plz help
Topic: Simultaneous equations
Class 9 ICSE​

Plz Help Topic: Simultaneous EquationsClass 9 ICSE

Answers

Answer 1

Answer:

19 and 13

Step-by-step explanation:

Let x be the larger number and y the smaller , then

[tex]\frac{3x}{y}[/tex] = 4 + [tex]\frac{5}{y}[/tex] ( multiply through by y to clear the fractions )

3x = 4y + 5 ( subtract 4y from both sides )

3x - 4y = 5 → (1)

and

[tex]\frac{6y}{x}[/tex] = 4 + [tex]\frac{2}{x}[/tex] ( multiply through by x to clear the fractions )

6y = 4x + 2 ( subtract 4x from both sides )

- 4x + 6y = 2 → (2)

Multiplying (1) by 4 and (2) by 3 and adding will eliminate x

12x - 16y = 20 → (3)

- 12x + 18y = 6 → (4)

Add (3) and (4) term by term to eliminate x

0 + 2y = 26

2y = 26 ( divide both sides by 2 )

y = 13

Substitute y = 13 into (1) and solve for x

3x - 4(13) = 5

3x - 52 = 5 ( add 52 to both sides )

3x = 57 ( divide both sides by 3 )

x = 19

The 2 numbers are 19 and 13


Related Questions

Hello! I’m really struggling with this, any help is appreciated (:

Answers

Hi, It's the 3rd option

Thanks, It was little hard to find the answer. I am not totally sure about it but as far as I understand this question. the third option is correct.

:)

A giant pie is created in an attempt to break a world record for baking. The pie is shown below:

A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.

What is the area of the slice of pie that was cut, rounded to the nearest hundredth?

22.08 ft2
24.45 ft2
26.32 ft2
28.97 ft2

Answers

Answer:

22.08 ft^2

Step-by-step explanation:

First find the area of the full circle

A = pi r^2

The diameter is 15 so the radius is 1/2 (15) = 7.5

A = (3.14) (7.5)^2

   =176.625

45 degrees is  a fraction of a circle which is 360 degrees

45/360 = 1/8

Multiply the area of the circle by this fraction

1/8 (176.625) =22.078125

Rounding to the nearest hundredth

22.08

Answer:

22.08 ft2

Step-by-step explanation:

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 16 ft wide.
Find the area of the garden.

Answers

Answer: Using width as diameter=32π Using length as diameter=72π

*I included both possibilities since I didn't see a picture of the way in which the semicircle and rectangle were joined.*

Step-by-step explanation:

In order to solve, you have to know the formula for area of a circle which is A=πr^2 (pi*radius to the 2nd power)

The problem does not give us the radius, but we know that radius is half of the diameter.

To find the diameter, we have to use the side measurement of the rectangle and divide it by 2 to find the radius.

Next, we increase the radius to the 2nd power, giving us the radius of a whole circle.

Finally, we have to divide that by 2 since it's a semi circle otherwise known as half of a circle.

I put the answer in terms of pi since that's the most accurate, but if the question specifically instructs it, you can calculate part of the irrational decimal and round to a certain place value.

489
X
96°
x =
degrees

Answers

Answer:

x=144°

Step-by-step explanation:

To work out x, you have to find the other angle in the triangle.

Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.

48+96=144°

180-144=36°

Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.

180-36=144°

x=144°

Hope this helps :)

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

So,

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]

Which graph represents the given equation?
y
=
NICO
+ 4r – 2

Answers

Equations can be represented on graphs by plotting the corresponding x and y values. The graph of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex] is option (B).

Given that:

[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

First, we check the y intercept of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

This is when [tex]x = 0[/tex]

So, we have:

[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

[tex]y = \frac{3}{2} \times 0^2 + 4\times 0 - 2[/tex]

[tex]y = - 2[/tex]

This point is represented as: [tex](0,-2)[/tex]

Next, check the equation when [tex]x = 1[/tex]

So, we have:

[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

[tex]y = \frac{3}{2} \times 1^2 + 4\times 1 - 2[/tex]

[tex]y = 3.5[/tex]

This point is represented as: [tex](1,3.5)[/tex]

From the list of given options (see attachment).

Only graph B has the [tex](0,-2)[/tex] and [tex](1,3.5)[/tex] on its curve.

Hence, option (B) is correct.

Read more about equation of graphs at:

https://brainly.com/question/1971145

Answer:

Equations can be represented on graphs by plotting the corresponding x and y values. The graph of is option (B).

Step-by-step explanation:

y intercept is -2y = 3/2x^2 + 4x – 2y = 3/2(0^2) + 4(0) – 2 = -2and x intercepts are0 = 3/2x^2 + 4x – 2aboutx =  0.43050087, -3.09716754

Write an expression in simplified form for the area of each rectangle. Width: 11 Length: 3x+2

Answers

Answer:

33x+22

Step-by-step explanation:

The area of a rectangle is

A = l*w where l is the length and w is the width

A = 11(3x+2)

Distribute

   = 33x+22

Area of rectangle = Length * Width

Length is 3x+2Width is 11

⇛Area = 11(3x+2)

⇛Area = 33x + 22

2) Tìm các giá trị của x để biểu thức M = (x + 5).(x + 9)
a) có giá trị dương. b) có giá trị âm

Answers

Answer:

please translated to english

Find m∠AMY+m∠CME. i dont understand

Answers

Answer:

It's 46°

Step-by-step explanation:

[tex]m \angle AMY = 62 - 37 = 25 \degree[/tex]

[tex]m \angle CME = 159 - 138 = 21 \degree[/tex]

[tex]{ \tt{m \angle AMY + m \angle CME = 21 \degree + 25 \degree}} \\ { \tt{ = 46 \degree}}[/tex]

The sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the picture,

The measure of angle PMY = 62 degrees

The measure of angle PMA = 37 degrees

The measure of angle AMY = Angle PMY - Angle PMA = 62 - 37

= 25 degrees

Similarly,

Angle CME = 79 - 21 = 58 degrees

m∠AMY+m∠CME = 25 + 58 = 83 degrees.

Thus, the sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ5

a=3x + 2y/3x - 2y. If y =4, x=6 find the value of a.​

Answers

Answer:

a = [tex]\frac{13}{5}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{3x+2y}{3x-2y}[/tex]  , substitute y = 4 , x = 6

a = [tex]\frac{3(6)+2(4)}{3(6)-2(4)}[/tex] = [tex]\frac{18+8}{18-8}[/tex] = [tex]\frac{26}{10}[/tex] = [tex]\frac{13}{5}[/tex]

What is a ratio that is equivalent to 12:35?

Answers

Answer:

0.3429 is a decimal and 34.29/100 or 34.29% is the percentage for 12/35.

Answer:

24 : 70

Step-by-step explanation:

12 : 35

Multiply each side by 2

12*2  : 35*2

24 : 70

factorize the expression:
mn² + mnp + 3mn + 3mp

Answers

Answer:

(mn+3m)(n+p)

Step-by-step explanation:

Answer:

(mn + 3m)(n + p)

Step-by-step explanation:

Factorize by grouping:

[tex]mn^2+mnp\\mn(n+p)\\\\3mn+3mp\\3m(n+p)\\\\(mn+3m)(n+p)[/tex]

Part b. is the second part of this question.

If you could explain to me or answer, I'd really appreciate it. This is sort of urgent, so I'd need to get it done soon. Thank you.

Answers

Answer:

I have tried but I can't sorry friend

Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.

Answers

Answer:

y=(3/4)x+2

Step-by-step explanation:

write the equation in slope-intercept form: y=(3/4)x - 3

since it is parallel the slope is the same so we have y=(3/4)x + b

then plug in the point (-1) = (3/4)(-4) + b

-1 = -3 +b, b=2

y= (3/4)x + 2

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 43 and a standard deviation of 8. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 19 and 67

Answers

Answer:

Step-by-step explanation:

If you drew out the bell curve and put the values where they go, this would be a no-brainer that doesn't even need math to solve. However, we will use the formula and then the table for z-scores to find this answer.

We are looking for the probability that the number of calls falls between 19 and 67. The standard deviation is 8 and the mean is 43. The probability we are looking for is P(19 < x < 67), therefore we look for the probability first that number of calls is greater than 19:

[tex]z=\frac{19-43}{8}=-3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 19 is .99865 (or 99.8%). Likewise,

[tex]z=\frac{67-43}{8}=3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 67 is .00315.

Take the difference of these to get the probability that the number of calls falls between these 2:

.99865 - .00135 = .9973 or 99.7%

What is the simplest form of 20 over 315?

Answers

Answer:

4/63

Step-by-step explanation:

20/315 = (20÷5)/(315÷5)

Someone help please.

Answers

Answer:it could b phase shift but i think that u would have 2 put it on the axis 2 really get it but that is what is thought n our grade but axis

Step-by-step explanation:

Please help, the question is in the picture

Answers

Answer:

per = 18a         7a+2a+7a+2a

area = 14 [tex]a^{2}[/tex]      7a*2a

Step-by-step explanation:

Answer:

(i) 18a

(ii) 14[tex]a^2[/tex]

Step-by-step explanation:

i: 7a+7a+2a+2a

      14a+4a

         18a

ii: 7a*2a

     14a2

I hope this helps!

28. find the range…
please help!!!

Answers

Answer:

A

Step-by-step explanation:

lm‎ao this problem is b‎u‎l‎ls‎h‎‎‎i‎t because the actual answer would be [2, 2] U (7, infty) but thats literally not there, so ig the closest one would be [2, infty) which is A

if it was asking for the domain on the other hand, then it would be B lm‎ao

but I would go with A

HELP FAST 100 POINTS
MUCH SHOW WORK

Answers

Answer:

x is 7 and m<1 is 99°

Step-by-step explanation:

m<NMQ + m<MQN + m<QNM = 180°

[tex]{ \sf{(5x + 19) + (8x - 11) + (11x + 4) = 180}} \\ { \sf{24x + 12 = 180}} \\ { \sf{24x = 168}} \\ { \sf{x = \frac{168}{24} }} \\ \\ { \sf{x = 7}}[/tex]

m<1 = 180° - (11x + 4)

m<1 = 180° - 81°

m<1 = 99°

Using angle sum property

[tex]\\ \sf\longmapsto 5x+19+8x-11+11x+4=180[/tex]

[tex]\\ \sf\longmapsto 24x12=180[/tex]

[tex]\\ \sf\longmapsto 24x=180-12=168[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{168}{24}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

<1=11(7)+4=77+4=81[/tex]

Need help please help please please please please

Answers

1+3/4*1*3/57/4*8/556/202+16/20

graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line

Answers

Answer:

y = -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-7) / -2 - (-3)

0/1

= 0

y = 0x + b

-7 = 0(-2) + b

-7 = 0 + b

b = -7


1.Origin
2.Y-Axis
3.Run
4.Solution of a Line
5.Ordered Pairs.
6.Quandrant
7.Solution of a Linear equation
8.slope
9.Slope- intercept form
10.Rise
11.Y intercept
12.parallel Lines
13.X intercept
14.x axis
15.Linear equation
16.Perpendicular Lines
17.Point slope Form
18.Coordinate plane


1.Plane with two axes as a frame of reference.

2.The vertical number line in a coordinate plane

3.The horizontal number line in a coordinate plane

4.A pair of numbers that are used to correspond to a point on a graph where the first number is the x-coordinate and the second number is the y-coordinate.

5.where the x and y axis meet. The point (0,0).

6. One of the four regions into which the x and y axis separate the coordinate plane.

7. An equation with two variables that makes up a straight line on a coordinate plane.

8.The vertical change in a line from one point (x1,y1) to a second point (x2,y2).

9. The horizontal change in a line from one point (x1,y1) to a second point (x2,y2).

10.The ratios of a Lines rise over its run.

11.y-y1=m(x-x1)

12.Any of the ordered pairs that make an equation true.

13. Any of the points that are on the line of an equation.

14. The point where a graph crosses the x axis.

15. The point where a graph crosses the y axis

16.A Linear equation in the form y=mx+b, where m is the slope and b is the y-intercept

17. Lines that have the same slope and never intersect.

18.Two Lines that intersect at 90°angle.Slopes of these lines are opposite reciprocals.​

Answers

Step-by-step explanation:

Origin is 5.

Y Axis is 2

Run is 9

Solution of a Line is 13.

Ordered Pairs is 4.

Quadrant is 6.

Solution of Linear Equation is 12.

Slope is 10.

Slope Intercept Form is 16.

Rise is 8.

Y intercept is 15.

Parallel Lines is 17.

X intercept is 14.

X axis is 3.

Linear Equation is 7.

Perpendicular Lines is 18.

Point Slope Form is 11.

Coordinate plane is 1.

A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
with $12

Answers

Answer:

8

Step-by-step explanation:

24 bottles = 16 dollars!

? bottles = 12 dollars

Note:

In these type of Questions, find out  any dollars you could get with 1 bottle

or in simple terms, (first find the unit Rate)

24/16 = 1.5

1 bottle = 1.5 dollars

? bottles = 12 Dollars?

12/1.5

= 8

I hope that helps! Have a wonderful day!

The backyard of a new home is shaped like a trapezoid with a height of 44 ft and bases of 90 ft and 110 ft. What is the cost of putting sod on the yard, if the
landscaper charges $0.25 per square foot for sod?

Answers

Answer:

$1100

Step-by-step explanation:

First find the area of the trapezoid

A = 1/2 (b1+b2)*h

A = 1/2 ( 90+110) *44

A = 1/2(200)*44

A = 4400ft^2

The cost is .25 per square foot

4400* .25 =1100

Answer:

$1100

Step-by-step explanation:

((90 + 110)/2 * 44)) * .25 = 1100

what is the LCD of 1/6 and 2/3

Answers

Answer:

6

Step-by-step explanation:

What does LCD mean?

      LCD means Least Common Denominator

1/6 and 2/3. You can easily see the least common denominator is 6 for 2/3 = 4/6 and 1/6 doesn't need to change.

Hope this helped!

Answer:

6

Step-by-step explanation:

We want to find the denominator that is common for both fractions

LCD means least common denominator of the smallest denominator that is common to both

6 and 3 , the smallest factor that is common to both is 6

Plz help me ASAP plz

Answers

The answer is 3

Explanation
18-15=3

Answer:

3

Step-by-step explanation:

RS = 15 and RT which is the whole line = 18 so we just have to do 18-15 which equals 3. Your answer is 3! So a!

What is the slope of the line shown below?
A.
[tex] \frac{1}{2} [/tex]

B.
[tex] - \frac{1}{2} [/tex]

C.
[tex]2[/tex]

D.
[tex] - 2[/tex]

Answers

Answer:

The choose C. 2

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 2 + 4}{3 - 2} = \frac{2}{1} = 2[/tex]

Answer:

option C is correct

Step-by-step explanation:

slope = [tex] \frac{ - 2 + 4}{3 - 2} [/tex][tex] = \frac{2}{1} [/tex][tex] = 2[/tex]

Hope it is helpful....

If the measure of FGH IS 64º and the measure of EGD is (4x+8), what is the value of x?
E
D
F
H

Answers

[tex]\\ \sf\longmapsto 4x+8=64[/tex]

[tex]\\ \sf\longmapsto 4x=64-8[/tex]

[tex]\\ \sf\longmapsto 4x=56[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{56}{4}[/tex]

[tex]\\ \sf\longmapsto x=14[/tex]

PLZ GIVE DETAILED EXPLATION WITH ANSWER.
WILLMARK BRAINLIEST

Answers

Answer:

Print('Batman')

Step-by-step explanation:

it literally says "Elif False and False or True and True print('Batman')

Help in 36 and 37 pls

Answers

Answer:

The answer of number 36 is G and the answer of number 37 is A

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