Please solve this simultaneous equation, i'm not that good at it.

2r-s=10
rs-s^2=12

Answers

Answer 1

Answer:

s = 6, r = 8 or s = 4, r = 7

Step-by-step explanation:

2r - s = 10

2r = 10 + s

r = 5 + s/2 --(1)

rs - s^2 = 12 --(2)

sub (1) into (2):

(5 + s/2)s - s^2 = 12

5s + 0.5s^2 - s^2 = 12

-0.5s^2 + 5s - 12 = 0

s^2 - 10s + 24 = 0

(s - 6)(s - 4) = 0

therefore s = 6 or s = 4

when s = 6, r = 8 and when s = 4, r = 7

if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)


Related Questions

A soccer player passes the ball from a point that is 18 yards from the endline and 12 yards from the sideline. A teammate who is 42 yards from the same endline and 50 yards from the same sideline receives the pass. (See figure.) How long is the pass? (Round your answer to the nearest yard.)

Answers

The answer would be 44.9 yard.

Please help! 30 points!

Use the numbers:
6 3 5 4 2 1
in that order to make 100. Use brackets and the four operations.​

Answers

Answer:

((6 x 3 + 4/2) x 5 ) / 1

Work out, giving your answer in its simplest form:
5/
14
x
7/
30​

Answers

x in (-oo:+oo)

((5/14)*x^7)/30 = 0

1/84*x^7 = 0 // : 1/84

x^7 = 0

x = 0

x = 0

A company's stockwas selling at 24$ a share.A month later it was selling at $30 a share. What is the percent gain

Answers

Answer:

20%

Step-by-step explanation:

% increase = (final − initial) / initial × 100%

= (30 − 25) / 25 × 100%

= 20%

Answer:

The percent gain is 25%

Step-by-step explanation:

Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3882 grams? Round your answer to four decimal places

Answers

Answer:

0.8944

Step-by-step explanation:

We start by calculating the z-score

To calculate the z-score, we shall need the standard deviation

Mathematically, standard deviation is square root of variance

that will be; SD = √108,900 = 330

Formula for z-score is;

x-mean/SD/√n

where n is 65 in this case

z-score = (3882-3831)/330/√65 = 1.25

The probability we want to calculate is;

P( X < 1.25)

we can use the standard normal distribution table for this

Using the table;

P( X < 1.25) = 0.89435 which is 0.8944 to 4. decimal places

Answer:

0.8944

Step-by-step explanation:

Insert brackets to make this calculation correct.
4 - 1 x 2 = 6

Answers

Answer:

(4-1)x2=6

Step-by-step explanation:

(4-1)x2=6

(3)X2=6

6=6

Answer:

[4 - 1] x 2 = 6

Step-by-step explanation:

Test out each possible solution.

Problem: 4 - 1 x 2 = 6

#1: [4 - 1] x 2 = 6

4 - 1 is 3.

3 x 2 is 6.

6 = 6 ✅

#2: 4 [-1 x 2] = 6

-1 x 2 is -2.

-2 [tex]\neq[/tex] 6 ❎

Therefore, #1 is correct.

Zeke kicked a football 92 yards. Zane estimated it at 90 yards. What percent error did Zane make? If a decimal, round the percent to 2 decimal places.

Answers

Answer:

Zeke had a 2.17% margin of error in his estimation.

Step-by-step explanation:

To set this problem up, you would need to create a proportion. X, the percent of error you're trying to find, should be over 100%. It should look like:

2/92 = X/100

This would translate your terms, the distance the football was kicked, into percentage terms. You should have 2/92 rather than 90/92. 90/92 would give you how accurate Zeke's estimate was instead of is percent of error.

Cross-multiply your numbers:

(2)(100) = 92X

200 = 92X

X = 2.1739

Then, once you round it, your answer would be X = 2.17.

PLS HELP ILL GIVE BRAILIST

Answers

Answer:

14  hrs

Step-by-step explanation:

just keep adding up the miles till u get to 804 then u find out what half of 268 is which it is 134 then u add 804 plus 134 to get 938 then u find out how many hours that is which half 4 hours is and  2hrs

Mars is about 35,000,000 miles away from earth. If the moon is 250,000 miles away from earth, about how many times further is Mars?

Answers

Answer:

mars is 140 times farther than the moon

Step-by-step explanation:

hope this helped :-)

Angie and Kenny play online video games. Angie buys 1 software package and 1month of gameplay. Kenny buys 1 software package and 2 months of game play. Each software package costs ​$30. If their total cost is ​$90​, what is the cost of one month of gameplay?

Answers

Answer: $10

Step-by-step explanation:

Angie buys = 1 software package and 1month of gameplay.

Kenny buys = 1 software package and 2 months of game play.

Cost of each software package = $30. Total cost = ​$90​

The total cost is the addition of what Kenny and Angie bought. This will be:

(1 SF + 1 G) + (1 SF + 2 G) = 90

where,

SF = software package = 30

G = game

(1 SF + 1 G) + (1 SF + 2 G) = 90

30 + 1G + 30 + 2G = 90

60 + 3G = 90

3G = 90 - 60

3G = 30

G = 30/3

G = 10

One month of game play cost $10

Will mark brainliest - GEOMETRY, show work plz

Answers

Answer:

1. Slope is 3/2

2. Slope is -2/3

3. Slope is 3/2

Step-by-step explanation:

Plz mark as Brainliest!

Answer:

Step-by-step explanation:

(-8-4)/(5+3)= -12/8= -3/2

perp. 2/3

y - 4 = 2/3(x + 3)

y - 4 = 2/3x + 2

y = 2/3x + 6

y - 4 = -3/2(x + 3)

y - 8/2 = -3/2x - 9/2

y = -3/2x - 1/2

A high school coach needs to buy new athletic shorts for 15 members of the basketball team. The coach must spend less than $200 and needs to determine how much he can spend per pair of shorts.

Answers

Answer:

Well i dont know the answers but it is 13.33

Step-by-step explanation:

He can spend 13 dollars per pair of shorts

Find the area of a room that has a length of 3x + 1 and a width of 2x + 3.

Answers

Answer:

6x^2+11x+3

Step-by-step explanation:

Area= Length*Width

Area= (3x+1)(2x+3)

Use method FOIL (Front,Out,In,Last)

(3x*2x)+(3x*3)+(2x*1)+(3*1)

= 6x^2+9x+2x+3

Simplify:

6x^2+11x+3

After traveling 345 miles, the Johnston family stopped at a rest stop for lunch. Looking at the map, they realized they had completed 3/5 of the trip. If d represents the total distance in miles, which equation can be used to find d?

A. 3/5 divided by d = 345
B. 3/5 x d = 345
C. 345 x d = 3/5
D. 345 divided by d = 5/3

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. 3/5 x d = 345

Step-by-step explanation:

The ratio of right-handed students to left-handed students is 8 to 3.There are 520 right-handed students in school.How many students are left-handed

Answers

Answer:

195 students are left-handed

Step-by-step explanation:

Here, we want to calculate the total number of students who are left-handed

Let the total number of students in the school be x

The total ratio is 8 + 3 = 11

8/11 * x = 520

8x = 11 * 520

x = (11 * 520)/8

x = 715 students

So the number of students who are left handed will be;

Total - number of right-handed students

That would be;

715-520 = 195

Brainiest to the first CORRECT answer

Answers

Step-by-step explanation:

(9.16 * -30)= -27.48

(5.5 x 160)° 880

A table measures 3.5 ft by 2.5 ft. What is the area of the table?

Answers

Answer:

A =  8.75 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of a table is

A = Length x Width

Given: Length=3.5ft and Width=2.5ft

A = 3.5ft x 2.5ft = 8.75 [tex]ft^{2}[/tex]

8.75ft
you simply have to multiply each of the measures to get your area.

What is the image of (−8,2) after a reflection over the y-axis?

Answers

Answer:

8, -2

Step-by-step explanation:

Which equation is parallel to a line with a slope of 2 and passes through (2, -1)

Answers

Answer:

y=2x-5

Step-by-step explanation:

What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year
Which equation can be used to determine the number of years, 2, at which the trees will be an equal height?
A:14 + 12x= 16 + 2x
B:16 + 12x = 14 +2x
С:12 + 16x =2 + 14x
D:12 + 14x= 2 + 16x

Answers

Answer:

The answer is D

The equation that can be used to determine the number of years at which the trees will be an equal height is -

14x + 12 = 16x + 2

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.

Variety [A] = 14x + 12

Variety [B] = 16x + 2

The equation that can be used to determine the number of years at which the trees will be an equal height is -

14x + 12 = 16x + 2

Therefore, the equation that can be used to determine the number of years at which the trees will be an equal height is -

14x + 12 = 16x + 2

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ5

what the number 820.681 in expanded form using powers of 10

Answers

Answer:

[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]

Step-by-step explanation:

[tex]820.681 = 8 \times 100 + 2 \times 10 + 6 \times 0.1 + 8 \times 0.01 + 1 \times 0.001[/tex]

[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]

I have to order it from least to greatest in absolute value, and i dont get it can anyone help?

Answers

Answer:

ight A on top since it's the cmallest followed by B,C,D,E

Step-by-step explanation:

what is 2(u-3)=6u+10

Answers

Answer: =-4

Step-by-step explanation:

Write the equation of the line that passes through the given points. ​(0​,3​) and ​(-17​,1​)
Whats the answer? Need help ASAP

Answers

Answer:

the equation: y=2/17x+3

the slope: 2/17

Step-by-step explanation:

Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.

A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13

Answers

Parallel= same slope
Y = 4x + b
Plug in the point
5 = 4(-2) + b
5 = -8 + b
b = 13
It would be D. Y= 4x+13

In response to very high demand, a new bike has been marked up by 25% and is now selling for $210.00. How much was the bike before the mark-up?

Answers

Answer:

210.00 divided by 4 = 52.5      then you would subtract 210 by 52.5 and you would get 157.5.

Step-by-step explanation:

2. H(x) is a quadratic function and H(1) = 1, H(-2) = 16, and H(3) = 11. What is the value of H(-1)?

A. 7
B. 3
C. -3
D. 8
E 5

Answers

Answer:

d

Step-by-step explanation:

what is 2+2 and what is your favorite song?

Answers

Answer:

2+2=4 and my fave song is blood in the water

Step-by-step explanation:

Mark Deathshot brainliest

Answer:

4 and i see a dreamer

Step-by-step explanation:

Alinehasaslopeof 1/3 anda y-intercept of –5What isitsequationin slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

[tex]y = \frac{1}{3}x - 5[/tex]

Step-by-step explanation:

Given

[tex]slope\ (m) = \frac{1}{3}[/tex]

[tex]y\ intercept = -5[/tex]

Required

Determine the line equation in slope intercept

The equation of a line in slope intercept is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope = \frac{1}{3}[/tex]

[tex]b = y\ intercept = -5[/tex]

So, [tex]y = mx + b[/tex] becomes

[tex]y = \frac{1}{3}x - 5[/tex]

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