What is the solution set for the inequality below -3x + 15 < 18

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Answer:

x > -1

Step-by-step explanation:

-3x + 15 < 18

Subtract 15 from each side

-3x + 15-15 < 18-15

-3x < 3

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 3/-3

x > -1

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How do the lengths of line segments define the golden ratio?
NISA [10]

Answer:

\frac{a+b}{a}=\frac{a}{b}

Step-by-step explanation:

The golden ratio is a special number favored by the Greeks. Its ratio roughly equals 1.618. The ratio is formed by taking a line segment and dividing it into two parts labeled a and b. The golden ratio is formed when this proportion is true \frac{a+b}{a}=\frac{a}{b}.

When you add a and b then divide by a, it will be the same as a divided by b. This will hold true only for specific lengths of a and b. This means you must divide the line segment in such a way that a and b meet this requirement.

Example:

If the line segment is 50 cm long. Split the segment into parts a and b where a = 30.9 and b = 19.1. Substitute the values into the proportion \frac{a+b}{a}=\frac{a}{b}.

\frac{30.9+19.1}{30.9}=\frac{30.9}{19.1}

\frac{50}{30.9}=\frac{30.9}{19.1}

1.618 = 1.618

This is the golden ratio.

5 0
4 years ago
Select the correct choices to complete the sentence. Three drivers competed in the same fifteen drag races. The mean and standar
sweet [91]

Answer:

<h2> Driver B has the fastest race time</h2>

Step-by-step explanation:

From the options presented, driver B has the fastest typical race time because he recorded the smallest time taken to complete an individual race.

Also from the standard deviation given (3.96) for driver B, it shows that the individual time spread from the standard deviation is minimal and that the driver maintained a fairly consistent time of race throughout the racing period.

4 0
4 years ago
Marcy is planting a rectangular garden. The garden has an area of 599.5 square feet. If the garden is 22 feet wide, how long is
lapo4ka [179]
27.25 feet it the length.
6 0
4 years ago
The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo: A graph is shown. The x-axis is labele
denpristay [2]
(0,0),(1,3)
slope = (3 - 0) / (1 - 0) = 3/1 = 3

y = mx + b
slope(m) = 3
y int (b).....this is when x = 0...u have point (0,0)...this means ur y int is 0
now sub
y = 3x + 0 which can be written as y = 3x <===
7 0
3 years ago
Read 2 more answers
What is the ratio for 3 feet to 42 inches in simplest form
Natali [406]

Answer:

3:3.5

Step-by-step explanation:

3 feet :42 inches

42 inches=3.5 feet

3 feet:3.5 feet

5 0
4 years ago
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