The value of the part of 20 that is 46% is 9.2.
How to determine the percentage of a number?Percentage is simply a number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given the data in the question;
Percentage = 46%Whole = 20Part = ?Plug the given values into the above formula and solve for the part.
Percentage = ( Part / Whole ) × 100%
46% = ( Part / 20) × 100%
46/100 = ( Part / 20 ) × 100/100
46/100 = ( Part / 20 ) × 1
46/100 = Part / 20
Cross multiply
46 × 20 = Part × 100
920 = Part × 100
Part = 920/100
Part = 9.2
Therefore, 9.2 is 46 percent of 20.
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
The values of x are x = 13 and x = 1 when we have [tex](x-7)^{2} = 36[/tex].
According to the question,
We have the following information:
[tex](x-7)^{2} = 36[/tex]
Now, we will solve the expression on the left hand side using an identity.
The identity that will be used here is [tex](a-b)^{2}= a^{2}+ b^{2} -2ab[/tex].
In this case, we have a = x and b = 7.
[tex]x^{2}+ 7^{2} -2x*7[/tex] = 36
[tex]x^{2} +49-14x = 36[/tex]
Moving 36 from the right hand side to the left hand side:
[tex]x^{2} +49-14x-36 = 0\\x^{2} -14x+13 = 0[/tex]
Now, to find the values of x, we will factorize this expression by splitting the middle term such that the sum of two terms is -14x and their multiplication is 13[tex]x^{2}[/tex].
The two terms will be -13x and -x.
[tex]x^{2} -13x-x+13 = 0\\[/tex]
Taking x common from the first two terms and -1 common from the last two terms:
x (x-13) -1(x-13) = 0
Taking (x-13) as common:
(x-13) (x-1) = 0
x-13 = 0 and x-1 = 0
x = 13 and x = 1
Hence, the values of x are 13 and 1.
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the graph of a function f is shown above. at which value of x is f continuous, but not differentiable?
a) a
b) b
c) c
d) d
e) e
Answer:
d
Step-by-step explanation: d
how do you Graph the line y=4x-1
Answer: Look at photo. Your y intercept is -1 and the line goes up 4 and right 1.
Step-by-step explanation: Look at your last number, the -1. That should be on the y axis. Put that number there and then take 4x which can also be read as 4/1x and from the point of -1, go up 4 and right 1.
-27 = -w/5 solve for w simplify your answer as much as possible
Answer:
w = 135
Step-by-step explanation:
-27 = -w/5
multiply both sides by 5:
5(-27) = 5(-w/5)
- 135 = -w
divide both sides by -1:
- 135/-1 = -w/-1
w = 135
For one journey from London to Marseille, the ratio number of adults: number of children = 11: 2. There were 220 adults in total on this journey. All of the children and 70% of the adults paid the standard fare. The remaining adults paid the premier fare. Calculate the total of the fares paid by the adults and the children.
Answer: 174
Step-by-step explanation: ok so we divide 220 by 11 to get 20 and times that by two to get 20 children on this journey then see that all children paid and 70 percent of adults so 70 percent of 220 is 154 and then 154 + 20 is 174 so thats the number of fares paid
Determine the approximate value of d.
4.29 cm
5.32 cm
6.24 cm
7.16 cm
Approximate value of d = 4.29 cm.
What is cosine rule?The Cosine Rule states in trigonometry that the square of the length of any side of a given triangle is equal to the sum of the squares of the other sides minus twice the product of the other two sides multiplied by the cosine of angle contained between them. Cosine rule is also known as the law of cosines or the Cosine Formula.
In Δ ADR , AR = d, DR = 8 cm. AD = 5 cm. ∠D = 28°
By using cosine rule,
AR² = AD² + DR² - 2 AD ×DR CosD
AR² = 5² + 8² - 2×(5)×(8) × Cos 28°
AR² = 25 + 64 - 80 Cos 28°
AR² = 89 - 80 Cos 28°
AR² = 89 - 80 × (0.8829)
AR² = 89 - 70.6358
AR² = 18.3641
AR = 4.29 cm. = d
Thus, approximate value of d = 4.29 cm.
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Determine if √64 is rational or irrational and give a reason for your answer.
A group of friends go to the store buy some fruit. marcus buys 5 pounds of apples for $13.75 at this rate ,how many pounds of apples can marcus buy with $22
Answer:
He can buy 8 pounds
Step-by-step explanation:
13.75/5=2.75
22/2.75=8 or 8 pounds the to check your answer 2.75x8=22
Heston is thinking of a fraction equivalent to 6/7.
The numerator is greater than 20 and the denominator is less than 30.
What fraction is Heston thinking of?
i need help with this. it’s just geometry
Answer:
27. 48°, 132°
28. The expressions resolve to both angles being 0°, a contradiction to the lines being distinct.
Step-by-step explanation:
Given a figure showing parallel lines crossed by a transversal with marked angles, you want to know (27) the measures of consecutive interior angles that have a ratio of 4:11, and (28) the contradiction in corresponding angles being marked (60-2x)° and (2x-60)°.
27. Algebra.The two marked angles are consecutive interior angles, so are supplementary. Using x for the smaller angle value, we can write the equation ...
x/(180-x) = 4/11 . . . . . the given ratio of the two angles
Multiplying by 11(180-x) gives ...
11x = 4(180-x)
15x = 4(180) . . . . add 4x and simplify
x = 48 . . . . . . . . divide by 15
Then the obtuse angle is ...
180 -48 = 132
The measures of the angles are ∠1 = 48°, ∠2 = 132°.
2. Error Analysis.The two marked corresponding angles are congruent, so ...
(60 -2x)° = (2x -60)°
4x = 120 . . . . . . . . . . . divide by °, add 2x+60
x = 30 . . . . . . . . . . divide by 4
60 -2x = 60 -2(30) = 0
2x -60 = 2(30) -60 = 0
The marked values require the angles to be 0°, which means the transversal is coincident with each of the "parallel" lines.
The given angle values require the lines not to be distinct, as the diagram shows they are.
Marilyn purchased 2,000 shares of stock for $25.43 per share. She sold them for $44.10 per share. Express her capitol gain to the nearest tenth of a percent.
Marilyn's capital gain is 73%.
How to find her capital gain?
Marilyn purchased 2,000 shares
$25.43 per share
She sold them for $44.10 per share
Solution:
Capital gain per share = 44.10 - 25.43 = $18.67
Capital gain for 2,000 shares = 2000*18.67
= $37,340
Her capital gain is $37,340.
The price of 2000 shares she bought initially = 2,000*25.43
= $50,860
Her capital gain in percentage = 37,340/50,860*100
= 73.41
That is,
73%
Her capital gain is 73%.
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2 $ 11 OA 1 2 3 4 5 -2 4 4 2 OB $ 4 5 2 1 C. 1 2 3 4 5 3 2 D.
C is the correct option
Here, we want to selct which of the plotted points in the graphs correctly represent the given points
The given points are (2,21/2) and (-1 1/2,-4)
As we can see on the graphs, there are four different marked points
We just need to select the graph that contains the points
What the point (2, 2 1/2) means is that we have point 2 on the x-axis and trace point 2 1/2 on the y-axis
This point is missing in the first two options
However, on the third option C, we can see this option
We can check if the second option is there too
(-1 1/2 , -4)
We have -1 1/2 on the x-axis and -4 on the y-axis
We can see this on the third option too
So option C is our correct answer
x-2=4(x+1) divided by 2
Simplify before multiplying 15/20 x 2/5
Thanks!
Answer:
3/10 hope this helps you answer your question!
What is 80,023 written in scientific notation? A. 8.0023 x 10^3 B. 8.0023 x 10^4 C. 8.0023 x 10^5D. 8.0023 x 10^6
ANSWER
[tex]B\text{. 8.0023 }\cdot10^4[/tex]EXPLANATION
We want to write the number given in scientific notation. The number is 80,023
Putting a number in scientific notation involves writing that number as a product of a number between 1 and 10 and a power of 10.
We do this by moving the decimal point from behind the last digit of the number (3) to just after the first digit (8).
We move the decimal point 4 times to the left, that is why the power of 10 is +4.
So, we have that 80,023 becomes:
[tex]80,023\text{ = 8.0023 }\cdot10^4[/tex]
Another music store rents trombones for $30 per month plus a yearly fee of $48. Which deal is better? Should Maria change her rental plan? Part A: Maria needs a trombone for only 12 months. Renting the trombone costs $34 per month. She can buy the trombone for $495. Should she buy or rent the trombone? Explain. How much does she pay? dont have to answer part a but u can if u want i only put it there so u can see it all, thank you friend: )
Please, I need this ASAP! I'll give brainliest to a quick informative answer, thank you!!!
Step-by-step explanation:
Another music store rents trombones for $30 per month plus a yearly fee of $48. Which deal is better? Should Maria change her rental plan?
Part A: Maria needs a trombone for only 12 months. Renting the trombone costs $34 per month. She can buy the trombone for $495. Should she buy or rent the trombone? Explain.
Option 1, SHOP 1: [at $30 a month] When Maria rents for a year, or x = 12 months
This can be described by the equation:
30x + 48
where x = number of months rented
30(12) + 48
= $408
___________
Option 2, SHOP 2: [at $34 a month] When Maria rents for a year, or x = 12 months
This can be described by the equation:
34x + 48
where x = number of months rented
34(12) + 48
= $456
___________
Option 2, buy: for $495
ANALYSIS:
Because Maria only needs the instrument for a year (12 months), Maria would do best to rent her instrument from option 1, shop 1 (renting at $30 a month + $48 yearly fee). Purchasing the instrument is the most costly.
Should Maria need the instrument longer than a year, then the option preference would change.
Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open intervals on which the function is decreasing, if any. (c) open intervals on which the function is constant, if any.
The behaviors of the function in the intervals is given as follows:
a) Increasing: (-∞, -4) and (-3, -2).
b) Decreasing: (-4, -3) and (-2, ∞).
c) Constant: No interval.
When a function is increasing, considering it's graph?Considering the graph of the function, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y increases.
Hence, in the context of this problem, considering the given graph the function is increasing on these following intervals:
(-∞, -4).(-3, -2).When a function is decreasing, considering it's graph?Considering the graph of the function, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.
Hence, in the context of this problem, considering the given graph the function is decreasing on these following intervals:
(-4,-3).(-2, ∞).When a function is constant?A function is constant when the graph is an horizontal line, that is, when changing the value of x causes no effect to the value of y, it remains constant.
Hence, there are no intervals in which the graph of the function is constant.
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Simplify the expression. Show your work.
[tex]\sqrt{\frac{4x^2}{3y} }[/tex]
[tex]\sqrt{\cfrac{4x^2}{3y}}\implies \cfrac{\sqrt{4x^2}}{\sqrt{3y}}\implies \cfrac{\sqrt{2^2x^2}}{\sqrt{3y}}\implies \cfrac{2x}{\sqrt{3y}}[/tex]
Answer:
[tex]\frac{2x}{\sqrt{3y} }[/tex]
Step-by-step explanation:
Hope that's helps.
PLEASE HELP ASAP!!!!!!!!!!!!!!!
The table describes the quadratic function h(x).
x h(x)
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
What is the equation of h(x) in vertex form?
h(x) = (x + 2)2 − 3
h(x) = (x + 1)2 − 2
h(x) = (x − 1)2 + 2
h(x) = (x − 2)2 + 3
The quadratic function of h (x) in vertex form will be;
⇒ h(x) = (x + 2)² − 3
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The values of x and h (x) for the quadratic function is given as;
x = -3, -2, -1, 0, 1, 2, 3,
h (x) = -2, -3, -2, 1, 6, 13, 22
Now,
Let the quadratic function is,
h (x) = ax² + bx + c
Substitute x = -3 and h (x) = -2 in above quadratic function we get;
h (x) = ax² + bx + c
- 2 = a × (-3)² + b × -3 + c
- 2 = 9a - 3b + c
And, Substitute x = -2 and h (x) = -3 in above quadratic function we get;
h (x) = ax² + bx + c
- 3 = a × (-2)² + b × -2 + c
- 3 = 4a - 2b + c
And, Substitute x = -1 and h (x) = -2 in above quadratic function we get;
h (x) = ax² + bx + c
- 2 = a × (-1)² + b × -1 + c
- 2 = a - b + c
After solving we get;
a = 1 , b = 4 and c = 1
Substitute all the values in above quadratic equation, we get;
h (x) = ax² + bx + c
h (x) = 1 × x² + 4x + 1
h (x) = x² + 4x + 1
h (x) = x² + 4x + 4 - 4 + 1
h (x) = (x + 2)² - 3
Thus, The quadratic function of h (x) in vertex form will be;
⇒ h(x) = (x + 2)² − 3
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Marta does 30 minutes of exercise a day. greg des 40 minutes of exercise a day. how many more minutes does marta exercise greg in one month of 31 days? answers
Answer:
Martha exercises 310 minutes more than Greg in a 31-day month!
Step-by-step explanation:
30x
40x
Where x equals the number of days.
Let's plug it in:
30(31) = 930
40(31) = 1240
Let's subtract:
1240 - 930 = 310
MEANING Marta exercises 310 minutes more than Greg in a 31-day month!
the cost per hour for fuel to run a train is v2 15 dollars, where v is the speed of the train in miles per hour. (note that the cost goes up as the square of the speed.) other costs, including labor, are $300 per hour. how fast should the train travel on a 300-mile trip to minimize the total cost for the trip?
The train should travel at a speed of 30√5 miles/hour on a 300-mile trip to minimize the total cost for the trip?
Given the cost per hour for fuel to run is v^2/15 dollars:
Labor cost=$300 per hour
Calculate the velocity to travel on a 300-miles trip:
Total time t=Distance/speed
=300/v
t=300/v
Total cost=(fixed cost*time)+(variable cost*time), where fixed cost is $300 per hour and variable cost is v^2/15 dollars , and time t=300/v
Total cost=(300*300/v)+((v^2/15)*(300/v))
=(90000/v)+(300v/15)
Now, to minimize the total cost on a 300-mile trip, we differentiate the total cost with respect to the velocity:
Let the d/dv of total cost be C(v):
C(v) =(-90000/v^2+300/15=0
(-90000/v^2+300/15)=0
90000/v^2=300/15
90000/v^2=20
v^2=90000/20
v^2=4500
v=√4500
v=30√5 miles/hour
Hence, the speed is 30√5 miles/hour
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33 1/3 of 66 is i will give points if help
Answer: 2200
Step-by-step explanation:
33 1/3 of 66
What are the steps needed to find x^3=64. I know the correct answer is 4, I just don't know the steps.
Step-by-step explanation:
x^3 =64
x^2+x=64( you can write x^3 like this .there is not problem with it )
x+x= root 64
2x= 8 ( 8×8=64)
x=8÷2
x = 4
-2.3x - 4.2x = -66.3
Solve the equation for x
Answer
x=10.
Step-by-step explanation:
-2.3x-4.2x=-66.3
-2.3+-4.2=-6.5x
-6.5x÷-6.5
-66.3÷-6.5
x=10.
write a pair of fractions whose sum is 7/11and difference is 3/11
If;
[tex]\frac{x}{11}=a[/tex] and[tex]\frac{y}{11} =b[/tex]then these variables must meet the following conditions below;
[tex]a+b=\frac{7}{11}[/tex][tex]a-b=\frac{3}{11}[/tex]In rational expressions (fractional numbers), if the denominators are equal, arithmetic operations are performed with the numerators. Therefore;
[tex]x+y=7[/tex][tex]x-y=3[/tex]If we add both equations at the same time, we get the following result;
[tex]x+y+x-y=7+3[/tex][tex]2x=10[/tex][tex]x=5[/tex]Now that we have found the unknown x, we can find the unknown y.
[tex]x+y=7[/tex][tex]5+y=7[/tex][tex]y=2[/tex]Now let's write our fraction pairs.
[tex](\frac{5}{11},\frac{2}{11} )[/tex]Answer:
[tex]\frac{5}{11}[/tex] and [tex]\frac{2}{11}[/tex]
Step-by-step explanation:
let the 2 fractions be x and y , x > y , then
x + y = [tex]\frac{7}{11}[/tex] → (1)
x - y = [tex]\frac{3}{11}[/tex] → (2)
add the 2 equations term by term to eliminate y
2x + 0 = [tex]\frac{10}{11}[/tex]
2x = [tex]\frac{10}{11}[/tex] ( divide both sides by 2 )
x = [tex]\frac{5}{11}[/tex]
substitute x = [tex]\frac{5}{11}[/tex] into (1) and solve for y
[tex]\frac{5}{11}[/tex] + y = [tex]\frac{7}{11}[/tex] ( subtract [tex]\frac{5}{11}[/tex] from both sides )
y = [tex]\frac{2}{11}[/tex]
the pair of fractions are [tex]\frac{5}{11}[/tex] and [tex]\frac{2}{11}[/tex]
Write the domain for the following piecewise-defined function using intervalnotation,2 if x < 1f(x) =1 2 – x2 if x > 1
The domain of a function are the values for which the function is defined or in the other words, it is the set of all possile values that the function accepts.
Therefore:
[tex](-\infty,1)U(1,\infty)[/tex]pls help
im grade 6
Math plsss help me ill give you 10 points
Answer:
7.25
Step-by-step explanation:
Barangay Maligaya is 28.5km
Since Ricardo traveled 12.75km by Jeep and 8.5km by tricycle and rest by hiking
Jeep = 12.75
Tricycle = 8.5
Hiking = 12.75 + 8.5
=21.25
Total= 28.5
=28.5 -21.25
= 7.25
Walter pays 2.53 to ship a package that weighs 5.5 onces. which is the cost to ship 1 ounce
To determine the price per ounce walter paid to ship the package you can use cross multiplication.
If 5.5 ounces ______$2.53
Then 1 ounce______$x
[tex]\begin{gathered} \frac{2.53}{5.5}=\frac{x}{1} \\ x=0.46 \end{gathered}[/tex]He will pay $0.46 per ounce
Complete the table and graph the solutions of the equation y =-3x + 3. X -1 0 1 2 у co -7 -6 -5 -4 -3 -2 -1. 0 2 3
1) Since the equation is y= -3x+3, let's fill in that table by plugging into them the given values for x
x | y= -3x +3 | y
-1 | y=-3(-1)+3 | 6
0 | | 3
1 | | 0
2| | -3
2) Let's plot that equation for points (-1,6) (0,3), (1,0) and (2,-3)
1080 sec: 6 min: 1080 sec simplified
Answer: 18 mins
Step-by-step explanation
there is 3600 secs in an hour so do the same for this.
6 mins is 360 secs and times 360 by 3 is 1080 and then double it they figure out how many mins is 2160 im sorry if thats confusing.