Answer:
20%
Step-by-step explanation:
When asked, "x is what percent of y?" divide x by y and multiply by 100.
9/45 = 0.2
0.2 * 100 = 20%
Recall that we multiply by 100 to convert decimal to percent.
Step-by-step explanation:
Let x% of 45 be 9 Then
x % of 45 = 9
x / 100 * 45 = 9
45x = 900
x = 900 / 45
x = 20%
the options doesn't matches.
Ram obtains 40% of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25% of Ram' s marks, while Bhuvan is ahead of Shyam by one month of his own marks. How many marks does Bhuvan get?
Answer:
First, we start with:
"Ram obtains 40% of the marks in a paper of 200 marks"
In this case, 200 marks represent the 100%
Then how much is the 40%?
we have the relations:
40% = X
100% = 200 marks
Now we can take the quotient of both equations:
(40%/100%) = X/200marks
(40%/100%)*200marks = X = 80 marks
So Ram obtained 80 marks.
Now we have:
"Shyam is ahead of Ram by 25% of Ram's marks"
Now the 100% is the number of marks that Ram has, this is:
100% = 80 marks
And Shyam has 25% more than that, then we have:
125% = X
Same as before, we take the quotient of both equations:
(125%/100%) = X/80 marks
1.25*80 marks = 100 marks.
Shyam has 100 marks.
The last part is (this is not written correctly, it says "one month", it should be "one-ninth")
"while Bhuvan is ahead of Shyam by one-ninth of his own marks."
if his own marks are X, we have the equation
X = 100 + (1/9)*X
X - 1/9*X = 100
X*(8/9) = 100
X = (9/8)*100 = 112.5
So Bhuvan has 112.5 marks
what is the solution: y=x and y=-x+4
Answer:
(2, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Coordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x
y = -x + 4
Step 2: Solve for x
Substitution
Substitute in y: x = -x + 4[Addition Property of Equality] Add x on both sides: 2x = 4[Division Property of Equality] Divide 2 on both sides: x = 2Step 3: Solve for y
Define original equation: y = xSubstitute in x: y = 2Find two angles (in radians) whose sine ratio is...
Hi there!
[tex]\large\boxed{\frac{\pi}{3} \text{ and } \frac{2\pi}{3}}[/tex]
From the unit circle, we can locate the two values of sine Ф (y-value of the coordinate) at which sin Ф = √3/2.
The two values are Ф = π/3 and 2π/3.
Find the simple interest on a P10500 loan at 20% for two years. (show
your process to get two points)
DO
D12
Dan
Answer:
P4200
Step-by-step explanation:
SI=PRT/100
P=Principal which is P10500
R=Rate which is 20%
T=Time which is 2 years
So SI= 10500×20×2/100
=P4200
32:3
What is 32 divided by 3
Answer:
11 1\3
Step-by-step explanation:
32÷3=11.33333333333333333333
help plz plz plz plz i need this
Answer:
n-5
Step-by-step explanation:
A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers. She had 35 prescriptions altogether. How many did she have for tranquilizers?
Answer:
She had 14 prescriptions for tranquilizers.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of prescriptions she had for antibiotics.
y is the number of prescriptions she had for tranquilizers.
A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers.
This means that:
[tex]\frac{x}{y} = \frac{3}{2}[/tex]
[tex]x = \frac{3y}{2}[/tex]
She had 35 prescriptions altogether.
This means that:
[tex]x + y = 35[/tex]
How many did she have for tranquilizers?
We want to find y. Since [tex]x = \frac{3y}{2}[/tex], we solve the following equation.
[tex]x + y = 35[/tex]
[tex]\frac{3y}{2} + y = 35[/tex]
Multiplying everything by 2
[tex]3y + 2y = 70[/tex]
[tex]5y = 70[/tex]
[tex]y = \frac{70}{5}[/tex]
[tex]y = 14[/tex]
She had 14 prescriptions for tranquilizers.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer: It depends on how many times Tyrell wants to reserve the court. Sorry but there's not enough info to solve rn
Hope this helps! <3
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
(3,12)
Step-by-step explanation:
y = 3x + 3
y = 6x -6
x = 3
y = 12
= (3,12)
Answer:
All you have to do, is find an x that if used in both equations, both equal the same y.
3 x 3 + 3 = 12
6 x 3 - 6 = 12
So, the only thing here is (3, 12)
Step-by-step explanation:
A pew research Center project on the state of news media showed that the clearest pattern of news audience growth in 2012 came on digital platforms. According to pew research data, 39% of Americans get news online or from a mobile device in a typical day. a. Suppose that you take a sample of 100 Americans. If the population proportion of Americans who get news online or from a mobile device in a typical day is 0.39, what is the probability that fewer than 30% in your sample will get news online or from a mobile device in a typical day? b. Suppose that you take a sample of 400 Americans. If the population proportion of Americans who get news online or from a mobile device in a typical day is 0.39, what is the probability that fewer than 30% in your sample will get news online or from a mobile device in a typical day? c. Discuss the effect of sample size on the sampling distribution of the proportion in general and the effect on the probabilities in (a) and (b).
Answer:
Step-by-step explanation:
Given that:
the sample proportion p = 0.39
sample size = 100
Then np = 39
Using normal approximation
The sampling distribution from the sample proportion is approximately normal.
Thus, mean [tex]\mu _{\hat p} = p = 0.39[/tex]
The standard deviation;
[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n} }[/tex]
[tex]\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }[/tex]
[tex]\sigma = 0.048[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]
[tex]Z = \dfrac{0.3 - 0.39 }{0.0488}[/tex]
[tex]Z = -1. 8 4[/tex]
From the z - tables;
[tex]P (\hat p \le 0.3 ) = P(z \le -1.84)[/tex]
[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0329}[/tex]
(b)
Here;
the sample proportion = 0.39
the sample size n = 400
Since np = 400 * 0.39 = 156
Thus, using normal approximation.
From the sample proportion, the sampling distribution is approximate to the mean [tex]\mu_{\hat p} = p = 0.39[/tex]
the standard deviation [tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }[/tex]
[tex]\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }[/tex]
[tex]\sigma_{\hat p} =0.0244[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]
[tex]Z = \dfrac{0.3 - 0.39 }{0.0244}[/tex]
[tex]Z = -3.69[/tex]
From the z - tables;
[tex]P (\hat p \le 0.3 ) = P(z \le -3.69)[/tex]
[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0001}[/tex]
(c) The effect of the sample size on the sampling distribution is that:
As sample size builds up, the standard deviation of the sampling distribution decreases.
In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion that is less than 30% also decreases.
A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped into a container of boiling water (100oC). If the temperature of the sphere increases 10o in 9 seconds, find the temperature of the ball after 18 seconds in the boiling water. (Assume the sphere obeys Newton's Law of Cooling.)
Answer:
38.71°C
Step-by-step explanation:
Given :
Initial temp, T0 = 20°C
Final temperature, T = 20 + 10 = 30°C
Time, t = 9 seconds
Surrounding temperature, Ts = 100°C
Newton's Law of cooling :
T = Ts + (T0 - Ts) * e^-kt
Obtain the value of k
30 = 100 + (20 - 100) * e^-9k
30 - 100 = - 80e^-9k
-70 = - 80e^-9k
-70 / - 80 = e^-9k
0.875 = e^-9k
Take the In of both sides
In(0.875) = - 9k
−0.133531 = - 9k
k = 0.133531 / 9
k = 0.0148
Hence,
t = 18
T = Ts + (T0 - Ts) * e^-kt
T = 100 + (20 - 100) * e^-0.0148(18)
T = 100 - 80 * e^-0.0148(18)
T = 100 - 80 * 0.7661326
T = 38.709392
T = 38.71°C
A sheet of standard U.S. typing paper measures 8.50 in by 11 in. What is its area in square centimeters? (Area =L x W)
Answer:
the area would be 935cm
Step-by-step explanation:
ty for reading :P
603.2246 square centimeters.
Thereeeeeeeeeeeeeeeeeeeeeeee
Answer:
1. 0.5%
2. 3%
3. 20%
4. 250%
5. 500%
hope this helps have a blessed day :)
Question 1
4+ (-3) + (-2) ?
Which of the following diagrams correctly represent
Answer:
4-3-2
-1
Step-by-step explanation:
Please help asap
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
56
Step-by-step explanation:
28x2=56
multiply 56x2=112
Add 112+124=236
Add 236+124=360
How do you find the difference between an isosceles triangle and a normal triangle?
Answer:
In an equilateral triangle, all the sides and angles are of equal length. In an isosceles triangle, 2 of the sides are equal
Step-by-step explanation:
What is the sum
X+
1
دیا |
x
100
Uw
x+
ოjთ
3 5
O 5*+
3 7
X+
8
Answer:
use photo math lol
Step-by-step explanation:
Your teacher is giving a 150 point test. There are a total of 46 3-point questions and 5-point questions. How many of each are on the test
Answer:
Let x be the number of 3-point questions.
Let y be the number of 5 point questions.
What is the sun of 15 5/9 + 10/12?
a. 16 17/18
b. 15 7/10
c. 16 7/18
d. 188/18
Answer:
C. 16 7/18
Step-by-step explanation:
First find the least common denominator for the fractions: 36
Change the fractions: 15 20/36 + 30/36
Add the fractions: 20/36+30/36=50/36
Turn into proper fraction: 16 14/36
Simplify: 16 7/18
when x is divided by 9, the remainder is 7. What is the remainder when x+4 is divided by 9
Answer:
First i always use khan academy
Step-by-step explanation:
Factor the expression-28x-14
Answer:
-14(2x+1)
Step-by-step explanation:
Factor out the GCF, which is 14.
Answer:
-14(2x+1)
Step-by-step explanation:
this is a question on my math test and i got it write
Pls help, because I need it desperately
Answer:
1) 13
2) is
3) s/13
Step-by-step explanation:
It’s one adult to 13 students. It IS proportional.
a=s/13
A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth
rate as a percent for that 15-year period?
Answer:
their was no growth rate it lost 53,500 in those 15 years at a rate of about 3,566 a year
Step-by-step explanation:
The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
The cost in 2000 is $185500
Cost in 2015 is $132000
Change or increase = (185500 - 132000)
% increase = change/original
% increase = (185500 - 132000)/185500 = 28.84%
Hence "The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%".
For more about the percentage,
brainly.com/question/13450942
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Select the correct answer. Which equation is a step in solving the equation |5 − 3x| + 2 = 19?
Answer:
Step-by-step explanation:
The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an ice cube 2 minutes to melt in 75f water, how long will it take an ice cube of the same size to melt in 80f water?
Answer:
15/8 minutes
Step-by-step explanation:
The inverse relationship implies the following equation.
[tex]t=\frac{k}{T}[/tex]
where k is a constant.
You are given a t and T that go together, so
[tex]2=\frac{k}{75}[/tex]
This implies that k=150. Now you know that the relationship is
[tex]t=\frac{150}{T}[/tex]
Now substitute 80 for T to get the answer.
[tex]t=\frac{150}{80}=\frac{15}{8}[/tex][tex]t=\frac{150}{80}=\frac{15}{8}[/tex]
minutes.
It takes an ice cube of the same size to melt in 80f water 15/8 minutes.
We have given,
The time t for am ice cube to melt. is inversely proportional to the
temperature T of the water in the ice cube is placed.
What is the inverse relationship?The inverse relationship implies the following equation.
[tex]t=\frac{k}{T}[/tex]
Where k is a constant.
You have given a t and T that go together, so
[tex]2=\frac{k}{75}[/tex]
This implies that k=150.
Now you know that the relationship is
[tex]t=\frac{150}{T}[/tex]
Now substitute 80 for T to get the answer.
[tex]t=\frac{150}{80} =\frac{15}{8}[/tex]
It takes an ice cube of the same size to melt in 80f water 15/8 minutes.
To learn more about the temperature visit:
https://brainly.com/question/24746268
Julie has put a map of the United States on a coordinate grid.
Phoenix is at approximately (–2.4, -4.2) and Atlanta is at
approximately (2.9,-4.2). If each unit on the grid represents
300 miles, what is the approximate distance between Phoenix
and Atlanta?
Julie has put a map of the United States on a coordinate grid.
Phoenix is at approximately (–2.4, -4.2) and Atlanta is at
approximately (2.9,-4.2).
3x + 2(4x - 4) = 3
Anyone know the answer?
Answer:
x=1
Step-by-step explanation:
3x+2(4x-4) = 3
3x+8x-8 = 3
11x-8 = 3
11x = 11
x = 11/11 = 1
The solution for x in the expression 3x + 2 (4x- 4) = 3 is,
⇒ x = 1
The given expression is,
⇒ 3x + 2 (4x- 4) = 3
We can simplify by apply distributive property and combine like term,
⇒ 3x + 2 (4x- 4) = 3
Apply distributive property,
⇒ 3x + 8x - 8 = 3
Combine like term,
⇒ 11x - 8 = 3
Add 8 both side,
⇒ 11x = 3 + 8
⇒ 11x = 11
Divide by 11,
⇒ x = 11 / 11
⇒ x = 1
Therefore, The solution for x in the expression 3x + 2 (4x- 4) = 3 is,
⇒ x = 1
Learn more about the mathematical expression visit:
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i need step by step answers pleasseeee
Systems of Equations
4x-3y=-20
-x-8y=5
Answer:
(-5, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x - 3y = -20
-x - 8y = 5
Step 2: Rewrite Systems
-x - 8y = 5
[Addition Property of Equality] Add 8y on both sides: -x = 8y + 5[Division Property of Equality] Divide -1 on both sides: x = -8y - 5Step 3: Redefine Systems
4x - 3y = -20
x = -8y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-8y - 5) - 3y = -20[Distributive Property] Distribute 4: -32y - 20 - 3y = -20Combine like terms: -35y - 20 = -20[Addition Property of Equality] Add 20 on both sides: -35y = 0[Division Property of Equality] Divide -35 on both sides: y = 0Step 5: Solve for x
Define original equation: -x - 8y = 5Substitute in y: -x - 8(0) = 5Multiply: -x = 5[Division Property of Equality] Divide -1 on both sides: x = -5Answer:
x = -5
y = 0
Step-by-step explanation:
4x-3y=-20
-x-8y=5 then x = 8y-5
substitute for x
4(8y-5)-3y = -20
32y-20-3y = -20
29y = 0
y = 0
4x-0 = -20
x = -5
find the value of x
Answer:
x = 20
Step-by-step explanation:
Each side would be 60. 60/3 would be 20. So x = 20
Answer:
x = 20
Step-by-step explanation:
Looking at the image you've posted here. We can see this triangle is equilateral. That also means 3x is 60°, as are the other two angles. All you really have to do is dividing both sides of the equation by 3 to get x to equal 20.
11 2/8 - 5 1/2 • 1 2/3 + 1 1/4
Answer:
[tex]3\frac{1}{3} = \frac{10}{3} = 3.333333333[/tex]
Step-by-step explanation:
Hope this helps.