In an equation the Left hand side must equal the right hand side
4(5y-8-2)=185-15
20y-32-8=170
20y=170+32+8
20y=210
Therefore y=10,5
When you substitute the 10,5 and solve it on the left and side it's equal to 170 which is the answer on the right hand side
Answer: 5 : 3
Step-by-step explanation:
The ratio of shirts to pants can be shown by putting the number if shirts and pants in the following manner:
Number of shirts : Number of pants
20 : 12
Then you have to take this to the lowest term. 4 is a factor of both numbers so when divided by 4 we get:
= 5 : 3
This is the ratio.
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
Answer:
11 1/3 minutes per mile.
Step-by-step explanation:
3/4 miles jogged in 8 1/2 minutes.
So 1 mile jogged in: 8 1/2 divided by 3/4 = 8 1/2 x 4/3 = (17 x 4) / (2 x 3) = 11 1/3 minutes per mile