Answer:
Scott spent $53.25 on lattes last month.
Step-by-step explanation:
To find how much Scott spent in total, multiply the number of lattes bought by the cost of each latte:
15 × 3.55
53.25
Answer:
A. Drink 1
B. Drink 2
Step-by-step explanation:
We are given that,
The quantities of fruit juice in original recipe are:
Apple juice = 
= 
Orange juice = 
= 
= 3
Pineapple juice = 
So, we get that,
The proportion of apple juice to pineapple juice in the original recipe is 
= 
.
Now, according to the options , we will check which drink have apple to pineapple juice ratio equal to .
Simplifying the mixed fraction into rational numbers, we get,
Drink A: 
= .
Drink B: 
= .
Drink C: 
= 5
Drink D: 
= 
= 4
Drink E: 
= 
.
So, we see that,
Drinks A and B have the same proportion of apple to pineapple juice as that of the original recipe.
Answer:
( x - 3 )( x + 9 )
Step-by-step explanation:
The first thing we want to do here is to break the expression into groups. This will help us factor out common terms, that will later be grouped - our resulting, factored expression.
x² + 6x - 27 - Break the expression into groups,
( x² - 3x ) + ( 9x - 27 ) - Factor out x from the expression " x² - 3x. " Respectively factor out 9 from the expression " 9x - 27. "
x( x - 3 ) + 9( x - 3 ) - Now this contains the shared expression " x - 3, " and hence can be broken down further through grouping.
Factored Expression: ( x - 3 )( x + 9 )
We know that angle A is 90 degrees, and angle B is 45 degrees, which means angle C is also 45 degrees. That tells us that BA and CA are equal in length.
a^2 + b^2 = c^2
16^2 + 16^2 = c^2
512 = c^2
sqrt(512) = c
c = 16 sqrt(2)
The answer is B
42 ÷ 396
You could use 40 ÷ 400, which would give you 0.1 as an estimate.
You could also use 42 ÷ 420, which would also give you 0.1 as an estimate.
By the way, by a pair of "compatible numbers", it means when you can easily work out the sum by calculating the first digits multiplied or divided together, then add the zeros.
For example, with 40 ÷ 400, we know that
40 ÷ 40 is 1, so we just put the other 0 infront of the decimal point to make it 0.1.
If it was multiplying (2 x 600), you could work out 2 x 6 (12), then add the 0's to get 1,200
