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lora16 [44]
2 years ago
10

Fei Yen's dog eats 8 ounces of dog food each day.Fei Yen's bought a 28 pound bag of dog food.How many 8 ounce servings are in a

28 pound bag of dog food? A)14 B)56 C)224 D)448
Mathematics
1 answer:
joja [24]2 years ago
8 0

Answer:

56

Step-by-step explanation:

Recall that 1 lb = 16 oz, meaning that 1/2 lb = 8 oz.

Thus, we need only divide 28 lb by 1/2 lb to determine the number of 8 oz servings are contained in a 28 lb bag of dog food:

28 lb

--------------------- = 56 8-oz servings

1/2 lb/ serving

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8 0
3 years ago
Part A: Factor x2b2 − xb2 − 6b2. Show your work. (4 points)
IrinaVladis [17]
PART A. Notice that we have b^{2} as a common factor in all the terms, so lets factor that out:
x^{2} b^2-xb^2-6b^2
b^2(x^{2} -x-6)
Now we need can factor x^{2} -x-6:
b^2(x^{2} -x-6)
b^2(x+2)(x-3)

We can conclude that the complete factorization of x^{2} b^2-xb^2-6b^2 is b^2(x+2)(x-3).

PART 2. Here we just have a quadratic expression of the form a x^{2} +bx+c. To factor it, we are going to find <span>two numbers that will multiply to be equal the </span>c<span>, and will also add up to equal </span><span>b. Those numbers are 2 and 2:
</span>x^{2} +4x+4=(x+2)(x+2)
Since both factors are equal, we can factor the expression even more:
x^{2} +4x+4=(x+2)^2

We can conclude that the complete factorization of x^{2} +4x+4 is (x+2)^2.

PART C. Here we have a difference of squares. Notice that 4, can be written as 2^2, so we can rewrite our expression:
x^2-4=x^2-2^2
Now we can factor our difference of squares like follows:
x^{2} -2^2=(x+2)(x-2)

We can conclude that the complete factorization of x^2-4 is (x+2)(x-2)
7 0
3 years ago
NEED HELP PLEASE BEEN WORKING 1 HOUR
Ratling [72]

an=9432+9432*0.075(n-1)

n>1

second problem

9432+9432*0.075(n-1)

plug in 15

9432+9432*0.075(15-1)

multiplication

9432+9903.6

add

19335.6

8 0
2 years ago
7 A triangle is right-angled if the sides are a = m2 − n2, b = 2mn and c = m2 + n2 where m and n are positive integers, and m &g
Karo-lina-s [1.5K]
The general formula for the sides of right triangle is
a² + b² = c²

Subtitute the equation of a and b to the formula a² + b², evaluate if the answer will be the same as the equation of c²

a² + b²
= (m² - n²)² + (2mn)²
= (m² - n²)(m² - n²) + (2mn)(2mn)
= (m⁴ - 2m²n² + n⁴) + 4m²n²
= m⁴ + 2m²n² + n⁴

Factorize the result
m⁴ + 2m²n² + n⁴
= (m² + n²)(m² + n²)
= (m² + n²)²
= c²

It's proven by the formula that c² = (m² + n²)²
so the c will be m² + n²
6 0
3 years ago
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