Answer:
35 dimes and 65 nickels
Step-by-step explanation:
We will need use a system of equations to find the total number of nickels and dimes.
Because there are 100 dimes and there are only nickels and dimes, one equation is N + D = 100, where N is the total number of nickels and D is the total number of dimes.
Because a dime is worth $0.10, a nickel is worth $0.05, and the total change in the jar is worth $6.75, the second equation is 0.05N + 0.1D = 6.75
Substitution will be the easiest method to solve:
[tex]0.05N+0.1D=6.75\\N+D=100\\\\N=-D+100\\\\0.05(-D+100)+0.1D=6.75\\-0.05D+5+0.1D=6.75\\0.05D+5=6.75\\0.05D=1.75\\D=35\\\\N+35=100\\N=65[/tex]
Which table of values represents a linear function?
Answer: A
Step-by-step explanation:
This is because the scale factor is 1.25 so this means that any number you do ex 12 then multiply that by 1.25 it equals the next number in the table, in this case 15. So A is the table that represents a linear function.
explain what the slope and intercept mean in each situation the amount of money y in a cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y intercept is 8
Answer:
The (1/4) slope is the prive per ticket. The y intercept is the money in the cash box before any tickets were sold.
Step-by-step explanation:
Let y be the money and x the numbers of tickets sold, as requested. We are told that the equation for this situation is:
y = (1/4)x + 8
Let's assume the money is in units of dollars. The slope of (1/4) would mean that each carnival game ticket cost $(1/4), or 25 cents. The y-intercept is the value of y when x=0, which means zero tickets have been sold. That means that the cash box had $8 before any sales were made. [perhaps to use for making change].
the cube root parent function is reflected and stretched by four. it is translated six to the right and five down. write an equation that represents this new function
The equation for new function is,
⇒ f (x) = ∛( 1/4x - 6) - 5
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The parent function is,
⇒ g (x) = ∛x
Now, After reflected and stretched by 4, we get;
⇒ g (x) = f (1/4x) = ∛ 1/4x
And, After translated 6 units to the right, we get;
⇒ g (x) = f (x - 6) = ∛ 1/4x - 6
And, After 5 unit down, we get;
⇒ g (x) = h (x) - 5 = ∛( 1/4x - 6) - 5
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What is the x-intercept of the graph of y x2 − 4x 4?
The x-intercept for the graph of y is found to be at x = 2.
Define the term x-intercept?The points where such a line crosses an axis are known as the x-intercept and the y-intercept, respectively.The graph's intersection with the x-axis is known as the x-intercept.Therefore, the y coordinate would be zero at that time.The quadratic equation given is
y = x² - 4x + 4
Put y = 0
0 = x² - 4x + 4
It becomes perfect square for (x - 2).
It can be written as;
(x - 2)² = 0
Take square root on the both sides
x - 2 = 0
x = 2
Thus, the x-intercept for the graph of y is found to be at x = 2.
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The correct question is-
What is the x-intercept of the graph of y = x² - 4x + 4?
Find the measure of the missing angles.
Answer:
a = 33 degrees
Step-by-step explanation:
Note that 57 degrees and Angle a are complementary: they add up to 90 degrees.
Thus, a = 90 degrees less 57 degrees = 33 degrees
Please help I have a learning disability
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
72 - (63 - 8) and (72 - 63) - 8
yes, it uses the Identity Property
yes, it uses the Associative Property
yes, it uses the Commutative Property
No they are not equivalent. The first expression equals 17 and the second equals 1.
Answer: yes, it uses the Associative Property
Step-by-step explanation:
Are infinite languages undecidable?
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
Define infinitive.The ideas of zero and infinity are related, although evidently, zero is not the same as infinity. Instead, if N/Z set exists, and N is any positive number, the quotient grows indefinitely as Z approaches 0. Therefore, it is obvious that N / 0 is limit- less.
Here,
Regular languages are all finite languages. Some of the infinite languages are common. Only infinite languages have an undecidability limit.
There must be specific language strings that cause the TM to fail for the language to be undecidable. In fact, such strings must exist indefinitely (otherwise, the poorly behaved ones could be handled by special-case logic).
Thus, undecidability requires an is infinite language but does not prove it.
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
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Which system of equations is represented by the graph?
one parabola opening upwards and one parabola opening downwards intersecting at points (3, 9) and (-3, 9)
y = x2 + 3x
y = –x2 + x + 18
y = x2
y = –x2 +18
y = x2
y = x2 + 18
y = x2
y = –x2 – x – 18
Answer:
Blue: y = x²
Red: y = -x² + 18
Step-by-step explanation:
The blue parabola opens upwards, therefore the term in x² is positive.
The red parabola opens downwards, therefore the term in x² is negative.
The x-value of the vertices of both parabolas is x = 0.
Therefore, the equations of both parabolas will not have a term in x.
The y-intercept of the blue parabola is also the y-value its vertex: y = 0.
The y-intercept of the red parabola is also the y-value its vertex: y = 18.
Therefore, the equation for each parabola is:
Blue: y = x²Red: y = -x² + 18To check, substitute x = ±3 into both equations:
Blue
[tex]x=3 \implies y=(3)^2=9[/tex]
[tex]x=-3 \implies y=(-3)^2=9[/tex]
Red
[tex]x=3 \implies y=-(3)^2+18=9[/tex]
[tex]x=-3 \implies y=-(-3)^2+18=9[/tex]
Answer:
y = x2
y = –x2 +18
Step-by-step explanation:
I got it right on the test.
At a certain zoo, the average mass of one cow is measured to be 410410 kilograms. Use scientific notation to express the mass of 6060 cows
The scientific notation to express the mass of 60 cows is 2.46 × 10⁴ kg. It is determined after multiplying the mass of one cow by the number of cows.
What is scientific notation?Scientific notation is a way of expressing very small or very large numbers in a simpler form.
In scientific notation, the number is written as
a.b × 10ⁿ
Where
1 ≤ a < 10n is an integerIf the mass of one cow is 410 kg, find the mass of 60 cows in scientific notation!
The mass of 60 cows would be
= number of cows × mass of one cow
= 60 × 410 kg
= 24,600 kg
In scientific notation, it is
24,600 kg = 2.46 × 10,000
24,600 kg = 2.46 × 10⁴ kg
Hence, the mass of 60 cows in scientific notation is 2.46 × 10⁴ kg.
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On a negatively skewed curve, which is true?
The mean of negatively skewed facts can be less than the median. If the information graphs symmetrically, the distribution has 0 skewness, no matter how lengthy or fat the tails are.
What is a curve ?
Curve can be defined as the path on which it is usually generated by the equation.
In statistics, a negatively skewed (also called left-skewed) distribution is a sort of distribution wherein more values are targeting the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.
negatively skewed distribution refers to the distribution kind where greater values plot at the graph's proper facet, the tail of the distribution is longer on the left aspect, and the suggest is decrease than the median and mode. It is probably 0 or poor due to the data being distributed negatively.
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Solving inequalities
3/5 * p ≤ 6
Answer:
p ≤ 10
Step-by-step explanation:
3/5 * p ≤ 6
Multiply each side by 5/3
5/3 *3/5 * p ≤ 6* 5/3
p ≤ 10
Answer:
p< 10
Step-by-step explanation:
See the image below:)
What is the interquartile range?
Answer:
40
Step-by-step explanation:
subtract q3 - q1
If you know the answer to this question please help!! ASAP I will give brainiest! Fr
the public school enrollment of a city is 13,500. Enrollment is declining at a rate of 4.5% per year. predict the enrollment in 5 years.
Answer:
In five years, the enrollment would have been 10,724 students
Step-by-step explanation:
The general depreciation formula is given as;
P = I( 1 - r)^t
where P is the present population
I is the initial
r is the rate of depreciation = 4.5% = 4.5/100 = 0.045
t is 5 years
substituting these values;
P = 13,500 (1- 0.045)^5
P = 10,723.84
Tia's Snow Cone Xpress offers 2 sizes (small or huge), 4 flavors (cherry, vanilla,
strawberry, bubble gum), and 3 glow-in-the-dark spoon choices (green, purple, red).
1) Write out all possible outcomes in an organized fashion. How many different
possible combinations are there in total?.
2) What method did you use to make this determination? Why did you use that
method?
3) How many different snow cones include the cherry flavor and a green spoon?
How did you come up with this answer?
Answer:
1) Small-Cherry-Green, 2) Small-Cherry-Purple, 3) Small-Cherry-Red, 4) Small-Vanilla-Green, 5) Small-Vanilla-Purple, 6) Small-Vanilla-Red, 7) Small-Strawberry-Green, 8) Small-Strawberry-Purple, 9) Small-Strawberry-Red, 10) Small-bubble gum-Green, 11) Small-Bubble gum-Purple, 12) Small-Bubble gum-Red , 13) Huge-Cherry-Green, 14) Huge-Cherry-Purple, 15) Huge-Cherry-Red, 16) Huge-Vanilla-Green, 17) Huge-Vanilla-Purple, 18) Huge-Vanilla-Red, 19) Huge-Strawberry-Green, 20) Huge-Strawberry-Purple, 21) Huge-Strawberry-Red, 22) Huge-Bubble gum-Green, 23) Huge-Bubble gum-Purple, 24) Huge-Bubble gum-Red
b) 24
2) Tree diagram method
b) Each unique snow cone has an element of each category
3) 2
i) By counting
ii) By finding out the possible combinations
Step-by-step explanation:
The details of the options at Tia's Snow Xpress includes;
2 (different) sizes; Small or huge size
4 (different) flavors; Cherry, vanilla, strawberry, bubble gum
3 glow-in-the-dark spoon choices; Green, purple, red
1) Let the 'a' represent the small size let 'b' represent the huge size, let 'c' represent cherry, let 'v' represent vanilla, let 's' represent strawberry, let 'b' represent bubble gum, let '1' represent green, let '2' represent purple and let '3' represent red, we have;
The possible outcomes are;
ac1, ac2, ac3, av1, av2, av3, as1, as2, as3, ab1, ab2, ab3
bc1, bc2, bc3, bv1, bv2, bv3, bs1, bs2, bs3, bb1, bb2, bb3
With the use of MS Word, we have;
1) Small-Cherry-Green, 2) Small-Cherry-Purple, 3) Small-Cherry-Red, 4) Small-Vanilla-Green, 5) Small-Vanilla-Purple, 6) Small-Vanilla-Red, 7) Small-Strawberry-Green, 8) Small-Strawberry-Purple, 9) Small-Strawberry-Red, 10) Small-bubble gum-Green, 11) Small-Bubble gum-Purple, 12) Small-Bubble gum-Red
13) Huge-Cherry-Green, 14) Huge-Cherry-Purple, 15) Huge-Cherry-Red, 16) Huge-Vanilla-Green, 17) Huge-Vanilla-Purple, 18) Huge-Vanilla-Red, 19) Huge-Strawberry-Green, 20) Huge-Strawberry-Purple, 21) Huge-Strawberry-Red, 22) Huge-Bubble gum-Green, 23) Huge-Bubble gum-Purple, 24) Huge-Bubble gum-Red
Therefore;
b) There are 24 different combinations in total
2) The method used to find the combinations is a tree diagram with branches extending from, the size of the Snow Cone Xpress to the choices for the glow-in-the-dark spoons
b) The method was used because of there are more than two categories each with different number of items and each unique Snow Cone Xpress option comprises of an element of each category
3) The number of Snow Cones that includes the cherry flavor and a green spoon = 2 different Snow cones
b) The answer can be arrived at by either;
i) Counting from the listed snow cone options
ii) Noting that a setting the only options for flavor as cherry and the only option for the glow-in-the-dark spoon as green and then combining both categories into one category option with the connection 'and' we have the possible combination as 3 items taking 2 at a time less the combination of the small and huge snow cones as follows;
Combinations = ₃C₂ - 1 = 2
Find FL - will mark brainliest
Answer:
7
Step-by-step explanation:
Answer:
FL = 8.4
Step-by-step explanation:
To solve this question you need to use proportions.
6/10 = x/14
Cross multiply:
6*14 = 84
84/10 = 8.4
....................
Answer:
=98m^2
Step-by-step explanation:
11×4=44
9×6=54
44+54=98
=98m^2
Kate loves to read. She wants to read all 70 books in her bookcase and has already finished 2. Write an equation to represent the time it will take for Kate to read all 70 books if she can read 3 books per month.
Answer:
simply do 70 divided by 12, then that divided by 3, in total it should take 1, 2, or 3 hours to read 3 books a month
Step-by-step explanation:
A group of tourists orders a special meal at a restaurant. The cost of each person's meal is $38. Each person will pay a $7 tip. What is the total restaurant bill for the group?
Answer: To write an equation
y= 7x+38
Answer:
A group of tourists orders a special meal at a restaurant. The cost of each person's meal is $38. Each person will pay a $7 tip. What is the total restaurant bill for the group?
Find the nth term of the following sentence
-5,-2,3,10,19
On solving the provided question, we can say that An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.
what is arithmetic sequence?Arithmetic sequences are groups of integers that are arranged in a certain order and share a common difference between each term. The tolerance, for instance, is six in the mathematical progression 3, 9, 15, 21, and 27. Arithmetic progression can also be referred to as such. a series that is produced by adding the same value repeatedly. for instance, 1, 4, 7, 10, 13, 16, 19, 22, and 25. Sequences that have an arithmetic difference between two successive phrases are known as arithmetic sequences. A progression in math with a tolerance of 2 is 2,4,6,8,10.
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. 2,4,6,8,10….is an arithmetic sequence with the common difference 2.
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If B=3x-1 and C=2x^2+x+9, find an expression that equals 2B+2C in standard form.
Answer:
[tex]4x^2 +8x + 16[/tex]
Step-by-step explanation:
2 (3x - 1) + 2 (2x^2 + x + 9)
6x - 2 + 4x^2 +2x + 18
4x^2 + 8x +16
The value of the equation is A = 2B + 2C = 4x² + 8x + 16
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of B is
B = 3x - 1 be equation (1)
And , the value of C is
C = 2x² + x + 9 be equation (2)
The value of 2B = 2 ( 3x - 1 )
2B = 6x - 2 be equation (3)
The value of 2C = 2 ( 2x² + x + 9 )
2C = 4x² + 2x + 18
Now , the equation will be
A = 2B + 2C
A = 6x - 2 + 4x² + 2x + 18
On simplifying the equation , we get
A = 4x² + 8x + 16
Therefore , the value of A is 4x² + 8x + 16
Hence , the equation is A = 4x² + 8x + 16
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If the radius of a circle is x cm, what is the measure of its circumference? write.
Answer:
2 pie over r
Step-by-step explanation:
Step-by-step explanation:
the circumference is given by:
[tex]2\pi(radius)[/tex]
in this case x is the radius hence the circumference would be:
[tex]2\pi(x)[/tex]
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Is a square root of 10 closer to 9 or 16?
Answer:
9.
Step-by-step explanation:
The square root of 10 is approximately 3.16 so it would be closer to 9.
What are the coefficients of the equation 3x 6y 13 *?
In the equation [tex]3x-6y=-13[/tex] , the coefficient of equation are , coefficient of [tex]x[/tex] is [tex]3[/tex] and the coefficient of [tex]y[/tex] is [tex]-6[/tex] .
What are Coefficients ?
The Coefficients are defined as a number that is placed with a variable. It is a integer that is multiplied by the variable and written next to it.
In simpler words, we can say that ; a coefficient is a multiplicative factor in the terms of a polynomial, a series, or any expression.
The variables that do not have a number written with them are assumed to have 1 as their coefficient.
For example, in the expression [tex]3x[/tex] , the coefficient of [tex]x[/tex] is [tex]3[/tex] , but in the expression [tex]x^{2} +3[/tex], [tex]1[/tex] is the coefficient of [tex]x^{2}[/tex].
The equation to find the coefficient is given as [tex]3x-6y=-13[/tex] ,
we see that , the numerical part with [tex]x[/tex] is [tex]3[/tex] and with [tex]y[/tex] is [tex]-6[/tex] ;
Therefore , the coefficient of [tex]x[/tex] is [tex]3[/tex] and [tex]y[/tex] is [tex]-6[/tex] .
The given question is incomplete , the complete question is
What are the coefficients of the equation 3x -6y = - 13 ?
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what is the equation of a line passing through the origin and (3a, 5g)
The equation of line passes through the points (0, 0) and (3a, 5g) will be;
⇒ y = (5g/3a) x
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 0) and (3a, 5g).
Now,
Since, The equation of line passes through the points (0, 0) and (3a, 5g).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (5g - 0) / (3a - 0)
m = 5g / 3a
Thus, The equation of line with slope 5g/3a is,
⇒ y - 0 = 5g/3a (x - 0)
⇒ y = (5g/3a) x
Therefore, The equation of line passes through the points (0, 0) and
(3a, 5g) will be;
⇒ y = (5g/3a) x
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Describe what moves you could use to create the transformation of the original image shown below.
original
The required transformations of the original image are the first translation of 7 units to the right side, then a reflection across the x-axis.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The triangle is given in the represented graph, which vertices are as follows :
(-5, -1)
(-2, -1)
(-5, -3)
The image after a translation of 7 units to the right side will be given a triangle the vertices are as follows :
(-5 + 7, -1) → (2, -1)
(-2 + 7, -1) → (5, -1)
(-5 + 7, -3) →(2, -3)
Then the image after a reflection across the x-axis will be a triangle the vertices are as follows :
(2, -1) → (2, 1)
(5, -1) → (5, 1)
(2, -3) → (2, 3)
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please help: find TZ
Heather deposits $500 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first years?
Write an equation of the line that passes through (3,-4) and is perpendicular to y=1/2x+7.
Find out the answer to 4x+12=63
Answer:
The answer to this question is x= 51/4
What is the slope of a line that is perpendicular to the line y = 1/5x + 2?
Step-by-step explanation:
It is in the form y=mx+c
so m1 = 1/5
Now the slope of the line perpendicular to the line Having slope m1 = 1/5 (m2)=?
when it is perpendicular, slope is given by
m1 x m2 = -1
1/5 x m2 = -1
m2 = -5