Answer:
m(m-3)=108
Step-by-step explanation:
Complete question below:
Two positive integers are 3 units apart on a number line. Their product is 108.
Which equation can be used to solve for m, the greater integer?
m(m – 3) = 108
m(m + 3) = 108
(m + 3)(m – 3) = 108
(m – 12)(m – 9) = 108
Solution
On the number line,
Let
m= larger integer
The integers are 3 numbers apart on the number line, so
m-3=smaller integer
The product (×) of the larger and smaller integers=108
(m)*(m-3)=108
m(m-3)=108
Therefore, the equation that can be used to solve for m, the larger integer is:
m(m – 3) = 108
Question 1
cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17
Answer: Choice C) 15/17
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Question 2
sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25
So angle E is the answer
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Question 3
AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse
cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7
Answer: 11.7
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Question 4
x = length of board
cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5
Answer: 10.5
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Question 5
112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg
tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6
Answer: 210.6
Answer:
n=-15
Step-by-step explanation:
5=n/5+8
subtract 8 on both sides
-3=n/5
multiply 5 on both sides
-15=n
- 14,000 feet hopefully....
Number of tacos sold is 65 and number of burritos sold is 40
<h3><u>Solution:</u></h3>
Given that Aiden sells each taco for $4.75 and each burrito for $7
Let the number of tacos sold be "t" and number of burritos sold be "b"
Given that Aiden sold 25 more tacos than burritos
t = b + 25 ---- eqn 1
Also given that yesterday Aiden made a total of $588.75 in revenue
number of tacos sold x cost of each tacos + number of burritos sold x cost of each burritos = 588.75
4.75t + 7b = 588.75 ----- eqn 2
Substitute eqn 1 in eqn 2
4.75(b + 25) + 7b = 588.75
4.75b + 118.75 + 7b = 588.75
11.75b = 470
b = 40
Substitute b = 40 in eqn 1
t = 40 + 25
t = 65
Thus the number of tacos sold is 65 and number of burritos sold is 40
