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Afina-wow [57]
2 years ago
10

Lucas had a mix of red and purple jelly beans. There were 2 red jelly beans for every 3 purple jelly beans. If there are 40 jell

y beans in his bag, how many are purple?
Mathematics
1 answer:
Alex73 [517]2 years ago
7 0

Answer:

24 purple jelly beans

Step-by-step explanation:

We are told in the question that;

Lucas had a mix of red and purple jelly beans. There were 2 red jelly beans for every 3 purple jelly beans.

The results in a ratio

2:3

Where 2 represented red jelly beans

3 represented purple jelly beans

Total number of jelly beans = 40 jelly beans.

The number of purple jelly beans that we have =

3/( 2 + 3) × 40

= 3/5 × 40

= 3 × 8

= 24.

Hence, there are 24 purple jelly beans in the bag.

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According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
HACTEHA [7]

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

3 0
3 years ago
In an endurance race, Rachel ran
Reil [10]

Answer:

31\frac{1}{5}\ miles

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

we have

speed=9\frac{3}{5}\ \frac{miles}{hour}

time=3\frac{1}{4}\ hours

distance=(9\frac{3}{5})(3\frac{1}{4})

Convert mixed number to an improper fraction

9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}

3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}

substitute

distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles

Convert to mixed number

31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles

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Answer:

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Step-by-step explanation:

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3 years ago
Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last mon
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Step-by-step explanation:

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