In this question, an amount is divided between three parts. From this, relations between the variables are used to find the amount corresponding to each part.
Sum of 1110 between A, B and C:
This means that:
[tex]A + B + C = 1110[/tex]
For every rs 8 given to A,B may get Rs 5
This means that:
[tex]\frac{A}{B} = \frac{8}{5}[/tex]
And thus:
[tex]5A = 8B[/tex]
[tex]A = \frac{8B}{5}[/tex]
For every Rs 7 given to B ,C may get rs 4
This means that:
[tex]\frac{B}{C} = \frac{7}{4}[/tex]
And thus:
[tex]7C = 4B[/tex]
[tex]C = \frac{4B}{7}[/tex]
Amount of B:
Replacing into the original equation:
[tex]A + B + C = 1110[/tex]
[tex]\frac{8B}{5} + B + \frac{4B}{7} = 1110[/tex]
[tex]\frac{56B + 35B + 20B}{35} = 1110[/tex]
[tex]111B = 1110*35[/tex]
[tex]B = \frac{1110*35}{111}[/tex]
[tex]B = 350[/tex]
Amounts of A and C:
A and C are given as functions of B, so:
[tex]A = \frac{8B}{5} = \frac{8*350}{5} = 560[/tex]
[tex]C = \frac{4B}{7} = \frac{4*350}{7} = 200[/tex]
Thus:
The amount given to A is of Rs 560, to B is of Rs 350 and to C is of Rs 200.
For another problem involving divisions given ratios, you can check https://brainly.com/question/23857756.
A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.
In this problem, we must translate the sentences into mathematical expression. Please notice that systems of linear equations are resoluble if the number of formulas equals the number of variables. In other words, we must have three linear equations for three variables:
1) Divide a sum of RS 1110 between A, B, C:
[tex]a + b + c = 1110[/tex] (1) Var: 3, Eqs: 1
2) So that for every RS 8 give to A, B may get RS 5:
[tex]\frac{a}{b} = \frac{8}{5}[/tex]
[tex]5\cdot a - 8\cdot b = 0[/tex] (2) Var: 3, Eqs: 2
3) And for every RS 7 given to B, C may get RS 4:
[tex]\frac{b}{c} = \frac{7}{4}[/tex]
[tex]4\cdot b -7\cdot c = 0[/tex] (3) Var: 3, Eqs: 3
Now we solve the resulting system, the solution set of the system is:
[tex]a= 560[/tex], [tex]b = 350[/tex], [tex]c = 200[/tex]
A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.
could someone help me with this (picture) please explain if you could I don't really understand.
Answer:
10t + D = 40
Step-by-step explanation:
y = mx + b is the equation of a line in slope intercept form. We'll be using this equation since the slope, or distance traveled, is steady (linear). In this case, the slope is 10 since Sarah's pace is 10 km/hr. m is the slope, so m = 10.
y = 10x + b. However, she needs to run 40 km. So we're going to substitute 40 in for y.
40 = 10x + b. Now, we need to use t instead of x since that's what's been asked of us. (The slope represents the distance traveled over time, so t fits.)
10t + b = 40
b needs to become D, the distance in kilometers.
So now we have 10t + D = 40
Answer:
D(t)= 40-10t
Step-by-step explanation:
#KmNn
Multiply: (2x+y) (n2-3xy+y2)
Answer:
[tex]{ \tt{(2x + y)( {n}^{2} - 3xy + {y}^{2} )}} \\ = { \tt{(2x {n}^{2} - 3 {x}^{2}y + 2x {y}^{2} + {n}^{2}y - 3x {y}^{2} + {y}^{3} )}} \\ = { \tt{ {y}^{3} - xy(y + 3x) + {n}^{2} y }}[/tex]
Hello!
(2x+y) (n2-3xy+y2)
2x* n²= 2xn²
2x* -3xy = -6x²y
2x* y² = 2xy²
y*n² = yn²
y*-3xy = -3xy²
y* y² = y³
=>
2xn²- 6x²y + 2xy² +yn²- 3xy² +y³
A man was traveling by air is allowed a maximum of 20kg luggages .The man has four bags weighing 3.5kg ,15 kg ,2kg and 1.5kg .Find excess weight of his luggage. 2 . Express the excess weight as a percentage of his maximum weight allowed.
Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%
Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!Please Help!
Answer:
(a) no solution
Step-by-step explanation:
Writing the second equation in slope-intercept form, it becomes ...
3x -y = 2 . . . . given
y = 3x -2 . . . . add y-2 to both sides
The first equation is already in slope-intercept form:
y = 3x +3 . . . . first equation
The coefficients of x in the two equations are both 3, so the lines they describe are parallel. They do not intersect, so there is no solution.
WILL GIVE BRAINLISEST Solve for m∠NLM
GOOD LUCKJ!
Answer:
[tex]m<NLM = 30[/tex]
Step-by-step explanation:
1. Approach
The easiest way to solve this problem is to find the degree measure of the parameter (x). Use the fact that line (LN) is a diameter to solve for (x), beacause the angle measure of a circle on either side of the diameter is (180) degrees. One can then find the measure of arc (mNM), and then find the measure of the angle (<NLM) using the inscribed angles theory.
2. Find the measure of (x)
A diameter is the largest chord or segment in a circle. It intersects a circle at two points and runs through the center of a circle. The degree measure of a circle on either side of the diameter is (180) degrees. As per the given image, line (LN) is a diameter. The arcs (mLM) and (mNM) make up half of the circle, or rather one side of the diameter. With this information, one can form an equation and solve for the parameter (x) using this information:
[tex](mLM)+(mNM)=180[/tex]
Substitute,
[tex](mLM)+(mNM)=180[/tex]
[tex](13x-10)+(7x-10)=180[/tex]
Simplify,
[tex](13x-10)+(7x-10)=180[/tex]
[tex]20x-20=180[/tex]
Inverse operations,
[tex]20x-20=180[/tex]
[tex]20x=200[/tex]
[tex]x=10[/tex]
3. Find the measure of angle (<NLM)
The inscribed angles theorem states that an angle with its vertex on the circumference (outer edge) of a circle is equal to half of the surrounding arc. One can form an equation and solve for the measure of angle (<NLM).
[tex]m<NLM=\frac{1}{2}(mNM)[/tex]
Substitute,
[tex]m<NLM=\frac{1}{2}(mNM)[/tex]
[tex]=\frac{1}{2}(7x-10)[/tex]
[tex]=\frac{1}{2}(7(10)-10)\\\\=\frac{1}{2}(70-10)\\\\=\frac{1}{2}(60)\\\\=30[/tex]
Determine whether the sequence converges or diverges. If it converges, give the limit.
50, 25/2, 25/8, 25/32, ...
Answer:
The sequence converges to 0.
Step-by-step explanation:
Every new number is divided by 4 and will continue to grow smaller until it converges to 0.
HELP PLS WITH PYTHAGOREAN THEOREM
Answer:
100 ft
Step-by-step explanation:
We need to find the diagonal ( or hypotenuse)
We can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
80^2 + 60^2 = c^2
6400+3600 = c^2
10000 = c^2
Taking the square root of each side
sqrt(10000) = sqrt(c^2)
100 = c
The number seventeen and seven thousand in decimal form is
Answer:
17.00 and 17,000.00
this is your answer to ur question
What is 2:50 is simplest form
Answer:
0.04
Step-by-step explanation:
2 / 50 is the same as 1 / 25.
1 / 25 = 0.04
Answer:
0.04
Step-by-step explanation:
Given HM = 24 and mHK = 66 , find x and y
Answer:
x=24,y=33
hopefully this answer can help you to answer the next question
Who can help me with this question as well
Answer:
36 degrees
Step-by-step explanation:
First, to find the exterior angle of a polygon, we must divide 360 by the number of sides/angles that the specific polygon has. In this case, our polygon has 10 sides, so it's a decagon.
If we apply this formula, where s = # of sides, we can find the exterior angle of this polygon:
360/s = exterior angle
360/10 = 36
Therefore, the exterior angle is 36 degrees.
Answer:
36°
Step-by-step explanation:
Sum of exterior angles of a polygon = 360°
help me please it easy.
Answer: there is no picture attached or equation? what's the question?
Step-by-step explanation:
ok, what do you need help with?
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 3 kg weighs 30 N. Find the weight of an object whose mass is 5 kg
Answer:
[tex]50 N[/tex]
Step-by-step explanation:
To help us find our answer, we need to use Newton's Second law
[tex]F = m \times a[/tex]
Where F is the force (N), m is the mass (Kg) and a is the acceleration (m/s^2, on a planet this would just be the gravity)
So if we know that a person has a mass of 3Kg and weighs 30N, the acceleration (or the gravity on that planet is)
[tex]30 = 3 \times a\\a = 10 m/s^2[/tex]
Now that we know the acceleration we can easily find the weight of the person.
[tex]F = 5 * 10 = 50 N[/tex]
What is the y-intercept of the line shown?
1
0
10
2
4
-10
ОО
01
03
3.5
Answer:
y-intercept = 3
Step-by-step explanation:
value that's on the y - axis
Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months
Answer:
The answer is "[tex]f(x) = 3(1.05)x + 2[/tex]".
Step-by-step explanation:
She starts off with 3 hours with pop music.
Next month, she will have 3 hours she has had and + 3*0.05.
3hrs + 3*0.05hrs = 3*1.05 hrs
We add 2 hours of classical music to the 3 * 1.05 hours to achieve 3 * (1.05) hours + 2 hours of classical music.
Answer: f(x):2(0.05)^x+3
The altitude a (in feet) of a plane t minutes after liftoff is given by a = 3400t + 600. How many minutes after liftoff is the plane at an altitude of 21,000 feet
Answer:
6
Step-by-step explanation:
Altitude = 3400t +600
21,000 = 3400t +600
21000-600= 3400t
20400/3400 = 3400t/3400
t= 6
Answered by Gauthmath
evaluate expression: evaluate each expression when a = "-2" b=4 and c=-10
2a+b
ac-b
a+b/a
8a+5b
-4a-b
3c/-5
Answer:
2a+b=0
ac-b=16
a+b/a=-4
8a+5b=-4
-4a-b =4
3c/-5=6
A square has an area of 49 cm squared what is the length of each side
Answer:
7
Step-by-step explanation:
[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]
Please help out need explanation so I can know how to do it
Answer:
B = 60in^2
H = 4in
P = 34in
SA = 280
Step-by-step explanation:
Base - The base I assume would be the red rectangle, and 12x5 would be the area of that, so the answer is 60
Height - I assume that the height is 12, if the prism is vertical, if horizontal, then the height would be 4.
Perimeter - The length of the side lengths, so the base is the red sqaure 12+12+5+5=34
Surface Area - Base=60*4 (There are 4 "bases") =240, and then we have 5*4 (For the little squares, and times this by 2 becasue there are 2 of them) = 20*2=40
40+240=280
F(x)=5x-3 encuentre el dominio, codominio y haga la tabla de valores
Answer:
i have no idia jk f(x)=5
Step-by-step explanation:
i fril dont kmow
Write these sums as decimals:
2/100 + 3/1,000 =
1/10 + 4/10,000 =
Answer:
1 ) 0.023
2 ) 0.1004
Step-by-step explanation:
2 / 100 + 3 / 1000
= 0.02 + 0.003
= 0.020 + 0.003
= 0.023
1 / 10 + 4 / 10,000
= 0.1 + 0.0004
= 0.1000 + 0.0004
= 0.1004
Frank can type a report in 2 hours and James takes 7 hours. How long will it take the
two of them typing together?
Answer: x = 1 hour and 33 minutes
Step-by-step explanation:
Let x = time (hours) it takes typing together
then
x(1/2 + 1/7) = 1
multiplying both sides by 14:
x(7 + 2) = 14
x(9) = 14
x = 14/9
x = 1.56 hours
or
x = 1 hour and 33 minutes
Hope tjis help you!:)
Answer: 14/9 hr
Step-by-step explanation:
If you divide Frank's ability to write 1 report by 2 hours, he could write half a report in an hour. James could write one seventh of the report in a hour after dividing his ability to write 1 report in 7 hours. Find the least common denominator between 2 and 7, which is 14 convert 1/2 to that, which would be 7/14 and 2/14. Add That together and you'd get the amount of report they can write in an hour. If you multiply this by a number equalvilent to flipping 9/14, you'd get 1. This number is 14/9 hours.
Given that 3=a+r/a-r,make r the subject of the formula?
Answer:
Step-by-step explanation:
[tex]3=\frac{a+r}{a-r} \\3a-3r=a+r\\3a-a=r+3r\\4r=2a\\r=\frac{1}{2} a[/tex]
Câu 2. Cho hình thang cân ABCD (AB // CD, AB CD). Gọi O là giao điểm của AD và BC, E là giao điểm của AC và BD. Chứng minh rằng: | a) Tam giác AOB cân ở O.
b) Các tam giác ABD và BAC bằng nhau. C) EC = ED
d) OE là trung trực của AB và CD.
Answer:
Step-by-step explanation:
Consider this equation. tan) 19 17 If 8 is an angle in quadrant II, what is the value of Cos() OA. 19 6 OB. 17 6 O c. V18 6 OD. 17
Using trigonometric identities, it is found that the value of [tex]\cos{\theta}[/tex] is given by:
B. [tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]
What is the tangent of an angle?It is given by the division of it's sine by it's cosine, that is:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this problem, the equation given is:
[tex]\tan{\theta} = -\sqrt{\frac{19}{17}}[/tex]
That is:
[tex]\frac{\sin{\theta}}{\cos{\theta}} = -\sqrt{\frac{19}{17}}[/tex]
[tex]\sin{\theta} = -\sqrt{\frac{19}{17}}\cos{\theta}[/tex]
The following identity is applied:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
Then:
[tex]\left(-\sqrt{\frac{19}{17}}\cos{\theta}\right)^2 + \cos^2{\theta} = 1[/tex]
[tex]\frac{36}{17}\cos^2{\theta} = 1[/tex]
[tex]\cos^2{\theta} = \frac{17}{36}[/tex]
[tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]
More can be learned about trigonometric identities at https://brainly.com/question/24496175
Answer:
Hi sorry I just wanted to ask is it B or D? positive or negative?
Step-by-step explanation:
edmentum is the worst
Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?
5
A
B
-5
o
5 x
का
O Point B is the result of a 180° rotation.
O Point A and B have the same x-coordinate.
Answer:
the fourth option (A and B are the same distance from the origin)
Step-by-step explanation:
since B is the result of a rotation of A around the origin, they are both on the same circle (center point is the origin). so, they have both the same distance (the radius of the circle) from the center of the circle, which is the origin.
the third option is tempting, as the rotation was 90 degrees, but it was clockwise !
Một người gửi tiết kiệm 100 triệu đồng theo kỳ hạn gửi là 1 năm. Sau 5 năm người người đó nhận được số tiền là 153,86 triệu đồng. Hỏi lãi suất người này gửi là bao nhiêu (lãi kép hàng năm):
Answer:
no
Step-by-step explanation:
Using the proportion you found in Question 3, write an equation for the length of arc EF in terms of the radii of AB and AC and the length of arc CD.
Answer:
Step-by-step explanation:
20 points PLEASE HELP IT'S DUE TODAY
Answer:
Step-by-step explanation:
Arc length of the circle is given by,
Arc length = [tex]\frac{\theta}{360^{\circ}}(2\pi r)[/tex]
Area of the sector of a circle = [tex]\frac{\theta}{360^{\circ}}(2\pi r)[/tex]
22). Arc length of the circle having central angle = [tex]\frac{\pi}{3}[/tex]
= 60°
Arc length = [tex]\frac{60^{\circ}}{360^{\circ}}(2\pi )(7)[/tex]
= [tex]\frac{14\pi }{6}[/tex]
= 7.33 cm
23). Arc length of the circle having central angle = 225°
Arc length = [tex]\frac{225^{\circ}}{360^{\circ}}(2\pi )(10)[/tex]
= 12.5π
= 39.27 km
24). Central angle = [tex]\frac{5\pi }{4}[/tex]
= [tex]\frac{5\times 180^{\circ}}{4}[/tex]
= 225°
Area of the sector = [tex]\frac{225^{\circ}}{360^{\circ}}(2\pi )(11)[/tex]
= 43.20 yd²
25). Area of the sector = [tex]\frac{270^{\circ}}{360^{\circ}}(2\pi )(14)[/tex]
= 65.97 yd²
Tom makes two deliveries of bricks.
The distance of one delivery is 20 miles more than the distance of the other delivery.
(b) Work out the difference between the two delivery costs.