(This solves to n = 17 meaning there are 17 nickels)
=====================================================
Explanation:
"There are 25 pennies, 21 dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.
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Extra info
The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.
To find the number of coins that are not nickels, subtract the number of nickels from the total number of coins. Alternatively, solve for 'n' by subtracting the known quantities of pennies, dimes, and quarters from the total number of coins.
Explanation:To find the number of coins that are not nickels, we need to subtract the number of nickels from the total number of coins. Given that there are 92 coins in total and the number of nickels is represented by 'n', the equation to find the number of coins that are not nickels is 92 - n.
Alternatively, we can solve for 'n' by subtracting the known quantities of pennies, dimes, and quarters from the total number of coins. We know there are 25 pennies, 21 dimes, and 29 quarters. So, we have n = total number of coins - number of pennies - number of dimes - number of quarters = 92 - 25 - 21 - 29. Simplifying this equation gives us the value of 'n'.
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Amy received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.64 per pound. After buying
the coffee, she had $55.44 left on her card. How many pounds of coffee did she buy?
Answer:
4 pounds
Step-by-step explanation:
8.64(4) is 34.56+55.44=90
Answer:
Amy bought 4 pounds of coffee.
Step-by-step explanation:
To begin, subtract what she has left, $55.44, from what she began with with, $90. That equation looks like: 90 - 55.44 = 34.56
Now divide $34.56 by the cost of each pound of coffee, $8.64. That equation looks like: 34.56 ÷ 8.64 = 4
So your answer is 4. Amy bought 4 pounds of coffee.
1. Spent nuclear fuel is
reactive.
O slightly
O highly
Answer: B) highly
Step-by-step explanation:
Answer: B. highly
Step-by-step explanation:
What figure is a dilation of Figure A by a factor of 12?
Answer:
Option C is correct.
Step-by-step explanation:
The rule of dilation implies that when a figure is dilated by a scale factor of 1/2, the length of the sides of the image can be obtained by multiplying the sides of the original figure/object by 1/2.
For example, if the length of a side of a segment is 6 and is dilated by a scale factor of 1/2. The length of the image segment will be 6/2 or 3/2. i.e. the original length 6 of the segment is multiplied by 1/2 to get the image segment 3/2.
Other important thing to consider is when the scale factor to be multiplied is less than 1, than the image will be smaller, but if the scale factor to be multiplied is greater than 1, than the image will be larger.
Now, coming towards the question and lets dilate the sides of the figure A by a scale factor of 1/2.
The length of the side 5 in will have its image with length 2.5 in.i.e. 5/2= 2.5
The length of the side 2 in will have its image with length 1 in.i.e. 2/2 = 1
The length of the side 4 in will have its image with length 2 in.i.e. 4/2 = 2
The length of the side 1 in will have its image with length 0.5 in.i.e. 1/2 = 0.5
Therefore, option C is correct.
What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
Answer:
Step-by-step explain
Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :
A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)
If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.
For the given function, there is no horizontal asymptote.
We can find the slant asymptote by using long division:
(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))
The slant asymptote is y=3/2x+3/4
Answer:
y = 3/2.
Step-by-step explanation:
This is the ratio of the coefficients of the terms in x of highest degree of the function:
y = 3/2.
Choose the expression that represents a cubic expression.
−7x + 14
7x2 − 5x + 6
8x3 − 7x2 − 6x + 5
9x4 + 8x3 − 6x2 − 2x + 11
Answer: 8x³ - 7x² - 6x + 5
Step-by-step explanation:
8x³ - 7x² - 6x + 5 is a cubic expression.
The variable is x
The variable x has highest power as 3.
8x³ - 7x² - 6x + 5 is a polynomial.
-7x + 4 is a linear expression because highest power of the variable x is 1.
7x² - 5x + 6 is a quadratic expression because the highest power of the variable x is 2.
9x^4 + 8x^3 - 6x^2 - 2x + 11 is a polynomial with the highest power of the variable being 4.
The expression that represents a cubic expression is 8x³ − 7x² − 6x + 5, as it contains the highest power of x raised to 3, making it a cubic polynomial.
A cubic expression is a type of polynomial with the highest degree term being raised to the power of 3. In mathematical terms, it is represented as f(x) = ax^3 + bx^2 + cx + d, where 'a' is the coefficient of the cubic term, 'b' is the coefficient of the quadratic term, 'c' is the coefficient of the linear term, and 'd' is the constant term.
Among the options provided:
- −7x + 14 is a linear expression as it contains only a single degree term (degree 1).
- 7x² − 5x + 6 is a quadratic expression as it contains a term with x^2 (degree 2).
- 8x³ − 7x² − 6x + 5 is indeed a cubic expression as it contains a term with x^3 (degree 3).
- 9x⁴ + 8x³ − 6x² − 2x + 11 is a quartic expression with the highest power of x being 4 (degree 4).
Therefore, the expression that represents a cubic expression is 8x³ − 7x² − 6x + 5, as it has the highest power of x equal to 3. Cubic expressions often appear in various mathematical and scientific contexts, including physics, engineering, and economics, and are characterized by their distinctive "S"-shaped curves on graphs.
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Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Mohamed said the formula is g(n) = -5.5", and
Li Jing said the formula is g(n) = -5.50 -1.
Which one of them is right?
Answer:
Li Jing's formula i.e. [tex]\boxed{g_n=-5\cdot \:5^{n-1}}[/tex] is right.
Step-by-step explanation:
Considering the sequence
[tex]-5,\:-25,\:-125,\:-625,...[/tex]
A geometric sequence has a constant ratio r and is defined by
[tex]g_n=g_0\cdot r^{n-1}[/tex]
[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}[/tex]
[tex]\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5[/tex]
[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}[/tex]
[tex]r=5[/tex]
So, the sequence is geometric.
as
[tex]\mathrm{The\:first\:element\:of\:the\:sequence\:is}[/tex]
[tex]g_1=-5[/tex]
[tex]r=5[/tex]
so
[tex]g_n=g_1\cdot r^{n-1}[/tex]
[tex]\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:[/tex]
[tex]g_n=-5\cdot \:5^{n-1}[/tex]
Therefore, Li Jing's formula i.e. [tex]\boxed{g_n=-5\cdot \:5^{n-1}}[/tex] is right.
This is an angle having a measure greater than 90° and up to 180°.
Answer:
obtuse
Step-by-step explanation:
Answer:
Obtuse Angle
Step-by-step explanation:
Obtuse Angle:
An obtuse angle is greater than 90 and less than 180, therefore it's a obtuse angle.
What is subtracting fractions from mixed numbers for grade 4
Answer:
see below
Step-by-step explanation:
So when you have mixed numbers, you have to turn them into regular fractions. How you change them into regular fractions is multiplying the whole number by the denominator (the bottom number in the fraction) and then adding that number to the numerator (the top number in the fraction). So, for example you have
3[tex]\frac{2}{3}[/tex]
3 x 3 = 9
9 + 2 = 11
so, 3[tex]\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]
After you change the mixed fractions that you have into normal fractions, then you can normally subtract the two fractions. If they have the same denominator, then you just subtract the numerators like normal numbers and leave the denominators alone.
[tex]\frac{11}{3}[/tex] - [tex]\frac{2}{3}[/tex] = [tex]\frac{9}{3}[/tex]
If there are different denominators, then you have to multiply one or more fractions by any number so that both fractions have the same denominator.
For example,
[tex]\frac{11}{3}[/tex] - [tex]\frac{7}{6}[/tex]
you have to multiply [tex]\frac{11}{3}[/tex] by two, so that the denominator will equal six. This is the only way that you will be able to add or subtract the two fractions.
2([tex]\frac{11}{3}[/tex]) = [tex]\frac{22}{6}[/tex]
[tex]\frac{22}{6}[/tex] - [tex]\frac{7}{6}[/tex] = [tex]\frac{22-7}{6}[/tex] = [tex]\frac{15}{6}[/tex]
Then, if you are asked to, this fraction can be simplified if you divide both the denominator and the numerator by [tex]\frac{3}{3}[/tex], so
[tex]\frac{15}{6}[/tex] divided by [tex]\frac{3}{3}[/tex] is equal to [tex]\frac{5}{2}[/tex].
This works because [tex]\frac{3}{3}[/tex] = 1.
Which expressions are equivalent to 7⋅7⋅7⋅7⋅7⋅7
SELECT 2 Answers
It's FROM KHAN academy
Answer:
Step-by-step explanation:
One equivalent expression is 7^6: 7 is used as a multiplicand 7 times.
Another equivalent expression would be (7^2)(7^5). Note that 2 and 5 add up to 7.
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{7\times7\times7\times7\times7\times7= \ ?}\\\mathsf{49\times49\times49= \ \ ?}\\\mathsf{2,401\times49= 11,649}\\\\\\\\\boxed{\boxed{\mathsf{Answer\ \#1: 11,649}}}\checkmark[/tex]
[tex]\mathsf{Since\, we\ have\ SIX\ 7\, \we \ can\ have\ 7\ raised\ to\ the\ 6^{th}\ power}[/tex][tex]\mathsf{.\ Because, they all equal to\ 7\times7\times7\times7\times7\times7}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer\#2: 7^6}}}[/tex]
[tex]\mathsf{Thus\ your\ answers\ are\downarrow}\\\\\bullet\ \boxed{\mathsf{Answer \ \#1: 11,649}}]\checkmark\\\\\bullet\ \boxed{\mathsf{Answer\ \#2: 7^6}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
1. A person owns a collection of 30 CDs, of which 5 are country music. If 2 CDs are selected at
random, find the probability that both are country music.
Answer:
Step-by-step explanation:
Sunflower can u please come answer my question next it says
HELP ASAP WILL GIVE BRAINLIEST PLEASE IM DESPERATE!!!!!!!
The probability that both are country music is 2/87.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that,
Number of CDs = 30
Number of country music CDs = 5
Now , at first when 1st CD is selected
Probability (1st), P(1st) = 5/30 = 1/6
After selecting 1st CD,
Total CDs left will be 29
Number of country music CD= 4
So, for 2nd CD selection,
Probability (2nd), P(2nd) = 4/291
Hence the required probability,
P(1st∩2nd) = P(1st) x P(2nd)
= 1/6 x 4/29
= 2/87
Hence,the probability that both are country music is 2/87.
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What percent of 320 is 64
Answer: If you are using a calculator, simply enter 64÷320×100 which will give you 20 as the answer.
Step-by-step explanation: Hope it helps:)
and tryna mark a child brainlest ;)
Answer:
20%
Step-by-step explanation:
64/320=0.2
0.2*100=20%
Find equation that the model below represents
Answer:
5/6
Step-by-step explanation:
Solve for t.
2t? + 11t + 15 = 0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If
there are multiple solutions, separate them with commas.
Answer:1/2
Simplified
Step-by-step explanation:
Greatest Common Divisor (GCD) =2
Divide by GCD =
2 ÷ 2
4 ÷ 2
Greatest Common Divisor (GCD) =2
Divide by GCD =
2 ÷ 2
4 ÷ 2
Simplified =
1/2
Lee saves $85.75. She uses $32.95 of the money to buy a baseball glove. She also wants to buy a camera that costs $58.99. How much more money does Lee need?
Answer:
6. 19
Step-by-step explanation:
Answer:
6.19
Step-by-step explanation:
85.75-32.95=52.8
58.99-52.8=6.19
For f(x) = 4x+1 and g(x)=x^2-5 find (f + g)(x).
(f + g)(x) is x² + 4x - 4
Step-by-step explanation:
Step 1:
Given f(x) = 4x + 1, g(x) = x² - 5. Find (f+g)(x)
(f + g)(x) = f(x) + g(x) = 4x + 1 + x² - 5 = x² + 4x - 4
Explain the steps you could use to solve 3y+6=30 to find y.
Answer:
y = 8
Step-by-step explanation:
remove the constant, 6:
3y=24
divide both by 3. leave x by itself
3y/3=24/3
y = 8
do these steps and you can do these easily
The solution to the equation 3y + 6 = 30 is y = 8.
To solve the equation 3y + 6 = 30 and find the value of y, we need to isolate the variable y on one side of the equation by performing various operations. Here are the steps to solve the equation:
Step 1: Begin with the given equation:
3y + 6 = 30
Step 2: Subtract 6 from both sides of the equation to move the constant term to the other side:
3y + 6 - 6 = 30 - 6
3y = 24
Step 3: Divide both sides of the equation by 3 to isolate the variable y:
(3y)/3 = 24/3
y = 8
Step 4: Verify the solution by substituting the value of y back into the original equation:
3(8) + 6 = 30
24 + 6 = 30
30 = 30
Since the equation is true, we can conclude that the solution to the equation 3y + 6 = 30 is y = 8. By performing the necessary operations, we successfully isolated the variable y and found its value that satisfies the original equation.
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Write the equation of a line in slope intercept form that contains the points (0,2) and (3,4)
Answer:
Step-by-step explanation:
Generally equation of a line is given as
y=mx+c
Then given the point (x, y)=(0,2)
Therefore x=0 and y=2
y=mx+c
2=m×0+c
2=0+c
Then, c=2
Then intercept is 2
Also given the point (x, y)=(3,4)
x=3 and y=4 and c=2
y=mx+c
4=m×3+2
4=3m+2
4-2=3m
2=3m
Then, m=2/3
Then, the slope of the graph is 2/3
y=mx+c
Now, m=2/3 and c=2
The general equation of the line becomes
y=2/3x+2
Multiply through by 3
3y=2x+6
Then this is the equation of the line
Use the set of data to calculate the measures that follow.
0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6
Choose each correct measure.
Mean =
Median =
Range =
Interquartile range =
Answer:
Mean=3.5Median=3.5Range=6Interquartile=1Step-by-step explanation:
Given set of data is 0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6
To find Mean , Median , Range and Interquartile range :First finding Mean
[tex]Mean=\frac{sum of the observations}{number of observations}[/tex][tex]=\frac{0+2+3+3+3+3+3+4+4+4+4+5+5+6}{14}[/tex][tex]=\frac{49}{14}[/tex][tex]=\frac{7}{2}[/tex][tex]=3.5[/tex]Therefore Mean=3.5Median:Since the number of observations is even, so the meadian becomes [tex]Median=\frac{sum of the two mid terms}{2}[/tex][tex]=\frac{3+4}{2}[/tex][tex]=\frac{7}{2}[/tex][tex]=3.5[/tex]Therefore Median=3.5Range:Range=greatest value-least valueIn the given observations we have greatest value is 6 and least value is 0Therefore Range=6-0Therefore Range=6Interquartile:From the observations we have [tex]Q_1=3[/tex] and [tex]Q_3=4[/tex][tex]Interquartile=Q_3-Q_1[/tex][tex]=4-3[/tex]Therefore Interquartile=1Answer:
Mean: 3.5
Median: 3.5
Range: 6
Interquartile range: 1
Step-by-step explanation:
what does 0.1 X 9670 and 0.01 X 9670 equal to?
Answer:
See explaination
Step-by-step explanation:
Multiply 9670 by 0.1, you get 967
Multiply 9670 by 0.01, you get 96.7
What is the perimeter and area of the shape given?
The perimeter of the given shape is 63.50 units and its area is 170.625 square units.
Step-by-step explanation:
Step 1:
First, we need to determine the distance between each of the points in the shape ABCDEFGH.
There are vertical lines and horizontal lines. The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.
Step 2:
Distance of line AB, 15 - 4.5 = 10.5,
Distance of line BC, 14 - 8 = 6,
Distance of line CD, 15 - 10 = 5,
Distance of line DE, 8 - 3 = 5,
Distance of line EF, 15 - 10 = 5,
Distance of line FG, 3 - (-2.25) = 5.25,
Distance of line GH, 15 - 4.5 = 10.5 and
Distance of line AH, 14 - (-2.25) = 16.25.
Step 3;
The area of ABCDEFGH = The area of ABGH - the area of CDEF.
The area of ABGH = Length × Width = AH × AB = 16.25 × 10.5 = 170.625 square units.
The area of CDEF = Length × Width = CD × DE = 5 × 5 = 25 square units.
The area of ABCDEFGH = 170.625 - 25 = 145.625 square units.
Step 4:
The perimeter of shape ABCDEFGH is just the sum of all its lines.
Perimeter of ABCDEFGH = 10.5 + 6 + 5 + 5 + 5 + 5.25 + 10.5 + 16.25 = 63.50 units.
Simplify the expression where possible.
(t^9)^-8
[tex]( {t}^{9} ) {}^{ - 8} \\ = t {}^{9 \times ( - 8)} \\ = {t}^{ - 72} [/tex]
Final answer:
The expression simplifies to [tex]1/t^72[/tex] by using exponent rules to multiply the exponents and then applying the rule for negative exponents.
Explanation:
To simplify the expression [tex](t^9)^-8[/tex] , you need to use the exponent rules.
Specifically, when you have a power raised to another power, you multiply the exponents.
Here, you have the base t raised to the 9th power, and then that result is raised to the -8th power.
The rule is: [tex](a^m)^n = a^(m*n).[/tex]
Applying this rule here gives us:
[tex]= (t^9)^-8[/tex]
[tex]= t^(9*-8)[/tex]
[tex]= t^-72.[/tex]
Since we are dealing with a negative exponent, the rule for negative exponents says that [tex]a^-n = 1/a^n.[/tex]
Therefore, our final simplified expression is [tex]1/t^72.[/tex]
Write the equation of a line in slope-intercept form whose slope is 6 and y-intercept is -7
Answer:
y = 6x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 and c = - 7, thus
y = 6x - 7 ← equation of line
Final answer:
The equation of the line with a slope of 6 and y-intercept of -7 is y = 6x - 7.
Explanation:
The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b is the y-intercept. In this case, we are given a slope (m) of 6 and a y-intercept (b) of -7. Thus, by substituting these values into the slope-intercept formula, we get the equation of the line as y = 6x - 7.
HELP NEED HELP ASAP! Find the zeros or roots for the quadratic expression 2x^2-8x-10 must show all work
Answer:
5 and - 1
Step-by-step explanation:
2x^2-8x-10=0
a=2,b=-8,c=-10
x1=(-b+sqrt(b^2-4ac))/2a
x1 =(-(-8)+sqrt ((-8)^2-4*2*(-10))/2*2
x1=(8+sqrt (64+80))/4
x1 =(8+sqrt (144))/4
x1=(8+12)/4
x1=20/4
x1 =5
x2=(-b-sqrt(b ^2-4ac)) /2 *a
x2=(8-12)/4
x2=-4/4
x2=-1
1. Find the inverse functions of the following
a. f (x) = 5x +3
Answer:
y = 5x + 3
x = 5y + 3
5y + 3 = x
5y = x - 3
y = x/5 - 3/5
f^-1(x) = x/5 - 3/5
Step-by-step explanation:
felicia bought a watch for $149 she puts $50 down if she pays $9 each week how long will it take felicia to pay off her watch?
i need help
Answer:
11 weeks
Step-by-step explanation:
She bought the watch for $149
And paid $50 immediately.
She has $149-$50 left, which gives $99
If she pays $9 each week,
In two weeks, she would be paid $9+$9=$18
In three weeks $9+$9+$9=$27 then it will take her 99/9 weeks to pay off the watch
99/9
It will take her $11 to pay off the watch
Write!!! and solve an equation to solve.For signing up for the rewards program at the pizzeria, Haley got a card with 15 points. For each pizza she orders, she earns 8 points. Once she hits 175 points, she gets a free pizza. How many pizzas will she need in order to get a free one?
Answer:
20
Step-by-step explanation:
Solve for r.
3r = 36
Answer:
12
Step-by-step explanation:
3r = 36
3r/3 = 36/3
r = 12
Answer:
[tex]r = 12[/tex]
Step-by-step explanation:
[tex]3r = 36 \\ \frac{3r}{3} = \frac{36}{3} \\ r = 12[/tex]
Calculate y' using chain rule. y = (e ^ (1 / x))/(x ^ 2)
Answer:
The answer is [tex]y^{'} =e^{\frac{1}{x} } (2x-1)[/tex]
Step-by-step explanation:
First of all, we have product of 2 functions [tex]e^{1/x}[/tex] and [tex]x^{2}[/tex]
[tex]y^{'} =u\frac{dv}{dx}+v\frac{du}{dx}[/tex]
Let [tex]u=e^{1/x}[/tex] and [tex]v=x^{2}[/tex]
using chain rule for [tex]u[/tex], [tex]\frac{du}{dx}=-\frac{1}{x^2}[/tex]
and [tex]\frac{dv}{dx}=2x[/tex]
Therefore,
[tex]y^{'} =u\frac{dv}{dx}+v\frac{du}{dx}=e^{1/x}(2x)+x^{2} (-\frac{1}{x^2})=e^{1/x}(2x-1)[/tex]
397,864 to the nearest thousand
Answer:
398,000 is your answer.
Step-by-step explanation:
you round up at the 1000s place
The number 397,864 rounded to the nearest thousand is 398,000.
Explanation:
Rounding 397,864 to the nearest thousand means finding the closest whole number that is a multiple of 1,000. The thousands place digit is 7, so we look at the digit to the right of it, which is 8. Since 8 is greater than 5, we round up the thousands place digit to 8, and the rest of the digits become zeros. Therefore, 397,864 rounded to the nearest thousand is 398,000.
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At a fruit stand, for every 5 apples sold there are 4 oranges sold what is the ratio of oranges sold to apples sold
Answer: 4:5
Step-by-step explanation:
oranges=4
apples=5
4 oranges to 5 apples
Answer:
5 apples to 4 oranges
Step-by-step explanation:
ratios are easy