Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
Answer:
N, which is the increment is 4
Answer:
The Circle.
Step-by-step explanation:
The Triangle area is 112 ((14*16)/2), the squares area is 100 (10 * 10) and the circles area is 113.1 (6^2 * pi)
Hope this helps!
Answer: a. 0.4 × 0.15 = 0.060
Step-by-step explanation: Probability of the complement of an event is the one that is not part of the event.
For P(A):
P(A') = 1 - 0.6
P(A') = 0.4
For P(B):
P(B') = 1 - 0.85
P(B') = 0.15
To determine probability of A' and B':
P(A' and B') = P(A')*P(B')
P(A' and B') = 0.4*0.15
P(A' and B') = 0.06
<u>Probability of the complement of the event is 0.060</u>
Answer:
Enlargement.
Scale Factor: 3
Step-by-step explanation:
Use points to find the enlargement. Typically, you will use all the points.
A(1 , 1) ⇒ A'(3 , 3)
B(2 , 1) ⇒ B'(6 , 3)
C(1 , 2) ⇒ C'(3 , 6)
D(2 , 2) ⇒ D'(6 , 6)
To find the scale factor, simply divide the Point' with the original Point. Use any number.
A'(3 , 3)/(A(1 , 1)) = 3
B'(6 , 3)/(B(2 , 1)) = 3
C'(3 , 6)/(C(1 , 2)) = 3
D'(6 , 6)/(D(2 , 2)) = 3
Your scale factor is 3.
~
