Answer:
B 12
Step-by-step explanation:
- manuel ate 1/3X
- His brother ate 1/4X
- leftover is 5
- total is X
manuel+brother+leftover=X
x/3+x/4+5=x
7x+60/12=x
7x+60=12x
60=12x-7x
60=5x
x=60/5
x= 12
Answer:
The probability that the cost is kept within budget or the campaign will increase sales is 0.88
Step-by-step explanation:
The probability that the cost is kept within budget (event A) <u>or</u> the campaign will increase sales (event B) is the <u>union</u> of the probability of those two events. By basic properties of probability, this is:
P(A ∪ B) = P(A) + P (B) - P(A ∩ B)
and for independent events:
P(A ∩ B) = P(A) * P(B)
So:
P(A ∪ B) = 0.80 + 0.40 - (0.80*0.40) = 1.20 - 0.32 = 0.88
Answer:
x = 11º
Step-by-step explanation:
1. Notice Parallel Lines
2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)
3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º
4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.
5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).
- 2x + 33 = 5x (C.L.T or <u>C</u>ombine <u>L</u>ike <u>T</u>erms)
- 3x = 33 (inverse operations; divide by 3)
- x = 11º (remember to apply units)
Answer:
number 3
Step-by-step explanation:
<h3>Given</h3>
Three numbers are n, 8n, and (100+n).
Their total is 690.
<h3>Find</h3>
the three numbers
<h3>Solution</h3>
n + 8n + (n+100) = 690
10n + 100 = 690 . . . . . . . simplify
10n = 590 . . . . . . . . . . . . subtract 100
n = 59
8n = 472
n +100 = 159
The three numbers are 59, 472, and 159.
