The right answer is Option C.
Step-by-step explanation:
A. 9/17 and 27/50
Using cross product;
[tex]\frac{9}{17}=\frac{27}{50}\\9*50=17*27\\450=459[/tex]
The ratio does not form proportion.
B. 12/35 and 24/75
[tex]\frac{12}{35}=\frac{24}{75}\\12*75=24*35\\900=840[/tex]
The ratio does not form proportion.
C. 15/55 and 33/121
[tex]\frac{15}{55}=\frac{33}{121}\\15*121=33*55\\1815=1815[/tex]
The ratio form a proportion.
D. 12/35 and 20/70
[tex]\frac{12}{35}=\frac{20}{70}\\12*70=20*35\\840=700[/tex]
The ratio does not form proportion.
The right answer is Option C.
Keywords: ratio, proportion
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Solve for k 1/4 k=3(-1/4K+3)
Answer:
k=9
Step-by-step explanation:
1/4k=3(-1/4k+3)
1/4k=-3/4k+9
1/4k-(-3/4k)=9
1/4k+3/4k=9
k=9
Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of the kite from the ground is meters.
Answer:
THE HEIGHT OF THE KITE FROM THE GROUND=80mtr
Step-by-step explanation:
let H be the height of kite from ground
[tex]\sin\theta[/tex]=[tex]\frac{height}{hypotenuse}[/tex]
[tex]\sin\90[/tex]=[tex]\frac{H}{80}[/tex]
1=[tex]\frac{H}{80}[/tex]
H=80meters
using the formula n3 +1 find the first three terms
Answer:
2, 9, 28
Step-by-step explanation:
To find the first 3 terms substitute n = 1, 2, 3 into the formula, that is
1³ + 1 = 1 + 1 = 2
2³ + 1 = 8 + 1 = 9
3³ + 1 = 27 + 1 = 28
The first 3 terms are 2, 9, 28
23,478 round to the nearest ten thousands
Rounding to the nearest ten thousands, look at the thousands number, if it is 5 or higher round up, if it is less than 5 round down.
The thousands number is 3, so round down to the neareast ten thousands:
The answer would be 20,000
The number 23,478 rounded to the nearest ten thousands is 20,000
How to determine 23,478 to the nearest ten thousandsFrom the question, we have the following parameters that can be used in our computation:
Number = 23,478
By definition, to round a number to the nearest nearest ten thousands, look at the next place value to the right (the hundred thousands)
Using the above as a guide, we have the following:
Number = 20,000 to to the nearest ten thousands
Hence, the number to to the nearest ten thousands is 20,000
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pls help answering a b and c
Answer:
a) The very first one where the line starts to the left
b) m=125.82
c) 320.81 thousand dollars
Step-by-step explanation:
a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left
b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.
c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get
y=125.82 (4)-182.47 =320.81 thousand dollars
Please help me will Mark you down as brainlest!
Answer:
p=0.15 p'=0.24 Option D
Step-by-step explanation:
Olivia bought a beach towel for $9.95
and a beach bag for $13.46. What is the
total amount of money that Olivia spent
on the two items?
Answer:
$23.41
Step-by-step explanation:
Add the cost of each item together.
$9.95 + $13.46 = $23.41
And there may have been sales tax as well but this information was not provided so it is not needed in the answer.
The number of gallons of water in a tank at an aquarium is equal to 8 to the power of 3. How many gallons of water are in the tank?
Answer:
512 gallons of water
Step-by-step explanation:
8 to the power of 3 simply means 8 times 8 times 8.
hoped it helped.
The student setup 30 games booths;the teachers also setup some. If 5/6 of the game booths were set up by the students, how many game booths are there in total?
The total number of game booths is 36, with the students setting up 30 booths denoting 5/6 of the total, and teachers setting up the remaining 6 booths which corresponds to 1/6 of the total.
Explanation:The student question asks about finding the total number of game booths if 5/6 of them were set up by students, and it is known that students set up 30 booths. First, we assume the fraction 5/6 represents the portion of booths that the students were responsible for setting up. Since 5/6 equates to the 30 booths the students set up, each fraction of 1/6 represents 6 booths (30 divided by 5). As there are 6 fractions of 1/6 in a whole, to find the total (which is 6/6), you simply multiply 6 (the value of 1/6) by 6.
The calculation is as follows: 6 booths per 1/6 x 6 = 36 game booths in total. Therefore, the teachers set up the remaining sixth, which corresponds to 6 game booths, making the combined total 36. This result indicates that there is a total of 36 game booths when we include the contributions from both students and teachers.
In this case, There are 36 game booths in total.
Let's denote the total number of game booths as T.
According to the information given, 5/6 of the game booths were set up by the students.
Since the students set up 30 game booths, we can write the following equation:
[tex]\[\frac{5}{6}T = 30\][/tex]
To find the total number of game booths, T, we need to solve for T.
We can do this by multiplying both sides of the equation by the reciprocal of 5/6, which is 6/5:
[tex]\[T = 30 \times \frac{6}{5}\][/tex]
Now, we calculate the value of T:
[tex]\[T = 30 \times \frac{6}{5}\][/tex]
T = 36
Therefore, there are 36 game booths in total.
Solve for m. 12m-15=3(2m+3)
Answer:
m = 4
Step-by-step explanation:
12m - 15 = 3 (2m + 3)
12 m - 15 = 6m + 9
12m - 6m - 15 = 6m - 6m + 9
6m - 15 = 9
6m - 15 + 15 = 9 + 15
6m = 24
(1/6) 6m = 24 (1/6)
m = 4
Step by step I need
The circumference of a circle with a 6 in diameter using pi
[tex]\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d = 6 \end{cases}\implies C=6\pi \implies C\approx 18.85[/tex]
A rectangle has an area of x2 + x-6 and a width of x-2. What is the length of the
rectangle?
Answer:
The length of the rectangle is x+3.
Step-by-step explanation:
(x^2+x-6)/(x-2)=x+3
Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6, which is the area.
Since the width is x-2, you can find the length very easily.
I’m going to need you guys to come in clutch. I’m in study hall and have 21 minutes left ( I still need to finish my essay) . You can do come on BRAINLY DONT LET ME DOWN
Step-by-step explanation:
For the given figure PQRS:
Given:
[tex]PS\perp SQ[/tex]
[tex]RQ\perp QS[/tex]
[tex]PQ\cong RS[/tex]
To prove
[tex]\triangle PSQ\cong \triangle RQS[/tex]
In Δ PSQ and ΔRQS
[tex]PS\perp SQ[/tex] [Given]
[tex]\angle PSQ=90\°[/tex] [Definition of perpendicular lines]
[tex]\triangle PSQ[/tex] is a right triangle [Definition of right triangles]
[tex]RQ\perp QS[/tex] [Given]
[tex]\angle RQS=90\°[/tex] [Definition of perpendicular lines]
[tex]\triangle RQS[/tex] is a right triangle [Definition of right triangles]
[tex]PQ\cong RS[/tex] [Given hypotenuse of both triangles congruent]
[tex]SQ\cong QS[/tex] [ By reflexive property of congruence side QS
congruent to itself ]
[tex]\triangle PSQ\cong \triangle RQS[/tex] [H.L. congruence postulate]
Thus triangles are are congruent by Hypotenuse Leg postulate.
Rishav takes a loan of rupees 10000 from a bank for a period of 1 year. The rate of interest is 10%
per annum. Find the interest and the amount he has to the pay at the end of a year.
Answer:
The simple interest on the given principal after 1 year = Rs. 1,000
The amount Rishav has to pay after an year = Rs 11,000
Step-by-step explanation:
Here, the Principal amount taken = Rs 10,000
Rate of Interest = 10%
Time Period = 1 year
Now, the SIMPLE INTEREST = [tex]\frac{P \times R \times T}{100}[/tex]
or, [tex]SI = \frac{10,000 \times 10 \times 1}{100} = 1,000[/tex]
So, the simple interest on the given principal after 1 year = Rs. 1,000
Now, Amount = Principal + Simple Interest
or , A = 10,000 + 1,000 = 11, 000
Hence, the amount Rishav has to pay after an year = Rs 11,000
Estimate the length of a new, unsharpened pencil. A. 18 mm B. 8 cm C. 18 cm D. 8 m
Two quantities are related, as shown in the table:
x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship?
y = 1 over 2 x + 2
y = 1 over 2 x + 1
y = x + 2
y = 2x + 1
Answer:
[tex]y = \frac{1}{2} x + 2[/tex].
Step-by-step explanation:
From the given table it is clear that x and y are linearly related.
Now, any two points that satisfy the relation between x and y are sufficient to express the equation.
The first two given points are (2,3), and (4,4).
Therefore, the equation is [tex]\frac{y - 4}{4 - 3} = \frac{x - 4}{4 - 2}[/tex]
⇒ [tex]y - 4 = \frac{1}{2} (x - 4)[/tex]
⇒ [tex]y - 4 = \frac{1}{2} x - 2[/tex]
⇒ [tex]y = \frac{1}{2} x + 2[/tex]. (Answer)
Answer:
A
Step-by-step explanation:
bc i said so
Jaxon's start up business makes a profit of $450 during the first month. however the company records a profit of -$60 per month and profit of $125 for the final month. what is the total profit for the six month of Jaxon's business.
Answer:
The total profit for the six month of Jaxon's business is $335.
Step-by-step explanation:
Here, the profit in the business for the first month = $450
Now, the company suffers for loss of $ 60 per month for 4 months.
SO, the total loss in 4 months = 4 x ( loss in 1 month)
= 4 x ( $ 60) = $240
So, the combined loss in next four months = $ 240
Lastly, the profit in the final sixth month of business = $ 125
So, combined PROFIT in the business = Profit in( First + Sixth) Month
= $ 450+ $ 125 = $575
Total loss in the six months = $ 240
Now, total profit for the six month of Jaxon's business
= Total Profit - Total Loss
= $575 - $ 240 = $335
Hence, the total profit for the six month of Jaxon's business is $335.
Which of the following point-slope form equations could be produced with the points (2, -6) and (4, -3)?
y - 6 = 3/2(x + 2)
y - 6 = 3/2(x - 2)
y + 6 = 3/2(x - 2)
y + 6 = -3/2(x + 2)
Answer:
y+6=[tex]\frac{\textbf{3}}{\textbf{2}}[/tex](x-2)Step-by-step explanation:
A line passes through the points [tex](2,-6)[/tex] and [tex](4,-3)[/tex].
To find the point-slope form of the line, we need a point on the line and the slope of the line.
As we have two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex], the slope can be calculated as [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
Slope of the line = [tex]\dfrac{-3-(-6)}{4-2}=\dfrac{3}{2}[/tex]
Given a line with slope [tex]m[/tex] and a point [tex](x_{1},y_{1})[/tex], slope-point form is [tex]y-y_{1}=m(x-x_{1})[/tex]
Line is given by [tex]y+6=\frac{3}{2}(x-2)[/tex]
∴ The line is given by [tex]y+6=\frac{3}{2}(x-2)[/tex]
Final answer:
The correct point-slope form equation with the points (2, -6) and (4, -3) is y + 6 = 3/2(x - 2), after finding the slope of 3/2 and applying it to the point-slope formula using either of the points.
Explanation:
Firstly, let's find the slope of the line passing through the points (2, -6) and (4, -3). The slope formula is
(y₂ - y₁) / (x₂ - x₁), so plug in the values to get (-3 - (-6)) / (4 - 2) = 3 / 2.
Now we know the slope is 3/2, we can write a point-slope form equation, which is y - y₁ = m(x - x₁). We can use either of the given points; let's use (2, -6). Substituting these values into the point-slope formula gives us: y - (-6) = 3/2(x - 2).
Thus, the correct point-slope form equation produced with the points (2, -6) and (4, -3) is: y + 6 = 3/2(x - 2).
For a certain value of k, the system
[tex]x+y+3z=10,\\
-4x+2y+5z+7,\\
kx+z=3,[/tex]
has no solutions. What is the value of k?
The value of k that makes the system of equations have no solution is k = -0.25. This is because -0.25 makes the third equation parallel to the first two, resulting in no intersection or solution to the system.
Explanation:The system of equations provided relates to the concept of systems of linear equations in mathematics. When a system of equations has no solution, it means the graphs of the equations do not intersect. To find the value of k where there is no solution, we determine when the planar coefficients of each equation are proportional. This occurs when the two planes are parallel and hence, do not intersect.
By examining the coefficients, we notice that dividing the coefficients from the first equation by -4 gives us the coefficients of the second equation, meaning the first two equations represent the same plane. Thus, k does not affect the first two equations. For the system to have no solutions, the third plane must be parallel to the first two, meaning the coefficients must have a ratio equal to k. If we set the coefficients from the third equation with the coefficients from the first one, we end with the proportion k/1 = 1/-4 = 3/10. Solving for k gives us a value of -0.25.
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The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic centimeters.
A solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it is shown. The rectangular prism is 20 centimeters long, 5 centimeters wide, and 5 centimeters high. The rectangular prism-shaped-hole is 20 centimeters long, 2 centimeters wide, and 2 centimeters high.
The volume of the solid is 420 cm³
Step-by-step explanation:
The volume a rectangular prism is calculated as the product of its length, width and height.
Mathematically, V=l*w*h where l is length of the prism, w is width and h is the height
Given that the dimensions of the rectangular prism as;
Length=20 cm
Width= 5 cm
Height = 5 cm
V=20*5*5= 500 cm³
The rectangular prism shaped hole dimensions are;
Length= 20 cm
width= 2 cm
Height= 2 cm
Volume= 20*2*2=80 cm³
The volume of the solid will be: volume of rectangular prism-volume of the hole
Volume= 500-80=420 cm³
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The volume of the solid rectangular prism with a hole is 420 cm³.
To find the volume of the solid rectangular prism with a hole, we follow these steps:
Volume of the Outer Rectangular Prism:
Using the formula V = l * w * h, where l is the length, w is the width, and h is the height of the outer rectangular prism:
Volume of the outer prism (V_outer) = 20 cm * 5 cm * 5 cm = 500 cm³.
Volume of the Rectangular Prism-shaped Hole:
Using the same formula for the inner rectangular prism:
Volume of the hole (V_hole) = 20 cm * 2 cm * 2 cm = 80 cm³.
Volume of the Solid:
Subtracting the volume of the hole from the volume of the outer prism:
Volume of the solid (V_solid) = V_outer - V_hole = 500 cm³ - 80 cm³ = 420 cm³.
Therefore, the volume of the solid rectangular prism with a hole is 420 cm³.
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Place the indicated product in the proper location on the grid.
(4ya - 6xb)(4ya + 6xb)
Answer:
Simplify the expression.
16y^2a - 36x^2b
Step-by-step explanation: hope this helps!
Rosa brought d drawings to an art show. After selling 15 of them, she had 38 left. Identify the equation that represents the situation and the correct solution.
The Answer:
D
Step-by-step explanation:
d=53
Write an equivalent time using only the smallest unit.
17. 2 h 26 min (1 point)
131 min
146 min
86 min
133 min
HELP NOW PLEASE
The equivalent time to 2 h 26 min is 146 min ⇒ 2nd answer
Step-by-step explanation:
Let us revise how to change a time from hours and minutes to minutes
1 hour = 60 minutesMultiply the number of hours by 60Add the number of minutes to the productEx: change 3 h 13 min to min, Multiply 3 by 60 and then
and the answer by 13 [(3 × 60) = 180 + 13 = 193], then
3 h and 13 min = 193 min
Let us do the same with your problem
2 h 26 min
∵ The number of hours = 2
∵ 1 hour = 60 minutes
∴ 2 hours = 2 × 60 = 120 minutes
∵ The number of minutes = 26
- Add 120 to 26
∴ 2 h 26 min = 120 + 26 = 146
The equivalent time to 2 h 26 min is 146 min
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Jade uses 8
8
cups of flour to make 24
24
muffins.
At that rate, how much flour will it take to make 30
30
muffins?
Answer:
Step-by-step explanation:
if we divided 24/8 we can see that i takes 1 cup of flower for every 3 muffins so what divided by 3 gives us 30? 10 so you would need 10 cups
What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
HURRY URGENT
Answer:
Parallelogram
Step-by-step explanation:
Mark has $80 to spend at a store. He will spend $56 on a shirt, and then buy some socks. Each pair of socks cost $6. He wants to buy as many pairs as possible. The following equation show how to find the number of pairs of socks can he buy; 80 = 56 + 6x. How many socks can he buy?
Answer: your answer is four
Step-by-step explanation: I basically did 80-56 since he bought a shirt that cost 56 dollars so then from that we found out how much money he has left which is $24 now since were looking for the amount of socks he could possible but I then divide $24 by 6 since each pair cost $6 which then gives you 4.
Please help quickly!
Answer:
times it by 3 on both sides should get 180
Step-by-step explanation:
Two skaters are racing towards the finish line of the race.the first Skater has a 40 meter lead and is traveling at a rate of 12 meter.the second skater is traveling at a rate of 14 meter per second.how long will it take for the second skater to pass the first skater?
Answer:
20 seconds
Step-by-step explanation:
The distance to cover between the lead skater and trailing skater is 40 meters
The lead skater's rate is 12 m/s
The trailing one's rate is 14 m/s
So, we can say:
second skater is accelerating, or covering up the distance, in 14 - 12 = 2 m/s
So, at a rate of 2 meters per second, how long would it take to cover 40 meters??
We use the distance formula, substitute the known and solve for unknown.
Distance Formula = D = RT
Where
D is distance
R is speed/rate
T is time
We know
r = 2 m/s
d = 40 m
t = ?
Now,
D = RT
40 = 2t
t = 40/2
t = 20 (seconds)
Hence,
it will take 20 seconds for the second skater to catch up (pass)
A particular strain of a common bacteria replicates itself every 14 minutes. Which of the following does this situation represent? A. neither a relation nor a function B. both a relation and a function C. a function only D. a relation only
Every 14 minutes, a type of bacteria reproduces itself. The whole situation represents also a relationship and a function. It multiplies itself all the 14 minutes, that is an exponential function.
Relation between 2 sets would be a group of ordered pairs containing 1 item from each set. When item x is from the first set as well as the object y is from the second set, the objects are said to be related if the item set (x,y) is now in the relation.A functional in math is a binary connection between two sets that associates each element of the first group with exactly one member of the opening pair.Therefore, the final answer is "Option B".
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Answer:
both a relation and a function
Step-by-step explanation:
The difference between two numbers is 78. Five times the smaller is equal to 6 more than the larger. What are the numbers?