Using proportions, it is found that Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.
This question is solved by proportions, using a rule of three.Considering that there are 4 people and the rent is of x Rp.r, 4 people pay x, how much does Ankita, which is one person, pay?The rule of three is:
4 people - x
1 people - a
Applying cross multiplication:
[tex]4a = x[/tex]
[tex]a = \frac{x}{4}[/tex]
Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.
You can learn more about proportions at https://brainly.com/question/24372153
How long does it take for sunlight to reach earth? Show Work!
Answer: 8.3 minutes
Step-by-step explanation:
The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.
Which inequality is displayed on the number line?
If the average volume flow of blood through the aorta is 8.5 × 10-5 m 3/s and the cross-sectional area of the aorta is 3.0 × 10 -4 m2, what is the average speed of blood in the aorta?
Help me:)
The average speed of blood in the aorta is 0.2833 m/s
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
From the question, to calculate the average speed:
Average speed = Volume rate / cross sectional area
Average speed = 8.5 * 10⁻⁵ / (3 * 10⁻⁴) = 0.2833 m/s
The average speed of blood in the aorta is 0.2833 m/s
Find out more on average speed at: https://brainly.com/question/680492
Insert two rational number between 1.3 bar and 1.4 bar
General method:
Given numbers are 1.3 bar and 1.4 bar
1.3 bar = 1.333...1.4 bar = 1.444...Two rational numbers between them
= 1.3222... and 1.43333...
Mean Method:
Let X = 1.333... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.333...×10
⇛10X = 13.333... → → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 13.333...
X = 1.333...
(-)
____________
9X = 12.000...
____________
⇛9X = 12
⇛X = 12/9
⇛X = 4/3
and
Let X = 1.444... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.444...×10
⇛10X = 14.444...→ → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 14.444...
X = 1.444...
(-)
____________
9X = 13.000...
____________
⇛9X = 13
⇛X = 13/9
Now we have 12/9 and 13/9
The rational number between them by mean method (a+b)/2
⇛{(12/9)+(13/9)}/2
⇛(25/9)/2
⇛25/18
and Second rational number
⇛{(12/9)+(25/18)}/2
⇛{(24+25)/18}/2
⇛(49/18)/2
⇛49/36
Answer: The two rational numbers between them are 25/18 and 49/36.
also read similar questions: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?
https://brainly.com/question/85169?referrer
Jacob has 4 reams of paper. Each ream of paper has 250 sheets of paper.
He will take the paper and make booklets. Each booklet will use 8 sheets of
paper What is the greatest number of booklets Jacob can make with this
amount of paper?
A 262
B. 125
C 1,008
D. 575
1 ream = 250 papers
=> 4 reams = 250 x 4=> 4 reams = 1000 papers.1 booklet = 8 papers
=> 1000 ÷ 8 = x booklets=> 125 bookletsConclusion:Therefore, with 4 reams of paper, Jacob will be able to create 125 booklets.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Sally has a rectangular garden that is surrounded by a 6ft-wide and 8ft-long fence. However, she wants to expand her garden so that it is twice as wide and twice as long. What is the new perimeter of her garden?
Based on the information given, it can be deduced that the perimeter of the garden will be 56 feet.
Since the rectangular garden is surrounded by a 6ft-wide and 8ft-long and Sally wants to double the dimensions, the new dimensions will be 12ft and 16ft.
Perimeter of a rectangle = 2(l + w)
Perimeter = 2(12 + 16)
Perimeter = 2(28)
Perimeter = 56 feet.
Learn more about perimeter on:
https://brainly.com/question/24382052
expain plese and txsss
Answer:
(x-16)(x+2)
Step-by-step explanation:
-32=-16*2
-16+2=-14
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l 2w ≤ 200. Which are possible dimensions for Mike’s backyard? Check all that apply. W = 50 ft; l = 10 ft w = 10 ft; l = 50 ft w = 20 ft; l = 60 ft w = 90 ft; l = 30 ft w = 50 ft; l = 40 ft.
The inequality that models the possible perimeter of the yard is 2(l + w) ≥ 200
The possible dimension of the width is 90 feet
The formula for calculating the perimeter of the fence is expressed as:
P = 2(l + w)l is the length of the fencew is the width of the fenceIf he has 200 feet of fencing, then:
2(l + w) ≥ 200
If the length of the fenced-in area to be at least 20 feet long, the equation becomes:
2(20 +w) ≥ 200
40 + 2w ≥ 200
2w ≥ 200 - 40
2w≥ 160
w≥ 80
Hence the possible dimension of the width is 90 feet
Learn more on inequalities here: https://brainly.com/question/10709615
Interest earned: $76
Principal: $800
Interest rate:?
Time: 2 years
Answer:
19%
interest earned = base × time × rate
interest rate = interest earned/ base × time
76/800*2 = 0.19 = 19%
Help plzz I don’t get it
x intercept The x intercept is the point where the line crosses the x axis. At this point y = 0.
find measure of angle b
Answer:
9. b=120 8. b=43 11 b=84 12 b=23
Step-by-step explanation:
number 9 the angle is equals to 189 number 10 they're both the same and 11 is equal to 180, 12 the angle is equal to 90
please help me Simplify (4m3)2.
Therefore, the simplified form of (4m3)2 is 24m.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
solve plssssssssssssssssssssssssssssssssssssssssssssss
If any questions leave a comment
Answer:
[tex]\frac{973}{324} [/tex]
Step-by-step explanation:
[tex] ( - \frac{ 27}{64} - ( - \frac{125}{8} ))\times ( \frac{2}{3} )^{4} [/tex]
[tex] ( - \frac{ 27}{64} + \frac{125}{8} ) \times \frac{16}{81} [/tex]
[tex] \frac{973}{64} \times \frac{16}{81} [/tex]
[tex] \frac{973}{4} \times \frac{1}{81} [/tex]
[tex] \frac{973}{324} [/tex]
A line passes through the points (8, -1) and (-4, 2).
10
8
6
4
-10 -3 -6 6 -2
2
4
6
8
10
X
4
-6
do
8
-10
What is the y-intercept of this line?
Answer:
The y-intercept of this line is 1 (or (0, 1) )
Step-by-step explanation:
Going from (8, -1) to (-4, 2), the x-coordinate decreases by 12 and the y-coordinate increases by 3. Thus, the slope of this line is m = rise/run = 3/(-12), or m = -1/4.
Let's use this information (x = 8, y = -1, m = -1/4) and the slope-intercept formula y = mx + b to find the y-intercept (b):
-1 = (-1/4)(8) + b, which simplifies to -4 = -8 + 4b. Solving for b, we get
4 = 4b, so that b must be 1.
The y-intercept of this line is 1 (or (0, 1) )
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
x= -3
y= 1
Step-by-step explanation:
You can graph this on Desmos Graphing Calculator and look at the vertex on the graph.
Two times 3X times Y times 4Z times X times Y times Z
Answer:
24*(X^2)*(Z^2)*(Y)
Step-by-step explanation:
2*(3X)*(4Z)*(X)*(Y)*(Z)
2*(3X^2)*(4Z)*(Y)*(Z) [Combine like terms (X)]
2*(3X^2)*(4Z^2)*(Y) [Combine like terms (Z)]
24*(X^2)*(Z^2)*(Y) [Combine like terms (2*3*4)]
Which one of Aiko's steps makes a false assumption? Why is it false?
Aiko's Proof:
1. Draw 2 rectangles. Label one ABCD and the other PQRS
2. Translate rectangle ABCD by the directed line segment from A to P.A' and P now coincide. The points coincide because that's how we defined
our translation
3. Rotate rectangle A'B'C'D' by angle D'A'S. Segment A"D" now lies on ray PS. The rays coincide because that's how we defined our rotation.
4. Dilate rectangle A"B"C"D" using center A" and scale factor AD. Segments A"D" and PS now coincide. The segments coincide because A" was
the center of the rotation, so A" and P don't move, and since D" and S are on the same ray from A", when we dilate D" by the right scale factor, it
will stay on ray PS but be the same distance from A" as S is, so S and D' will coincide.
5. Because all angles of a rectangle are right angles, segment A'B' now lies on ray PQ. This is because the rays are on the same side of PS and
make the same angle with it (If A'B' and PQ don't coincide, reflect across PS so that the rays are on the same side of PS.)
6. Dilate rectangle A"B"C"D" using center A" and scale factor AB Segments A'"'**" and PQ not coincide by the same reasoning as in step 4.
7. Due to the symmetry of a rectangle, if 2 rectangles coincide on 2 sides, they must coincide on all sides.
Answer:
6th step is wrong
Step-by-step explanation:
We have the dilation transformations we only needed one, and that is the 6th step. It would make more sense to do the dilation transformation early in the steps and we already did these steps at the beginning.
Help help help on marhswatch please help!!
7x-35<2x-10 distribut it
7x-2x<-10+35 collect like them
5x<25 divide both side by 5
x<5
Felipe jogs for 3 miles and then walks another 3 miles. He jogs 1 and 1/2 miles per hour faster than he walks, and the entire distance of 6 miles takes 3 hours. Find the rate at which he walks and the rate at which he jogs.
Answer:
walking: 1.5 mphjogging: 3 mphStep-by-step explanation:
Let w represent Felipe's walking speed in miles per hour. Then his total travel time is ...
time = distance/speed
3 = 3/w +3/(w+1.5) . . . . . total time is the sum of walking and jogging times
1 = 1/w +1/(w +1.5) . . . . . divide by 3
w(w +1.5) = (w+1.5) +w . . . . multiply by w(w+1.5)
w^2 -0.5w -1.5 = 0 . . . . . . subtract 2w+1.5
(w -1.5)(w +1) = 0 . . . . . . . factor
The values of w that make this equation true are w = 1.5 and w = -1. Only the value 1.5 makes any sense in this scenario. Felipe's jogging speed is then 1.5+1.5 = 3 mph.
Felipe walks at 1.5 mph and jogs at 3 mph.
1. What is the exact distance from (-4,-2) to (4, 6)?
O 24 units
O 188 units
O V100 units
O V128 units
the total cost of a watch and a radio is rs 500 .If the watch is cheaper than the radio by rs 150,find their cost
What is the value of the digit in the millions place?
56,931,446
A. 9,000,000
B. 50,000,000
C. 6,000,000
D. 400,000
Answer:
C 6,000,000
Step-by-step explanation:
What is the probability of picking an 8 and then picking a number greater than 6?
What is the y-intercept of the line?
Answer:
1
Step-by-step explanation:
Ragnar's bathroom has 148 tiles in it. He found that his kitchen has 7 times as many tiles as his bathroom.
How many tiles are in Ragnar's kitchen?
Answer:
148*7=1036
Hope This Helps!!!
Step-by-step explanation:
The answer,
148×7 = 1,036
Jessica is wrapping a gift in a rectangular box with gift wrapping paper for a birthday party. The box is 11 inches long, 8 inches wide, and 5 inches tall. How much gift wrapping paper will she need to wrap the box
Using the surface area of a rectangular prism, it is found that she will need 366 square inches of wrapping paper to wrap the box.
He wraps the box with paper outside, hence, the amount needed is the surface area.
Surface area:The surface area of a rectangular prism of length l, width w and height h is given by:
[tex]S = 2(lw + lh + wh)[/tex]
In this problem, the dimensions of 11 inches long, 8 inches wide, and 5 inches tall mean that [tex]l = 11, w = 8, h = 5[/tex]. Hence:
[tex]S = 2[11(8) + 11(5) + 8(5)] = 366[/tex]
She will need 366 square inches of wrapping paper to wrap the box.
You can learn more about the surface area of a rectangular prism at https://brainly.com/question/1310421
Help me please 13x55x10
A print shop at a community college in Cupertino, California, employs two different contractors to maintain its copying machines. The print shop needs to have 12 IBM, 18 Xerox, and 20 Canon copying machines serviced. Contractor A can repair 2 IBM, 1 Xerox, and 2 Canon machines at a cost of $800 per month, while Contractor B can repair 1 IBM, 3 Xerox, and 2 Canon machines at a cost of $1000 per month. What is the minimum cost to employ the contractors? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.
The cost to employ the contractors is $11250
The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.
Moreover, to determine the cost to employ the contractors, we need to determine their total wage:
Contractor A: $800 (Includes the repairment of 2 IBM, 1 Xerox, and 2 Canon machines).Contractor B: $1000 (Includes the repairment of 1 IBM, 3 Xerox, and 2 Canon machines.Total: $1800 to repair 3 IBM, 4 Xerox, and 4 Canon machinesTotal machines to be repaired: 12 IBM, 18 Xerox, 20 Canon machines.Now, for all the machines to be repaired you will need to pay a total of $9000
$1800 x 5 = $ 9000 (Includes the repairment of 15 IBM, 20 Xerox, and 20 Canon machines, which will cover all the machines you need).Finally, let's find out the cost using the minimum rate.
$9000 x 1.25 = $11,250
Learn more about general cost in: https://brainly.com/question/3902215
Answer:
$8800
Step-by-step explanation:
Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by
C(x,y)=800x+1000y
The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.
2x+y≥12
The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.
x+3y≥18
The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.
2x+2y≥20
The fact that x and y must be positive numbers is represented by the following two constraints:
x≥0,y≥0
Using all of this information, our problem is as follows.
Minimize: C(x,y)=800x+1000y
Subject to: 2x+y≥12
x+3y≥18
2x+2y≥20
x≥0
y≥0
The corner points are:
(0,12),(18,0),(2,8),(6,4)
The point (6,4) gives lowest cost: $8800
x²+1=2x
hope someone can help thanks!
Answer:
I think it’s x=1
Answer:
Step-by-step explanation:
x^2 + 1 = 2x
x^2 - 2x + 1 = 0
Factor (x - 1) ( x - 1)
x = 1
I actually need help please help quickly
Answer:
NEED MORE
Step-by-step explanation: