Answer:
see explanation
Step-by-step explanation:
Since the triangles are right use trigonometric ratios to find x and y
A
sin33° = =
Multiply both sides by x
x × sin33° = 2.5 ( divide both sides by sin33° )
x = ≈ 4.590
tan33° = =
Multiply both sides by y
y × tan33° = 2.5 ( divide both sides by tan33° )
y = ≈ 3.850
B
cos72° = =
Multiply both sides by x
x × cos72° = 6 ( divide both sides by cos72° )
x = ≈ 19.416
tan72° =
Multiply both sides by 6
6 × tan72° = y, thus
y ≈ 18.466
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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I’m pretty sure the answer is 30
Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
This is in gradient intercept form (or slope intercept form)
y = mx + b
in this case y = -1.2x + 26
so m (the slope) = -1.2
and the y intercept = 26
I'm not sure what intercept they're asking for.
if you wanted to find the x intercept, just substitute.
y = 0 and find x.