Answer:
The diagonal of the base is 4√5 centimeters.
The area of a base is 40 square centimeters.
The area of a lateral side between the bases is about 126.5 square centimeters.
Step-by-step explanation:
Answer:
A fruit stand has to decide what to charge for their produce.
They need $ 5.30 for 1 apple and 1 orange.
They also need $ 7.30 for 1 apple and 2 oranges.
TO DETERMINE
To put this information into a system of linear equations.
TO find a unique price for an apple and an orange
EVALUATION
Let the price of an apple = x and price of an orange = y
So From the first condition that they need $ 5.30 for 1 apple and 1 orange we get
\sf{x + y = 5.30}x+y=5.30 - - - - Equation 1
Again from second condition that they need $ 7.30 for 1 apple and 2 oranges we get
\sf{x + 2y = 7.30}x+2y=7.30 - - - - Equation 2
So the required Set of linear equations are
x + y = 5.30
x + 2y = 7.30
Equation (2) - Equation (1) we get
y = 2
From Equation (1) we get
x = 5.30 - 2 = 3.30
Hence price of an apple = $ 3.30
The price of an orange = $ 2
Answer:
24 miles.
Step-by-step explanation:
Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.
Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is 
units.
Total number of units: 
Divide 17:
The number of miles travelled by train is 12 units:
She travelled 24 miles by train.
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.
Examples:
1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.
2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.
3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.
4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)
Now for your problems.
10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.
13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.
The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.
[0, ∞)
Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
Answer:
In think the answer is 42,000
Step-by-step explanation:
