Number of sodas sold = 130
Number of hot dogs sold = 65
Step-by-step explanation:
Given,
Combined number of sodas and hot dogs sold = 195
Let,
x represent the number of sodas sold
y represent the number of hot dogs sold
According to given statement;
x+y=195 Eqn 1
x = 2y Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 3

Putting y=65 in Eqn 2

Number of sodas sold = 130
Number of hot dogs sold = 65
Keywords: linear equation, substitution method
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Answer:
15) 37 16) -5x+13=-112, x=25 23) l=38, w=19
Step-by-step explanation:
15) l=5w+2, 2l+2w=88
2(5w+2)+2w=88
12w+4=88
w=7, l=37
16a) -5x+13=-112
16b) x=25
23) l=2w, 2l+2w=114
2l+l=114
l=38, w=19
Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
Answer:
the answer of this question is = 6x + 18
Answer:
Q' (12,8) , R'( 24,20) and S' (24,8)
Step-by-step explanation:
Here, we want to get the coordinates of the image after dilating the pre-image by a scale factor of 4
What we have to do here is to multiply each of the coordinate on the pre-image by 4
We have this as;
Q' = (4*3, 2 * 4) = (12,8)
R' = (4*6, 4*5) = (24,20)
s' = (4*6, 4*2) = (24,8)