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2 years ago

A hibernating animal lost 5 pounds. Write a signed number to represent this weight change.

Mathematics

1 answer:

vampirchik [111]2 years ago

8 0

Answer:

-2

Step-by-step explanation:

The sign would be negative because the pounds were lost not gained

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Which statements are true about David's work? Check all that apply. The GCF of the coefficients is correct. The GCF of the varia

Anon25 [30]

Answer:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

Step-by-step explanation:

Given the polynomial :

80b⁴ – 32b²c³ + 48b⁴c

The Greatest Common Factor (GCF) of the coefficients:

80, 32, 48

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80

32 : 1, 2, 4, 8, 16, and 32

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

GCF = 16

b⁴, b², b⁴

b⁴ = b * b * b * b

b² = b * b

b⁴ = b * b * b * b

GCF = b*b = b²

GCF of c³ and c

c³ = c * c * c

c = c

GCF = c

We can see that David's GCF of the coefficients are all correct

From the polynomial ; 80b⁴ does not contain c ; so factoring out c is incorrect

In step 6 ; the distributive property was used to obtain ; 16b²c(5b² – 2c² + 3b²)

6 0

1 year ago

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Flannery used 30 lilies and 78 roses to create six identical flower arrangements. Write an equation to describe the relationship

Volgvan

Number of lilies used= 30 lilies

Number of roses used= 78 roses

To make the six identical arrangements:

We need to divide lilies into six equal parts, as well as number of roses in six equal parts.

I=Number of lilies in each arrangement = $\frac{30}{6}=5$

r=Number of roses in each arrangement = $\frac{78}{6}=13$

Total number of flowers in arrangement (I + r)= 5 Lilies + 13 Roses=18 (Flowers)

The relationship between l, the number of lilies, and r, the number of roses:

→ 5 I = 13 r

$I=\frac{13 r}{5} , r =\frac{5I}{13}$

7 0

1 year ago

Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week t

valina [46]

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

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2 years ago

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A football field is 120 yards long by 53 yards wide if a player runs diagonally from one corner to the opposite corner. How far

qaws [65]

Answer: They will travel about 131.18 yards.

Step-by-step explanation:

Given : A football field is 120 yards long by 53 yards wide.

We know that a football field is rectangular in shape.

Each interior angle in a rectangle is a right angle.

Then, by Pythagoras theorem, we have

(Diagonal)² = (Length)² + (Width)²

If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-

$(\text{Diagonal})=\sqrt{(120)^2+(53)^2}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{14400+2809}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{17209}\\\\\Rightarrow\ (\text{Diagonal})=131.183078177\approx131.18\text{ yards}$

Hence, they will travel about 131.18 yards.

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1 year ago

An online T-shirt store is having a sale. The original price of each T-shirt is p dollars. The store sells 20 T-shirts and earns

Mrac [35]

20p - 60 = 20p - 3*20 = 20(p-3)

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1 year ago

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