Answer:
42 meters
Step-by-step explanation:
Given
See attachment for complete question
Required
Calculate distance FC
FC is calculated as:
Where
Considering 
, we have:
--- Pythagoras theorem
Where
and
So:
Take square roots of both sides
So:
Considering 
, we have:
--- Pythagoras theorem
Where:
and 
So, we have:
Take square roots of both sides
So;
Recall that:
B
There isn't much to explain here. It's vocabulary
you cant really predict how many bagels will be sold the next morning because of different scenarios but mathematically speaking if you compare plain bagels to total bagels you get 3/15 so if you multiply the denominator by 1 1/4 to get twenty as the denominator then you have to do the same to the numerator to get a fraction of 3.75/20 or roughly 3-4 plain bagels sold
Answer:
4 bags of chocolate chips and 1 bag of walnuts.
Step-by-step explanation:
Find how many ounces are in 3 pounds:
16 oz = 1 lb
16 oz × 3 = 3 lbs
48 oz = 3 lbs
Variable x = number of chocolate chips
Variable y = number of walnuts
4x + 1y = 15
Keep in mind it must equal up to 48 oz and be $15 or under.
4 bags × 12 oz = 48 oz
1 bag × 4 oz = 4 oz
48 oz + 4 oz = 52 oz > 48 oz
4 bags × $3 = $12
1 bag × $2 = $2
$12 + $2 = $14 < $15
Both requirements have been met.
Answer:
x + 1
Step-by-step explanation:
There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.
To check, let's find the two numbers. We know the numbers are next to each other on a number line and that together, they equal 37. Let's begin with 15 and 16.
15 + 16 = 31
These numbers are too low, as they should add to 37. Let's try 18 and 19.
18 + 19 = 37
There are the two correct numbers. If x = the smaller number, x = 18.
18 + 1 = 19
Since this is correct, we know for sure that the answer is x + 1.
