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3 years ago

7

A bag contains 4 red marbles, 16 yellow marbles, 5 purple, 16 blue marbles, and 10 green marbles. What is the probability of pul

ling out a red or a green marble

1 answer:

Tasya [4]3 years ago

8 0

red or green / total

4 + 10 / 4 +16 +5 +16 +10

14 / 51

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You buy the following materials for the new extension.

Daniel [21]

I assume you mean

2 tonnes of sand at £75.00 per tonne

20 bags of cement at £6.70 per bag

350 bricks at 45p each

If so, then

2 tonnes of sand at £75.00 per tonne = 2 * £75.00 = £150.00

20 bags of cement at £6.70 per bag = 20 * £6.70 = £134.00

350 bricks at 45p each = 350 * £0.45 = £157.50

Add the three amounts

£150.00 + £134.00 + £157.50 = £441.50

Answer: 441.50

7 0

3 years ago

Pythagoras and True Love

Katena32 [7]

Let us find the length of rope Jules will need using the pythagoras theorem .

Width of the moat ( let the moat be the base of this triangle ) = 14 foot

Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet

Then the length of rope needed ( hypotenuse ) =

= Let us name the triangle that is formed as △ ABC . Then ;

In △ ABC :

AB = the width of moat ( leg of triangle ) = 14 foot

BC = The distance from the window to the moat ( base ) = 20 feet

AC = Length of rope needed ( hypotenuse ) =

= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )

= 14² + 20² = AC²

= 196 + 400 = AC²

= 596 = AC²

= 24 × 24 = AC × AC

= 24 foot = AC = length of rope needed by jules .

Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .

6 0

3 years ago

Need help with number 6

12345 [234]

Answer: 172

Explanation:

<u>Mystery</u> <u>Science Fiction</u> <u>Biographies</u>

4x 3x

4y 5y

Science Fiction = 48

3x = 48 ⇒ x = 16

4y = 48 ⇒ y = 12

Mystery: 4x = 4(16) = 64

Biographies: 5y = 5(12) = 60

Mystery + Science Fiction + Biographies = Total

64 + 48 + 60 = Total

172 = Total

5 0

3 years ago

Is 6 right?? Please help

dmitriy555 [2]

Answer:

yes, it should be

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year, write an exponential model for the

elena55 [62]

Answer:

In 2026 car will have a value of $5,000.

Step-by-step explanation:

We have been given that Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year.

Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay or decrease b is in form (1-r), where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

$14\%=\frac{14}{100}=0.14$

Upon substituting a =28,000 and r=0.14 in exponential decay function we will get,

$y=28,000(1-0.14)^x$ , where x represents number of years after 2014.

Therefore, the function $y=28,000(0.86)^x$ represents the value of car x years after 2014.

To find the number of years it will take to car have the value of $5,000, we will substitute y=5,000 in our function.

$5,000=28,000(0.86)^x$

Let us divide both sides of our equation by 28,000.

$\frac{5,000}{28,000}=\frac{28,000(0.86)^x}{28,000}$

$0.1785714285714286=(0.86)^x$

Let us take natural log of both sides of our equation.

$ln(0.1785714285714286)=ln((0.86)^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.1785714285714286)=x*ln(0.86)$

$\frac{ln(0.1785714285714286)}{ln(0.86)}=\frac{x*ln(0.86)}{ln(0.86)}$

$\frac{-1.7227665977411033893}{-0.1508228897345836}=x$

$x=11.422447\approx 12$

As in the 12th year after 2014 car will have a value of $5,000, so we will add 12 to 2014 to find the year.

$2014+12=2026$

Therefore, in 2026 car will have a value of $5,000.

6 0

3 years ago

Read 2 more answers