Answer:
3 because 3 x 2 + 3 x 8 = 30 and 3(2+8)=30
if p:q=1:2 and q:r=4:3,find p:q:r
Answer:
2:4:3
Step-by-step explanation:
To Find :-
p : q : r .Solution :-
By question ,
→ p :q= 1:2
→ q : r = 4 :3
Therefore ,
→ p/q × q/r = 1/2 × 4/3
→ p/r = 2/3
Again ,
→ p = 1/2q
→ r = 3/4 q
Henceforth ,
→ p : q : r
→ 1/2 q : q : 3/4q
→ 4/2q : 4q : 12/4 q
→ 2 : 4 : 3
Kuta Software Infinite Algebra 1. Solving Systems of Equations by Substitution. Solve each system by substitution. 1) y=6x-11. -2x-3y=-7. -2x-3(60x-11)=-7
the solution to the system of equations is x = 2 and y = 1.
To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.
Given the system of equations:
1) y = 6x - 11
2) -2x - 3y = -7
Step 1: Solve equation (1) for y.
y = 6x - 11
Step 2: Substitute the value of y from equation (1) into equation (2).
-2x - 3(6x - 11) = -7
Step 3: Simplify and solve for x.
-2x - 18x + 33 = -7
-20x + 33 = -7
-20x = -7 - 33
-20x = -40
x = (-40)/(-20)
x = 2
Step 4: Substitute the value of x into equation (1) to find y.
y = 6(2) - 11
y = 12 - 11
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.
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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.
Explanation:To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.
Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.
Therefore, the solution to the system of equations is x = 2 and y = 1.
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A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? *
Answer:
Solution given:
perpendicular distance =height [p]=40m
base or horizontal distance [b]=198m
Hypotenuse or zip line [h]=?
Now
By using Pythagoras law
h²=p²+b²
h²=40²+198²
h=√40804
h=202m
So the Zip line is 202m long.
how many numbers must be randomly selected from the set \{1,3,5,7,9,11,13,15\}{1,3,5,7,9,11,13,15} to guarantee that at least one pair of these numbers add up to 1616?
The number of pairs that must be randomly selected from the set {1,3,5,7,9,11,13,15} to guarantee that at least one pair of these numbers add up to 16 is 5.
In the given set {1,3,5,7,9,11,13,15}, there are four pairs that sum up to 16, which are (1,15), (3,13), (5,11), and (7,9). Let k numbers be picked from the set. Consider k = 5, then using the pigeonhole principle, for one of the pairs described above, both of the endpoints must have been picked. Hence, if 5 numbers are picked from the set, then there exists a pair with a sum of 16.
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Name three collinear points
Collinear points are points that lie on the same straight line.
In the figure, we can see that points E, B, and F are all on the same straight line, meaning that they are three collinear points.
Hope this helps.
頑張って!
Identify the type of solution from a graph.
Answer:
the answerrrr I believe is C
List the possible values of a for which a squared is between 6 and 7 and a is a natural number
Answer:6.5 7.5
Step-by-step explanation:
I know you can do this if you need help you can contact me
A car travelled 72 km in 3/4 h. If the car is travelling at a constant rate how far will the car travel in one hour?
Answer:
96 km
Step-by-step explanation:
72/3 is 24. When yo add 24 to 72 you get 96km.
Of 20 test scores, seven are less than or equal to 86. What is the percentile rank of a test score of 86?
The percentile rank of 86 is __
help me please! thanks !
Answer:
10 is 20% 5 is 10% 1 is 2% 17 is 34%
Step-by-step explanation:
Kinda hard to explain.
Answer:
20%
10%
2%
34
Step-by-step explanation: HOPE THIS HELP PLEASE MARK ME AS BRAINLISTI
does anyone know how to solve 54 = 36 - 9b
Answer:
-2
Step-by-step explanation:
54 - 36 = 18
18 % -9 =-2
How to solve 5200=5200(0.065)(x)?
Answer:
5200=5200(0.065)x
5200=338x
5200/338=x
x= 15.38
Hope this helps!
I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)
the sum of 48 and itself its half and half of the hal is added to 18
Answer:
150
Step-by-step explanation:
We are carrying out Addition
a) The sum of 48 and itself
= 48 + 48 = 96
b) Its half and half of the half
96 + (1/2 × 48) + (1/2 ×( 1/2 × 48)
= 96 + 24 +(1/2 × 24)
= 96 + 24 + 12
= 132
c) is added to 18
= 132 + 18
= 150
Therefore, the sum of 48 and itself, its half and half of the half is added to 18 is 150
The sum of 48 and itself its half and half of the half is added to 18 is 150.
Given, we have a number 48.
We have to find the sum of 48 and itself its half and half of the half is added to 18.
So, the half of the 48 is 24 and half of the half becomes 12.
Now the equation becomes,
\(48+48+24+12+18=150\)
Hence the required sum is 150.
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santa has written 10 letters and gives them to each of his elves to insert to their corresponding envelope what is the probabability that exactly nine letters were inserted in the proper envelope
The probability of exactly nine letters being inserted correctly out of ten letters in envelopes is approximately 0.00000028, indicating a very low likelihood of this specific outcome.
Given that Santa has written 10 letters and gives them to each of his elves to insert into their corresponding envelope. We need to find the probability that exactly nine letters were inserted in the proper envelope.
There are 10 letters and they are supposed to be inserted into their corresponding envelopes.
Let us say the letter 1 is supposed to be in the envelope 1 and so on. And the elves have to insert each letter into their correct envelopes.
The probability of the first letter being inserted into the correct envelope is 10 since there is only one way to insert it in the correct envelope out of ten envelopes.
The probability of the second letter being inserted into the correct envelope is 1/2, since there are only two choices of envelopes left, and one of them is the correct envelope.
The probability of the third letter being inserted into the correct envelope is 1/3, since there are only three choices of envelopes left, and one of them is the correct envelope.
The probability of the last letter being inserted into the correct envelope is 1/10, since there are ten choices of envelopes left, and one of them is the correct envelope.
The probability that exactly nine letters are in the proper envelope and one is not in the correct envelope is
10/10! = 1/362880 = 0.0000028.
Hence, the required probability is 0.0000028 or 1/362880.
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Timothy Bergling is designing a logo. The logo is a polygon whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.
Answer:
The logo has an area of 5.7 cm².
Step-by-step explanation:
The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.
\(square = side^2 = 2^2 = 4 \text{ cm}^2\)
\(triangle = \frac{b*h}{2} = \frac{2*1.7}{2} = 1.7 \text{ cm}^2\)
The total area of the figura is:
\(total = square + triangle = 4 + 1.7 = 5.7 \text{ cm}^2\)
The logo has an area of 5.7 cm².
If Tom walking rate is 2.5meters per sec how far can tom walk in 30 sec
help
Answer:
75.
Step-by-step explanation:
That would be 2.5 x 30.
2.5 x 30 = 75, so that's your answer. 75.
An electronic company produces keyboards for the computers whose life follows a normal distribution, with mean (150 + B) months and standard deviation (20+ B) months. If we choose a hard disc at random what is the probability that its lifetime will be
a. Less than 120 months? ( 4 Marks)
b. More than 160 months? ( 6 Marks)
c. Between 100 and 130 months? (10 Marks)
a,The probability that its lifetime will be Less than 120 months is 0.9251
b.The probability that its lifetime will be More than 160 months is 0.1711
c.The probability that its lifetime will be Between 100 and 130 months is 0.0918
a. For a normal distribution, the z-score is calculated by using the formula as follows,
z = (X - μ) / σ
Where,
X = 120 months
μ = Mean = (150 + B) months
σ = Standard Deviation = (20 + B) months
Now, we have to find the probability of a keyboard's life being less than 120 months.
Therefore, we will use the standard normal distribution table to find the probability that corresponds to the z-score calculated above.
Probability = P(Z < z)
We can calculate the z-value as follows,z = (X - μ) / σ= (120 - (150 + B)) / (20 + B)= (-30 - B) / (20 + B)
Now, we can find the probability using the z-value and standard normal distribution table.
b. The probability that a keyboard's life will be more than 160 months, we will first calculate the z-score using the formula,z = (X - μ) / σ
Where,X = 160 months
μ= Mean = (150 + B) months
σ = Standard Deviation = (20 + B) months
Now, we have to find the probability of a keyboard's life being more than 160 months. Therefore, we will use the standard normal distribution table to find the probability that corresponds to the z-score calculated above.
Probability = P(Z > z)
We can calculate the z-value as follows,z = (X - μ) / σ= (160 - (150 + B)) / (20 + B)= (10 - B) / (20 + B)
Now, we can find the probability using the z-value and standard normal distribution table.
c.The probability that a keyboard's life will be between 100 and 130 months, we will first calculate the z-score using the formula as follows,z1 = (X1 - μ) / σ
Where,X1 = 100 monthsμ = Mean = (150 + B) monthsσ = Standard Deviation = (20 + B) months
Now, we will find the z-score for the second value as follows,
z2 = (X2 - μ) / σ
Where,X2 = 130 months
μ = Mean = (150 + B) months
σ = Standard Deviation = (20 + B) months
c. Now, we have to find the probability of a keyboard's life being between 100 and 130 months.
Therefore, we will use the standard normal distribution table to find the probability that corresponds to the z-scores calculated above.
Probability = P(z1 < Z < z2)where z1 = z-score for 100 months, z2 = z-score for 130 months.
Therefore, the probability that its lifetime will be less than 120 months is 0.9251, the probability that its lifetime will be more than 160 months is 0.1711 and the probability that its lifetime will be between 100 and 130 months is 0.0918.
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1) 25 - p + 5
please help
Answer:
25-p+5
= -p+25+5
= -p+30
-p+30 it is
Step-by-step explanation:
hope that helps>3
There are 3 red 5 blue and 8 green balls
Minimum how many times I have to pick a ball to get 2 green
A circle has a diameter of 4 inches. Which statement about the area and circumference of the circle is true?
O A comparison of the area and circumference of the circle is not possible because there is not enough inform
to find both.
O The numerical values of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.
Answer:
Option B is correct
The numerical values of the circumference and area are equal.
Step-by-step explanation:
Circumference(C) and Area (A)of the circle is given by: ....[1] ......[2]where, r is the radius of the circle.As per the statement:A circle has a diameter of 4 inches. We know:Diameter = 2 (radius(r))then;4 = 2rDivide both sides by 2 we have;r = 2 inchesSubstitute these in [1] and [2] we have;Use then;Therefore, the numerical values of the circumference and area are equal i.e 12.56
a transformation is applied to a figure to create a new figure on a coordinate grid. which transformation does not preserve congruence?
Dilation does not preserve congruence, as it changes the size of the figure while keeping the same overall shape.
A transformation that does not preserve congruence is a dilation. A dilation is a transformation that changes the size of a figure while keeping the same overall shape. The formula for dilation is:
D(x,y)=(kx,ky)
Where k is the scale factor. A scale factor of less than 1 will decrease the size, whereas a scale factor greater than 1 will increase the size.
For example, if we have a triangle ABC with vertices A(1,1), B(3,3) and C(4,1), after dilation with a scale factor of 0.5, the vertices of the new triangle A'B'C' will be A'(0.5,0.5), B'(1.5,1.5) and C'(2,0.5).
As can be seen from the example, dilation does not preserve congruence. The triangle A'B'C' is not congruent to triangle ABC, since the length of the sides and the angles have changed.
Dilation does not preserve congruence, as it changes the size of the figure while keeping the same overall shape.
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A beaker has a mass of 129 g. What is the mass of this beaker in kilograms?
Answer: 0.129 kg
Step-by-step explanation:
A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001
there are six balls in a box if we select three balls what is the probability of having one white ball
The probability of having one white ball is 1/20 or approximately 0.05.
To find the probability of selecting one white ball out of three balls, you need to know the number of white balls in the box and the total number of balls in the box. You also need to know whether the balls are being selected randomly or not.
Assuming that there is only one white ball in the box and the rest are some other color, and that the balls are being selected randomly.
The probability of selecting one white ball out of three would be:
Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)
Since there is only one white ball, there is only one way to select one white ball out of three. The total number of ways to select three balls out of six is 6 choose 3, which is equal to 20.
Therefore, the probability of selecting one white ball out of three would be
Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)
Probability = 1/20
Probability = approximately 0.05.
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Suppose you borrowed $45,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year? Select the correct answer. a. $7,594.46 b. $7,600.46 c. $7,618.46 d. $7,612.46 e. $7,606.46
The correct answer is option a. $7,594.46.
To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:
Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate
In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.
Let's calculate the amount you would reduce the amount you owe in the first year:
Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825
Installment = $12,825
Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.
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\(cos\frac{\pi }{30}cos\frac{\pi }{5} + sin\frac{\pi }{30} sin\frac{\pi }{5}\)
Answer:
.866
Step-by-step explanation:
fill in the blanks. the variability among the sample means is called __________, and the variability of each sample is the __________.
The variability among the sample means is called "sampling error" or "sampling variability," and the variability of each sample is the "sample variance."
In statistics, when we take multiple samples from a population, each sample will have its own mean. The variability among these sample means is known as "sampling error" or "sampling variability." It measures how much the sample means differ from each other due to random sampling variation. Sampling error arises because each sample is a subset of the population, and different samples may contain different individuals or observations. The variability in the sample means reflects the natural variation present in the population. By analyzing the sample means, we can make inferences about the population parameters. On the other hand, the variability of each sample itself is quantified by the "sample variance." The sample variance measures how individual observations within each sample deviate from the sample mean. It gives an indication of how spread out the data points are within a particular sample. The sample variance is used to estimate the population variance, and it is an important measure of dispersion within a sample.
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View Policies Show Attempt History Current Attempt in Progress Your answer is partially correct. A pulley, with a rotational inertia of 2.4 x 10-2 kg-m² about its axle and a radius of 11 cm, is acted on by a force applied tangentially at its rim. The force magnitude varies in time as F = 0.60t +0.30t2, with F in newtons and t in seconds. The pulley is initially at rest. At t = 4.9 s what are (a) its angular acceleration and (b) its angular speed? (a) Number: 46.49 Units rad/s^2 (b) Number + 86.937 Units rad/s E |||
The angular acceleration and angular speed of the pulley at t = 4.9 s areA) 48.7 rad/s² and B)85.89 rad/s, respectively.
Given data :Rotational inertia of pulley about its axle = I = 2.4×10⁻² kg-m²
Radius of pulley = r = 11 cm = 0.11 mForce acting on pulley = F = 0.6t + 0.3t² at t = 4.9 s
(a) Angular acceleration of the pulleyThe torque applied on the pulley,τ = F×r
Torque is given byτ = I×αwhere α is the angular accelerationI×α = F×rα = F×r / II = 2.4×10⁻² kg-m²r = 0.11 mF = 0.6t + 0.3t² = 0.6×4.9 + 0.3×(4.9)² = 10.617 Nτ = F×r = 10.617×0.11 = 1.16787 N-mα = τ / I = 1.16787 / 2.4×10⁻² = 48.7 rad/s²
Therefore, the angular acceleration of the pulley is 48.7 rad/s².
(b) Angular speed of the pulleyUsing the relation,ω² = ω₀² + 2αθwhere ω₀ = initial angular speed of pulley = 0θ = angular displacement of pulleyAt t = 4.9 s, the angular displacement of pulley is given byθ = ω₀t + ½ αt²
where ω₀ = initial angular speed of pulley = 0t = 4.9 sα = 48.7 rad/s²θ = 0 + ½×48.7×(4.9)² = 596.22 rad
Therefore,ω² = 0 + 2×48.7×596.22ω = 85.89 rad/s
Therefore, the angular speed of the pulley is 85.89 rad/s.Thus, the angular acceleration and angular speed of the pulley at t = 4.9 s are 48.7 rad/s² and 85.89 rad/s, respectively.
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i really need help please help me
Answer:
The orginial angle is a right angle (however, the pair of angles would be classified as complementary angles); the value of x is 28.
Step-by-step explanation:
It's important to note that a right angle is always 90°.
90 - 56 = 34
Set up an equation to solve for x:
34 - 6 = x
34 - 6 = 28
28 = x
Now, check if the answer is correct.
Add up both angles' measurements:
56 + (28 + 6) = 90
$1,030 at 5% compounded semiannually for 2 years.
Do not put commas or dollar signs in your answer. Round to the nearest cent.
…. I need help
Answer:
1,678
Step-by-step explanation:
1030(1.05)^10 = 1677.76
Speedy Cav Company uses the following to determine ride costs:
A $5.00 flat fee for a ride.
An additional $0.75 for each mile traveled.
Which equation represents the cost of a car ride from Speedy Cab Company?
A. t = 5x + 0.75
B. t = 0.75 + 5
C. t = 0.75x + 5
D. t = 5x - 0.75