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3 years ago

14

Russell collected 30 stones at his grand parents' house. He decided to give his little sister 1 / 5 of the stones. How many ston

es did he give his sister?

1 answer:

STALIN [3.7K]3 years ago

5 0

He gives his sister 6 stones

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Please help logarithms!

nlexa [21]

Given:

$\log_34\approx 1.262$

$\log_37\approx 1.771$

To find:

The value of $\log_3\left(\dfrac{4}{49}\right)$ .

Solution:

We have,

$\log_34\approx 1.262$

$\log_37\approx 1.771$

Using properties of log, we get

$\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_349$ $\left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]$

$\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_37^2$

$\log_3\left(\dfrac{4}{49}\right)=\log_34-2\log_37$ $[\log x^n=n\log x]$

Substitute $\log_34\approx 1.262$ and $\log_37\approx 1.771$ .

$\log_3\left(\dfrac{4}{49}\right)=1.262-2(1.771)$

$\log_3\left(\dfrac{4}{49}\right)=1.262-3.542$

$\log_3\left(\dfrac{4}{49}\right)=-2.28$

Therefore, the value of $\log_3\left(\dfrac{4}{49}\right)$ is $-2.28$ .

5 0

3 years ago

The width of a rectangle is 4 1/6 feet, and its area is 35 square feet. What is the perimeter of this rectangle?

DanielleElmas [232]

Answer:

perimeter = 25.13feets

Step-by-step explanation:

width = 25/6 feet

Area = 35 square feet

lenght = Area/width = (35*6)/25 = 8.4feets

perimeter of the rectangle = 2(25/6 + 8.4) = 25.13 feets

5 0

3 years ago

How many 6-digit numbers can be created using8, 0, 1, 3, 7, and 5 if each number is used only once?

Ludmilka [50]

Answer:

600 numbers

Step-by-step explanation:

For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.

However, 0 cannot be used as the first digit, because it would make a 5-digit number.

Therefore

there are 5 choices for the first digit (exclude 0)

there are 5 choices for the first digit (include 0)

there are 4 choices for the first digit

there are 3 choices for the first digit

there are 2 choices for the first digit

there are 1 choices for the first digit

for a total of 5*5*4*3*2*1 = 600 numbers

6 0

3 years ago

You are creating identical picnic basket using 30 sandwiches and 42 apples. What is the greatest number of basket that you can f

UNO [17]

Answer:

Step-by-step explanation:

30: 1, 2, 3, 5, 6, 10, 15, 30

42: 1, 2, 3, 6, 7, 14, 21, 42

greatest number of fill using all of the food is 6

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3 years ago

13. Describe the system by substitution:<br> y=x-7<br> 2x - y = 3

torisob [31]

Answer:

$x = y + 7 \\ \\ x = \frac{3 + y}{2} \: or \: y = 2x - 3$

Step-by-step explanation:

$1. \: 2x = 3 + y \\ 2. \: x = \frac{3 + y}{2} \: or \: y = 2x - 3 \\ \\ 1. \: y + 7 = x \\ 2. \: x = y + 7$

4 0

2 years ago