A student has some? $1 and? $5 bills in his wallet. He has a total of 12 bills that are worth ?$40. How many of each type of bill does he? have?
Answers
x1 + y5 = 40
x + y = 12
(I'm going to solve for x first, so multiply the bottom equation by negative 5)
x1 + y5=40
x-5+y-5= -60
(cross out the y and solve)
x-4 = -20
(divide)
x= 5
(place it in the equation you didn't use)
5 + y = 12
y = 7
he has 7 fives and 5 ones
Related Questions
the environmental protection agency has determined that safe drinking water should contain no more than 1.3 milligrams per liter (mg/l) of copper, on average. to test water from a new source, you collect water in small bottles at each of 30 randomly selected locations. the mean copper content of your bottles is 1.36 mg/l and the standard deviation is 0.18 mg/l. you perform a test of
How would you round off a number to one decimal place? For example would 67.39 become 67.4
Which ordered triple is located in the same octant as (3, −4, 7)? (−1, 3, −2) (−5, 1, 6) (5, 3, −1) (2, −5, 4)
Josh was asked to solve the equation 15x-19=4x+11 His first step resulted in the equation 15x=4x=30 Describe what Josh did in his first step.
Answers
set x=0
4t=8(0)-3
4y=-3
divide by 4
y=-3/4
the yintercept is at y=-3/4 or at point (0,-3/4)
Answers
Answers
It's irrational number.
2 < √5 < 3 because 2² = 4 < 5 < 3² = 9
√5 ≈ 2.236
A square root of a number is a value that can be multiplied by itself to give the original number.
√5 is √5
It is known as an irrational number.
An Irrational Number is a real number that cannot be written as a simple fraction.
Answers
Answer:
Equation used to solve for x is 2x + 2.1 = 7.5
The value equal sides of triangle is 2.7 m
Step-by-step explanation:
Given: The isosceles triangle has a perimeter of 7.5 m and the shortest side, y, measures 2.1 m.
We have to find the value of x.
Since y is shortest sides and the triangle given is isosceles thus the other two sides must be equal.
So, length of two equal sides is x.
Then equation becomes,
⇒ x + x + y = 7.5
⇒ 2x + y = 7.5
Substitute the values of y = 2.1 , and solve for x, we have
⇒ 2x + 2.1 = 7.5
Subtract 2.1 both side, we get,
⇒ 2x = 7.5 - 2.1
Divide both side by 2, we get,
⇒ x = 2.7
Thus, the value equal sides of triangle is 2.7 m.
So it says the shortest side, y, is 2.1m, so that means it's the side that is not the same length as the other two sides.
But the other two sides will be the same length. Let's make those 2 sides x.
The equation would be
x + x + 2.1 = 7.5
And with that you can find x.
2x – 1
3x + 5
3x – 5
Answers
Answer:
D. 3x-5
Step-by-step explanation:
We have been given an polynomial and we are asked to choose the correct option that represents the factor of our given polynomial according to the rational root theorem.
First of all we will factor our polynomial.
Therefore, (3x-5) will be a factor of our given polynomial and option D is the correct choice.
Answer:
D.) 3x – 5
Step-by-step explanation:
Answers
In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct random sampling and random group assignment
Explanation:
The terms Random sampling and Random group assignment are greatly different in process of the sample selection. The study related to the determination of how sample participants can be drawn from the population refers to the process of Random sampling. The sample participants are subjected to a treatment by the usage of a random procedure comprises the Random group assignment.
When a researcher wants validate externally then random selection can be used. When a researcher wants to determine the effects of treatment within that group which is known as determination of internal validity then he can opt for Random group assignment.
Answer:
In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct random sampling/random group assignment.
Explanation:
Random selection is a representation of the sample of people for your research from a community. Random assignment is the assigning of the sample that describes various groups or operations in the study.
Reasons:
- Random sampling enables us to get a sample representative of the community.
- Random assignment enables us to make positive that the only distinction among the various treatment combinations is what needs to study.
- Random assignment is crucial for sound empirical design. With adequately large representations, random assignment performs it unlikely that there are methodical variations among the groups.
Thus we can say in order to maximize the chances that experimental groups represent the population of interest, researchers should conduct random sampling/random group assignment.
To learn more about random sampling/random group assignment, refer: