The price of each caramel macchiato is $5.60
What is the correct function in this case?
The appropriate function is the one that considers the initial amount of $35 , the amount spent for 5 caramel macchiatos, and the balance left which is $7 after the purchase
This means the $35 minus the amount spent equals $7
let us assume that the price per item is x for 5 items, then he spent 5x
35-5x=7
35-7=5x
28=5x
x=28/5
x=$5.60
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Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
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The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
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The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
Answer:
y > 2
Step-by-step explanation:
1) 
Divide both sides by <em>3</em>.
2) 
Move the constant to the right side and change it's sign.
3) 
Subtract the numbers.
4) 
Answer:
x + y = 11
Step-by-step explanation:
You would need to substitute the numbers into the expression.
Evaluate means that we need to work out what the answer would be.
x + y is equivalent to 9 - - 2.
- - is equivalent to +.
Therefore you would do 9 + 2, which equals 11.
Hope this helps :)
Answer:
The value of E = 108.
Step-by-step explanation:
Given is the formula E = mc²
Given the value of M = 3.
Given the value of C = 6.
Then we can plug these values in the given formula and find the value of E.
We have E = mc² , where m = 3 and c = 6.
So, E = (3)*(6)²
E = 3*36
E = 108.
Hence, the value of E = 108.
