Answer:
21
Step-by-step explanation:
Let x represent the number of dimes and y represent the number of nickels. The total number of coins is 37; this gives us the equation
x+y = 37
Each dime is worth ten cents, or 0.10, and each nickel is worth five cents, or 0.05. The total amount of money is given by
0.10x+0.05y = 2.65
This gives us the system
To solve this, we will use substitution. We will isolate x in the first equation:
x+y=37
Subtract y from each side:
x+y-y = 37-y
x = 37-y
Substitute this into the second equation:
0.10(37-y)+0.05y = 2.65
Using the distributive property,
0.10(37)-0.10(y)+0.05y = 2.65
3.70-0.10y+0.05y = 2.65
Combining like terms,
3.70-0.05y = 2.65
Subtract 3.70 from each side,
3.70-0.05y-3.70 = 2.65-3.70
-0.05y = -1.05
Divide both sides by -0.05:
-0.05y/-0.05 = -1.05/-0.05
y = 21
There were 21 nickels.
Answer:
6.0
Step-by-step explanation:
: (2.0+(2.0+2.0)) = 6.0
Answer:
☥ 
- Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).
☥ 
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- Slope ( m ) = -2
- Given point = ( - 1 , 8 )
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- Equation of a line in slope - intercept form ( i.e y = mx + c )
Let the point ( -1 , 8 ) be ( x₁ , y₁ )
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plug the known values :
↦ 
↦ 
Distribute -2 through the parentheses :
↦ 
Transpose 8 to right hand side and change it's sign
↦ 
↦ 
And we're done !
Hope I helped!
♡ Have a wonderful day / night ツ
~TheAnimeGirl ♪
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Check the picture below.
let's recall that a straight-line has 180°, and that sum of all interior angles in a triangle is also 180°.
Answer:
The maximum height is reached after 3.75 seconds.
Step-by-step explanation:
Assuming the deceleration due to gravity is unaided by air resistance, gravity causes the ball to lose vertical speed at the rate of 32 ft/s every second. The initial vertical speed of 120 ft/s will decline to zero when t satisfies ...
... 120 ft/s - (32 ft/s²)t = 0
... (120 ft/s)/(32 ft/s²) = t = 3.75 s
The ball will not go any higher after its vertical speed is zero.
