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3 years ago

A bag contains three green marbles, four blue marbles, and two orange

Mathematics

1 answer:

Fiesta28 [93]3 years ago

5 0

Answer:

7/9

Step-by-step explanation:

There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?

coldgirl [10]

Answer:

Step-by-step explanation:

I will answer based upon the assumption that you meant:

m - (3/4)m - 1/2 = 2 + (1/4)m

Multiplying all 5 terms by 4 will clear this equation of fractions:

4m - 3m - 2 = 8 + m

3 0

3 years ago

Stephanie has an aquarium that is in the shape of a right rectangular prism, 50 centimetres long, 25 centimetres wide and 30 cen

Bess [88]

To solve this, we are going to use the volume formula for a rectangular prism: $V=lwh$
where
$V$ is the volume of the prism
$l$ is the length of the prism
$w$ is the width of the prism
$h$ is the height of the prism

We are also using the volume of a sphere formula: $V= \frac{4}{3} \pi r^{3}$
where
$V$ is the volume of the sphere
$r$ is the radius of the sphere

Part A: Since she <span>wants a layer of marbles in the bottom of the tank about 5 centimeters deep, the height of this little rectangular prism will be 5 centimeters, so </span> $h=5$ . Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(5)$
$V=6250 cm^{3}$
Now that we know that she wants to cover a volume of 6250 $cm^{3}$ with marbles, lets find the volume of each marble.
We know that the diameter of each marble is 1 cm. Since the radius is of a sphere is half its diameter, $r= \frac{1}{2} =0.5$ . Lets replace that value in our volume formula:
$V= \frac{4}{3} \pi r^{3}$
$V= \frac{4}{3} \pi (0.5)^{3}$
$V=0.52 cm^{3}$
Now, let $x$ the number of marbles she will need to cover a volume of 6250 $cm^{3}$ :
$0.52x=6250$
$x= \frac{6250}{0.52}$
$x=12019.23$
Since we know that each bag of marbles has 500 marbles, we are going to divide the number of marbles she will need by the number of marbles in each bag:
$\frac{12019.23}{500} =24.03$

We can conclude that to fill a layer of 5 cm with marbles, she will need 24 bags of marbles.

Part B: We know that she already have 5 cm of her aquarium filled with marbles, and that she also added water <span>until it’s level is 3 centimeters below the top of the tank, so to find the height of this new rectangular prism, we are going to subtract 5 cm plus 3 cm from the original height of her aquarium:
</span> $h=30-(5+8)$
$h=30-13$
$h=17cm$
Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(17)$
$V=21250cm^{3}$
Remember that $1litre=1000cm^{3}$ . So:
$(21250cm^3)( \frac{1litre}{1000cm^{3})} =21.25liters$

We can conclude that there are 21.25 liters of water in the tank.

6 0

3 years ago

Find the highest common factor of 80 and 20

PtichkaEL [24]

Answer:

Step-by-step explanation:

The Greatest Common Factor (GCF) for 20 and 80, notation CGF(20,80), is 20. Explanation: The factors of 20 are 1,2,4,5,10,20; The factors of 80 are 1,2,4,5,8,10,16,20,40,80.

8 0

4 years ago

Read 2 more answers

Order the sides of the triangle from shortest to longest.

Genrish500 [490]

Answers:

Shortest Length = LN
Middle Length = LM
Longest Length = MN

========================================

Explanation:

Let's find the missing angle.

For any triangle, the three interior angles always add to 180

L+M+N = 180

75+50+N = 180

N+125 = 180

N = 180-125

N = 55

So we know the three angles of the triangle are

L = 75
M = 50
N = 55

We see that M = 50 is the smallest angle, so the smallest side is the segment opposite this angle. The smallest side is LN. The smallest side is always opposite the smallest angle.

Similarly, the largest side is always opposite the largest angle. The largest angle here is L = 75, so the largest side is MN.

The middle side must therefore be LM.

The diagram below shows a visual summary.

7 0

3 years ago

Which polynomial identity will prove that 49 − 4 = 45?

nika2105 [10]

Answer:
Option A is correct
Difference of squares identity should be used to prove 49-4 =45
Step-by-step explanation:
Prove that : 49 - 4 = 45
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Difference of the squares identity:

7 0

3 years ago