According to the solving this implies that the 1:3 ratio of 60 is 20.
What is ratio?A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon proportion is eight to six. Similarly, the lemonade and orange proportion is 6:8, while the orange to fruit weight ratio is 8:14.
How do I calculate the ratio?Ratios are used to compare the two quantities by dividing them. If you want to compare one data point (A) to another (B), your formula would be A/B. This signifies that you are dividing data A by data B. If A is five and B is ten, your ratio will be 5/10.
Briefing:Let us find 1/3 of 60.
We can write 1/3 of 60
= 1/3 × 60.
= 20.
According to the solving this implies that the 1:3 ratio of 60 is 20.
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We can go to the amusement park or the library. the amusement park is too expensive, so we must go to the library.
Based on the logical fallacy given by saying that they can either go to the amusement park or the library, the category is False dilemma.
What is a false dilemma?A False dilemma is a logical fallacy where the speaker makes it seem as though there are no other options to be considered. The possibility of there being other options is therefore ignored.
In the above thought, the speaker says that they can either go to the amusement part or to the library. They then pick the library because the amusement park is too expensive.
This is a logical fallacy because there were other places they could have gone to that were not even considered.
In conclusion, the statement above that presents only two choices of places to go which were the library or the amusement park is an example of a false dilemma.
Rest of the question:
Identify the logical fallacy in the given statement.
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How many ways are there to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among $4$ people if each person can receive any number of bracelets, including $0$? Each bracelet must be given to someone.
There are 256 ways to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among $4$ people
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
We are given that for bracelet Yellow, green,black and red
We need to find the number of ways in which
Each person receive any number of bracelet.
Number of peoples=4
If each person receive exactly one bracelet then , the number of ways= 4 x 3 x 2 x 1 = 24
If all bracelet received by one person and other have no bracelet 4 ways
If one person receive 2 bracelet and other two received by any other=
144 way.
If two person gets two bracelet each and other two have no bracelet= 36 ways
Same, one person received three bracelet and one received by any of them =48 ways
So Total number of ways=24+4+144+48+36=256 ways
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PLEASE HELP Mr. Ingram asked his students to construct an equilateral triangle inscribed in a circle.
The sequences of steps Euna and Jason used in their constructions are shown below.
Answer Choices: Only Euna, Only Jason, Both Jason and Euna, Neither Jason nor Euna, It is impossible to determine who
The correct was done by Jason
what is construction?Geometric construction is a process of constructing geometric figures using geometric tools such as a straightedge (ruler), a compass, and a pencil.
Given:
We have some sequence to construct an equilateral triangle
So, Jason are more relatable in constructing an equilateral triangle.
1. Use a compass to draw circle O
2. Use a straightedge to draw a diameter of the circle. Label the endpoints P and S.
3. Without changing the compass width draw a full circle centered at S
4. Label the points of intersection of the two circles R and Q
5. Use a straightedge to draw segments joining points P, Q, and R to form the equilateral triangle PQR.
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f(x)=10 x-10 . Find each value.
(f⁻¹ ⁰ f)(0.2)
An inverse function is one that reverses the action of another function.
The value of this function is y = 0.2.
What is meant by inverse ?Inverse operations are mathematical manipulations in which one operation reverses the action of the other, such as addition and subtraction, multiplication and division. In most cases, the inverse of a number is its reciprocal, i.e. [tex]x ^{- 1[/tex] = 1 / x. A number and its inverse (reciprocal) product equals one.
An inverse function is one that reverses the action of another function. A function g is the inverse of a function f if and only if y = f(x) and x = g. In other words, using f and then g is equivalent to doing nothing.
Let the given function be f(x) = 10x - 10
substitute the value of x = 0.2, then we get
f(0.2) = 10(0.2) - 10
simplifying the above equation be
f(0.2) = -8
y = 1/10(-8) +1
y = 0.2
Therefore, the value of y = 0.2.
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Condensing Logarithms:
[tex]\frac{log2}{2} + \frac{log4}{3} =[/tex]
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{\log(2)}{2}+\cfrac{\log(4)}{3}\implies \cfrac{1}{2}\log(2)+\cfrac{1}{3}\log(4)\implies \log(2^{\frac{1}{2}})+\log(4^{\frac{1}{3}}) \\\\\\ \log(2^{\frac{1}{2}})+\log( ~~ (2^2)^{\frac{1}{3}} ~~ )\implies \log(2^{\frac{1}{2}})+\log(2^{\frac{2}{3}})\implies \log( ~~ 2^{\frac{1}{2}}\cdot 2^{\frac{2}{3}}~~) \\\\\\ \log( ~~ 2^{\frac{1}{2}+\frac{2}{3}} ~~ )\implies \log( ~~ 2^{\frac{3+4}{6}} ~~ )\implies \log (~~ 2^{\frac{7}{6}} ~~ )\implies {\LARGE \begin{array}{llll} \log(\sqrt[6]{128}) \end{array}}[/tex]
Carlo, having a mass of 50kg, running to the next classroom for his next subject. If his running speed is 10m/s, what is his kinetic energy?
Answer:
Kinetic energy = 2500 J
Step-by-step explanation:
To calculate the kinetic energy of an object, we can use the following formula:
[tex]\boxed{E_k = \frac{1}{2}mv^2}[/tex],
where:
[tex]E_k[/tex] = kinetic energy
m = mass of the object
v = speed of the object
In this question, we are told that Carlo's mass is 50 kg and his speed is 10 m/s. Using this information and the formula above, we can calculate Carlo's kinetic energy:
[tex]E_k = \frac{1}{2} \times 50 \times (10)^2[/tex]
[tex]= \frac{1}{2} \times 50 \times 100[/tex]
[tex]= \bf 2500 \: J[/tex]
Therefore, Carlo's kinetic energy is 2500 J.
Mackenzie bought a 10-pound bag of flour. She used some of the flour to bake loaves
of bread.
How can Mackenzie find the amount of flour she used?
Mackenzie can find the amount of flour used by using subtraction. She should subtract the flour left in the bag from 10 pounds.
Subtraction is one of the four basic mathematical operations.
It is used to calculate the amount left after a quantity is reduced.
When two variables are subtracted we use the following notation '-' .
Let us consider two variables x and y such that x is subtracted from y then mathematically it is denoted by y - x .
Mackenzie used some flour to bake bread. To calculate the amount she used from 10 pound bag , first she will have to find the amount of flour left in the bag.
Let a pounds of flour is left (a<10).
So to calculate the amount of flour used by her we simply subtract a from 10 pound.
Hence flour left is (10 - a) pounds.
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Please help me please help me
please help!. i'll give 50 brainly points
Daniel’s parents were planning a big birthday party for him.
His parents spent $2.29 on each of 8 goodie bags. How much did they spend on goodie bags? Show your work.
They spent $160 to rent a bounce house for 8 hours. How much is the hourly rate for the rental? Show your work.
If the parents spent a total of $209.48 on the party, how much more did they spend than what was spent in parts (a) and (b)? Show your work.
show your work on each questions please!
Answer: A. 18.32
B. 20
C. 31.16
Step-by-step explanation:
2.29 times 8=18.32 dollars spent on goodie bags
160 divided by 8=20 dollars per hour
160+18.32=178.32
1209.48-178.32= 31.16 more than what was spent in parts a and b.
99999999999999999999999999999999999999999999999999999999999999999999999x0
Answer:
Stop please. You use brainly for answering and asking questions.
Kelly has 306 stars she sells 56 how many are left?
Answer:
250
Step-by-step explanation:
Take 56 away from 306
306 - 56
=250
Help what are the answers to monster challenge puzzle 34!!!
odd Answer:
make icecubes then drop them in hydrochloric acid
Step-by-step Step-by-step Step-by-step Step-by-step explanation
what do i write in the blank boxes?
Answer:
the answer
Step-by-step explanation:
you got to write the answer in the blank boxes
The telephone company offers two billing plans for local calls. Plan 1 charges $33 per month for unlimited calls and Plan 2 charges $16 per month plus $0.05 per call.
A use an inequality to find the number of monthly calls for which Plan 1 is more economical than plan 2
B. Explain the meaning of the answer to part A
Answer:
Part A
Plan 1
33
Plan 2
0.05x+16
0.05x+16=33
0.05x=17
17/0.05=340
341 calls would be enough.
Part B
AN easy way of doing this is by setting the equations equal to each other and then adding a variable to one side that would be the amount of calls made on plan B. Once you get rid of the initial price of 16 dollars, then you have 17 dollars to be set equal to plan B. You divide 17 by 0.05, which gives you 340, meaning that to make both plans equal to each other, you would have to make 340 calls. To make Plan 1 more economical, you would have to add 1 more call to set plan 2 0.05 cents more than Plan 2.
Step-by-step explanation:
$750, annual rate:10 1/2% what is the time to double & the amount after 10 years?
well, let's start like the crab, from the back, what would the amount be after 10 years, with a 10.5% annual rate, compounding annually of course.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 10.5\%\to \frac{10.5}{100}\dotfill &0.105\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=750\left(1+\frac{0.105}{1}\right)^{1\cdot 10} \implies A=750(1.105)^{10}\implies \boxed{A \approx 2035.56}[/tex]
when will it double? well, hmmm 750 doubled will be 1500, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 10.5\%\to \frac{10.5}{100}\dotfill &0.105\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years \end{cases}[/tex]
[tex]1500=750\left(1+\frac{0.105}{1}\right)^{1\cdot t} \implies \cfrac{1500}{750}=(1.105)^t\implies 2=1.105^t \\\\\\ \log(2)=\log(1.105^t)\implies \log(2)=t\log(1.105) \\\\\\ \cfrac{\log(2)}{\log(1.105)}=t\implies 6.94\approx t\qquad \textit{about 6 years and 344 days}[/tex]
Based on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy. There are more employees for the workplace safety policy than against the workplace safety policy. There is an equal number of part-time employees and full-time employees. There are more part-time employees against the workplace safety policy than for the workplace safety policy.
Answer:
Two and three
Step-by-step explanation:
solve the simultaneous equation
2x + 3y = 7
3x + 2y = 8
Answer:
(2, 1 )
Step-by-step explanation:
2x + 3y = 7 → (1)
3x + 2y = 8 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate x
6x + 9y = 21 → (3)
- 6x - 4y = - 16 → (4)
add (3) and (4) term by term to eliminate x
0 + 5y = 5
5y = 5 ( divide both sides by 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
2x + 3(1) = 7
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 1 )
PleSeee help ASAP now Tysm
Answer:
BD = [tex]\sqrt{82}[/tex]
Step-by-step explanation:
calculate BD using the distance formula
BD = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = B (- 4, 6 ) and (x₂, y₂ ) = D (- 3, - 3 )
BD = [tex]\sqrt{(-3-(-4))^2+(-3-6)^2}[/tex]
= [tex]\sqrt{(-3+4)^2+(-9)^2}[/tex]
= [tex]\sqrt{1^2+81}[/tex]
= [tex]\sqrt{1+81}[/tex]
= [tex]\sqrt{82}[/tex]
≈ 9.1 ( to 1 dec. place )
Answer:
9.055385 rounded to 6 decimal places
Step-by-step explanation:
The distance between 2 points in a 2_D Cartesian coordinate can be determined by the distance formula
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
where [tex](x_1, y_1) \mathrm{\;and\:} (x_2, y_2)[/tex] are the coordinates of the two points
This is also called Euclidean distance between the two points
Here coordinates of B are (-4, 6) and those of D are (-3, -3)
So distance between them
[tex]d = \sqrt {(-3 - (-4))^2 + (-3 - 6)^2}[/tex]
[tex]= \sqrt {(1)^2 + (-9)^2}[/tex]
[tex]= \sqrt {{1} + {81}}[/tex]
[tex]= \sqrt {82}[/tex]
[tex]= 9.055385[/tex] rounded to 6 decimal places
Show your steps for full credit. Show your answer on a number line and in interval notation
8 ≤ 2m – 4 < 16
Answer:
[tex] \large \bf \implies{(6,10)}[/tex]
Step-by-step explanation:Step 1) : Solve the inequality
[tex] \bf \longrightarrow{8 \leqslant 2m - 4 < 16}[/tex]
Separate compound inequalities into system of inequalities
[tex] \begin{cases}2m - 4 \geqslant 8 \\2m - 4 < 16\end{cases}[/tex]
[tex] \sf\underline{ \underline{2m - 4 \geqslant 8 \: and \: 2m - 4 < 16}}[/tex][tex]1) \: \: \: \: \: \large\boxed{ \tt2m - 4 \geqslant 8}[/tex]
Rearrange variables to the left side of the equation[tex] \bf \longrightarrow2m \geqslant 8 + 4[/tex]
Calculate the sum or difference[tex] \bf \longrightarrow2m \geqslant 12[/tex]
Divide both sides of the inequality by the coefficient of variable[tex]\bf \longrightarrow \: m \geqslant \frac{12}{2} [/tex]
Cross out the common factor[tex]\bf \longrightarrow \: m \geqslant 6[/tex]
[tex]2) \: \: \: \: \: \large \boxed{ \sf2m - 4 < 16}[/tex]
Rearrange variables to the left side of the equation[tex]\bf \longrightarrow2m < 16 + 4[/tex]
Calculate the sum or difference[tex]\bf \longrightarrow2m < 20[/tex]
Divide both sides of the inequality by the coefficient of variable[tex]\bf \longrightarrow \: m < \frac{20}{2} [/tex]
Cross out the common factor[tex]\bf \longrightarrow \: m < 10[/tex]
[tex] \pink{ \rule{7cm}{0cm}}[/tex]
[tex]\bf \longrightarrow \: m \geqslant 6 \: and \: m < 10[/tex]
Find the intersection[tex]\bf \longrightarrow \boxed{ \sf6 \leqslant m < 10}[/tex]
Step 2) : Graph on a number line attached above
Step 3) : Express solution set in interval notation
[tex]\bf \longrightarrow {\boxed {\underline {\underline{{( \bold{6,10)}}}}}}[/tex]
Suppose that x and y vary inversely. Write a function that models the inverse variation.
x=13 when y=17
According to the question, to calculate the relationship function model of the given equations which are as follows:
[tex]x=13[/tex] and [tex]y=17[/tex]
And the condition is the function is inverse in nature that means they vary inversely. And it can be represented as:
Equation: [tex]y = \frac{k}{x}[/tex]
[tex]17 = \frac{k}{13}[/tex]
[tex]k = 221[/tex]
Substituting the values to get the final expression:
[tex]y = \frac{221}{x}[/tex]
[tex]xy = 221[/tex]
Substitute the value of 'k' in the original equation. And the final expression is: [tex]xy =221[/tex]
What is function?
In mathematics, function can be defined as an expression or the rule or the law. It defines the relationship between dependent variable and the independent variable.
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Identify the percentage of growth or decay for the exponential function y = 104(2.05) x
The percentage of decay for the exponential function: y = 104(2.05) x is 105%.
How to illustrate the information?This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is 2.05 which is 1.05 than 1, representing growth.
The formula for exponential decay is y=a(1-r)x.
r is the decay rate, expressed as a decimal.
In this case, r = 2.05 - 1 = 1.05 which represents 105%.
Therefore, the percentage of decay for the exponential function is 105%.
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Lindsey and Eduardo are waiting for an elevator on the ground floor. First, Lindsey boards an elevator and starts going up at a rate of 130 meters per minute. A few moments later, when Lindsey's elevator has traveled 190 meters, Eduardo boards an express elevator and starts going up at a rate of 240 meters per minute. In how long will Eduardo pass Lindsey?
Answer:
See below
Step-by-step explanation:
Lindsey height = 190 + 130 m ( m = minutes)
Eduardo height = 240 m
Equate them
190 + 130 m = 240 m
190 = 110 m
190/ 110 = 1 8/11 minutes after Eduardo starts
10. Justin goes to the mall with $120. He spends $54.67 on clothes. $13.49 on school supplies, and $8.14 on lunch. How much does he have left?
Answer:$43.70
Step-by-step explanation:
120−54.67−13.49−8.14
=$43.70
Answer:
43.7
Step-by-step explanation:
120-54.67-13.49-8.14=43.7$
11. How many dots are in the nth term of the following sequence? term: 3,5,7,9 n+2 n²+2 2n+1 n+3
The nth term of the sequence is 2n + 1
The formula known as the nth term allows us to locate any term in a series. The letter n stands for number. By changing the term number's value, we can create a series that uses the nth term (n).
The sequence 3,5,7,9.....
n =1
3 = 1 + 2
3 = 1 + (2×1)
n = 2
5 = 1 + 4
5 = 1 + (2×2)
n = 3
7 = 1 + 6
5 = 1 + (2×3)
n = 4
9 = 1 + 8
9 = 1 + (2×4)
9 = 1 + 8
Therefore, the expression for the Nth is 1+ 2n or 2n + 1
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Write the decimal expansion for 2/33
Answer:
0.0606060606 hope that's right if not I'm sorry
1. In each of the following, express x in terms of the other variables.
(i) 3x - 2y = 4
(ii) 2x-b-4c
(iv) 5(x-3)= 2y
(v) 3y=-2
(iii) 5x -4 = I
(vi) xy = xz + yz
'x' in each expression is as follows:
x = (4+2y)/3x = (b + 4c)/2x = (2y + 15)/5y = -2/3x = (l + 4)/5xy/xz = yzWhat are variables?A variable in mathematics is an alphabet or term that stands in for an unknown quantity, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are used. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants. Typically, it is a letter like x or y. Example: The variable in x + 2 = 6 is x. We can find x = 4 by solving the x + 2 = 6 situation.So, the value of 'x' in each expression:
(i) 3x - 2y = 4 ⇒ 3x = 4+2y ⇒ x = (4+2y)/3(ii) 2x-b-4c ⇒ 2x = b + 4c ⇒ x = (b + 4c)/2(iii) 5(x-3)= 2y ⇒ 5x = 2y + 15 ⇒ x = (2y + 15)/5(iv) 3y = -2 ⇒ y = -2/3(v) 5x -4 = I ⇒ 5x = l + 4 ⇒ x = (l + 4)/5(vi) xy = xz + yz ⇒ xy/xz = yzTherefore, 'x' in each expression is as follows:
x = (4+2y)/3x = (b + 4c)/2x = (2y + 15)/5y = -2/3x = (l + 4)/5xy/xz = yzKnow more about variables here:
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Round this number to the
nearest thousandth.
1.9541
Answer:
1.954
Step-by-step explanation:
4 is the thousandth and we wouldn’t round up because of 1
Answer: 1.954
1.9541 is to low to round up to the thousandths so it needs to be rounded down, giving the answer 1.954.
If KL = 8x - 5 and LM = 6x + 3, what is KL?
KL = LM To find the measures of KL
8x-5 = 6x+3
-6x -6x 8(4) - 5
___ ___ 32 - 5
2x - 5 = 3 27
+5 +5
__ __ To find the measure of LM
2x = 8 6(4) + 3
--- --- 24 + 3
x = 4 27
Find two rational numbers between −7/2 and 4/3
Two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.
The two given rational numbers are −7/2 and 4/3.
What are rational numbers?A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.
Now, two rational numbers between −7/2 and 4/3 can be found as follows:
Make denominators the same by taking the LCM of denominators.
LCM of 2 and 3 is 6.
Change denominators of both the rational numbers to 6 by multiplying the same number by numerator and denominator.
So, the rational numbers become −21/6 and 8/6.
Now, two rational numbers between −21/6 and 8/6 are -20/6 and 7/6.
Therefore, two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.
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which is bigger 35.7 or 35.68