There are $3.90 worth of nickles and quarters in a piggy bank. There are 6 more quarters than nickels.
How many of each coin are in the piggy bank?
Enter your answers in the boxes.
_____ nickels and ____ quarters
Answers
For this case, the first thing we must do is define variables.
We have then:
x: number of nickles
y: number of quarters
We now write the system of equations.
We have then:
[tex] 0.05x + 0.25y = 3.90
y = x + 6
[/tex]
Solving the system of equations graphically we have:
[tex] x = 8
y = 14
[/tex]
Answer:
8 nickels and 14 quarters
Note: see attached image for the graphic solution.
Answer: There are 8 nickels and 14 quarters.
Explanation:
Since we have given that
there are $3.90 worth of nickles and quarters in a piggy bank.
Let the number of nickles be x
Let the number of quarters be x+6
As we know that
[tex]1\ nickle=0.05\ dollars\\\\and\\\\\ 1\ quarter=0.25\ dollars[/tex]
According to question,
[tex]0.05x+0.25(x+6)=3.90\\\\0.05x+0.25x+1.5=3.90\\\\0.3x=3.90-1.5\\\\0.3x=2.4\\\\x=\frac{2.4}{0.3}=8\\\\and \\\\x+6=8+6=14[/tex]
Hence, there are 8 nickels and 14 quarters.
Related Questions
A cell phone company offers you a plan that charges a flat rate of $25 per month for 200 minutes of airtime. The rate of any time in excess of 200 minutes is $.12 per minute.
A. Write an expression for the monthly dollar amount spent for the cell phone service if you want to use x minutes of airtime in excess of 200 minutes.
B. Write an equation which indicates that you have budgeted no more than $40 per month to spend on the service.
C. Determine the maximum number of minutes you can use in excess of 200 minutes so that you do not exceed your $40 per month budget.
Answers
Solve the rest :)
The expression for the monthly dollar amount spent is $25 + 0.12x. The equation for budgeting no more than $40 is $25 + 0.12x ≤ $40. The maximum number of minutes under the $40 budget is 125 minutes.
Explanation:A. The expression for the monthly dollar amount spent for the cell phone service if you want to use x minutes of airtime in excess of 200 minutes is: $25 + 0.12x. This accounts for the flat rate of $25 plus the additional charge of $0.12 per minute over 200 minutes.
B. The equation which indicates that you have budgeted no more than $40 per month to spend on the service is: $25 + 0.12x ≤ $40. This equation represents the total monthly cost being less than or equal to $40.
C. To determine the maximum number of minutes you can use in excess of 200 minutes so that you do not exceed your $40 per month budget, we solve the equation from B. Start by subtracting $25 from both sides to isolate the variable: 0.12x ≤ $40 - $25. Simplifying gives us: 0.12x ≤ $15. Then, divide both sides by 0.12 to solve for x: x ≤ $15/0.12. Simplifying further gives us: x ≤ 125. Therefore, the maximum number of minutes you can use in excess of 200 minutes is 125 minutes.
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Ken drew a pair of intersecting rays and marked the angle between them.
Which of these statements best compares the pair of intersecting rays with the angle?
-The rays and the angle have two endpoints each.
-The rays and the angle have their lines extending in opposite directions.
-The rays have a number of points lying on them and the angle has only one point lying on it.
-The rays extend infinitely and the angle is made by the rays which have a common endpoint.
...?
Answers
The rays extend infinitely and the angle is made by the rays which have a common endpoint.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
-The rays extend infinitely and the angle is made by the rays which have a common endpoint.
Step-by-step explanation:
A ray starts from one point and extends in one direction forever.
An angle is the space between two intersecting lines at or close to the point where they meet. In this case two rays intersect each other at one point
Find the area of the blue sector of the circle. Round to the nearest hundredth.
A)4.19 cm2
B)6.22 cm2
C)8.31 cm2
D)9.67 cm2 ...?
Answers
Answer:
A) 4.19 cm^2
Step-by-step explanation:
An orchard has 24 rows of apple trees. there are 35 apple trees in each row. how many apple trees are in the orchard?
Answers
Solve for the variable y: a=by+2
Answers
a=by+2
Subtract 2:
a-2=by
Divide by b:
(a-2)/b=y
Sometimes, this may be written as (a/b)-(2/b)=y
Hope this helps!
if 2 people bring 3 pies each and then 3 more people show up, how much pie will each person get?
Answers
15 meters or 15 yards
Answers
please help?
For the function f(x) = -2x^2, if the domain is {-3, 0, 3}, find the range.
A) {0, -36}
B) {0, -18}
C) {-18, 0, 18)
D) {-36, 0, 36}
Answers
What is the tan of 30 degrees
Answers
Answer:
The value of tan 30 degrees is 0.57736.
Step-by-step explanation:
Tan 30 degrees in radical form is = [tex]\frac{1}{\sqrt{3} }[/tex]
We know [tex]\sqrt{3}[/tex] = 1.732
So, tan 30 degrees = [tex]\frac{1}{1.732}[/tex]
= 0.57736
The answer is 0.57736.
Please find attached the exact value reference triangle .
The required value of tan 30 degrees is 1/[tex]\sqrt{3}[/tex].
Given the trigonometric function tan 30 degrees.
The tangent of 30 degrees, written as tan(30°), can be evaluated without a calculator by using the trigonometric properties of special angles.
In a right triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
For a 30°- 60°- 90° right triangle, the side opposite the 30-degree angle is half the length of the hypotenuse, and the side adjacent to the 30-degree angle is equal to the length of the hypotenuse multiplied by
[tex]\sqrt{3}[/tex]/2.
In a 30°-60°-90° triangle, the tangent of 30 degrees is given by:
tan(30°) = (opposite side) / (adjacent side)
tan(30°) = (1/2) / ([tex]\sqrt{3}[/tex]/2)
tan(30°) = 1/[tex]\sqrt{3}[/tex] = [tex]\sqrt{3}[/tex]/3.
tan (30°) = [tex]\sqrt{3}[/tex]/3
Multiply both numerator and denominator by [tex]\sqrt{3}[/tex] gives,
tan(30°) = 3/3[tex]\sqrt{3}[/tex].
Divide both numerator and denominator by 3 gives,
tan(30°) = 1/[tex]\sqrt{3}[/tex].
Therefore, the tangent of 30 degrees is 1/[tex]\sqrt{3}[/tex].
Hence, the required value of tan 30 degrees is 1/[tex]\sqrt{3}[/tex].
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Which function will produce the same graph as the function shown below?
y=(x+1)(x-3)
a. y+3=x(x-1)
b. y-3=(x-1)^2
c. y=x^2+2x+3
d. y=x^2-2x-3 Which function will produce the same graph as the function shown below?
y=(x+1)(x-3)
a. y+3=x(x-1)
b. y-3=(x-1)^2
c. y=x^2+2x+3
d. y=x^2-2x-3
Answers
Answer:
d
Step-by-step explanation:
Without Graphing, Is The System Independent, Dependent, Or Inconsistent? (Equation And Answer Choices Are In Comments!)
Answers
y = -4x +5
We can convert the first equation to the same form as the second (y=mx+b, or slope-intercept).
12x +3y = 12
3y = -12x +12
y = -4x +4
Comparing the simplified first equation y = -4x +4 to the second equation y = -4x + 5, we see that both have the same slope (m = -4), but different y-intercepts (b = 4, b = 5). This means they are parallel lines, or an inconsistent system. There are no solutions.
In statistics, the independent variable is plotted on the x-axis and the dependent variable on the y-axis of a scatter plot, which is used to analyze the relationship between variables. The correlation coefficient determines the strength and direction of this relationship, while the line of best fit predicts values of the dependent variable.
Explanation:In statistics, when analyzing a set of data that consists of two variables, we typically designate one variable as the independent variable and the other as the dependent variable. The independent variable is the one that is presumed to cause or explain changes in the other variable, which is the dependent variable. When these variables are plotted on a graph, the independent variable is placed on the x-axis (horizontal axis), and the dependent variable is placed on the y-axis (vertical axis).
To explore the relationship between two variables, creating a scatter plot is a common first step. This graph will show individual data points representing the pairs of values for the two variables. By inspecting the scatter plot, one might observe whether there is a clear pattern or trend that suggests a relationship. If the points tend to fall along a line, it indicates that there is a linear relationship between the variables.
The next step would be to calculate the line of best fit, also known as the least-squares line, using regression analysis. The equation of this line is typically in the form ŷ = a + bx, where 'a' is the y-intercept and 'b' is the slope. The line of best fit represents the linear relationship between the variables and is used to predict the value of the dependent variable, given a value of the independent variable.
Another important step is to determine the correlation coefficient, often denoted as 'r'. This coefficient measures the strength and direction of the linear relationship between the two variables. A correlation coefficient close to +1 or -1 indicates a strong correlation, while one close to 0 indicates little to no correlation.
. Which ordered pair in the form (a, b) is a solution of this equation? 4a – 5b = 24 A. (0, 6) B. (6, 0) C. (–5, –2) D. (–2, –5)
Answers
Let's check all solutions
A. (0, 6)
a = 0
b = 6
4a – 5b = 24
4*0 - 5*6 = 24
0 - 30 = 24
-30 = 24
INCORRECT
B. (6,0)
a = 6
b = 0
4a – 5b = 24
4*6 - 5*0 = 24
24 - 0 = 24
24 = 24
CORRECT
C. (-5, - 2)
a = -5
b = -2
4a – 5b = 24
4*(-5) - 5*(-2) = 24
-20 + 10 = 24
-10 = 24
INCORRECT
D. (-2, -5)
a = -2
b = -5
4a – 5b = 24
4*(-2) - 5*(-5) = 24
-8 + 25 = 24
17 = 24
INCORRECT
The total amount of money that your mother distributes to you and your two siblings if she gives each person x dollars
Answers
same share to 3 people
x=amount/3
Megan is trying to remember her password for her computer. All she can remember is that it is 2 letters followed by 3 digits.
How many possible combinations are there for Megan's password?
A. 1,560
B. 1,676
C. 468,000
D. 492,804
E. 676,000
Answers
hope this helps
The number of permutations possible is 468000.
What is permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
The first two places are occupied by letters.
The last 3 places are occupied by numbers.
The permutation for the first 2 places is: [tex]26P_2[/tex]
The permutation for the last 3 places is: [tex]10P_3[/tex]
The total permutation is:
[tex]26P_2 \times 10P_3\\\\=468000[/tex]
Hence the correct option is option C.
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an antenna is on top of an 80 foot building, 12 feet from the edge. from a point 60 feet from the base of the building,the angle from ground level to the top of the antenna is 68 degrees. find the height of the antenna to the nearest foot
Answers
solving for x gives 68.5 or 69
HELP I BEG OF YOU!!!!!!!!!!!
Answers
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2
Answers
Santosh is four more than three times the age of his cousin. If Santosh is 49 years old, then what is the age of his cousin?
Identify the two operations, in their appropriate order, needed to solve this equation.
Subtract and then multiply.
Add and then multiply.
Subtract and then divide. < is it this one?
Add and then divide.
Answers
Santos. =(3x+4)
Santos. ........49
=>3x+4=49
3x=49
x=15
=> cousin is 15yrs
Answer:
The answer is Subtract and then divide
Hope this helped.
Ben buys a car for $50,000. The value of the car decreases at a rate of 4% per year. How much will the car be worth in 3 years?
Answers
Answer:
The answer is 44,237.
Step-by-step explanation:
50000×0.96×0.96×0.96
=44236.8
when rounded to the nearest dollar it is 44,237.
Deserts advance linearly, in easily mappable patterns.
True
False
Answers
Deserts don't really have a pattern when they are advancing - there are so many ways they can do this.
This answer is false.
Identify the pair of alternate exterior angles.
A.
∠3 and ∠5
B.
∠2 and ∠8
C.
∠2 and ∠7
D.
∠1 and ∠8
i think B
Answers
Angle 2 and angle 8
Angle 1 and angle 7
Answer: B
The pair of alternate exterior angles is ∠2 and ∠8 in the context of two parallel lines intersected by a transversal.
The correct answer is option B.
When two parallel lines are intersected by a transversal, alternate exterior angles are pairs of angles that are on opposite sides of the transversal and outside the set of parallel lines. In the given options:
A. ∠3 and ∠5: These angles are on the same side of the transversal, not alternate exterior angles.
B. ∠2 and ∠8: These angles are on opposite sides of the transversal and outside the parallel lines, making them alternate exterior angles.
C. ∠2 and ∠7: These angles are on the same side of the transversal, not alternate exterior angles.
D. ∠1 and ∠8: These angles are on the same side of the transversal, not alternate exterior angles.
Therefore, the correct pair of alternate exterior angles is option B: ∠2 and ∠8.
Indicate the method you would use to prove the two 's . If no method applies, enter "none".HL
LA
LL
HA
None
Answers
Answer : HA
Indicate the method you would use to prove the two 's
HL -> It represents Hypotenuse Leg. In the figure , the hypotenuse are same but not the length.
LA --> It represents Leg Angle . In the figure , the corresponding legs and angle are not same.
LL --> It represents Leg Leg . In the figure , the corresponding legs are not same.
HA--> It represents Hypotenuse Angle . In the figure , In the figure , the corresponding hypotenuse and angles are same.
the mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. what is the probability that in a random sample of 25 students from this group, the average height will be between 73 and 75 inches?
Answers
2P(Z<2)−1 To find the probability of Z, use the normal distribution table.
The value for Z being less than 2 is 0.9772. The final result is then2(0.9772)−1=0.9544
Hope this is the answer that you are looking for.
The solution to -35x = -105 is -3.
True
False
Answers
the answer is FALSE
a car wheel has a 14 inches radius. through what angle does the wheel turn when the car rolls forward 2 ft???? ...?
Answers
What is another name for the third quartile of a data set?
a. minimum
b.maximum
c. lower median
d. upper median ...?
Answers
The third quartile is the middle value between the median and the highest value of the data set.
Solve −4(x + 10) − 6 = −3(x − 2).
A. −40
B. −46
C. −52
D. 52
Answers
-4x-46=-3x+6
-x=52
x=-52
Thus, C would be the answer.
Answer:
x = -52
Step-by-step explanation:
-4(x+10)-6=-3(x-2)
Distribute -4 on the left side and -3 on the right side
-4x-40-6=-3x+6
Combine Like terms
-4x-46=-3x+6
Add 46 both sides
-4x=-3x+52
Add 3x to both sides
-1x=52
Divide by -1
x=-52
Hope this helps!!!! :)
The amount of rainfall in January in a certain city is normally distributed with a mean of 4.2 inches and a standard deviation of 0.5 inches. Find the value of the quartile Q1
Answers
Joe builds a toy house in the shape of a rectangular prism. If he paints each of its faces with a different color of paint, how many colors will he require?
4
5
6
8
Answers
What is the value of the function at x = 3?
Answers
Answer:
this goes to jaden rashid, jaden your all grown up now and so is ur cat, u will always be a legend
Step-by-step explanation:
the answer is 5