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
Since we have to divide 60 by ¾, so get 60/ ¾ =60* 4/3 = 80
Answer:
The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21 ⇒ A
Step-by-step explanation:
Let us use the mapping shown to solve the question
∵ f(x) = y
∵ x is the domain
∵ y is the range
→ From the figure use x from the domain and y from the range, where
each arrow pointed at the corresponding value y of x
∵ x = -1 and the corresponding value of y is 5
∴ f(-1) = 5
∵ x = 0 and the corresponding value of y is 3
∴ f(0) = 3
∵ x = 1 and the corresponding value of y is 5
∴ f(1) = 5
∵ x = 2 and the corresponding value of y is 11
∴ f(2) = 11
∵ x = 3 and the corresponding value of y is 21
∴ f(3) = 21
The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21
Statement 3: tri egc = tri egb
statement 4: tri ebc is equilateral.
reason 5: equilateral triangles have equal angles
Answer:
4.80
Step-by-step explanation:
add them up 4.80 dollars
