Answer:
6 days
Step-by-step explanation:
First we have to write an expression that represents Johnny's and Sal's banking plans.
Johnny: He has an initial value of $100 and that value will increase by $15 every day. So the expression looks like: 15x + 100, where x is the amount of days it's been.
Sal: An initial value of $250 and the value will decrease by $10 everyday. The expression looks like: -10x + 250, where x is the amount of days it's been.
To find how many days they have until they have the same amount of money in the bank, we can set the expressions equal to each other and solve for x:
15x + 100 = -10x + 250
Add 10x to both sides to isolate the x on one side of the equation:
25x + 100 = 250
Subtract 100 from both sides of the equation to isolate 25x:
25x = 150
Divide both sides by 25 to find the value of x:
x = 6
Since x represents the amount of days it's been, x = 6 means that it will take 6 days for their bank accounts to have the same amount of money in them.
Hope this helps :)
Answer:
(a)Jupiter
(b)24.4 km
(c)
Step-by-step explanation:
<u>Part A</u>
The planet with the greatest ma.ss is Jupiter.
It has a ma.ss of 
<u>Part B</u>
The diameter of Mercury = 4.88 X 10
Radius = Diameter/2
Therefore:
Radius of Mercury

<u>Part C</u>

9514 1404 393
Answer:
D. Henry's started farther, went faster
Step-by-step explanation:
Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...
y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value
__
Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.
__
Henry started farther from town and traveled faster.
Answer:
The correct answer is option C. Cos x
Step-by-step explanation:
<u>Points to remember</u>
<u>Trigonometric ratios
</u>
Sin θ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = Opposite side/Adjacent side
From the figure we can see that, a right triangle with angles and sides are given.
<u>To check the options</u>
1) Sin x = Opposite side/Hypotenuse = p/q
2). Cos y = Adjacent side/Hypotenuse =p/q
3). cos x= Adjacent side/Hypotenuse = r/q
4). tan y = Opposite side/Adjacent side = r/p
Therefore the correct answer is option C. Cos x
Use Cymath to find your answer