Plug y= x+5 in 3x+y= 25, we have:
3x+ (x+5)= 25
⇒ (3x+x)+ 5= 25 (combine like terms)
⇒ 4x= 25-5
⇒ 4x= 20
⇒ x= 20/4
⇒x= 5
y= 5+5= 10
Final answer: x=5, y=10~
Answer:
<em><u>d = 8</u></em>
Step-by-step explanation:
2(d -6) - 3 = 1
+3 +3
2(d-6) = 4
/2 /2
(d-6) = 2
+6 +6
(d) = 8
<u><em>d = 8</em></u>
84(1/7)+9(1/3)
The 84 is divided by the 1/7th and the 9 is divided by the 1/3. They are then added.
Answer:
Helene is right
Step-by-step explanation:
Mathematically, the expected values is defined as the sum of all the possible outcomes that an event can have times the probality of the respective outcome:
x = ∑ p *i,
where x is the expected value, i represents every outcome that can occur, and p is the probability of said outcome.
Now, for the case of a dice, the expected value would be:
x = 1 * 
+ 2 * + 3 * + 4 * + 5* + 6 * ,
as every outcome has the same chance of happenning. Solving we get that:
x= *(1 +2 +3 +4+5+6) = * 21 = 3.5
Helene is right.
Answer:
B. 16.7
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relationship between the side adjacent to the angle and the hypotenuse involves the cosine function:
Cos = Adjacent/Hypotenuse
Filling in the numbers from your diagram gives ...
cos(50°) = x/26
Multiplying by 26 gives x.
x = 26·cos(50°)
x ≈ 16.7
