A number x added to a number y is equal to 100. The number y is also equal to 10 more than the number x doubled. Write and solve a linear system to find the value of x and y.

Answers

Answer 1

Answer:   x + y=100---equation 1

               y =10+ 2x-----equation 2

                 x=30, y=70

Step-by-step explanation:

Given that

x added to a number y is equal to 100 which means that

x + y=100

and also that

y is also equal to 10 more than the number x doubled which is

y =10+ 2x

we have the linear systems to solve the equations as

x + y=100---1

y =10+ 2x-----2

Solving

Putting the value of y =10+ 2x in equation 1

x +10+ 2x =100

10+3x=100

3x=100-10

x=90/3=30

x=30

y=10 +2x = 10+2x30 =70


Related Questions

Which plot correctly displays the data set with maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?

Answers

Options :

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 32 to 45. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 31 to 39. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 31 to 39. A line divides the box at 36.

Answer:

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.

Step-by-step explanation:

Given the five number summary which are all displayed on a box and whisker plot :

Maximum = 48

Minimum = 27

Median = 36

Upper Quartile = 45

Lower quartile = 32

Maximum and minimum values are displayed by the whiskers :

Starting point of whisker = minimum value

End point of whisker = maximum value

The quartiles are displayed by the box :

Starting point of the box = lower quartile

End point of the box = upper quartile

Line in between the box = Median

Emmy baked 18 cookies with 3 scoops of flour. With 4 scoops of flour, how many cookies can Emmy bake? Assume the relationship is directly proportional.

Answers

Step-by-step explanation:

For 3 scoops = 18 cookies

Lets use the unitary method,

So for 1 scoop, how many cookies?

So, 18 /3 = 6

So, 1 scoop = 6 cookies

So for 4 scoops we will multiply by 6 (as 1 scoop = 6 cookies)

So, 4 x 6 = 24

So, 24 cookies can be made if we add 4 scoops of flour

4 scoops = 24 cookies

what does (-2,-3) look like on a graph

Answers

Answer:

looks like a line kinda

Step-by-step explanation:

8-(5.5) please help I need it ASAP

Answers

Answer:

2.5

Step-by-step explanation:

Please Help Me!! Will Give Brainliest!!!

Answers

x = 2 y = 1
y = 5 x= 4
x = -2 y = -7
y= 0 x= -3

PLEASE HELP ASAP! WILL GIVE BRAINLIEST! The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part.

Answers

Answer:

Solution:- In the given figure

Side of square= 10 cm

area of square =  side x side m= 10 x 10 = 100 sq cm

Now , diameter of semi circle AOD = 2r = 10cm

⇒ radius of  semi circle AOD = 5 cm

∴ area of AOD =  

similarly Area of semicircle BOC =  

Area of white portion in figure 1 = area of square - [ area of semicircle BOD + area of semicircle AOD]

=

Total area of white portion in the given figure=

∴Area of Shaded portion = area of square - area of total white portion

=  

So the area of shaded portion is  

Now perimeter of AD(which is a semicircle) = (as perimeter of semicircle=πr)

So the perimeter of shaded region = 4×perimeter of AD=4×15.7=62.8cm

Step-by-step explanation:

2
✓3
✓5
✓6
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 18 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit in
your answer.)
0
ft
ft?
ft
18
х
?
24 ft

Answers

Answer:

Area = 559.17 sq ft

Step-by-step explanation:

Area (rectangle) = 18 x 24 = 432

Area (semi-circle = πr²÷2 = 81π/2 = 127.17

can someone please help me with this

which of these quadratic equations has exactly two solutions or zeros

Answers

This question doesn’t make sense, because they all do..

WILL GIVE BRAINLIEST IF BOTH QUESTIONS ARE CORRECT!!!

Answers

Answer:

69824.21

¯\_(ツ)_/¯

\\ Λ_Λ This is Memecat. Help

\( 'ㅅ' ) memecat take over

> ⌒ヽBRAINLY by pasting her

/ へ\ in 999 other servers

/ / \\ or she will never

レ ノ ヽつ be a meme

/ /

/ /|

(=✪ᆽ✪=)

o(*≧□≦)o

Step-by-step explanation:

Use the rule "divide by 3" to continue the pattern. Then write the four terms of a different pattern that follows the same rule

Answers

Answer:

[tex](a)[/tex]

[tex]Pattern: 2187, 729, 243, 81, 27, 9,3, 1[/tex]

[tex](b)[/tex]

[tex]Pattern = 972,324,108,36[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex]Pattern: 2187, 729, 243, 81[/tex]

Solving (a): Continue the pattern using the divide by 3 rule

To do this, we simply divide the last term by 3, to get the next term.

So, we have:

[tex]81/3 = 27[/tex]

[tex]27/3 = 9[/tex]

[tex]9/3 = 3[/tex]

[tex]3/3 = 1[/tex]

So, the pattern is:

[tex]Pattern: 2187, 729, 243, 81, 27, 9,3, 1[/tex]

Solving (b): 4 terms of a different pattern using the same rule.

Let the first term be: 972

So, the next three terms is:

[tex]972/3 =324[/tex]

[tex]324/3 = 108[/tex]

[tex]108/3 =36[/tex]

So, the pattern is:

[tex]Pattern = 972,324,108,36[/tex]

how do i solve 3x-8x=-40

Answers

Answer:

The answer is 8 below is how you do it.

Step-by-step explanation:

first combine like terms 3x-8x

then you will have 5x

then do 40/5 and you will get x=8

Ok so to solve for x you need to isolate the variable. Usually, when solving an equation the first step would be to get all of the variables of x on the same side but this equation is already set up that way. Since 3x and 8x are both of the variable x you can simply subtract them and you would be left with:

-5x=-40

Now what you want to do is completely isolate x to get it by itself in which you would divide both sides by -5. Remember *When solving an equation you must do the same math to both sides.

-5x/-5=-40/-5

x=8

So the answer would then be 8. Also remember you can always check to see if your equation is correct by plugging your answer into the original equation

3(8) - 8(8) = -40

24 - 64 = -40

-40 = -40

Hope this helped :)

If you think of the equation as an equation for a line.
=+
y
=
m
x
+
b

where

=5/9(−32)
C
=
5
/
9
(
F

32
)

or

=5/9−5/9(32)
C
=
5
/
9
F

5
/
9
(
32
)

you can see the slope of the graph is 5/9
5
/
9
, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9
5
/
9
of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5
9
/
5
degrees Fahrenheit. Since 95
9
5
= 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5
9
/
5
degrees Fahrenheit, not 5/9
5
/
9
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

Answers

Answer:

The final answer is D

Step-by-step explanation:

Easy.

pls help me!! will give brainliest

Answers

Answer: (0,0)

If AB is translated right 5 units and down two then both points are translated by that amount.

A currently is (-5, 2)

x=-5 and y=2

Since youre going right by five your x value will increase by 5 so the point will instead be at x=0

Since youre going down by two your y value will decrease by 2 so the point will instead be at y=0

x=0 and y=0

(0,0)

Answer: its 0,0

Step-by-step explanation:

A new watch costs $38.85, and a new bracelet costs $22.38. If Maddy buys both, how much does she spend? no photo links cus its a write prob

Answers

Answer:

$61.23

Step-by-step explanation:

Find how much she will spend by adding the costs together

38.85 + 22.38

= 61.23

So, if she buys both, she will spend $61.23

Answer:

[tex] \bf \huge 61.25[/tex]

Step-by-step explanation:

Given that :

A new watch costs $38.85a new bracelet costs $22.38

to find :

If Maddy buys both, how much does she spend ?

explanation :

we have,

watch cost = $ 38•85bracelet cost = $ 22•38

finding the cost of how much maddy spend for watch and bracelet

⟼ watch cost = $ 38•85

⟼ bracelet cost = $ 22•38

for finding the both cost add watch and bracelet cost

⟼ $ 38•85 + 22•38

$ 61•23

maddy cost $ 61•23 for buys both.

Adele has 19 stamps in her collection.
For her birthday, Don gave her 5 more,
and then her father offered to buy her
more stamps to triple the number in
her collection. Which expression shows
how many stamps Adele will have in
her collection after her birthday?
A 19-(5 X 3)
B 19 + (5 X 3)
C (19-5) X 3
D (19 + 5) X 3

Answers

Answer:

D

19+5 is the total in her collection

multiply by three to triple

(19+5)x3

Answer:

D(19+5)x3

Step-by-step explanation:

she has 19, then don gave her 5 more

19+5

her father also offered to buy her three times so

(19+5)x3

There are 3 red marbles, 4 blue marbles, 2 green
marbles, and 6 clear marbles in a burlap bag. One
marble is randomly pulled from the bag. What is
the probability the marble was green?

Answers

Answer:

2 out of 15 chance its green

Step-by-step explanation:

there's 15 marbles in total and 2 are green

Solve for x
4/x = 2/7

Answers

the answer is 14

x=14

Select all names that apply to the number. The length of the side of a square that has an area of 77 square yards.


A real
B whole
C rational
D irrational
E integer

Answers

The length of the side would be sqrt(77) = 8.7749.....

This can be classified as two answers:

A and D

This is a real number

It is also an irrational number because it can’t we written as a simple fraction.

The area of a rectangle is 38.5 square inches. The base of the rectangle is 4 inches. What is the height of rectangle?

Pls help me on this one. PLSSS :(

Answers

Answer:

The answer is 9.625

Step-by-step explanation:

So what you have is the area and the base of the rectangle. To find the height, just divide 4 into 38.5

38.5 / 4 = 9.625

To double check just multiple 9.625 by 4

9.625 x 4 = 38.5

Hope this helps

If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 4 tails?

Answers

Answer:

9000

Step-by-step explanation:

9+648o30p

Answer:

1000

Step-by-step explanation:

it may not be right but i tried

if (x-y)=15 what is the value of x^2 -2xy+y^2​

Answers

Answer:

=225

Step-by-step explanation:

The value of x² - 2xy + y² would be; 225

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

we are given that (x-y)=15

The identity (x + y)² - (x - y)² = 4xy.

(x + y)²= (x² + 2xy + y²)

we have been asked to find x² - 2xy + y²

x² - 2xy + y² = (x - y)²

x² - 2xy + y² = 15²

x² - 2xy + y² = 225

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

Amanda bought 5 bottles of Pepsi and two medium pizzas, The Pepsi cost $9.95 and the total bill was
$29.93.



will mark brainlest

Answers

Answer:

9.99

Step-by-step explanation:

5 bottles of Pepsi equals $9.95 subtract that from $29.93 than u divide that anser by so ur answer is 9.99

Seventh grade > G.16 Add, subtract,
At the farmers' market, Ken bought 7/10 of a pound of string beans and 1/2 of a pound of
lima beans. How many more pounds of string beans did Ken purchase?

Answers

Answer:6/8

Step-by-step explanation:

Answer:

Ken bought 2/10 of a pond more of string beans then lima beans.

Step-by-step explanation:

1/2 = 5/10

7/10 - 5/10 = 2/10

2/10 = 1/5 if you need a more simplified answer.

Hope this helped!

The bank requires a minimum of $50 in the savings account.

it does not matter how much money is kept in the checking account

x represents the amount of money in the checking account and y represents the amount of money in the savings account.

what solution to the inequality?

Answers

Answer:

y50

(y is greater than or equal to 50 dollars)

Step-by-step explanation:

We don't need X as the amount in the checking account doesn't matter, so and Y must be equal to or greater than 50, so the answer is y≥50

Makayla has $8 to buy tickets at the school fair. Each ticket costs $1.50. Which inequality
best represents how many tickets she can buy?
n = number of tickets

Answers

Answer:

Third option is correct. Hence, N<5 is the best inequality that represents the number of tickets she can buy with $8

Step-by-step explanation:

Let f(x) = x^2
If g(x) is the graph of f(x) shifted up 4 units, write a formula for g(x)
G(x)=?

Answers

G(x)=x^2 +4 is the answer

Hi, sorry to bother you, but can you answer this question about probability?
From a standard deck of cards, draw a card, and then, without replacing it, draw another card.
P(diamond, black 2)

Answers

Answer:

sorry I don't get the question

Step-by-step explanation:

-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?

Answers

add -7x to the other side so the equation is

y=7x-2

slope is 7

y-int is -2

What's the distance between (2,-2) and (-5,-4)

Answers

Answer:

[tex]\sqrt{53\\}[/tex]

Step-by-step explanation:

Use the distance equation ([tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} = D[/tex]and plug in the values for the distance D

√((-5-2)^2 + (-4 - (-2))^2) = √53

I really need help if for a test plz help

What is the selling price of a $610 couch with a 35% markup?

Answers

171.248 Answer:

Step-by-step explanation:

You need to divide 600 by .35

Answer is

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