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3 years ago

A bag contains 5 black, 3 green, 3 blue, and 4 yellow marbles. A marble is randomly drawn. Find P(not black). 4/15 1/5 1/3 2/3

Mathematics

1 answer:

QveST [7]3 years ago

6 0

Answer:

2/3

Step-by-step explanation:

5 black

3 green (not black)

3 blue (not black)

4 yellow (not black)

there are 5 black and 10 not black out of a total of 15 marbles.

there are 10/15 that are not black. Reduced 2/3.

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Romashka-Z-Leto [24]

Answer:

400 miles

Step-by-step explanation:

150 miles/3 hours=50 miles per hour

50 miles per hour x 8 hours=400 miles

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2 years ago

What is the slope of the line y= 7x - 8?

weqwewe [10]

$y=mx+b\\\\slope\ is\ m\\\\\\y=7x-8\\\\slope\ i\n\ m=7$

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3 years ago

How do u write 0.65 in a mixed numbwr

olga nikolaevna [1]

<span>65/100 or 13/20. I hope this helped you, have a great day!</span>

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3 years ago

Maja manages a community garden which has rectangular garden plots that are 15 ft by 10 ft. She wants to add a uniform path arou

tiny-mole [99]

The path should be 6.38 feet wide

Let x be the width of the path.

Since the rectangular plot has an area with dimensions 15 ft by 10 ft, we add x to each dimension to give the dimensions of the rectangular plot plus uniform path.

So, the dimensions are 15 + x by 10 + x respectively.

So, the area of the rectangular plot plus uniform path is A

A = (15 + x)(10 + x)

Since the combined area of the path is 350 square feet, A = 350 ft²

So, (15 + x)(10 + x) = 350

Expanding the brackets, we have

150 + 15x + 10x + x² = 350

x² + 25x + 150 = 350

x² + 25x + 150 - 350 = 0

x² + 25x - 200 = 0

Using the quadratic formula, we find x, the width of the path

So,

$x = \frac{-25 +/-\sqrt{25^{2} - 4X1 X (-200)} }{2 X1 } \\x = \frac{-25 +/-\sqrt{625 + 800)} }{2}\\x = \frac{-25 +/-\sqrt{1425} }{2}\\x = \frac{-25 +/-37.75 }{2}\\x = \frac{-25 + 37.75 }{2} or x = \frac{-25 - 37.75 }{2}\\x = \frac{12.75 }{2} or x = \frac{-62.75 }{2}\\x = 6.375 or x = -31.375$

Since x cannot be negative, we choose the positive answer.

x = 6.375 ft

x ≅ 6.38 ft

So, the path should be 6.38 feet wide

Learn more about width of a path here:

brainly.com/question/15382035

5 0

2 years ago

6 of 6

SashulF [63]

Answer:

3.2 km/h

Step-by-step explanation:

1. Approach

The average speed is the rate at which one travels. It can be found by diving the total distance traveled over the total time it took to cover that distance. In essence, the following formula can be used to find the average speed:

$\frac{total\ distance}{total\ time}=average\ speed$

In this situation, one is asked to find the difference between two people's average speed. One is given the following information:

Lena: 24 miles 1.5 hours

Ras: 36km 1 hour 15 minutes

First, convert all of the numbers into the correct units (km) and (hours). Then find the average speed for each person. Finally, subtract the smaller speed from the larger speed to find the difference in the average speeds.

1. Find Lena's average speed

The problem asks one to find the average speed in the units (km/h). However, the distance Lena covered is given in (miles). Therefore, one has to multiply it by the conversion factor (1.6) in order to convert it from (miles) to (km).

24miles * 1.6 = 38.4

Now find the average speed by using the formula:

$\frac{total\ distance}{total\ time}=average\ speed$

Substitute,

$\frac{38.4}{1.5}\\\\=25.6$

2. Find Ras's average speed

Use a similar approach to work out Ras's average speed, as was used to find Lena's average speed. Since Ras's time spent is given in both hours and minutes, one must convert it to just minutes. There are (60) minutes in an hour, thus, one can rewrite the number as the following:

$1\ hour \ \ 15\ minutes= 1 \frac{15}{60}\ hours = \frac{75}{60}\ hours$

Now find the average speed:

$\frac{total\ distance}{total\ time}=average\ speed$

Substitute,

$\frac{36}{\frac{75}{60}}\\\\=28.8$

3. Find the difference between the speeds

Since Ras's speed is greater, subtract Lena's speed from Ras's speed.

Ras - Lena

= 28.8 - 25.6

= 3.2

6 0

2 years ago