The number of hotdogs that must be sold to earn $170 is 70
What is the formula for total earnings?
The total earnings can be determined as the price per hotdog multiplied by the number of hotdogs sold, which is as shown below:
total earnings=price per hotdog*number of hotdogs
total earnings(initially)=$140
price per hotdog=P
number of hotdogs=56
$140=P*56
P=4140/56
P=$2.50
Now, we need to determine the number of hotdogs required to earn $175
$175=$2.50*X
X=$175/$2.50
X=$70
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Answer:
Step-by-step explanation:
hello :
the area is : (3x+4y)²cm² when :x=4 and y=1, the area is : (3(4)+4(1))²cm² =16²cm2=256cm²
Aaron's plane flew 3.21 meters further than Noah's plane.
<u><em>Explanation</em></u>
Aaron's plane flew 4 meters and Noah's plane flew 79 centimeters.
So, first we need to <u>convert 79 centimeters into meters</u>.
We know that, 1 centimeter = 0.01 meter
So, 79 centimeters = 
Now, the difference of distance between Aaron's plane and Noah's plane is 
Figure is missing, so i have attached it.
Answer:
it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Step-by-step explanation:
The standard form of equation of an ellipse is;
x²/a² + y²/b² = 1
From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft
While the value of b = 13 ft
Thus;
x²/26² + y²/13² = 1
x²/676 + y²/169 = 1
We want to find the height of the archway of the bridge 5 feet from the center.
Thus, we will plug in 5 for x to get;
5²/676 + y²/169 = 1
(25/676) + (y²/169) = 1
Multiply through by 676 to get;
25 + 4y² = 676
4y² = 676 - 25
y² = 651/4
y² = 162.75
y = 12.76 ft
Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
