Answer:
He received 10 dimes and 15 quarters.
Step-by-step explanation:
Dimes = $0.10
Quarters = $0.25
Variable x = dimes
Variable y = quarters
Create a pair of linear equations:
0.10x + 0.25y = 4.75
x + y = 25
Isolate any variable, using an equation of your choice:
x + y = 25
x = 25 - y
Plug in this new value of x into the other equation:
0.10(25 - y) + 0.25y = 4.75
Use the distributive property:
2.5 - 0.10y + 0.25y = 4.75
Combine like terms:
2.5 + 0.15y = 4.75
Isolate variable y:
0.15y = 2.25
y = 15
Plug in the value of y into any equation:
x + y = 25
x + 15 = 25
Isolate variable x:
x = 10
Hi!
1in:4m
3in:xm
3/1 = 3
4 x 3 = 12
1in:4m
3in:12m
The answer is 12
Hope this helps! :)
Answer:
The rocket hits the gorund after approximately 10.71 seconds.
Step-by-step explanation:
The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:
And we want to find the time in which the rocket will hit the ground.
When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>
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We can use the quadratic formula:
In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.
Substitute:
Evaluate:
Hence, our solutions are:
Since time cannot be negative, we can ignore the first answer.
So, the rocket hits the gorund after approximately 10.71 seconds.
I am pretty sure that the answer on the question represented above is the second option from the scale B. Angle S is congruent to angle V.
the order of letters RST corresponds with UVW, where R-U, S-V, T-W
and the only thing you need is to show two <span>congruent angles</span>
Let x is the amount of $11 per pound coffee
then the equation will be,
11x + 3(30) = 5 (x + 30)
11x + 90 = 5x + 150
11x - 5x = 150 - 90
6x = 60
x = 10
So, $10 is the amount of $11 per coffee that should be added