HELPPPToby's piggy bank contains only 5c and 10c coins. If it contains 65 coins with a total value of $3.80, find the
number of each type of coin.
Let x and y be the number of 5c and 10c coins respectively.
Use the fact that the total number of coins is 65 to set up Equation 1.
Write the equation in the form ax + by = c, where a is positive.
Answers
I'm not sure if it only wants you to find Equation 1 or go further and solve:
x = the number of 5c coins
y = the number of 10c coins
Equation 1: the total number of coins is 65
x + y = 65
total value of $3.80
0.05x + 0.1y = 3.8
Simultaneous Equations
Make one coefficient the same
10 * (0.05x + 0.1y = 3.80 = 0.5x + y = 38
x + y = 65
0.5x + y = 38
Subtract the equations
(x + y) - (0.5x + y)= 65 - 38
(x - 0.5x) + (y - y) = 65 - 38
0.5x = 27
x = 54
Substitute it into the original equation to find y.
x + y = 65
54 + y = 56
y = 65 - 54 = 11
Substitute it into the other equation to check it's right.
0.05x + 0.1y = 3.8
0.05(54) + 0.1(65) = 3.8
x = 54 5c coins
y = 11 10c coins
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20 chaperones are needed
The answer is 20.
120 / 12 = 10
This means that there are 10 sets of 12 students. Now multiply 10 by 2:
10 * 2 = 20
Good luck!
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In this case at any given time (input) the oven was exactly one temperature (a single output.
5:00 ------------------72º F
5:05------------------250º F
5:10------------------400ºF
5:20------------------400ºF
5:30------------------400ºF
5:45------------------400ºF
6:00------------------400ºF
6:30------------------300ºF
6:55------------------72ºF
Answer: A. It is a function because at any given time the oven was wxactly one temperature.
Answer:
The correct option is:
A. It is a function because at any given time the oven was exactly one temperature.
Step-by-step explanation:
It is given that:
At 5:00 p.m., Antonio turned on the oven.
The oven remained at 400°F for 45 minutes until Antonio turned it off.
It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m.
The statement that best explains whether the temperature in the oven is a function of the time or not is:
A. It is a function because at any given time the oven was exactly one temperature.
( Since the definition of function states that there is a unique image corresponding to a element hence here the temperature at a given time is unique)
Answers
Answer:
A) ∠1 and ∠8 are alternate exterior angles
B) ∠4 and ∠6 are same side interior angles
E) ∠3 and ∠6 are alternate interior angles
Step-by-step explanation:
Let's check the each options.
A) ∠1 and ∠8 are alternate exterior angles
The exterior angles are ∠1, ∠2, ∠7 and ∠8.
This is correct.
B) ∠4 and ∠6 are same side interior angles.
∠4 and ∠6 are inside the line m and n, they are in the same side, you can see it on the figure.
This is correct
C) ∠5 and ∠7 are vertical angles
∠5 and ∠7 are supplementary angles.
This is not correct.
D) ∠2 and ∠8 are corresponding angles
These are same side of exterior angles.
This is not correct.
E) ∠3 and ∠6 are alternate interior angles
These are interior angles and alternative to each other.
This is correct.
Answer:
∠1 and ∠8 are alternate exterior angles
∠4 and ∠6 are same side interior angles
∠3 and ∠6 are alternate interior angles
Step-by-step explanation:
Verify each case
case 1) ∠1 and ∠8 are alternate exterior angles
The relationship is correct
case 2) ∠4 and ∠6 are same side interior angles
The relationship is correct
case 3) ∠5 and ∠7 are vertical angles
The relationship is incorrect
Because ∠5 and ∠7 are supplementary angles
case 4) ∠2 and ∠8 are corresponding angles
The relationship is incorrect
case 5) ∠3 and ∠6 are alternate interior angles
The relationship is correct
Answers
Answer:
46,900
Step-by-step explanation:
The number can be any number that has 46 in the thousand place and a number that is 5 or above in the hundred place. After that the numbers can be any number. Since you round up from 5 or above the digit 6 will round up to 7 in the thousand place
Answers
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Answers
i hope this be helpful
have a nice day
So, 2 fractions equivalent to
Hope I helped ya!!