The sum of two numbers is 1633 and their difference is 35. Find the 2 numbers using simultaneous equation.
Please show working out

Answer:

200/25×1

=8 gold coins

Step-by-step explanation:

The required number of gold coins he needs is given 8 coins.

Given that,
Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1 coin = 25 points
For 200 points number of coins is given as = 200 / 25 = 8 coins

Thus, the required number of gold coins he needs is given 8 coins.

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Given:

The system of equations is

[tex]5g+4k=10[/tex]

[tex]-3g-5k=7[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]5g+4k=10[/tex]        ...(i)

[tex]-3g-5k=7[/tex]         ..(ii)

Multiply (i) by 5 and (ii) by 4.

[tex]25g+20k=50[/tex]        ...(iii)

[tex]-12g-20k=28[/tex]         ..(iv)

Adding (iii) and (iv), we get

[tex]25g-12g=50+28[/tex]

[tex]13g=78[/tex]

Divide both sides by 13.

[tex]g=\dfrac{78}{13}[/tex]

[tex]g=6[/tex]

Put g=6 in (i).

[tex]5(6)+4k=10[/tex]

[tex]30+4k=10[/tex]

[tex]4k=10-30[/tex]

[tex]4k=-20[/tex]

Divide both sides by 4.

[tex]k=-5[/tex]

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.

Answer:

C. m = -8

I hope this helps!

Answer:

Slope is -8

Step-by-step explanation:

2 - y = 8x

- y = 8x - 2

-y/-1 = 8x/-1 - 2/-1

y = -8x + 2

Answer:

Uh- 1? I'm not sure, but I think?

Answer:

It’s 125

Step-by-step explanation:

Answer:

Impossible you can’t

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Isolate M

Divide -5

Answer:

a

Step-by-step explanation:

Answer:

-2.6f -16

Step-by-step explanation:

add like terms -

-2.6 + 0.3 = -2.6f

and

-12-4 = -16

Answer:

12.5%

Step-by-step explanation:

it easy

12.5 percent

its simple

Answer:

The value of x is 25

Step-by-step explanation:

In the given figure

→ In circle O

∵ GB and GD intersect it at points F, B, and E, D

∴ GB and GD are secants of circle O

∵ GB and GD intersect outside the circle O at point G

∵ They intercepted arcs EF and BD

→ By using the rule above

∴ m∠G = [tex]\frac{1}{2}[/tex] (m arc BD - m arc EF)

∵ m arc BD = m arc BC + m arc CD

∵ m arc BC = 35° and m arc CD = 100°

∴ m arc BD = 35 + 100 = 135°

∵ m arc EF = x

∵ m∠G = 55°

→ Substitute them in the rule above

∴ 55 = [tex]\frac{1}{2}[/tex] (135 - x)

→ Multiply both sides by 2 to cancel the fraction [tex]\frac{1}{2}[/tex]

∵ 110 = 135 - x

→ Subtract 135 from both sides

∴ -25 = -x

→ Divide both sides by -1

∴ 25 = x

∴ The value of x is 25

Answer:

35

Step-by-step explanation:

there u go have a great day!

Answer:

x=1/2 or x=−1

Step-by-step explanation:

The solution to the quadratic equation is x = -1 or 1/2

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + x - 1 = 0   be equation (1)

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4

x =  [ -1 ± √ ( 1 + 8 ) ] / 4

x = [ -1 ± 3 ] / 4

So , the two values of x are

x = ( -1 - 3 ) / 4

x = -1

And , x = ( -1 + 3 ) / 4

x = 1/2

Therefore , the values of x are -1 or 1/2 respectively

Hence , the roots of the quadratic equation are -1 or 1/2 respectively

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Answer: less,less greater

Step-by-step explanation:

Answer: #1 : less than 930

Answer: #2 : less than 930

Answer: #3 : greater than 930

Hope this helps older sis!

Answer:

For the second, all numbers less than 12, that would be 87.5%

Step-by-step explanation:

There are eight numbers. 100 divided by 8 is 12.5. 12.5 multiplied by 7 is 87.5.

Answer:

The interest rate is 0.0425%

Step-by-step explanation:

Mathematically;

I = PRT/100

From the question, I in this context is the difference between how much they have paid and the amount borrowed

Mathematically, this is ; 364,000-160,000 = 204,000

This is the interest

R is the rate = ?

T = 30 years

P is the amount borrowed = 160,000

thus, we have

204,000 = (160,000 * R * 30)/100

2040 = 4800000R

R = 2040/4800000

R = 0.000425 which is 0.0425%

Answer:

11 students

Step-by-step explanation:

In order to solve this problem, you would simply need to add the provided number of students from each school together. This would give you the total number of students from all of the aforementioned schools that have decided to enter the race.

4 + 7 = 11 students

Therefore, we can see that a total of 11 students from both schools have entered the race.

Answer:

110

Step-by-step explanation:

the measurment is more than 90 but not by much

Answer:   a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

Step-by-step explanation:

hope that help

Answer:

39/10

Step-by-step explanation:

Answer:

39/10

Step-by-step explanation:

to make 3 9/10 an improper fraction all you have to do is take the whole number-3 and take the denominator-10 and multiply them 3 x 10 = 30, then add it to the numerator 9 + 30 equals 39 this is your new numerator

Answer:

131.18

Step-by-step explanation:

Answer:

Step-by-step explanation:

s₁ = s₂ = x       {the distance from A to B}

s = s₁ + s₂ = x + x = 2x      {the distance of the round trip}

t = t₁ + t₂               {the time of the round trip}

v₁ = 30 mph      

v₂ = 65 mph

t₁ = s₁/v₁ = x/30 h       {the time of trip from A to B}

t₂ = s₂/v₂ = x/65 h      {the time of trip from B to A}

The average speed:

[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]

Answer:

two teaspoons i think sorry if this doesnt help

Step-by-step explanation:

Answer:-15,20

Step-by-step explanation:

Answer:

[tex]6mx - 3nx + my[/tex]

Step-by-step explanation:

2my - my = 1my (1 can also be omitted).

Answer:

6mx-3nx+my

Step-by-step explanation:

Collect like terms:

6mx-3nx+2my-my

subtract: 2my-1my

= 1my

since you cant add any more like terms your answer would be

6mx-3nx+my

Answer:

Solved only ticked ones

Answer:

use the formula:

[tex]a {}^{2} + {b}^{2} = (a + b) {}^{2} - 2ab[/tex]

1) 4a² + 49b²

= 2²a² + 7²b²

= (2a)² + (7b)²

based on the formula above, a = 2a and b = 7b

= ( 2a + 7b )² - 2(2a)(7b)

substitute 2a+7b = 11 into the equation

= 11² - 2( 14ab )

= 121 - 28ab

substitute ab = 2 into the equation

= 121 - 28(2)

= 121 - 56

= 65

2) 4x² + 9y²

= 2²x² + 3²y²

= (2x)² + (3y)²

based on the formula, a = 2x and b = 3y

= ( 2x + 3y )² - 2(2x)(3y)

substitute 2x+3y = 12 into the equation

= 12² - 2(2x)(3y)

= 144 -2(6xy)

= 144 - 12xy

substitute xy = 6 into the equation

= 144 - 12(6)

= 144 - 72

= 72

3) 4x² + 9y²

= 2²x² + 3²y²

= (2x)² + (3y)²

= (2x)² - (-3y)²

based on the formula, a=2x and b=-3y

= ( 2x-3y )²- 2(2x)(-3y)

substitute 2x-3y = 2 into the equation

= (2)² - 2(2x)(-3y)

= 4 - 2( -6xy )

= 4 + 12xy

substitute xy = 8 into the equation

= 4 + 12(8)

= 4 + 96

= 100

4) 16x² + 25y²

= 4²x² + 5²y²

= (4x)² + (5y)²

= (4x)² - (-5y)²

based on the formula, a = 4x and b = -5y

= (4x-5y)² - 2(4x)(-5y)

substitute 4x-5y = 6

= (6)² -2(4x)(-5y)

= 36 -2(-20xy)

= 36 + 40xy

substitute xy = 8 into the equation

= 36 + 40(8)

= 36 + 320

= 356

Answer: x= 108

Step-by-step explanation: The triangle is an isosceles triangle, so the two sides are parallel which means the other angle equals to 72 as well. Now we take the triangle rule and do 180-72-72= 36 (the top angle= 36). The triangles are all equal so that means the other angle (in the upside down one) also equals 72 so we take 36+72= 108. Since it is also a parallelogram, the angles are equal.

Answer:

the value of the smallest number is 3

Step-by-step explanation:

The computation of the value of the smaller number is shown below:

Given that

y = 4x + 2

y = 2x + 8

Now equate these two equations

4x + 2 = 2x + 8

4x - 2x = 8 - 2

2x = 6

x = 3

Hence, the value of the smallest number is 3

The same is to be considered

Answer:

The value number is 3

Step-by-step explanation:

Answer:

3 is b

4 is also b

Step-by-step explanation:

Answer:

First Picture: 284 square inches

Step-by-step explanation:

Answer:

yeah he got it

Step-by-step explanation:

Answer:

1:10

Step-by-step explanation:

the ratio we can it is

[tex]\frac{amount\:salt}{amount\:sugar}\\\\\frac{\frac{1}{4}}{2\frac{1}{2}}\\\\\frac{\frac{1}{4}}{\frac{5}{2}}\\\\\frac{1\times2}{4\times5}\\\\\frac{1}{2\times5}\\\\\frac{1}{10}[/tex]

so the ratio is 1:10