Solve the following pair of linear equation using Cross multiplication
method
2x + 3y = 46; 3x + 5y = 74

Answers

Answer 1

Answer:

2x + 3y = 46

3x + 5y = 74

Multiply 1st equation by 3 and 2nd equation by 2:

6x + 9y = 138

6x + 10y = 148

Subtract 2nd equation to 1st equation:

=> y = 148 - 138 = 10

=> 2x + 3*10 = 46

=> 2x = 16

=> x = 8

Hope this helps!

:)


Related Questions

3. Find the volume of the pyramid.
7 cm
3 cm
1 cm

Answers

Answer:

7

Step-by-step explanation:

V=lwh

3=7·3·1

3=7

the cylinder has a base radius of 100cm
the height of cylinder is 250cm
1liter=1000cm^3
how many litters of oil are in the rank
round the answer to the nearest liter

Answers

Answer:

3927 litres

Step-by-step explanation:

V=hpir²

1/2 full

Vcylinderthisone=(1/2)hpir^2

given

h=250

r=100

So...

V=(1/2)(250)pi(100)²

V=125pi10000

V=1250000pi

aprox pi=3.141592

V=3926990 cm^3

divide by 1000

3926.99 liters

about 3927 litres

The answer is 3927 litres

Use right triangle ABC. The figure is for reference only and is not drawn to scale. In a 30-60-90 triangle, the shorter leg had a length of 8. What is the length of the longer leg?

Answers

Answer:

In a 30 60 90 triangle, the longer leg = shorter leg * square root (3)

longer leg = 8 * square root (3) = 8 * 1.7320508076

= 13.8564064606

Step-by-step explanation:

A right triangle has side lengths 5 , 12 , and 13 as shown below. Use these lengths to find tanX , cosX , and sinX

Answers

Answer:

[tex]$\text{sin}(x)=\frac{12}{13} $[/tex]

[tex]$\text{cos}(x)=\frac{5}{13} $[/tex]

[tex]$\text{tan}(x)=\frac{12}{5} $[/tex]

Step-by-step explanation:

Consider:

[tex]$\text{sin}(x)=\frac{\text{Opposite}}{\text{Hypotenuse}} $[/tex]

[tex]$\text{cos}(x)=\frac{\text{Adjacent}}{\text{Hypotenuse}} $[/tex]

[tex]$\text{tan}(x)=\frac{\text{Opposite}}{\text{Adjacent}} $[/tex]

I will apply adjacent side to angle [tex]x[/tex] as 5. and opposite side to angle [tex]x[/tex] as 12.

So,

[tex]$\text{sin}(x)=\frac{12}{13} $[/tex]

[tex]$\text{cos}(x)=\frac{5}{13} $[/tex]

[tex]$\text{tan}(x)=\frac{12}{5} $[/tex]

tan x  5

         12

sin x   5

         13

cos x 12

         13

this is the correct answer

Solve the equation for y.
6 = 4x +9y

Answers

Answer:

y = (6-4x) / 9

Step-by-step explanation:

6 = 4x+9y

Subtracting 4x to both sides

6 - 4x = 9y

Now dividing both sides by 9

We'll get

(6-4x)/9 = y

OR

y = (6-4x) / 9

Answer:

y = 2/3 - 4x/9

Step-by-step explanation:

6 = 4x + 9y

you have to isolate the 9y soo, subtract 4x on both sides

6 - 4x = 9y

now, divide both sides by 9

6/9 - 4x/9 = y

simplify!

2/3 - 4x/9 = y

A glass of cold milk is sitting on the counter, warming up to room temperature. Currently, the milk is 10°C below room temperature. However, that temperature difference is shrinking by 10% every minute. What will the temperature difference be in 14 minutes?

Answers

Answer:

I think it's 8.6 or 1.4

Step-by-step explanation:

Turn 10% into a decimal form... .10

.10 x 14 = 1.4

10 - 1.4 = 8.6

Idk oof

Answer:

10.7 Celsius

Step-by-step explanation:

I did it on IXL

PLEASE HELP!!!!!!!!!

Answers

x = 60 degrees
y = 50 degrees

Help me ASAP and I will give you brainliest plzzzzzzzzzz
Find the perimeter of the triangle.

Answers

Answer:

7n+14

Step-by-step explanation:



PLZZ HELP ASAP The graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.

Answers

Answer:

Step-by-step explanation:Sorry my answer thing isn't working. But the answer is the first one.

Answer:

a

Step-by-step explanation:

You are measuring the height of a Ferris wheel at an amusement
park. You are standing 125 feet from its base. You measure the angle
of elevation from a point on the ground to the top of the Ferris wheel
to be 51°. Estimate the height of the Ferris wheel. Round your
answer to the nearest foot.

Answers

Answer:

154 ft

Step-by-step explanation:

A right triangle is formed, where the height of the wheel (h) is one leg,  the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)

From definition:

tan(51°) = opposite/adjacent

tan(51°) = h/125

h = tan(51°)*125

h = 154 ft

help me with number 3 pleaseee

Answers

Answer:

$25.65

Step-by-step explanation:

135 (19%)

$25.65

The scale on a map shows that 5 centimeters = 2 kilometers. What number of centimeters on the map represents an actual distance of 5 kilometers?

A. 50 cm

B. 12.5 cm

C. 10.5 cm

D. 2 cm

Answers

Given that 5 centimeters equals 2 kilometers, we are asked to find how many centimeters equals to 5 kilometers.

So, we know the rate is 5 centimeters is equal to 2 kilometers.

We should find out how many centimeters equals 1 kilometer.

To do this, we can divide 5 centimeters by 2 to find out how many centimeters is 1 kilometer.

5/2 = 2.5

So, the new rate is 2.5cm = 1km.

Then, all we need to do is multiply the new rate by 5 to find out how many centimeters is 5 kilometers.

5 x 2.5 = 12.5

Therefore, 12.5 centimeters equals a distance of 5 kilometers.

Answer:

B.

Step-by-step explanation:

2 kilometer = 5 cm

And

5 km = ? cm

Using unitary method

2 km = 5 cm

1 km = 5/2 cm

1 km = 2.5 cm

Now

Multiplying both sides by 5 we'll get:

5 km = 2.5 × 5 cm

5 km = 12.5 cm

Formula to find the surface area of a triangular prism

Answers

Step-by-step explanation:

In the mensuration of a triangular prism we can find the total surface area by solving for the areas of  individual shape.

The triangular prism consist of

1. three rectangular surfaces

2. two triangular surfaces.

Hence the total surface area is the sum of the areas of the rectangular surface

= [tex](l* w) +( l*w)+(l*w)\\[/tex]

and the sum of all areas of triangular surfaces

= [tex](\frac{1}{2}bh) + (\frac{1}{2}bh)[/tex]

In summary just find the area of each shape and add them together.

Which of the following equations is an example of a quadratic equation? y = |6 x| y = 9 y = x - 5 y = x 2 - 5

Answers

8712 ios 16*4 is the answer

Which of the following equations is an example of a direct variation?

y = 3

x + 2y = 6

x = 4

y = 3.14 x

Answers

Answer:

ummm, I'm not sure but I think that it's the second or the last one. ‍

What is the graph of y^2/16+x^2/9=1

Answers

Answer:

is c

Step-by-step explanation:

use math    way if you have any doubts

Answer:

the correct graph is graph c.

Step-by-step explanation:

i did the asignment on edg

Solve the following equation algebraically: x squared = 12

Answers

Answer:

x=3.46

Step-by-step explanation:

Answer:

-3.4641 and 3.4641  or  x= -2√3 and x= 2√3

Step-by-step explanation:

x²=12   take the square root of both sides

x=±2√3  separate the solutions

x= -2√3 or x= 2√3  solve

x= -3.4641 or x=3.4641

Sally wants to purchase a new car, and its price is $35,000. Since Sally does not have enough money, she would like to get a loan from Sun Trust Bank with a simple interest rate of 4.5% for 6 years. What is the final cost of her new car?

Answers

Answer:

The formula to calculate the final cost of Sally's new car:

C = 35000 x (1 + 4.5/100)^6 = 45579.1 dollar

Hope this helps!

:)

1. 3x + 7 = 13 (x = -2; x = 2; x = 5)

Answers

Answer: x=2

Step-by-step explanation:

I am assuming you are asking which x fits the equation. To see if x works for the equation, you would plug it in.

x=-2

3(-2)+7=13

-6+7=13

1≠13

x=2

3(2)+7=13

6+7=13

13=13

x=5

3(5)+7=13

15+7=13

22≠13

find the value of x​

Answers

Answer:

Step-by-step explanation:

5

The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 8th term be?

A pattern showing the square term number rule. The first term has one dot. The second term has four dots. The third term has nine dots. The fourth term has sixteen dots.

A. 36
B. 49
C. 64
D. 81

Answers

Answer:

64 dots

Step-by-step explanation:

theres a pattern

the number of terms is always multiplied by itself for Instance 4 terms= 16 dots 4×4=16

Answer:

64bdots I believe

Step-by-step explanation:

i Don't know how to explain this :(

HELP ME PLEASE ASAP.
400 ml of squash is made by mixing 50 ml of cordial with water. what fraction of the drink is water?
give your answer in the simplest form.

Answers

Answer:

Fraction of drink that is water = = 0.875 = 87.5 %

Explanation:

 400 ml of squash is made by mixing 50 ml of cordial with water.

 Total volume of squash = 400 ml

  Total volume of cordial = 50 ml

  Total volume of water  =  400 - 50 = 350 ml

   Fraction of drink that is water = Volume of water/ Volume of squash

                                                    = 350/400

                                                    = 7/8

                                                    = 0.875 = 87.5 %

 

And I see ur profile pic of a gachaverse character I love gacha

Please help me I need this done not a lot of work but please get it done with good credit for good rating and reward!

Answers

Answer:

1. Diameter

2. more than 1 but less than 2

3. ans: 3.14

4. ans: 3.142

5. 33.7 inches

6. a) 100.57 b) 2.36 (2 dp) c) 236.66 d) 113.14 e)20.11

f) 86.11

K is the midpoint of JL



JK 2x + 4 and
KL = 4x - 8
Find JL.​

Answers

Step-by-step explanation:

If K is the midpoint of JL, then JK and KL will be congruent to each other because a midpoint divides a line into two congruent segments.

JK ≅ KL

Now, let's add in the expressions.

2x + 4 = 4x - 8

-2x + 4 = -8

-2x = -12

x = 6

So, the value of x is equal to 6. Since JK is congruent to KL, then we can plug in x for one of the equations and multiply that answer by 2 so we can find the measurement of JL.

JK = 2(6) + 4

JK = 12 + 4

JK = 16

16 * 2 = 32

So, the measurement of JL is equal to 32.

Surface area and volume

Answers

I am pretty sure the answer is find s

D.

Chris is completing his chores. He has two chores remaining: dusting and vacuuming. Chris is having trouble deciding which chore to complete first. Which of the following best describes a method of assuring that each chore has a fair chance of being selected to complete first?
A.
There is no way to assure that each chore has a fair chance of being selected to be completed first.

B.
Roll an ordinary die. If the die lands on an even number, dust first. If the die lands on an odd number, vacuum first.

C.
Flip a fair coin two times. If the coin lands on heads on both flips, dust first. If the coin lands on tails on both flips, vacuum first. If the coin lands on a heads on the first flip and tails on the second flip, vacuum first. If the coin lands on tails on the first flip and heads on the second flip, flip again.

D.
Roll an ordinary die. If the die lands on one, dust first. If the die lands on two, vacuum first. If the dies lands on three, dust first. If the die lands on four, five, or six, roll again.

Answers

Answer: c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Solve everything else first. Then come back to A.

B. 1, 3, 5 and 2, 4, 6 are both consisting of 3 numbers.   Fair

C. HH=dust  TT=vacuum  HT=vacuum  TH=flip    Not fair

D. 1=dust  2=vacuum  3=dust  4, 5, 6=roll    Not fair

B is the answer

Please mark as Brainliest! :)

Have a nice day.

I need help like frfr
Before today over . Someone help me

Answers

I think (I’m not fully sure) it might be 40

Answer:

The answer is 49

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

HELPING ON OTHER OF YOUR PROBLEMS

Find three solutions for the linear equation 4x −3y = 1, and plot the solutions as points on a coordinate plane.

Answers

Answer:

(1, 1), (2, 2.333) and (3, 3.666).

Step-by-step explanation:

To find solutions for this equation, we can just choose values for x and then calculate the values of y.

So, for x = 1, we have:

4*1 - 3y = 1

3y = 3

y = 1

For x = 2, we have:

4*2 - 3y = 1

3y = 7

y = 2.333

For x = 3, we have:

4*3 - 3y = 1

3y = 11

y = 3.666

The points we need to plot is (1, 1), (2, 2.333) and (3, 3.666).

Check the image attached for the plot.

Three solutions for the linear equation are: (0, -0.333), (1,1) and (3, 3.667).

The graph is given at the end of this answer.

-----------------------------

The equation is:

[tex]4x - 3y = 1[/tex]

In slope-intercept formula, we have that:

[tex]3y = 4x - 1[/tex]

[tex]y = \frac{4}{3}x - \frac{1}{3}[/tex]

Thus, the solutions are given by the following pairs of points: [tex](x, \frac{4}{3}x - \frac{1}{3})[/tex]

-----------------------------

For x = 0, we have that [tex]y = \frac{4}{3}(0) - \frac{1}{3} = -\frac{1}{3} = -0.333[/tex], thus, one solution is (0, -0.333).

For x = 1, we have that [tex]y = \frac{4}{3}(1) - \frac{1}{3} = \frac{3}{3} = 1[/tex], thus, one solution is (1,1).

For x = 3, we have that [tex]y = \frac{4}{3}(3) - \frac{1}{3} = \frac{11}{3} = 3.667[/tex], thus, one solution is (3, 3.667).

These solutions are labeled on the graph given at the end of this answer.

A similar problem is given at https://brainly.com/question/16768849

A bird sanctuary needs at least 500 lbs of corn per month. The storage shed
contains 87 lbs of corn on the first day of the month. If corn is bought in 40-lb
bags, which inequality can be used to calculate how many bags of corn, x, are
needed for the month?

Answers

Answer:

x≥(500-87)/40

Step-by-step explanation:

You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.

A rational number is the..........

of two........

while a rational expression is a......... of two.........​

Answers

Answer:

A rational number is the QUOTIENT of two INTEGERS while a rational expression is a QUOTIENT of two FUNCTIONS.

Hope this helps!

:)

Answer:

quotient

integers

quotient

functions

Step-by-step explanation:

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