I have 3 times as many nickels as quarters. How many quarters do I have if I have
a total of $2.40
Answers
Answer:
18 Nickels, 6 Quarters
Step-by-step explanation:
For this problem, let's build a system of equations to find the number of nickels and dimes you have. Let N represent the number of nickels and Q represent the number of quarters you have.
The first equation, you have 3 times as many nickels as quarters:
N = 3Q
The second equation, you have a total of $2.40. Given we know nickels are $0.05 and quarters are $0.25:
0.05N + 0.25Q = 2.40
Now, let's use the two equations to find the number nickels and quarters you have.
N = 3Q
0.05N + 0.25Q = 2.40
0.05(3Q) + 0.25Q = 2.40
0.15Q + 0.25Q = 2.40
0.4Q = 2.40
Q = 6
Now, let's plug the value back into the equation:
N = 3Q
N = 3(6)
N = 18
And we can verify these values with the second equation:
0.05N + 0.25Q = 2.40
0.05(18) + 0.25(6) ?= 2.40
0.90 + 1.50 ?= 2.40
2.40 == 2.40
Therefore, we have found and verified the amount of Nickels and Quarters you have.
Cheers.
Related Questions
2x-9
X =
X +5
Use the triangle shown above to solve for x.
A
Answers
The value of x is 14.
We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.
We have two sides measured 2x-9 and x+ 5.
From the figure the length of sides are equal then
2x-9 = x+ 5
2x- 9- x = 5
x-9 = 5
Add 9 to both sides of the equation:
x - 9 + 9 = 5 + 9
x= 14
Thus, the value of x is 14.
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please help it’s due in a couple of minutes
Answers
Answer:
B would be the right answer
Step-by-step explanation:
Paula Ramos
"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip"
the terms around.
True
False
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
It's false the terms " subtracted from " and " less than " means to deduct or use minu (-) operation .
"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip" the terms around. False.
How to calculate expression for subtraction and less than?"Subtracted from" and "less than" do not require flipping or turning the terms around.
"Subtracted from" is used in subtraction and indicates that one quantity is being subtracted from another.
For example, in the expression "a - b," "a" is the number from which b is subtracted) and "b" is the number that is subtracted from a.
"Less than" is used in comparisons and represents the relationship between two quantities. It does not require flipping the terms around.
In both cases, the order and direction of the terms matter, and there is no need to flip them around.
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A certain brand of coffee comes in two sizes. A 12.3-ounce package costs $2.99. A 33.9-ounce package costs $8.74.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the 12.3-ounce package: sſ per ounce
Unit price for the 33.9-ounce package: $ per ounce
The better buy:
The 12.3-ounce package
The 33.9-ounce package
O Neither (They have the same unit price)
Answers
Answer:
The 12.3 package
Step-by-step explanation:
Mrs. Taylor spent $420 on groceries for the week and paying bills. This is 30% of her income for the month. How much money does Mrs. Taylor earn per month?
please help
Answers
Answer: Ms. Taylor earns $1400 a month (good for her)
Step-by-step explanation:
420/3 = $140
$140 x 10 = 1400
What is the value of A in the equation shown?
Answers
Answer:
is this algebra 1
Step-by-step explanation:
Answer:
The answer is 1
Step-by-step explanation:
you isolate the variable by dividing each side
On the pie chart, estimate the central angle for the leading cause of train derailments.
Answers
From the pie-chart given, the best estimate for central angle for the leading cause which is "Human Error" is: B. 165 degrees.
The leading cause of train derailment will be the cause on the pie-chart that has the largest sector.
From the pie-chart given, the largest sector in the diagram is the sector for "Human Error."
This means that the leading cause is definitely "Human Error."
The central angle of the sector for "Human Error." is between 90 degrees and 180 degrees. That's less than half a full circle and less of a quarter circle. The best estimate from the given options is 165 degrees.
Therefore, from the pie-chart given, the best estimate for central angle for the leading cause which is "Human Error" is: B. 165 degrees.
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Answer:
B 165
Step-by-step explanation:
Two bicyclists head toward each other from the opposite ends of Main Street, which is 6 miles long. The first biker started at 2:05 going 12 mph. The second biker began peddling 4 minutes later at a rate of 14 mph. What time will they meet?
Answers
Answer:
2:21
Step-by-step explanation:
You want the meeting time of two bikers traveling at 12 mph and 14 mph, closing a distance of 6 miles between them, when the first starts at 2:05, and the second starts at 2:09.
Gap to be closedThe first biker starts at 2:05 and peddles for 4 minutes before the 2nd biker starts. In that time, the distance traveled is ....
distance = speed × time
(12 mi/h) × (4/60 h) = 48/60 mi = 0.8 mi
The gap between the bikers has been reduced from 6 miles to 6 -0.8 = 5.2 miles by the time the second biker starts at 2:05 + :04 = 2:09 on the clock.
Time to close the gapAfter the second biker starts at 2:09, the 5.2 mile gap between them is being closed at their combined rate of travel: 12 mph +14 mph = 26 mph. The time required to close that 5.2 mile gap is ...
time = distance/speed
time = (5.2 mi) / (26 mi/h) = 0.2 h = 0.2(60 min) = 12 min
Meeting timeThe bikers will meet 12 minutes after the second biker starts, at ...
2:09 + :12 = 2:21
The bikers will meet at 2:21.
GraphThe attached graph shows equations for the distance from the 2nd biker's end of Main street (y1), and the distance the 2nd biker travels (y2). The value of x is the clock time in hours. It shows the two bikers meet at hour 2.35. That fraction of an hour is (0.35 h)×(60 min/h) = 21 min, so their meeting time is 2:21 on the clock. (They meet 2.8 miles from the 2nd biker's starting location.)
Consider the following set of real numbers:
open curly brackets square root of 4 comma space short dash square root of 2 comma space short dash 2 over 3 comma space 1 comma space 9 over 8 comma space square root of 9 over 4 end root comma space 2.4 with bar on top comma space square root of 10 close curly brackets
Which of the following lists all of the rational numbers in the set?
square root of 4 comma space short dash square root of 2 comma space square root of 9 over 4 end root comma space square root of 10
square root of 4 comma space short dash square root of 2 comma space short dash 2 over 3 comma space 9 over 8 comma space square root of 9 over 4 end root comma space square root of 10
square root of 4 comma space short dash 2 over 3 comma space 1 comma space 9 over 8 comma space square root of 9 over 4 end root comma space 2.4 with bar on top
short dash 2 over 3 comma space 1 comma space 9 over 8 comma space square root of 9 over 4 end root comma space 2.4 with bar on top
Answers
Based on the given set of real numbers, a list of all the rational numbers in the set include the following: B. √4, -2/3, 1, 9/8, √(9/4), 2.4. Therefore, the correct answer option is: B. square root of 4 comma space short dash 2 over 3 comma space 1 comma space 9 over 8 comma space square root of 9 over 4 end root comma space 2.4 with bar on top.
What is a rational number?In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the square root of 11.
In this scenario, the rational numbers include all of the following:
√4-2/319/8√(9/4)2.4However, -√2 and √10 would not be classified as rational numbers because they cannot be obtained when an integer is divided by another integer.
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4x^2=x+3
Solve by factoring
Show your work please!
Answers
Answer:
x = - \(\frac{3}{4}\) , x = 1
Step-by-step explanation:
4x² = x + 3 ← subtract x + 3 from both sides
4x² - x - 3 = 0 ← in standard form
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × - 3 = - 12 and sum = - 1
the factors are - 4 and + 3
use these factors to split the x- term
4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(4x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
4x + 3 = 0 ( subtract 3 from each side )
4x = - 3 ( divide both sides by 4 )
x = - \(\frac{3}{4}\)
x - 1 = 0 ( add 1 to both sides )
x = 1
solutions are x = - \(\frac{3}{4}\) , x = 1
2 1/7 divided by 1 2/5
Answers
so yk those balls that come on screen in a cartoon like that desert ball thing? that's what brainly is giving rn. no one answering my questions anymore :")
Answers
The numbers ordered from the greatest to the least is
4
15/5
0.5
-1/5
-1.2
-49
Order of magnitudeFrom the given question, we are to order the given numbers from the greatest to least.
The given numbers are
-49
-1/5
0.5
4
-1.2
15/5
First, we will convert the fractions to decimal or whole number
-1/5 = -0.2
15/5 = 3
Now, we will order the numbers from the greatest to the least
4 > 3 > 0.5 > -0.2 > -1.2 > -49
That is,
4 > 15/5 > 0.5 > -1/5 > -1.2 > -49
Hence, the numbers ordered from the greatest to the least is
4
15/5
0.5
-1/5
-1.2
-49
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All work and answers are provided in the attached screenshot! :)
Have a great day! :)
The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5. what is the midrange
Answers
Answer:
5.5
Step-by-step explanation:
Given the set of data
5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
The average of the least and the greatest value is known as the midrange
The formula for calculating the midrange is expressed as shown:
Midrange = (Greatest value + Least value)/2
Given
Greatest value = 10
Least value = 1
Midrange = 10+1/2
Midrange = 11/2
Midrange = 5.5
Hence the midrange of the data is 5.5
Functions are in the world all around us. You have used functions to model phenomena and to make predictions. Mathematically, you can add, subtract, multiply, and divide functions, and you can also create a composition of functions.
A composition of functions occurs when you evaluate one function using another function, or even with the same function. A composition of functions is useful when a change in one function will create a change in another function, which, in turn, affects a third function. For example, suppose that humans build a housing development on land that was previously used as a corn field. This change in land usage causes the number of birds in the area to decrease, which causes the number of mosquitos to increase. You could model the increase in the number of mosquitoes as a function of the number of birds in the area, which is a function of the number of humans that live on that land.
You can also use the composition of functions to show that one function is the inverse of another function. Recall that the graphs of inverse functions are reflections of each other over the line. Think about these ideas as you read through the scenario below.
Last night it started raining as Hiba was closing up the store where she works. By 3 am, the roof of the store developed a small hole and water began to leak onto the sales floor. The water created a circular puddle on the floor. At any time, t, in minutes, the radius of the puddle increases by 0.1 cm. The rain continued through the night, but stopped by the time the morning shift arrived at the store at 7 am.
When the employees arrived at work, the leak and water puddle were discovered. The employees cleaned up the water puddle and placed a tall circular bucket underneath the leak, which was still slowly dripping. The capacity of the bucket can be expressed as. By 10 am, the amount of water in the bucket is.
Answers
Function composition is only one way to combine existing functions. Another way is to carry out the usual algebraic operations on functions, such as addition, subtraction, multiplication and division.
What is composition function ?The procedure known as "function composition" in mathematics takes two functions, f and g, and creates a function, h = g f, such that h(x) = g(f(x)). The combination of two functions to create a third function is known as function composition. Simply using the first function's output as the input for the second function is how it works.The function g is applied in this operation on the outcome of applying the function f to x. In other words, a function that maps x in domain X to g(f(x)) in codomain Z is produced by composing the functions f: X Y and g: Y Z. It makes sense that z would be a function of x if z were a function of y and y was a function of x. The resulting composite function is designated as (g f )(x) = g(f(x)) for all x in X, and is written as g f: X Z. [nb 1]Find the attachment of answer
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Lines RS, TV, and SW are shown.
10-
8-
R
S
6
4-
2-
-10-8-6-4-22-
2 4 6 8 10 x
T
-6
8
W
-10-
☎ do
N
Which statements are true about these lines? Select
three options.
Line RS has a slope of 6.
Line SW has an undefined slope.
Line TV has a slope of 0.
Lines RS and TV are parallel.
Line SW is perpendicular to line RS, but not to line TV.
Answers
Answer:
b
Step-by-step explanation:
The statements true about the slopes and lines are
a) Line TV has a slope of 0.
b) Lines RS and TV are parallel.
c) Line SW has an undefined slope.
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be S ( 2 , 6 )
Let the second point be R ( -8 , 6 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 6 - 6 ) / ( -8 - 2 ) = 0
So , the slope of line RS = 0
Let the point T = T ( -6 , -4 )
Let the point V = V ( 8 , -4 )
Slope m = ( -4 - (-4) ) / ( 8 - (-6) ) = 0
So , the slope of line TV = 0
And , the lines RS and TV are parallel as they have the same slope
Now , the x coordinate of the point S and W does not change
So , it has an undefined slope
Hence , the equation of line is solved
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The complete question is attached below :
Lines RS, TV, and SW are shown.
Which statements are true about these lines? Select
three options.
Line RS has a slope of 6.
Line SW has an undefined slope.
Line TV has a slope of 0.
Lines RS and TV are parallel.
Line SW is perpendicular to line RS, but not to line TV.
the receipt you are using indicate that a mixture should be heated to a temperature of 132F.The mixture is currently at 109F. how many more degrees d does the mixture need to be heated
Answers
The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.
How much must the receipt be heated to be at recommended temperature?
Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.
Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:
ΔT = R - r
Where:
ΔT - Temperature difference, in degrees Fahrenheit.r - Real temperature, in degrees Fahrenheit.R - Expected temperature, in degrees Fahrenheit.If we know that r = 109 °F and R = 132 °F, then the temperature difference is:
ΔT = 132 °F - 109 °F
ΔT = 23 °F
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Consider the system of linear equations.
−4x+6y = 4
2x−3y = k
Determine the constant so that the system of linear equations has infinitely many solutions. (Hint: Graph the equations in the same coordinate plane. What should you see in order for the system to have infinitely many solutions?)
Answers
The value of the constant k such that the system has infinitely many solutions is; -2.
What is the value of k such that the system has infinitely many solutions?It follows from the task content that the system of equations given upon observation are multiples.
Hence, by multiplying the second equation by -2; we have;
-4x +6y = 4
-4x +6y = -2k
Hence, for the system to have infinitely many solutions; 4 = -2k.
Ultimately, k = -2 by dividing both sides of the equation above by -2.
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A shop is opened at 7.45 am and closed at 6.30 pm on each day from Monday to Friday. Calculate the total time the shop is opened from Monday to Friday.
Answers
Answer:
53 hours and 45 minutes
Step-by-step explanation:
since they open for 10 hours and 45 minutes a day.
10*5=50 hours, 45*5=225 minutes
add the minutes and hours together and it is 53 hours and 45 minutes
∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Answers
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
please help me
A cooking maginzine shows a photo of a main dish on the front cover of 5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be in the front cover during the next 5 years
Answers
The proportion of issues with a photo of a main dish on the front cover is given by the fraction 5/12.
Using that we can estimate that in the next 5 years there will be 25 issues with a photo of a main dish on the front cover.
How many times a photo of a main dish will be in the front cover?
We know that in the current year, 5 out of the 12 issues had a photo of a main dish on the front cover.
Then the proportion of issues with a photo of a main dish on the front cover is given by the fraction:
5/12
This means that if we take N issues of that cooking magazine, then we can estimate that:
(5/12)*N
Will have a photo of a main dish on the front cover.
Now, we assume one issue is published per month, then in 5 years there is a total of:
N = 12*5 = 60 issues.
Then we can estimate that in 5 years there will be:
(5/12)*60 = 25
there will be about 25 issues with a photo of a main dish on the front cover.
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What is the correct evaluation of x2 - x + y2 when x is equal to 5 and y is equal to -2?
Answers
the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.
We are given an expression:
x² - x + y²
We need to find the value of the expression for x = 5 and y = - 2.
Now, substituting the values of x and y in the expression that is given to us, we get that:
x² - x + y²
( 5 )² - ( 5 ) + ( - 2 )²
Solving the squares of the numbers, we get that:
25 - 5 + 4
Simplifying to get the value of the expression, we get that:
= 24
Therefore, the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.
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Is 1/3 a repeating decimal ?
Answers
Answer:
yes i also poop on poop though so it is fun
Step-by-step explanation:
1/3= poop
Answer:
Yes.
Step-by-step explanation:
1/3 = 0.333333333
the answer answer is red give the step by step by how u get the answer
Answers
In order to simplify the following expressions you use the one of the square root properties:
√a√b = √(ab)
5)
√(5n^3)√(20n) = √((5n^3)(20n)) = √(100n^4) = 10n^2
6)
√(8p)√(5p^3) = √((8p)(5p^3)) = √(40p^4) √(4*10p^4) = 2p^2√10
7)
3√(15n^2)√(5n^2) = 3√((15n^2)(5n^2)) = 3√(75n^4) = 3√(25*3n^4) = 15n^2√3
8)
√(3p^3)√(3p) = √((3p^3)(3p)) = √9p^4 = 3p^2
Plz i need help
Evaluate.
62+(3⋅4)−24
Enter your answer in the box.
Answers
Answer:
50
Step-by-step explanation:
Following the order of operations, first you do the multiplication in parenthesis. 3 x 4 is 12.
Then proceed to add and subtract normally. 62 + 12 = 74. 74 - 24 = 50.
The answer is 50.
Hope this helps!
Help please! Show all your work.
Answers
Answer:
If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.
To find the value of k, we can use the given values of y and x:
y = kx
24 = k(12)
k = 2
Now that we know k, we can use the equation to find the value of y when x=16:
y = kx
y = 2(16)
y = 32
Therefore, when x=16, y=32.
Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Please only answer if your sure
Answers
Answer:
second option.
Step-by-step explanation:
(-12,16) and (-4,-2)find the slope
Answers
Answer:
It's -9/4 or -2 1/4. please mark me brainliest <3
Step-by-step explanation:
1) label x1, y1, x2, and y2.
x1 y1 x2 y2
(-12, 16) (-4,-2)
2) Remember the formula is y2-y1
--------
x2-x1
3) substitute
-2-16
--------
-4-(-12)
4) two minuses (negatives) is a positive (+)
so,
-2-16 -18
---------= --------
-4+12 8
5) simplify
-18 divided by 2 -9
----- = ------- or -2 1/4
8 divided by 2 4
Answer:
-1.75
Step-by-step explanation:
please help! I'm not good at these types of problems
A recent social survey asked respondents whether they like Apple or Microsoft. The responses were recorded in the following table.
a. A respondent is randomly selected among those that prefer Apple, what is the probability that the respondent will be female?
b. A respondent is randomly selected among those that are Male, what is the probability that the respondent prefers Apple?
c. What is the relative frequency of a female who prefers Microsoft?
Answers
Answer:
See belowStep-by-step explanation:
A)
Apple total = 346Apple female = 194P(Apple, female) = 194/346*100% = 56.07%B)
Male total = 320Male Apple = 152P(Male, Apple) = 152/320*100% = 47.5%C)
Female total = 320Female Microsoft = 126RF(Female, Microsoft) = 126/320*100% = 39.38%20 points pls help!!!!!!
Answers
Answer:
7
Step-by-step explanation:
3+4=7
What is the slope of the line?
Answers
Answer:
It could be 0, is the question multiple choice?
a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)
