Answer:
The other number is 120.
Step-by-step explanation:
30×360 =90xx
x=(30×360)/90
x=120
(HCFXLCM= Product if the two
numbers)
Find the missing value(s) in the ratio table. Then write the equivalent ratios.
Violins
Cellos
8
3
24
Missing value of the table is 9.
Define equivalent ratios.When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent. If two or more ratios have the same value when reduced to their most basic form, they are said to be equal. For instance, the ratios 1:2, 2:4, and 4:8 are identical. When reduced to their most basic form, all three ratios have the same value, or 1:2. We can multiply or divide the words by a natural number to get analogous ratios to a given ratio. When two words are co-prime (have just one other common factor), we multiply them by any natural number instead of performing the division procedure.
Given Data
Violins
Cellos
8 24
3
Let missing number be x
[tex]\frac{8}{24}[/tex] = [tex]\frac{3}{x}[/tex]
When we compare two ratios, they are said to be equivalent.
If two or more ratios have the same value when reduced to their most basic form, they are said to be equal
simplifying, [tex]\frac{8}{24}[/tex]
[tex]\frac{1}{3}[/tex]
[tex]\frac{3}{x}[/tex] =[tex]\frac{3}{9}[/tex]
Missing value of the table is 9.
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In the figure below, m<2=43°. Find m<1.
m<1 =
Answer:
137°
Step-by-step explanation:
Given: ∠2 = 43°
Find: ∠1 = ?
Solution:
∠1 + ∠2 = 180°
∠1 = 180° - ∠2
∠1 = 180° - 43°
∠1 = 137°
Shantel buys a bag of cookies that contains 5 chocolate chip cookies, 6 peanut butter cookies, 5 sugar cookies and 8 oatmeal cookies. what is the probability that shantel randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie?
Answer:
6 out of 24
Step-by-step explanation:
5+5+6+8 = 24
there are 6 peanut butter cookies
In all there are 24 cookies
Since there are 6 peanut butter cookies since there are 24 cookies there is a chance of 6 and 24 of getting a peanut butter cookie.
A line goes through the points (9,8) and (-3,4).
What is the slope of the line? Show your work
Write the equation of the line in point-slope form. Show your work
Write the equation of the line in slope-intercept form. Show your work.
Answer:
[tex]\textsf{Slope}: \quad \dfrac{1}{3}[/tex]
[tex]\textsf{Point-slope form}: \quad y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\textsf{Slope-intercept form}: \quad y=\dfrac{1}{3}x+5[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Slope formula}\\\\slope ($m$) $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\end{minipage}}[/tex]
Define the given points:
(x₁, y₁) = (9, 8)(x₂, y₂) = (-3, 4)Substitute the defined points into the slope formula:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-8}{-3-9}=\dfrac{-4}{-12}=\dfrac{1}{3}[/tex]
[tex]\boxed{\begin{minipage}{4.6 cm}\underline{Point-slope formula}\\\\$y-y_1=m(x-x_1)$\\\\where $m$ is the slope and\\ $(x_1,y_1)$ is a point on the line.\end{minipage}}[/tex]
Substitute point (9, 8) and the found slope into the point-slope formula:
[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\boxed{\begin{minipage}{3.8 cm}\underline{Slope-intercept formula}\\\\$y=mx+b$\\\\where $m$ is the slope\\ and $b$ is the $y$-intercept.\end{minipage}}[/tex]
To write the equation of the line in slope-intercept form, rearrange the point-slope formula:
[tex]\implies y-8=\dfrac{1}{3}(x-9)[/tex]
[tex]\implies y-8=\dfrac{1}{3}x-3[/tex]
[tex]\implies y-8+8=\dfrac{1}{3}x-3+8[/tex]
[tex]\implies y=\dfrac{1}{3}x+5[/tex]
Reflection and Rotation
A. Preserve
B. Do not Preserve
ABC is
A. Equal to the
B. Twice the
C. Not related to the
D. Three times the
And AC is
A. 8,9, and 13
B. 7,9 and 10
C. 2, 14, and 10
D. 8,9 and 10
Reflection and rotation preserve length , so the perimeter of ΔABC is equal to the perimeter of ΔXYZ. A possible set of values for AB, BC and AC is 7,9 and 10 units.
A rotation is a transformation that occurs when a figure is turned a preset number of degrees around a fixed point (referred to as the center of rotation).
You will currently need geometry software in order to graph a rotation in general. This allows any figure to spin a certain amount of times around any point.A reflection is a kind of transformation that flips the preimage, or original shape, across the line of reflection to produce a new shape (called the image). If the form were to be reversed to graph a reflection, consider what would happen.The given figure is a triangle ABC such that it is transformed by a rotation of 90 °and reflection about y=-5.
The image thus formed will be congruent to the object and will have same sides and perimeter.
Hence the perimeter will be 26 units and the possible length of AB,BC and AC will be 7,9 and 10 units which is the only possible option as a triangle cannot have sides 2 , 14 and 10.(2+10<14)
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Sally wants to buy a used truck for her delivery business. Truck A is priced at $450 and
gets 25 miles per gallon. Truck B costs $650 and gets 35 miles per gallon. If gasoline costs
$4 per gallon, how many miles must Sally drive to make truck B the better buy?
Answer:
Step-by-step explanation:
Please help
Use the information provided to determine the value of x.
Answer:
70°
Step-by-step explanation:
The sum of the interior angles is 180. Subtract the 40 that you know about and you have 140. Since the two sides are equal, the angles opposite them are equal. 140/2 = 70
What is the solution to |x – 2| + 3 > 17?
x < –12 or x > 16
x < –14 or x > 7
–12 < x < 16
–14 < x < 7
Answer:
Option 1
Step-by-step explanation:
[tex]|x-2|<14 \\ \\ x-2<-14, x-2>14 \\ \\ x<-12, x>16[/tex]
If K=tm^(p/q) create a formula for q
The formula for q will be q = p*logm/(logK - logt)
Logarithm
A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.
Given equation:
[tex]K=tm^{(\frac{p}{q} )}[/tex]
We have to find a formula for q.
Raising the whole equation to the power of q, we get
[tex]K^q=t^qm^{p}[/tex]
We can rewrite it as,
[tex]\frac{K^q}{t^q}=m^p[/tex]
[tex](\frac{K}{t})^q=m^p[/tex]
Operating with logarithm on both sides, we get,
q*log(K/t) = p*logm
q = p*logm/log(K/t) = p*logm/(logK - logt)
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What is the product of (−7)(14) • (−6)?
Answer:
Step-by-step explanation:
-588
what is 2(10) + 2(x – 4) simplified
How to solve this question
The value of the limit of piece wise function is 2k.
What is termed as the piece wise function?A piecewise function is one whose independent variable is described by a series of intervals. It displays a different function for each interval of real numbers. The domain of a function is defined as a set of valid values for such independent variable (in the this case, x) that can be embedded into the function. The range of the a function is the collection of possible values for y that can be obtained after running the function.For the given question;
The piece wise function is defined as a;
f(x) = (x² - k²)/(x - k) , x ≠ k
f(x) = 4 - k , x = k
For the value of lim (x → k⁻) f(x);
Use function for x ≠ k, as the left hand limit of the functions is to be evaluated.
= lim (x → k⁻) f(x)
Let x = k - h, put in the function.
= lim (h → 0) ((k-h)² - k²)/(k - h - k)
= lim (h → 0) h(h - 2k)/-h
= lim (h → 0) 2k - h
Pu h = 0
= 2k
Thus, the value of the limit of piece wise function is 2k.
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Find the value of the exterior or interior angle!
The values of interior angle is 63°, 46°, 71°
What are Interior Angles?
Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three interior angles. Interior angles are sometimes defined as "angles enclosed in the interior region of two parallel lines when they are intersected by a transversal."
Put all the values equal to 180°,
=> (2x+5) + (x+17) + (3x-16) = 180°
Now, solve this equation and find x,
=> 6x + 22 - 16 = 180
=> 6x = 180 - 6
=> x = 174 / 6
=> x = 29°
Put x = 29° in the 2x + 5, x + 17, 3x - 16
2x + 15 | x + 17 | 3x - 16
2 * 29 + 15 | 29 + 17 | 3 * 29 - 16
63° | 46° | 71°
Therefore, the values of interior angle is 63°, 46°, 71°
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Please answer the questions at the top.
Answer: Let's be honest, no one knows the answer. Unless you want to pay coursehero $9.95/mo for an answer and step-by-step explanation, you're toast.
Some of my answers are absolutely amazing, and actually helpful. But some of my answers are not.
A lot of the time, Brainly's "Expert Verified Answers" are very incorrect, and even if you report it, Brainly does not care.
So, if Brainly ITSELF can't answer a question properly, well,
Simply put, your grade is toast.
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:|
What is the property of the following equation:
2/5 • 5/2 = 1
Answer:
Communitave Property
Step-by-step explanation:
Hope this helps!<3°
Which of the following expressions represents the distance between -4 and 1
a) ∣−4+1∣
b) ∣−4−1∣
c) None of the above
PLEASE HELP
find two functions define implicity by this equation. x + y^2 = 25
PHOTO ATTACHED
Answer:
y = √25 - x
y = -√25 - x
Step-by-step explanation:
x + y² = 25
-x -x
----------------------
y² = -x + 25
√y² = √-x + 25
y = √25 - x
y = -√25 - x
I hope this helps!
Cranberry juice 4 lemon lime soda 1 orange juice 2 pineapple juice 2 if the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?
The appropriate choice of ratio will be given by
She will need 6 cups of orange juice to keep the ratio in a full punch bowl the same.
What is ratio?
Ratio determines the comparision among many quantities with the same unit.
Here,
Let the number of cups of Cranberry juice be 4x,
Number of cups of lemon lime soda be x
Number of cups of orange juice be 2x,
Number of cups of pineapple juice be 2x
Total = 4x + x + 2x + 2x = 9x cups
By the problem,
9x = 27
x = [tex]\frac{27}{9}[/tex]
x = 3
Number of cups of orange juice = 2 * 3 = 6 cups
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j(x) = 3x² + 2x – 5
Find J(3)
Answer:
28
Step-by-step explanation:
J(x) = 3x^2 + 2x - 5
they have asked us to find J(3), therefore substitute x with 3 throughout the equation.
j(3) = 3*3^2 + 2*3 - 5
J(3) = 3*9 + 6 - 5
J(3) = 27 + 6 - 5
J(3) = 33 - 5 = 28
Over the last 3 evenings, Maria received a total of 74 phone calls at the call center. The second evening, she received 10 more calls than the first evening. The
third evening, she received 2 times as many calls as the second evening. How many phone calls did she receive each evening?
Number of phone calls the first evening:
Number of phone calls the second evening:
Number of phone calls the third evening:
The number of phone calls on the first evening is 16. The number of phone calls on the second evening is 26. The number of phone calls on the third evening is 32.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Over the last 3 evenings, Maria received a total of 74 phone calls at the call centre. The second evening, she received 10 more calls than the first evening. On the third evening, she received 2 times as many calls as the second evening.
The number of phone calls on the first evening:- x
The number of phone calls on the second evening:- x + 10
The number of phone calls on the third evening:- 2x
x + x + 10 + 2x = 74
4x = 74 - 10
4x = 64
x = 16
The number of phone calls on the second evening:-
x + 10
16 + 10 = 26
The number of phone calls on the third evening:-
2x = 2 x 16 = 32
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HELP LAST QUESTION
multiple the polynomials (3x^2 - 5x +7) and (2x^2 + x - 2) simply the answer
Answer:
Use the distributive property to solve this.
(3x²-5x+7)(2x²+x-2)
= 6x⁴+3x³-6x²-10x³-5x²+10x+14x²+7x-14
= 6x⁴-7x³+3x²+17x-14
the fibonacci sequence begins with 0 and then 1 follows. all subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. c
The nth term in the Fibonacci series is printed at the conclusion of the program.
What is a Fibonacci sequence?The Fibonacci numbers, also known as Fₙ, are a set of numbers in mathematics where each number is the sum of the two numbers before it. Although some authors omit the initial terms and begin the sequence from 1 and 1 or from 1 and 2, the sequence typically starts from 0 and 1.So, until a condition is satisfied, recursions involve calling a function from within a function.
The necessary function, which uses comments to describe each line, is as follows:
//This defines the function
public static int fibonacci(int n) {
//The function returns -1, if n is negative
if(n<0){
return -1;}
//The function returns the value of n, if n is 0 or 1
if(n==0||n==1){
return n;}
//If otherwise
else{
//The function returns the nth term of the Fibonacci series
return fibonacci(n-1)+fibonacci(n-2);
}
}
Therefore, the nth term in the Fibonacci series is printed at the conclusion of the program.
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The correct question is given below:
The Fibonacci sequence begins with 0 and then 1 follows. All subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. Complete the fibonacci() method, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1.
Ex: If the input is: 7
the out put is :fibonacci(7) is 13
Note: Use recursion and DO NOT use any loops. // is this mean i don't have to use loops? for (int i = 1; i<= n; ++i)
import java.util.Scanner;
public class LabProgram {
public static int fibonacci(int n) {
/* Type your code here. */
public static void main(String[] args) {
Scanner scnr = new Scanner(System.in);
int startNum;
System.out.println("Enter your number: ");
startNum = scnr.nextInt();
System.out.println("fibonnaci(" + startNum + ") is " + fibonacci(startNum));
}
}
Help complete Kohana’s pattern by entering rules to transform each figure from the table?
Answer:
Step-by-step explanation:
hshshaahhs
Because 7 and 17 are both prime numbers all whole numbers that end in 7 are prime is Alice correct u must give a reason
Answer: Is 17 a prime number? Yes, 17 is a prime number because it only has two factors, 1 and 17.
Find the midpoint of the line segment with endpoints P1(11/2,3/8) and P2 (-7/2,5/8)
To find:
The midpoint of the line segment with the endpoints P1(11/2,3/8) and P2 (-7/2,5/8).
Solution:
The midpoint formula is:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Put the values:
[tex]\begin{gathered} (\frac{\frac{11}{2}-\frac{7}{2}}{2},\frac{\frac{3}{8}+\frac{5}{8}}{2})=(\frac{\frac{4}{2}}{2},\frac{\frac{8}{8}}{2}) \\ =(\frac{2}{2},\frac{1}{2}) \\ =(1,\frac{1}{2}) \end{gathered}[/tex]Thus, the midpoint is (1, 1/2).
I'm in math 1 honors and I forgot a subject to far into the grade and I need help solving a couple questions its the average rate of change in weeks
Week
x
Number of Animals
x f(x)
1, 62
2, 73
3, 78
4, 86
5, 91
What was the average rate of change from week 1 to week 4?
how would i go about solving this
The average rate of change from week 1 to week 4 is 3 animals per week.
What is mean?It should be noted that a mean simply refers to the average set of numbers that are given.
This will be illustrated as thus:
The total number of rate of change animals from week 1 to week 4 will be:
= (73 - 62) + (78 - 73) + (86 - 78)
= 11 + 5 + 8.
= 24
Therefore, the average will be:
= Total changes / Number of weeks
= 24 / 8.
= 3
Therefore, there's an average of 3 animals added every week.
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1. A.
a_____________
is a fraction where
a and/or b are fractions and b is not equal to 0.
pitel
Rational fraction is a fraction where a and/or b are fractions and b is not equal to 0.
What is rational fraction?Any function that can be expressed mathematically as a rational fraction—an algebraic fraction in which both the numerator and the denominator are polynomials—is referred to as a rational function. The polynomials' coefficients don't have to be rational numbers; they can be found in any field K. Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere.
Given Data
a_____________ is a fraction where a and/or b are fractions and b is not equal to 0.
A rational fraction is a fraction where a and/or b are fractions and b is not equal to 0.
Example 1. f(x) =[tex]\frac{x}{x-3}[/tex]
The denominator has only one zero, x = 3.
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Adrian has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $322.09.
He buys 3 bicycle reflectors for $9.54 each and a pair of bike gloves for $22.01.
He plans to spend some or all of the money he has left to buy new biking outfits for $61.82 each.
Use the drop-down menu below to write an inequality representing oo, the number of outfits he can buy while staying within his budget.
Answer:
4 outfits
Step-by-step explanation:
So to find out how much he has left after all his purchases to buy new biking outfits we can add:
9.54 x 3 = 28.62
22.01 + 28.62 + 322.09 = 372.72
Now we subtract his budget by how much he has already spent:
620 - 372.72 = 247.28
He has $247.28 left for outfits so we can divide 247.28 by $61.82 (the amount per outfit) to find how many he can buy:
247.28 / 61.82 = 4
Adrian can buy 4 outfits.
A particle moves in a circular orbit x^2+y^2=16. As it passes through the point (2,2sqrt3), its y-coordinate decreases at a rate of 3 units per second. at what rate is x-coordinate changing?
The rate at which the x-coordinate is changing is 3√3 units per second .
In the question ,
it is given that
the equation of the particle moving in the circular orbit is x²+y²=16
given the y coordinate decreases at 3units per second
So, dy/dt = -3.
to find the rate at which the x-coordinate is changing , we will differentiate the given equation.
Differentiating the equation x²+y²=16 with respect to t , we get
d/dt(x²+y²) = d/dt(16)
2x(dx/dt) + 2y(dy/dt) = 0
2x(dx/dt) = -2y(dy/dt)
Dividing both sides by 2 ,
we get ,
x(dx/dt) = -y(dy/dt)
[tex]\frac{dx}{dt} =\frac{-y(\frac{dy}{dt}) }{x}[/tex]
As the particle is passing through the point (2,2√3) , So, the point will satisfy the equation.
Substituting the value of x=2 , y=2√3 and dy/dt= -3 ,
we get ,
dx/dt = ((-2√3)*(-3))/2
= (6√3)/2
= 3√3
Therefore , the rate at which the x-coordinate is changing is 3√3 units per second .
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What value of c in the equation 7c-cy=10x will give a line
with slope +5?
The value of c in the equation 7c - cy = 10x will give a line with slope +5 is -2.
We can rewrite the equation as:-
-cy = 10x - 7c
y = (-10/c) x + 7
Now the equation is in slope-intercept form which is given by:-
y = mx + b
Where,
m represents the slope of the line
b represents the y-intercept of the line
(x,y) represents ordered pair of each point of the line
Comparing both the equations, we get
m = -10/c
b = 7
We have to get m = +5
Hence, equating both the values of m, we get
5 = -10/c
c = -10/5
c = -2
Hence, the value of c is -2.
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