Answer: 28 hours
Step-by-step explanation:
1. Write original equation: 7.15x=3.40x+105
2. Combine like terms to isolate x: 3.75x=105
3. Divide both sides by same amount to find x: x=28
They would have to work 28 hours to earn the same amount of money.
Answer:
The maximum height is 784 feet
Step-by-step explanation:
In this problem we use the kinematic equation of the height h of an object as a function of time
Where 
is the initial velocity and 
is the initial height.
We know that
Then the equation of the height is:
For a quadratic function of the form 
where 
the maximum height of the function is at its vertex.
The vertice is
In this case
Then the vertice is:
Now we calculate h (6)
The maximum height is 784 feet
The equation would be 35=5x. ‘x’ is the number of seashells her brother has, and the 5 in front of the x is showing that she has 5 times more than him. to find how many her brother has, divide both sides of the equation by 5 to make the x stand alone. you should then get 7=x, meaning that her brother has 7 shells
Answer:
Option (B)
Step-by-step explanation:
From the picture attached,
NL and KM are the two lines intersecting at a point P.
Therefore, ∠KPN ≅ LPM [Vertical angles]
In ΔPLM,
m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]
m∠LPM + 70° + 60° = 180°
m∠LPM + 130° = 180°
m∠LPM = 180° - 130°
m∠LPM = 50°
Therefore, m∠KPN = 50° [vertical angles]
Option (B) will be the correct option.
<span>With a boys to girls ratio of 8:7, this means 8/15 of the campers are boys and 7/15 of the campers are girls.
We are told that there are 195 total campers.
To find # of boys: 195 (the total # of campers) x 8/15 (fraction of the campers that are boys) = 104 boys
To find # of girls: 195 (total # of campers) x 7/15 (fraction of the campers that are girls) = 91 girls
Note: If you do not know how to multiply by fractions, let me know, I have another trick that takes more time but doesn't require the use of fractions.
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