Use a system of equations to solve the following problems

1) Find the value of two numbers if their sum is 11.9 and their difference is 0.5.​

Answers

Answer 1

Answer:

The answer is x= 6.2 and y= 5.7

Step-by-step explanation:

Let the two numbers be x and y.

1st condition:

x+y= 11.9 --- (1)

2nd condition:

x-y=0.5--- (2)

Solving 1 and 2

x+y= 11.9 --- (1)

x-y=0.5--- (2)                           (here +y and -y  will get cancelled)

_____________

2x= 12.4

x= 12.4/2 = 6.2

x= 6.2

Now, put x= 6.2 in equation (1)           ( u can put in eqn 2 also)

6.2+y= 11.9

y= 11.9-6.2= 5.7

∴y= 5.7

To recheck you can put the value of x and y in any of the eqns.  

The LHS will be equal to RHS if the values we got are correct.

Hope it helps.


Related Questions

John is w years old. His sister is 16 years old and his brother is twice johns age all three siblings have a total age of 31

Answers

Answer:

Step-by-step explanation:

John's age = w

His brother's age = 2*w  = 2w

His sister's age = 16 years

Total age of all siblings = 31

w + 16 + 2w = 31

w + 2w + 16 = 31

Combine like terms

      3w + 16 = 31

Subtract 16 from both sides

    3w          = 31 - 16

              3w = 15

                w = 15/3

               w = 5

[tex]\boxed{\text{John's age = 5 years }}[/tex]

His brother's age = 2w

                            = 2*5

                            = 10

[tex]\boxed{\text{John's brother's age = 10 years}}[/tex]

 

Riley has a fish tank in the shape of a rectangular prism like the one shown.

A box that measures 7 inches by 10 inches by 7 inches.
How much water can the tank hold?

24 cubic inches
70 cubic inches
119 cubic inches
490 cubic inches

Answers

D 490 cubic inch
Hop this helps

simplify each of the following fractions :

25
__
30​

Answers

Answer:

25 / 30 = 5 / 6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

ILL MAKE BRAINLIEST AND ITS 50 POINTS
The function
p(w)=230(1.1)
represents the number of specialty items produced at the old factory w
weeks after a change in management. The graph represents the number of specialty items produced at the
new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new
factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory.
Show your work.

Answers

Answer: Is In The Explanation

Step-by-step explanation: For the answer to the question above,

A) You just fill in 0 for w in the problem and anything raised to the power of 0 is 1, so 230(1) is 230, and that is the old factory and at 0 for the new, it is at 190. Subtract then explain why you did what you did.

B) I believe what they are asking for you to do, is you can take each week from the new factory and subtract it and find the equation for the new factory, you already know the growth rate for the old factory= 230(1.1)^w.

C) You take your old factory's equation and plug in numbers until one of them is greater at the new factory.

The two triangles shown are congruent.
Find the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

right triangle ABC

using Pythagoras' identity

BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

BC = [tex]\sqrt{625}[/tex] = 25

Since the triangles are congruent then corresponding sides are congruent.

ST = BC , that is

3x - 8 = 25 ( add 8 to both sides )

3x = 33 ( divide both sides by 3 )

x = 11

Which phrase represents this expression?

35÷(12−5)

Select each correct answer.


(1) 5 less than the quotient of 35 and 12

(2) 35 divided by the difference of 12 and 5

(3) the quotient of 35 and the difference of 12 and 5

(4) the total of 35 and 12 is subtracted by 5

Answers

Answer:

answer 2(35 divided by the difference of 12 and 5

Answer:

2 and3

Step-by-step explanation:

1) Solve the inequality 20 – 62 < -10.

Answers

Hey there!


20 - 62 < -10


20 - 62

= -42


-42 < -10

Therefore, your answer is: [TRUE] because -42 is SMALLER than -10


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

5. List three numbers that have square roots that are whole numbers greater than 12.​

Answers

Answer:

169, 196, and 225

Step-by-step explanation:

the square root of them is as follows:

   [tex]\sqrt{169}[/tex] = 13

   [tex]\sqrt{196}[/tex] = 14

   [tex]\sqrt{225}[/tex] = 15

to come to this conclusion, you have to square whole numbers above 12.

what is the fastest 10 km in 0.5h or 15 km in 1h ( PLS HELP ) :(

Answers

10 km in .5 hour. Since it is the same as 20 km in 1 hour. Multiplied by 2.
20 is greater than 15.
Please mark as best!

Simplify: 5x( 3 - 12x )-3(4- 20x^2 )

Answers

Answer: 3(5x - 4)

Step-by-step explanation: You first renarange your terms. Then you distribute them. Then you combine the the like terms. Then you find the common factor by factoring by group.

The answer to your question is 3(5x - 4) thank me later! <3

help asap its for my sis mathh

Answers

Answer:

The expression is:

[tex](5*6.50)+(3*24)-12=t[/tex]

The total Bella paid is:

$92.50

Step-by-step explanation:

5 shirts at $6.50 each

3 pairs of pants at $24.00 each

12 dollar discount

Let "t" be the total Bella paid.

[tex](5*6.50)+(3*24)-12=t[/tex]

[tex](32.50)+(3*24)-12=t[/tex]

[tex](32.50)+(72)-12=t[/tex]

[tex]32.50+72-12=t[/tex]

[tex]104.5-12=t[/tex]

[tex]92.5=t[/tex]

Find the center of the circle given by this equation:

Answers

Answer:

center is (5,3)

Step-by-step explanation:

[tex]x {}^{2} - 10x + y {}^{2} - 6y - 30 = 0 \\ x {}^{2} - 10x + y {}^{2} - 6y = 30 \\ add \: \: \: 25 \: \: and \: \: 9 \: oneach \: side \: to \: make \: perfect \: square \\ x {}^{2} - 10x + 2 + y {}^{2} - 6y + 9 = 25 + 30 + 9 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 64 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 8 {}^{2} [/tex]

Brandi created the circle graph below to
show the percentage of her monthly
5 The
allowance she allocates in different ways.
of cat
Allowance
Clothes
40%
Food
Books
Savings
15%
35%
Brandi allocates $20
each month to clothes.
Based on the information in the circle graph,
what must Brandi's total monthly allowance
equal?
F $50
G $40
H $60
J $90
7.6G

Answers

Based on the information in the circle graph,  Brandi's total monthly allowance is equal to $50.

What is the total monthly allowance?

A circle graph is used to represent information in a circle. The circle is divided into different section to represent the magnitude of each grouping.

Total allowance = amount allocated to clothes / percentage of circle graph that is allocated to clothes

$20 / 0.40  = $50

To learn more about circle graph, please check: https://brainly.com/question/26250795

#SPJ1

How to graph 14x+18y=126

Answers

We need to rearrange this into [tex]y=my+c[/tex]Subtract 14x from both sides[tex]18y=-14x+126[/tex]Divide both sides by 2[tex]9y=-7x+63[/tex]Divide both sides by 9[tex]y=\frac{-7x+63}{9}=\frac{-7x}{9} +\frac{63}{9}[/tex]Plot the point (0, 63/9)Then pick some x values and put them into the equation to find the respective y valuesThen plot those pointsFinally join up those points

What information about the houses that is not shown in this data could affect housing prices? check all of the boxes that apply. the location of the houses the size of the houses the selling prices the conditions of the houses the value of the houses relative to other homes in the same area

Answers

The information about the houses that could affect housing prices are;

location...size...the conditions... value of the...

What is price?

prices serves as the amount of money expected or required for a payment of a value given.

Therefore, from base on the meaning of prices from economics, value of the houses relative to other homes in the same area can affect the price.

Learn more about prices at;

https://brainly.com/question/19104371

Answer:

Step-by-step explanation:

A B D E

Just did it on Edge!!!!

Can anyone please help im stick on this question!!!

Answers

Answer:

28

Step-by-step explanation:

The mean is adding up all the numbers and then dividing by the total amount of numbers.
So with that in mind, we can set up a equation with the missing number as x.

[tex]\frac{x+19+22+31}{4} = 25[/tex]

Then you just solve.

A formula for the perimeter of a rectangle is P=2(l+w), where P is the perimeter, l is the length, and w is the width.

If the length of a rectangle is 64 centimeters and the width is 22 centimeters, what is the perimeter?

Answers

1408 because you need to multiply it to get the perimeter

to how many decimal places are you supposed to 'estimate' the answer to? ​

Answers

Answer:

79.2135

Step-by-step explanation:

5.34 - 2.52 = 2.82

2.82 divided by 0.0356 = 79.2135

What is worse Precalculus or AP Computer Science Principles?? I have to decide which class i want.

Answers

Answer:

This question kind of illogical, if it's a one before the other kind.

Explanation:

Computer scince priniples, especially AP, will most likely involve some equations and potential coding. Most of the numbers and coding will most likely involve some level of calc. Even if they didn't, this class indicates that you most likely wish to get into a form of computer science as a career, perhaps computer animation or engineering. Regardless of the path, some understanding of calculus would be immensly helpful in the future if not now. At the end of the day, it really is your call and not some people on a homework helping site, but I would choose precalc.

Note: Im not you, I don't know what you want in life, i'm just guessing here. Regardless, I believe you'll make the best descision my friend :).

percent sicount
A $44.00 video game is on sale for $28.60
A.20%
B.25%
C.30%
D.35%
E.40%
F.45%

Answers

Answer:

35%

Step-by-step explanation:

28.60 is what percent of $44          ?/100

28.60*100=2860     2860/44=65           100-65=35%

Need help 10 points

Answers

The radius is 2 and area = r^2*pi so 4*pi gives you 12.56 so the exact answer would be 12.56 and the answer with pi would be 4 times 3.14!

A circle has a diameter of 12 inches what is the best approximation of its area use 3. 14 to approximate for pie

Answers

Answer:

113.04 square inches

Step-by-step explanation:

The diameter of the circle is 12 inches, so the radius is (1/2) * 12 = 6 inches. The area of this circle is approximately 3.14(6^2) = 3.14 * 36 = 113.04 square inches.

Isabella invited some friends to her birthday party, but a few weren't able to attend. Of the friends she invited, 8 attended. That was 80% of the friends she invited. Shade the grid to show the percent of invited friends who attended the party. How many total friends did Isabella invite? You can use your model to help.

Answers

Answer:

80% or like 8 squares out of 10 oe=r 4 out of 5 ect

Step-by-step explanation:

Answer:

20 total friends

Step-by-step explanation: built different

A dance studio charges $17 for the first ballet class a dancer takes and $11 for each class after that. what are the first four terms of an arithmetic sequence in which an is the total amount a dancer pays, in dollars, for taking n ballet classes?

Answers

$17

17+11 = $28

28+11 = $39

39+11 = $50

17 + 11(n-1) $$

n-1 because removes the first class of $17

meg made 3 gallons of lemonade for a group of campers. if each camper gets 1 cup of lemonade, how many campers can have lemonade?

A. 16
B. 26
C. 48
D. 60

Answers

Answer:

C

Step-by-step explanation:

1 gallon = 16 cups

3 gallons = 48 cups if each camper gets one cup of lemonade, it can serve 48 campers.

1 gallon = 16 cups

3 x 16 = 48, so 48 campers can have lemonade :D

the answer is C)

hope this helps :)

5times5 =..:.::.please help

Answers

Answer:

25 Lol

Step-by-step explanation:

Answer:

Your answer is 25.

Step-by-step explanation:

I hope this helps you :)

pls mark brainleist :P

`

`

`

W/ <3...

Tori

What is the area of the trapezoid? (-2, 6) (3,6) (-4,-6) (5.-6)​

Answers

Answer:

84

Step-by-step explanation:

[tex]A[/tex]trapezoid= [tex]\frac{h(b_{1} + b_{2})}{2}[/tex]

Substitute the values into the equation: [tex]A=\frac{12(9 + 5)}{2}[/tex]

[tex]A=\frac{12(9 + 5)}{2}[/tex] (add 9 and 5)

[tex]A=\frac{12(14)}{2}[/tex] (multiply 14 by 12)

[tex]A=\frac{168}{2}[/tex](divide 168 by 2)

[tex]A=84[/tex] (your answer)

Hope this helps! Have a good day! :)

Find m < A

inscribed angles and arcs

Answers

Answer:

110°. b. b.

Step-by-step explanation:

..............

A triangle with a height of 12in.²has an area of 36 in.² how long is the base of the triangle

Answers

Answer: 6

Step-by-step explanation:

Area = ½base × height

36 = ½b × 12

½b = 36/12 =3

Base = 3× 2

Answer:

[tex]6in.^{2}[/tex]

Step-by-step explanation:

To find the area we need to multiply length*height.

Because a triangle is half of a square we need to divide the area by two.

12*6=72

72/2= 36

is the following a statistical question? How many quarts are in a gallon?
yes or no

Answers

Answer:

No

Step-by-step explanation:

A statistical question is one where results may vary but this isn't the case since it will always be 4 quarts=1 gallon.

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