The rain caused the river to rise a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How many hours did it rain?

Answers

Answer 1
Answer: = 6 2/3 / 2/3
= 20/3 / 2/3
= 20/3 x 3/2
= 60/6
=10

It rained for 10 hours.

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Describe a situation where it is easier to use decimals than fractions

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when you are ading or subtracting. it is a lot easier to do it in decimal form

200 songs, 24 are country. what percentage are country songs?

Answers

24/200=0.12 or 12% are country songs

15 points-What is the equation in slope-intercept form of the linear function represented by the table?

Answers

slope-intercept form:
y=mx+b
m=slope
b=y-intercept.

1) We need to know the value of the slope (m):
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)

We choose two points of this line:
(-1,-8)
(4,2)
The slope will be:  m=(2+8)/(4+1)=10/5=2

2) we have to find the y-intercept (b) of this line:
we choose any point of this line: for example (4,2) and plug in this point in this equation:
y=mx+b
therefore:
2=2(4)+b
2=8+b
b=2-8
b=-6

3) we can already make up the equation:
Data:
m=2
b=-6
y=mx+b
y=2x-6

Answer: y=2x-6

The last one because the inequality i spositive

Factor the expression 54x+81 using gfc

Answers

We can factor a binomial by taking out the gcf (common factor) . We can factor the binomial as following:

54x = 27 * 2x

81 = 27 * 3

Here, 27 is the common factor of both the terms. So, by taking out 27 as a common factor we will get,

54 x + 81

= 27 (2x + 3)

So, the factor form of the given expression is 27 (2x + 3)

Hope this helps you!

your answer will be 9

Divide 33 photos into two groups so the ratio is 4 to 7.

Answers

 4:7....4 + 7 = 11

(4/11)(33) = 132/11 = 12 <== group 1
(7/11)(33) = 231/11 = 21 <== group 2

4/7 = 12/21

suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats. what is the theoretical probability that the family has two dogs or two cats

Answers

The theoretical probability that the family has two dogs or two cats is 1/3.

Answer:

1/3

Step-by-step explanation: