Brad have 19 quarters and 27 nickels.
Step-by-step explanation:
Given,
Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents
One quarter = 25 cents
One nickel = 5 cents
Let,
x represent the number of quarters.
y represent the number of nickels.
According to given statement;
25x+5y=610 Eqn 1
y = x+8 Eqn 2
Putting value of y from Eqn 1 in Eqn 2
Dividing both sides by 30
Putting x=19 in Eqn 2
Brad have 19 quarters and 27 nickels.
Keywords: linear equation, subtraction
Learn more about subtraction at:
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Answer:
4833 m
Step-by-step explanation:
Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m
We use Pythagoras Theorem to get this done
We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top
Using the sine angle rule, we have
Sine 47.3 = 4900 / h
h = 4900 / sin 47.3
h = 4900 / 0.7349
h = 6668 m
This means that she was 6668 m away from the top of the mountain
She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000
Using the same sine angle rule, we have
Sine 58.5 = o / 5668
o = 5668 * sine 58.5
o = 5668 * 0.8526
o = 4833 m
She is 4833 m above the sea level
The width of the insect is 0.17 cm and the height of the insect is 0.125 cm.
Step-by-step explanation:
Step 1:
The scale factor is given by dividing the measurement after scaling by the same measurement
The given drawing of the insect is larger than the actual insect.
The scale factor is 20: 1 which means 20 cm on the drawing is 1 cm on the actual insect.
Step 2:
To obtain the actual insect's dimensions, we divide the dimensions of the drawing by 20.
The width of the actual insect 
The height of the actual insect 
The width of the insect is 0.17 cm and the height of the insect is 0.125 cm.
Answer:
There are 729 possible results are there for the series
Step-by-step explanation:
If we have n trials, each with m possible outcomes, the total number of possible outcomes is:
In this question:
6 games(trials), so 
.
Each with three possible outcomes, so 
Then:
There are 729 possible results are there for the series
