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2 years ago

Kate is making hamburgers for her friends and has pounds of hamburger. How many -pound hamburgers can she make?

Mathematics

1 answer:

Ludmilka [50]2 years ago

4 0

Answer:

25 hamburgers

Step-by-step explanation:

Kate is making hamburgers for her friends and has 8 1/3 pounds of hamburger. How many 1/3-pound hamburgers can she make

Solution:

Given that Kate has 8 1/3 pounds of hamburger and she wants to make various hamburgers of 1/3 pound each. To determine the number of hamburgers she can make, we just have to divide the pounds of hamburger (8 1/3 pounds) by the 1/3 pounds.

8 1/3 pounds = [(8*3) + 1] / 3 = (24 + 1) / 3 = 25/3 pounds of hamburger

Therefore:

Number of hamburgers she can make = (25/3 pounds) / (1/3 pound) = 25 hamburgers

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2 years ago

What is the 4th term of the geometric sequence with <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}"

makvit [3.9K]

<u>Answer:</u>

The 4th term of the geometric sequence with = 5 and ratio (multiplier) = -3 is -135

<u>Solution:</u>

Given that, first term a of a G.P = 5 and common ratio ( r ) = -3 for an geometric progression.

We have to find the 4th term of the above given geometric progression

We know that, nth term of an G.P is given by

$t_{n}=a \cdot r^{n-1}$

So, now, 4th term is

$\begin{aligned} t_{4} &=5 \times(-3)^{4-1} \\ t_{4} &=5 \times(-3)^{3} \\ t_{4} &=5 \times(-27) \end{aligned}$

$t_{4}=-135$

hence, the 4th term of the given G.P is -135

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2 years ago