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Ahat [919]
2 years ago
5

A recipe calls for 1/4 cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are

16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons of broth should she use?
a) 1 1/3 teaspoons
b) 12 teaspoons
c) 19 teaspoons
d) 21 1/3 teaspoons
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
7 0

Answer:

Option b. 12 teaspoons.

Step-by-step explanation:

In the question it given :

1 cup = 16 tablespoons

1 tablespoon = 3 teaspoons

16 tablespoon = 48 teaspoons or 1 cup

A recipe calls for 1/4 cup of broth. Tabitha has only a teaspoon to measure broth.

1 cup broth = 48 teaspoons

1/4 cup broth = 48 × \frac{1}{4} = 12 teaspoons

Tabitha should use 12 teaspoons of broth.

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David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o
BlackZzzverrR [31]

Answer: The correct statements are

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.

David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :(b^4,b^2,b^4)

b^4= b × b × b × b

b^2 = b × b

b^4 =b × b × b × b

GCF of variables :(b^4,b^2,b^4) is b^2

3) GCF of c^3 and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.

4) 80b^4-32b^2c^3+48b^4c

=16b^2(5b^2-2c^3+3b^2c)

David applied the distributive property.

7 0
1 year ago
Read 3 more answers
An algebra class has 16 students and 16 desks. For the sake of variety, students change the seating arrangement each day. How ma
sineoko [7]

Answer: a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

Step-by-step explanation:

Since we have given that

Number of students = 16

Number of desks = 16

a)  How many days must pass before the class must repeat a seating arrangement?

16!=2092278989

If the number of rows = 4

b) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

4!\times 4!\\\\=24\times 24\\\\=576

c) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

\dfrac{576}{2092278989}

Hence, a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

6 0
2 years ago
Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
nadezda [96]
Y=5.25x thank me later
5 0
1 year ago
Read 2 more answers
What is the product (6r-1)(-8r-3)
eimsori [14]
Use the FOIL method (First, Outside, Inside, Last)

6r(-8r) = -48r²
6r(-3) = -18r
-1(-8r) = 8r          (note: two negatives multiplied together = positive answer)
-1(-3) = 3

-48r² - 18r + 8r + 3

Combine like terms:


-48r² - 18r + 8r + 3

-48r² - 10r + 3


-48r² - 10r + 3 is your answer

hope this helps
6 0
2 years ago
If the measure of angle 5 equals 102 degrees, then the measure of angle 8 equals what?
kiruha [24]
I hope this helps you

7 0
1 year ago
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