4/7 of a number is 52 what is the number
Answers
The unknown number is 91 by which 4/7 of a number gives 52
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
WE need to find the unknown number which satisfy that 4/7 of a number is 52.
Let assume the unknown number be Z then;
4/7 of z = 52
Therefore,
4/7 x z = 52
z = 52 x 7/4
Now multipliy;
z = 13 x 7
z = 91
Hence, the unknown number is 91 by which 4/7 of a number gives 52
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Related Questions
Lines M and N are parallel. Name the relationship between ∠a and ∠b.
Answers
Answer:
alternate angled
Step-by-step explanation:
add up to 180
A bank features a savings account that has an annual percentage rate of r=3.3% with interest compounded quarterly. Maia deposits $10,000 into the account. What values should be used for p, r, and n? How much money will Maia have in the account in 9 years?
Answers
The used values are;
p = $10,000
r = 3.3%
n = 9 years
And, The amount after 9 years will be $14,593.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
A bank features a savings account that has an annual percentage rate of r = 3.3% with interest compounded quarterly.
And, Maia deposits $10,000 into the account.
Now,
Since, The interest rate is for compounded quarterly.
So, The used formula is,
⇒ \(A = P (1 + \frac{r}{4} )^n^t\)
Here, P = $10,000
r = 3.3% = 0.033
n = 4
t = 9
Substitute all the values, we get the amount after 9 years,
⇒ \(A = P (1 + \frac{r}{4} )^n^t\)
⇒ A = $10,000 (1 + 0.033/4)³⁶
⇒ A = $10,000 (1 + 0.008)³⁶
⇒ A= 10,000 × (1.008)³⁶
⇒ A = 10,000 x 1.45
⇒ A = $14,593
Thus, The amount after 9 years will be $14,593.
Therefore, The used values are;
p = $10,000
r = 3.3%
n = 9 years
And, The amount after 9 years will be $14,593.
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particle travels from(-1/3 ,1, -2) to(9,9,6) . Its motion is described by the position function r(t)=(t^3/3, t^2,2t).
a) Find the distance the particle travels along the path, its average speed, and its
displacement [the distance it could have traveled if in a straight line].
b) List a detailed snapshot of the T,N,B frame for this particle at the halfway point (by
time) including curvature and torsion.
Answers
The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.
To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.
The velocity vector is the derivative of the position function r(t):
\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)
\(= (t^2, 2t, 2)\)
The speed of the particle at any given time t is:
|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)
= √(t^4 + 4t^2 + 4)
= √((t^2 + 2)^2)
To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.
distance = ∫[from -1/3 to 9] |v(t)| dt
= ∫[from -1/3 to 9] |t^2 + 2| dt
= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt
= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)
Evaluating the definite integrals:
distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]
= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]
= [1/27 + 2/3] + [729/3 + 18]
= 1/27 + 2/3 + 729/3 + 18
= 1/27 + 18/27 + 729/3 + 18
= (1 + 18 + 729)/27 + 18
= 748/27 + 18
= 27.63 + 18
= 45.63 units (approximately)
Therefore, the particle travels approximately 45.63 units along the path.
To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.
average speed = distance / time
= 45.63 / (28/3)
= 45.63 * (3/28)
= 4.9179 units per unit time (approximately)
The displacement is the straight-line distance between the initial and final positions of the particle.
displacement = |r(9) - r(-1/3)|
= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|
= |(27, 81, 18) - (-1/27, 1/9, -2/3)|
= |(27 + 1/27, 81
= 2781.
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There was a plate of 2
mint brownies, 2 chocolate
brownies and 5 chocolate
brownies with nuts. What
is the probability that
Gavin will randomly take a
brownie with nuts,
put it back, and grab one
without nuts?
Answers
Answer:
20/81
Step-by-step explanation:
The total number of brownies is 2 + 2 + 5 = 9. The probability of Gavin taking a brownie with nuts on the first pick is 5/9. After putting it back, the total number of brownies is still 9, but the number of brownies with nuts is now 4. Therefore, the probability of Gavin taking a brownie without nuts on the second pick is 4/9. The probability of both events happening together is the product of the individual probabilities: (5/9) x (4/9) = 20/81. Therefore, the probability that Gavin will randomly take a brownie with nuts, put it back, and grab one without nuts is 20/81.
Answer:
if you add the whole amount, then 2+2+5 is 9. then divide by 4 (the number without nuts) 4/9 is 44 percent
Step-by-step explanation:
Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.
Answers
The solution is, After decreasing £16870 by 3% we get, £16363.90.
Here, we have,
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
First, find the percentage of £16870 by 3%
%value = 3% * 16870
= (3 / 100) * 16870
= 506.1
Now, just minus with actual value
New value = actual value - %value
We know, actual value = £16870 and %value = 506.1
so, New value = 16870 - 506.1
we get, New value = £16363.90
Therefore, After decreasing £16870 by 3% we get, £16363.90
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complete question:
Decrease £16870 by 3%
Give your answer rounded to 2 DP.
Solve the following equation. 2x/5 + 1 = 7Then place the correct number in the box provided.
Answers
Answer:
\( \sf \large \: x=15\)
Step-by-step explanation:
Let's solve your equation step-by-step.
2x/5+1=7
Step 1: Simplify both sides of the equation.
2/5x+1=7
Step 2: Subtract 1 from both sides.
2/5x+1−1=7−1
2/5x=6
Step 3: Multiply both sides by 5/2.
(5/2)*(2/5x)=(5/2)*(6)
x=15
8x + 3 – 13
31 - 21 - 11
Answers
Answer: 8x+10
-1
Step-by-step explanation:
The flight of a golf ball can be represented by a parabola with a vertex (75,55). During the flight, the ball was 100 yards away from the tee and had a height of 49.375 feet. What is the equation in vertex for a parabola that represents the ball's vertical distance, y, and horizontal distance from the tee, x?
Answers
The equation in vertex for the parabola for y in terms of x is y = -0.009(x - 75)² + 55
How to determine the equation in vertex for a parabola?From the question, we have the following parameters that can be used in our computation:
Vertex = (75, 55)
Point = (100, 49.375)
The equation in vertex form for a parabola is represented as
y = a(x - h)² + k
Where
Vertex (h, k) = (75, 55)
Point (x, y) = (100, 49.375)
So, we have
y = a(x - 75)² + 55
Substitute (x, y) = (100, 49.375) in y = a(x - 75)² + 55
49.375 = a(100 - 75)² + 55
So, we have
625a = -5.625
Divide by 625
a = -0.009
Substitute a = -0.009 in y = a(x - 75)² + 55
y = -0.009(x - 75)² + 55
Hence, the equation is y = -0.009(x - 75)² + 55
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Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.
Answers
Answer:
x=0.173
Step-by-step explanation:
First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.
Please help willl give 5 stars!
Answers
Answer:
9. 6, 2, -2,-6,-10,-14
Step-by-step explanation:
The solution to X +9-3 is less than or equal to 14
Answers
Answer:
\(x∈( - ∞;8]\)
Step-by-step explanation:
\(x + 9 - 3 \leqslant 14\)
Collect like-terms:
\(x \leqslant 14 - 9 + 3\)
\(x \leqslant 8\)
\(x∈( - ∞;8]\)
In a circle, a central angle is 15 degrees and a radius is 8 cm. What is the length of the intercepted arc
Answers
Given:
In a circle, a central angle is 15 degrees and a radius is 8 cm.
Required:
What is the length of the intercepted arc
Explanation:
We know the formula for length of arc
\(\text{ Arc length =}\frac{\theta}{360}\times2\pi r\)Where, theta is central angle and r is radius.
Now,
\(\begin{gathered} \text{ Arc length =}\frac{15}{360}\times2\pi\times8 \\ =\frac{2\pi}{3} \end{gathered}\)Answer:
Option A is correct.
Darius biked for 2 hours and traveled 21 miles. Kala biked 42 miles in 5 hours. Determine how many miles each person biked in one hour. Who biked more quickly?
Answers
Step-by-step explanation:
that's so easy just learn it times
Let X be an exponential r.v. with mean 6 and Y be an uniform r.v. over [4, 10] independent of X. Find the variance of 2X+3Y.
Answers
Var[2X + 3Y] = 2² Var[X] + 2 Cov[X, Y] + 3² Var[Y]
but since X and Y are given to be independent, the covariance term vanishes and you're left with
Var[2X + 3Y] = 4 Var[X] + 9 Var[Y]
X follows an exponential distribution with parameter λ = 1/6, so its mean is 1/λ = 6 and its variance is 1/λ² = 36.
Y is uniformly distributed over [a, b] = [4, 10], so its mean is (a + b)/2 = 7 and its variance is (b - a)²/12 = 3.
So you have
Var[2X + 3Y] = 4 × 36 + 9 × 3 = 171
write the decimal that is 10 times as great as .0009
Answers
Answer: 0.09
Step-by-step explanation:
Simplify the expressions:
−8y³ x 5y8
Answers
I hope this helps.
Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.
Step-by-step explanation:
You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.
Hope this helps! Have a good day :)
fraction numerator 6 y plus 2 x over denominator 5 end fraction equals 18
Answers
The given statement fraction numerator 6 y plus 2 x over denominator 5 end fraction in numerical form 18 is 6y + 2x = 90.
What is a linear equation in two variable?A linear equation in two variables has the highest degree of 1 and contains two variables generally in x and y.
Given in numerator we have 6y + 2 and in the denominator, we have 5 and this fraction equals to 18, This can be numerically represented as
(6y + 2x)/5 = 18.
6y + 2x = 90.
This is a linear equation in two variables x and y and for every value of x we get a corresponding value of y or vice-versa and all (x,y) ∈ R.
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Guess a number between 1-3 whoever gets it gets brainliest
Answers
Ezra wants to buy a toy car that was 50% off. The original price is $4. How much will Ezra pay if he buys it during the sale?
Answers
Answer:
She will pay $2.
Step-by-step explanation:
3. When Ahmad goes to work, he has to pass through two sets of traffic lights, P and Q. The
7
probability that he has to stop at P is
The probability that he has to stop at Q, given that he has
20
to stop at Pis
stop at P is
2
5
7
The probability that he does not have to stop at Q, given that he does not have to
10
(a) Construct a tree diagram to represent the above information..
(b) Find the probability that he has to stop at both P and Q.
(c) Find the probability that he has to stop at least once.
(d) If he has to stop at Q, what is the probability that he would have stopped at P.
[3 marks]
[2 marks]
[2 marks]
[3 marks]
Answers
P(stop at P|stop at Q) = P(stop at P and stop at Q) / P(stop at Q) is 28/47
How to solve questions?
(a) Tree diagram:
| P stop 7/20
|
-------|-------
| |
Q stop| P stop 2/5 | P not stop 3/5
| |
------|------- |
| |
Q not stop| P stop 1/10 | P not stop 9/10
| |
-------|-------
|
| P not stop 13/20
(b) The probability that he has to stop at both P and Q is:
P(stop at P) * P(stop at Q|stop at P) = (7/20) * (2/5) = 7/50
(c) The probability that he has to stop at least once is:
P(stop at P and/or stop at Q) = 1 - P(not stop at P) * P(not stop at Q|not stop at P)
= 1 - (13/20) * (9/10) = 11/20
(d) If he has to stop at Q, the probability that he would have stopped at P is:
P(stop at P|stop at Q) = P(stop at P and stop at Q) / P(stop at Q)
= (7/50) / (13/20 * 2/5 + 7/50)
=28/47
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please help with this question
Answers
Answer:
B. xy(y - x) (y + x)
Step-by-step explanation:
Step by step
Original
xy^3 - x^3y
First factor out xy
xy (y^2 - x^2)
We know that (y^2 - x^2) is a perfect square so
Factor out (y - x)( y + x )
(xy) (y -x ) ( y + x) is your answer
It’s the 2nd one on your attachment
Tell whether the question is a statistical question. Explain.
Part 1
Answers
Answers:
Statistical questionNot a statistical questionStatistical question==========================================
Explanations:
The phrasing here is a bit vague, but I think your teacher means "your" in the sense that it is directed at whoever is taking the survey and not a specific single person. If it was directed at exactly one person, and one person only, then no statistics are needed. You can simply count the number of songs on the device and that's the end of that story. However, when it comes to multiple people, statistics is used to give an idea of how the population is overall. Recall that the sample is supposed to represent the population, assuming no biases are present. I'll assume that your teacher is aiming for the more broader definition of "your" and that's why this is a statistical question. Similar reasoning will apply for problem 3.Unlike problems 1 and 3, this is not a statistical question. Why not? Because we know exactly how many feet are in 1 yard, and that will not change no matter what happens. It's simply a definition we set up earlier, and have stuck to. Having it change won't help things. Statistical questions address variables in which not only are allowed to change, but do so randomly (according to some pattern). Here we have 3 feet to a yard and no statistics are needed to address this.Similar to problem 1. I'm assuming your teacher is asking a broader audience and not exactly one single specific person. In this case, the name of the favorite movie would be considered qualitative categorical data, and also considered nominal as well. We don't have ordinal data because movies cannot be ordered or ranked, as that is subjective. I'm not considering alphabetical order. We have a statistical question here for the broader audience because the variable "favorite movie" is allowed to change, and is subject to some degree of randomness. Hence the phrasing "random variable".Answer:
multiply the length value by 3
so its 3 foot
Sketch the graph of the solution set of the system of inequalities. Label the vertices of the region. 3x + 7y < 21 x > 0 y > 0
Answers
The graph of the equations 3x + 7y < 21, x > 0, and y > 0 are attached
The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph
What are inequality graph?The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.
These inequalities are frequently linear and can be represented by straight line graphs.
To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.
A solid line indicates that the line is present.
The line is not included if it is dotted.
The graphs for the equation is plotted and attached
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if 2 sweaters cost $25.58, how much would 8 sweaters cost?
Answers
∵ The cost of 2 sweaters is $25.58
∵ The number of sweaters is 8
→ We will use the ratio method to solve the question
→ Cost : Number of sweaters
→ 25.58 : 2
→ x : 8
→ By using cross multiplication
∵ x * 2 = 25.58 * 8
∴ 2x = 204.64
→ Divide both sides by 2
∴ x = 102.32
∴ The cost of the 8 sweaters is $102.32
Help with number two please:)
Answers
Well 6x3=18
So 5x3=15
i feel like i have the answer, i’m just not sure and need someone else to help me so i can check it.
Answers
Answer:
5
Step-by-step explanation:
2/6=x/15
cross multiply
6x=30
x=5
A tailor has 13 1/2 yards of fabric to use for making costumes. For each costume, he needs 1 1/2 yards of fabric for the top and 3/4 yards bottom. How many costumes can he make
Answers
Answer:
6 complete costumes
Step-by-step explanation:
he has 27/2 total fabric
1 costume requires 1 2/4 + 3/4 of fabric, which is 2 1/4
we divide 27/2 by 9/4
27/2 x 4/9 = 6
The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 20.4cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 20.4 cm, what is the single value that is the best-predicted height for that person?
Answers
The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:
y = a + bx
where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.
From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.
Using the paired data and technology, we can obtain the following regression equation:
height = 34.774 + 1.4966 (foot length)
Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:
height = 34.774 + 1.4966 (20.4)
height = 65.83 cm
Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
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¿Es 42.497.365 divisible por 6?
Answers
No, 42,497,365 is not divisible by 6.
Hope it helps you! :)
\(GraceRosalia\)
Which of the following statements about the table is true?
Select all that apply.
The table shows a proportional relationship.
All the ratios for related pairs of x and y are equivalent to 7.5.
When x is 13.5, y is 4.5.
When y is 12, x is 4.
The unit rate of for related pairs of x and y is .
26
22 Undertond Proportional Relationships: Fouivalent Ratios
C
C
y
10.5 3.5
15.9 5.3
22.5 7.5
27
9
3
Answers
Answer:
there is a lot of ratios here, but I will try my best. A proportional relationship is the relationship that is proportional obviously. and if the ratio is related, pairs are equivalent to 7.5 then that must mean that the proportional relationship is fuevalent