Answer:7.3 repeating
Step-by-step explanation:
First, since these are right across from each other, they are equal. So (x+16)=(4x-5)
Then you would subtract the 4x from both sides. Making the equation (-3x+16) = (-5)
Subtract the 16 from both sides making it a -3x=-22
To turn it positive, divide everything by negative 1 making the equation 3x=22
Divide 22 by 3 and you get your answer.
Answer:
25%
Step-by-step explanation:
If you break it up into smaller numbers by pretending the 3 zeros at the aren’t there you’re left with 100 and 25 and 25 is 25% of 100
Answer:
82.4 cm
Step-by-step explanation:
The computation of the height is given below:
As we know that each right triangle contains the top angle of 20 degrees
So, the right angle & the bottom corner angle equivalent to
= 180 - 90 - 20
= 70 degrees
Now the height is
tangent = opposite leg ÷ adjacent leg
tan (70°) = height ÷ 30 cm
height = 30 cm × tan (70°)
= 82.4 cm
Answer:
5 miles per hour
Step-by-step explanation:
Let the speed of Kelly is 
miles per hour and speed of Raul is v₂ miles per hour.
Since, speed = 
Kelly took 135 minutes to cover 90 miles from New York to Philadelphia.
∵ 1 minute = 
hours
∴ 135 minutes = 
= 
hours
v₁ = 
= 
= 40 miles per hour
Raul took 153 minutes to cover the same distance as Kelly,
∵ 1 minute = hours
∴ 153 minutes = 
= 
hours
v₂ = 
= 35.29
≈ 35.3 miles per hours
v₁ - v₂ = 40 - 35.3
= 4.7
≈ 5.0 miles per hours
Therefore, Kelly is 5 miles per hours faster than Raul.
Answer:
A. 228.5
B. 10
Step-by-step explanation:
A. Since <em>x</em> represents the number of months, replace <em>x</em> with 6 in the equation. Then multiply 29x6, which equals 174. Then add 174+54.5, which equals 228.5.
B. You need to solve for <em>x</em> by switching the signs in the equation<em>. </em>Set the original equation (29x+54.5) equal to 344.50. To solve for <em>x, </em>first subtract 344.50-54.5, which equals 290 (you subtract because it's the opposite of adding). Then divide 290÷29, which equals 10. You can check your work by replacing <em>x</em> in the original equation with 10, and if you get 344.5, your answer is correct.
Good luck :)
