Answer:
The dimensions of the frame are 15 in x 13 in
Step-by-step explanation:
Let
x ----> the length of the picture
y ----> the width of the picture
we know that
-----> equation A
The area of the picture, including the frame is
so
----> equation B
substitute equation A in equation B
solve for y
solve the quadratic equation by graphing
The solution is y=7 in
see the attached figure
<em>Find the value of x</em>
Find the dimensions of the frame
therefore
The dimensions of the frame are 15 in x 13 in
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
Answer:
58.4
119.2
Step-by-step explanation:
Givens
Let one angle = x
Let the other angle = x + 58.4
Together they make 180 degrees.
Equation
x + x + 58.4 = 180 Collect like terms.
Solution
2x + 58.4 = 180 Subtract 58.4 from both sides
2x = 180 - 58.4
2x = 121.6 Divide by 2
x = 60.8
Answer
x = 60.8
x + 58.4 = 119.2
Here we have to find GCD of 29 and 63
GCD here is 1
Divide both numerator and denominator by 1
we get (29÷1)/(63÷1)
Answer : Reduced fraction is 29/63
