Answers
The statements that are also valid based on the proportion are given as follows:
(m/p) = (n/q).(n/m) = (q/p).(q/n) = (p/m).How to obtain the valid statements?
The proportion for this problem is given as follows:
(m/n) = (p/q).
Applying cross multiplication, the proportion can also be written as follows:
mq = pn.
Then each statement in which the application of cross multiplication results in this product is valid.
Thus the third, fourth, and fifth options are the correct options, as the application of the cross multiplication for each of them results in the expression mq = pn.
For the first, second and sixth statements, they are not valid, as the application of cross multiplication would result in a different expression to mq = pn.
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Related Questions
Given the function g(x) = |x-5|, describe the graph of the function, including the vertex, domain, and range.
Answers
Answer:
Step-by-step explanation:
The graph will open upwards
Shifted to the right by 5
Vertex: (5,0)
Domain: x= All Real Numbers
Range: y[tex]\geq[/tex]0
Can someone help me with geometry
Answers
Answer:
Angle A = Right angleAngle B = Obtuse angleAngle C = Acute angleStep-by-step explanation:
The little square symbol made in intersection point of two rays of angle A represents a right angle.
Angle B looks greater than Angle A but less than 180° (straight line) And Angle C looks smaller than Angle A but greater than 0 in measure.
Angle that lies between 0° and 90° = acuteAngle that measure 90° = rightAngle that lies between 90° and 180° = obtuseAnswer:
A. Right angle - it's is a right angle bcuz it's of 90° and perpendicular.
B. Obtuse angle - it's an obtuse angle bcuz it's more than 90°
C. Acute angle - it's an acute angle bcuz it's less than 90°
Divide 2 5/16 ÷ 7/8
helpppppppppp
Answers
Answer:
When dividing fractions we "invert and multiply".
First, we should change 2 (5/16) to 37/16.
So, 37 / 16 divided by 7 / 8 equals
37 / 16 times 8 / 7
which equals 296 / 112 = 37 / 14 which equals
2 (9/14)
Step-by-step explanation:
The owner of a ski resort estimates that a new 4-person ski lift will cost $5,000,000. The owner begins making payments on March 1 and every three months thereafter for 5 years into an account that earns 4% annual interest compounded quarterly. What payment amount must the owner make to have the cost of the ski lift in 5 years? Round your answer to the nearest cent.
Answers
The quarterly payment that the ski resort owner must make in 5 years to have the cost of the ski lift is $277,076.57.
How is the quarterly payment determined?The quarterly payment can be computed by determining the ski lift's total cost (future value).
Dividing the future cost or value by the number of periods (quarters) results in quarterly payments.
Data and Calculations:N (# of periods) = 20 quarters (5 x 4)
I/Y (Interest per year) = 4%
PV (Present Value) = $5,000,000
FV (Future Value) = $0
Results:
PMT = $277,076.57
Sum of all periodic payments = $5,541,531.49
Total Interest = $541,531.49
Thus, the quarterly payment that the ski resort owner must make in 5 years to have the cost of the ski lift is $277,076.57.
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There are 135 people in a sport centre.
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 people use all three facilities.
A person is selected at random.
What is the probability that this person uses at least 2 facilities?
Answers
Probability that this person uses at least 2 facilities is; 0.556
How to Interpret Venn Diagrams?
We are told that 14 people use all three facilities. This means:
36 − 14 = 22 represents the number of people that are using the gym and the pool but no the track.
35 − 14 = 21 represents the number of people that are using the pool and the track but no the gym.
32 − 14 = 18 represents the number of people that are using the gym and the track but no the pool.
Thus, total number of people that use at least 2 facilities = 14 + 22 + 21 + 18 = 75
Since total number of people at the sports center is 135, then it means that;
Probability that this person uses at least 2 facilities = 75/135 = 0.556
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If angle 2 = 6x + 5 and angle 4 = 4x + 14, what is the value of angle 2? Round your answer to the hundredths place.
Answers
Answer:
32°
Step-by-step explanation:
Angles 2 and 4 are vertical angles, so they are congruent. That means that their measures are equal.
First, we set their measures equal to each other.
Then we solve the equation for x.
Then, we use the value of x to find the angle measure.
m<2 = 6x + 5
m<4 = 4x + 14
Set the measures equal.
6x + 5 = 4x + 14
Subtract 4x from both sides.
2x + 5 = 14
Subtract 5 from both sides.
2x = 9
Divide both sides by 2.
x = 4.5
m<2 = 6x + 5
m<2 = 6 × 4.5 + 5
m<2 = 27 + 5
m<2 = 32
Answer: 32°
Y₁ = 10x-4, y2 = 6x +17, and y₁ exceeds y₂ by 3.
Answers
Answer:
y1+3=y2
10x-4=10x-4+3
A billboard painter is using a pulley system to hoist a can of paint up to a scaffold at a rate of half a meter per second. The height of the can of paint as a function of time is given by h(t) = 0.5t + 8. Five seconds after he starts raising the can of paint, his partner accidentally kicks a paint brush off of the scaffolding, which falls to the ground. The height of the falling paint brush can be represented by h(t) = −4.9(t − 5)2 + 38. When does the brush pass the paint can? If necessary, round your answer to the nearest hundredth.
Answers
The value of the t in the linear equation is 10 approximately.
According to the statement
We have to find that the value of the t.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
The equations are:
h(t) = 0.5t + 8.
h(t) = −4.9(t − 5) + 38.
Then
= 0.5t + 8
= −4.9(t − 5) + 38.
And
= 0.5t + 8
= −4.9t + 24.5 + 38.
And
= 0.5t + 8
= −4.9t + 62.5
Now,
Subtact the equations then
= 0.5t + 8 - (−4.9t + 62.5)
= 0.5t + 8 + 4.9t - 62.5
= 0.5t + 4.9t - 62.5+8
= 5.4t -54.5
Then
5.4t = 54.5
t = 54.5/5.4
t = 10.092.
So, The value of the t in the linear equation is 10 approximately.
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1
A 13 km stretch of road needs repairs. Workers can repair 3 km of road per week.
1312/321
How many weeks will it take to repair this stretch of road?
weeks
Answers
The average time taken by workers to complete the repairing of the road is about the 4 and half weeks.
According to the statement
We have to find that the Time taken by the workers.
So, For this purpose, we know that the
Average time is a measurement that evaluates how long a works spends on repairing roads.
From the given information:
A 13 km stretch of road needs repairs. Workers can repair 3 km of road per week.
Then
If worker complete 3 km of the road in the 7 days
Then
Workers complete 13 km in the days = Total distance / Average distance
Then
Workers complete 13 km in the days = 13 / 3
Workers complete 13 km in the days = 4.33 weeks.
So, The average time taken by workers to complete the repairing of the road is about the 4 and half weeks.
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Find and y.
x
A
8
||
y=
B
»
yx
18
D
Answers
The solution of the given equations that is x = 7 and x + y = 18 is :
x = 7
y = 11
What is a parallelogram ?
A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.
The figure shown is an parallelogram, where length of opposite sides are equal to each other
From the figure,
x = 7, as opposite side of x is given as 7
x + y = 18,
Putting the value of x in the above equation,
7 + y = 18
y = 18 - 7
y = 11
Therefore, we get after solving the given equations :
x = 7
y = 11
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Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Charlie had left Memphis and drove 5.5 hours towards New Orleans. Violet had left New Orleans and drove 2 hours towards Memphis, at a speed 10 miles per hour faster than Charlie's speed. The distance between Memphis and New Orleans is 395 miles. Find the speed, in miles per hour, of the two drivers.
Answers
Charlie 50 miles per hour
Violet 60 miles per hour
It is given that the distance between Memphis and New Orleans is 395 miles. This means, the total distance both covered = 395 miles
Charlie drove for 5.5 hours and Violet drove for 2 hours. Let the speed of Charlie be x miles per hour. Since, the speed of Violet was 10 miles per hour faster than Charlies, the speed of charlie was (x + 10) miles per hour
Since, distance = speed × time
Distance covered by Charlie = 5.5x
Distance covered by Violet = 2(x + 10)
Altogether they covered 395 miles,
So,
395 = Distance covered by Charlie + Distance covered by Violet
395 = 5.5x + 2(x + 10)
395 = 5.5x + 2x + 20
375 = 7.5x
x = 375/7.5
x = 50 mph
Since, x represents the speed of Charlie, the speed of charlie was 50 miles per hour and speed of Violet =
Speed of Charlie +10
50+10 =60
speed of Violet =60mph
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Justify Reasoning The quotient of two negative integers results in an integer. How does the value of the quotient compare to the value of the original two integers? Explain.
Answers
The quotient compares to the value of the original two integers as it's a positive number.
How to calculate the value?The result of dividing two numbers is a quotient; the divided number is referred to as the dividend, and the number by which it is divided is referred to as the divisor.
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.
From the information, the quotient of two negative integers results in an integer.
Fur example, -4 divided by -2 will give a value of 2. Therefore, the quotient of the negative numbers is a positive number.
Therefore, the quotient compares to the value of the original two integers as it's a positive number.
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Finx, inc, purchased a truck for $40,000. The truck is expected to be driven 15,000 miles per year over a five-year period and then sold for approximately$5000.
Determine depreciation for the first year of the trucks useful life by the street wine in units of output methods if the truck is actually driven 16,000 miles.
Round to two decimal places.
Answers
The depreciation for the first year of the truck's useful life is $32,000.
The cost of the truck is $40000.
The useful time is 5 years.
The residual value is $5000.
Now, the depreciation is given as:
SLM depreciation = (Cost - Residual Value) / 5 years
Depreciation expense per year = ($40,000 - $5,000) / 5
Depreciation expense for the first year = $7,000
Now,
The depreciation expense per mile is the difference between cost and residual value divided by expected miles over the truck's life.
Depreciation expense per mile = (Cost - Residual Value) / Expected miles over truck's life.
Depreciation expense = Depreciation expense per mile × Miles driven
Therefore,
Depreciation expense per mile will be:
= ($40,000 - $5,000) / 15,000 miles = $2.33 or $2
The first year depreciation will be:
= 16,000 miles × $2 per mile = $32,000
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Write down all the whole numbers that are between 25 and 50 and have a difference of 4 between their digits. please and thanks
Answers
these are the only ones i can find
26 37 40 48
Graph the line whose x -intercept is 9 and whose y-intercept is 7.
Answers
The x-intercepts and y-intercepts (9,0) and (0,7) respectively.
In geometry, a line draw in between the coordinate axes by using the intercepts. The intercepts are the intersecting points of the points of the line with coordinate axes. The intersecting point of the line with x - axis is called the x - intercept (a,0). Here a is the intercept length.
Similarly, The intersecting point of the line with y - axis is called the y - intercept (0,b). Here b is the intercept length.
Now,
The x-intercept (a) = 9
So, the x - intercept point is (9,0)
and
The y - intercept (b) = 7
So, the y - intercept point is (0,7)
Now, the graph of the line :
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There is a proportional relationship between the number of quarts and number of gallons for liquid measurements. What constant of proportionality relates gallons to quarts?
Answers
The value of constant of proportionality that relates gallons to quarts is 0.25 .
A constant of proportionality may be a constant worth for the magnitude relation of 2 proportional quantities. If the magnitude relation or product is constant, the 2 variables area unit proportional. the worth of the constant of quotient depends on the kind of relationship between the 2 given quantities (positive versus inverse variation).As we all know that one gallon have four quartz.
The proportional relation is written as y = kx.
We know that y varies proportionately with x.
Substitute within the such that x = four and y = one values and solve for k.
1 = k(4)
k =1 /4 = 0.25
Therefore the constant of proportionality is 0.25
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ill give brainly and 10 points
Answers
Answer: D
Step-by-step explanation:
Your return on investment A is 4.5% and your return on investment B is 3%. If the total of your investment is $75,000, how much should you invest in each fund to obtain a return of 4%?
Answers
One has to invest $50000 in A and $25000 in B
Let x represent the investment in A and y represent the investment in B.
Total investment is $75,000 ( given )
hence x + y=$75,000 (from the above information)
x + y= 75,000 (equation 1)
Interest rate in A is 4.5 % and Interest rate in B is 3 %
now, 4% of $75000 = $3000
4.5x/100 + 3y/100 = $3000
= 4.5x+3y=300000 ( equation 2 )
Multiplying 3 to equation 1
which equals to 3x + 3y= 225000 ( equation 3 )
Solving equations: equation 2 & equation 3
4.5x+3y=300000 ( equation 2 )
3x + 3y= 225000 ( equation 3 )
(-) (-) = (-)
1.5x = 75000
x= 50000
substituting x= 50000 in equation 1 (x + y= 75,000)
50000 + y= 75,000
⇒y =75000-50000
⇒y=25000
Hence, Check can be done by multiplying the interest rates with the respective answer and summing them to get $3000
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During one year, the Larsons' real estate bill included $401 for local schools. Of this amount, $145 went to the high
school district. What percent did the Larsons pay to the high school district?
Answers
According to the solving the percent Larsons pay to the high school district 63.8%.
Describe percentage:A % is a relative figure that represents one-tenth of a quantity. One percent (symbolized 1%) is the hundredth part; consequently, 100 percent denotes the complete amount and 200 percent specifies twice the supplied number.
How do you write percentages?In scientific and engineering writing, use the symbol% to denote percent, except when expressing numerals at the beginning of a phrase. When writing the word, use the form percent as opposed to the archaic version percent. During the test period, just 3% of the systems crashed.
According to the given data:Bill included $401 for local schools
$145 went to the high school district
Amount Remaining = $ 401 - $145
= $ 256
Percent Larson's pay to the high school district is:
256/401
.638 x 100
= 63.8%
According to the solving the Larsons pay to the high school district 63.8%.
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The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 51 minutes of calls is $17.24 and the monthly cost for 95 minutes is $22.52. What is the monthly cost for 68 minutes of calls?
Answers
With respect to the linear function, the monthly cost for 68 minutes of calls is $19.28 if 51 minutes and 95 minutes cost $17.24 and $22.52 respectively.
What is the slope of the cost function?The slope of the cost function which is the same as the variable charge per minute of call is determined by:
(the total costs of the highest activity - the total cost at the lowest activity) /the difference between the number of call minutes slope (cost per minute)
= ($22.52-$17.24)/(95-51)
Slope (cost per minute) =$0.12y
=a+bxy
=total cost
=$22.52
Note that:
a = fixed charge = unknown
b = slope = $0.12x = number of minutes = 9522.52
= a+(0.12*95)22.52
= a+11.40a =22.52-11.40a
=11.12y
= 11.12+0.12x
when x = 68y
= 11.12+(0.12*68)y
= total cost for 68n minutes
=$19.28
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The monthly cost for 68 minutes of calls is $19.28
What is the equation of straight-line?
The equation of straight-line considers the fixed charge of using phone plan per month plus the total variable cost of minutes of call, I mean the cost per minute of the plan can be determined by computing the slope of the straight-line equation
slope=(total cost for 95 minutes-total cost of 51 minutes)/(95-51)
total cost for 95 minutes=$22.52
total cost of 51 minutes=$17.24
slope=($22.52-$17.24)/(95-51)
slope= variable cost per minute=$0.12
We can determine the fixed charge per month using the straight-line equation and cost for 95 minutes
y=a+bx
y=total cost=$22.52
a=fixed charge per month=unknown
b=cost per minute=$0.12
x=number of minutes=95
$22.52=a+($0,12*95)
$22.52=a+$11.40
a=$22.52-$11.40
a=$11.12
total cost(68 minutes)=a+bx
a=$11.12
b=$0.12
x=68
total cost=$11.12+($0.12*68)
total cost=$19.28
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John wrote the numbers 678901 and 67890. How many times greater is the value of 7 in 678901 than the value of 7 in 67890?
Answers
Answer:In the number, 687,760, there are two 7s; one is at a place value of hundred and the other is at thousand.
Hence, the higher place value 7 is 10 times greater than lower place value 7. Every consecutive place value is 10 times greater than the right one.
Step-by-step explanation:
The graph represents the number of hours that Walter sleeps in terms of the number of days.
Graph shows a ray plotted in quadrant 1 of a coordinate plane with Days on X-axis, and Hours of Sleep on Y-axis. The ray begins at the origin and it extends upward, slanting right, through (2, 16) and (4, 24).
Which function represents Walter’s situation?
A.
y = 6x
B.
y = 6
C.
y = 8
D.
y = 8x
Answers
Answer:
I believe D is the answer to the question above.
Step-by-step explanation:
Answer: pretty sure its D
Step-by-step explanation:
27) A magician has a bag of colored scarves for a magic trick that he performs. The bag contains 3
blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. If the magician removes scarves at
random and the first scarf he removes is red, what is the probability that the next scarf will be orange?
28) A card is drawn at random from a deck of cards. Find the probability of getting the ace of spades.
29) A card is drawn at random from a deck of cards. Find the probability of getting a king, queen, or
jack.
Answers
a. The probability that the next scarf will be orange will be 1/5.
b. The probability of getting the ace or spades will be 17/52.
c. The probability of getting a king, queen, or jack will be 3/14.
How to calculate the probability?a. The bag contains 3 blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. The probability that the second scarf will be orange will be:
= 2/(3 + 5 + 2)
= 2/10
= 1/5
B. When a card is drawn at random from a deck of cards, the probability of getting the ace or spades will be:
Total number of cards withe the ace = 52
Total number of ace = 4
Number of spade = 13
The probability will be:
= 4/52 + 13/52
= 17/52
C. The probability of getting a king, queen, or
jack will be:.
= 4/52 + 4/52 + 4/52
= 12/52
= 3/14
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is q=2p+1/2 proportional?
Answers
Answer:
Step-by-step explanation:
a(i) q = 2p + (1/2)
(ii) v = (1/10)u
(iii) t = 15d
(iv) m = 0.75d - 2
2p is added by the same constant so it's not proportional
Fill in the blank with the missing number that makes this a true equation.
9/10 − 11/__ = 1/6
Answers
Explanation :
1/6 - 9/10 =
5/30 - 27/30 = -22/30 = -11/15
Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time. How many baseball cards does Jose have?
Answers
When Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.
How to illustrate the information?It should be noted that the information is to simply find the numbers. This van only be done through manipulation.
The number is 61. It should be noted that:
61 / 3 = 20 remainder 1
61 / 4 = 15 remainder 1
61 / 5 = 12 remainder 1.
61 / 6 = 20 remainder 1.
Therefore, when Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.
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7) Juan makes a base monthly salary of $3600. As a vendor, he must sell $35000 worth of items per month. He also makes a 9% commission on all sales beyond the monthly quota. There is also an additional 9% bonus on top of the normal commission rate for any sales beyond $52500. If Juan sold $56000 worth of items this month, what is his total salary for the month including base salary and commission to the nearest dollar?
Answers
The salary for the month for Juan including base salary and commission is $5805.
How to calculate the value?It should be noted that that Juan makes a base monthly salary of $3600 and he must sell $35000 worth of items per month. He also makes a 9% commission on all sales beyond the monthly quota.
Also, there is also an additional 9% bonus on top of the normal commission rate for any sales beyond $52500.
The total salary will be:
= $3600.+ (9% × $56000 - $35000) + (9% × $56000 - $52500)
= $3600 + $1890 + $315
= $5805
Therefore, the salary for the month for Juan including base salary and commission is $5805.
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Y= -4x-10
For all prime numbers less then 15
Answers
The values of y for all the prime numbers less than 15 are -14, -18, -22, -30, -28, -54, -62
What are prime numbers?Prime numbers are defined as numbers that have only two factors:
The number 1Number itselfFrom the information given, we need to find the value of x as prime numbers less than 15
The prime numbers that are less than 15 are:
1, 2, 3, 5 , 7, 11, 13
Now, let's substitute each as the value of x as follows
Substitute x as 1
y = - 4(1) - 10
y = -4 - 10 = -14
Substitute x as 2
y = -4(2) -10
y = -8 - 10 = -18
Substitute x as 3
y = -4(3) - 10
y = -12 -1 0 = -22
Substitute x as 5
y = -4(5) - 10
y = -20 - 10 = -30
Substitute x as 7
y=-4(7) -10
y = -28 - 10 = -38
Substitute x as 11
y = -4(11) - 10
y = -44 - 10 = -54
Substitute x as 13
y = -4( 13) - 10
y = -52 - 10 = -62
Thus, the values of y for all the prime numbers less than 15 are -14, -18, -22, -30, -28, -54, -62
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Find the value of r so the line that passes through each pair of points has the given slope.
(r, 7), (3, 4), m = -3/5
Answers
The value of r so that the line passes through (r, 7), (3, 4) and slope of - 3 / 5 is - 2.
How to find the pair of point of a line using the slope?The slope of the line is given as m = - 3 / 5.
The pair of point are (r, 7)(3, 4).
Using slope intercept form equation is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using (3, 4) we will find the y-intercept
y = - 3 / 5 x + b
4 = -3 / 5 (3) + b
4 = - 9 / 5 + b
b = 4 + 9 / 5
b = 20 + 9/ 5
b = 29 / 5
Therefore, the equation of the line is as follows;
y = - 3 / 5x + 29 / 5
Hence, let's find r (r, 7)
7 = -3 / 5(r) + 29 / 5
7 - 29 / 5 = -3 / 5 r
35 - 29/ 5 = -3 / 5 r
6 / 5 = - 3 / 5 r
cross multiply
-15r = 30
divide both sides by -15
r = 30 / -15
r = -2
Therefore, the value of r is -2.
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There are 35 green, 22 white, 30 purple and 14 blue gumballs in the gumball machine. Sharee wants to get a white or green gumball. What is the probability of getting a Green gum ball
Answers
The probability of getting a green gum ball is 0.35 (35/101)
What is probability?Probability is the measure of chance that some event would happen.
Probability that an event will occur = (No of favorable possibilities of the event) / (total possible possibilities)
Given that there are 35 green,22 white, 30 purple and 14 blue gumballs in the gumball machine.
Therefore, Total gum balls = 35+22+30+14 = 101
The probability of getting a green gumball = no of green gumballs/ total gumballs
Therefore, probability of getting a green gumball = 35/101 = 0.35
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