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

Pls Help
Can i make -14/21 into a whole number?

Answers

Answer:

no

Step-by-step explanation:

Mr. Reyes broke his bicycle. He asked Renato to fix it. Renato charged 350 php for the
new parts of the bicycle and 150 php per hour for labor to repair the bicycle. If Renato
spent 4 hours repairing Mr. Reyes’ bike, what is the total amount he needs to pay?

a. What is asked?
b. What are the given numbers?
c. What are the operations needed?
d. Write the number sentence.
e. Solve. Show your solution.​

Answers

Answer:

950 php

Step-by-step explanation:

a. What is asked?

Find the total amount for repair of the bike.

b. What are the given numbers?

350 php for parts and 150 php per hour for labor. Total 4 hours repair duration.

c. What are the operations needed?

Multiplication and addition

d. Write the number sentence.

Find the labor charge by multiplying the rate by the number of hours and add to the cost of parts.  

e. Solve. Show your solution.​

350 + 150*4 = 350 + 600= 950 php

find the values of p and q​

Answers

Question -

If the ordered pairs (p, -1) and (5, q) belong to {(x, y): y = 2x-3}, find the values of p and q.

Solution -

Given -

the ordered pairs (p, -1) and (5, q) belong to

{(x, y): y = 2x-3)}

To find -

the values of p and q

Solution -

{(x, y): y = 2x - 3}

Putting,

x = p and y = -1

[tex]\:\:\:\:\:\implies\:\:[/tex] {(p, -1): - 1 = 2p - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] -1 + 3 = 2p

[tex]\:\:\:\:\:\implies\:\:[/tex] {2 = 2p}

[tex]\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}[/tex]

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}[/tex]

{(x, y): y = 2x -3}

Putting,

x = 5 and y = q

[tex]\:\:\:\:\:\implies\:\:[/tex] {(5, q): q = 2(5) - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] q = 10 - 3

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}[/tex]

[tex]\therefore\bf{p=1\:and\:q=7}[/tex]

Ill give brainly

The diagram below, not drawn to scale, shows a prism of length 30 cm. The . cross-section WXYZ is a square with area 144 cm”.

Calculate (i) the volume, in cm', of the prism ( 2 marks) (ii) the total surface area, in cm', of the prism. ( 4 marks)​

Answers

Answer: 1) 4320 cm^3

              2) 1728 cm^2

Step-by-step explanation:

1) V= 12 x 12 x 30 = 4320

2) S= 144 + 144 + 12 x 30 x 4 = 1728

When x = 4, what is the value of y in the equation 3x - 2y = 6?

Answers

Here's the answer of it.

Answer:

The answer is 3

Step-by-step explanation:

Write 360 as a product of primes.
Use index notation when giving your answer

Answers

Answer:

First, find any number that divides evenly into 360. Perhaps the number that comes to mind, since it ends in a 0, is 10. Since 10 divides into 360 and the result is 36, you can write 360 = 10*36.

Step-by-step explanation:

Sana makatulong

Solve this equation. Enter your answer in the box. -5/6 - 2/3e=24

Answers

Answer:

[tex] - \frac{5}{6} - \frac{2}{3} e = 24 \\ - 1.2 - 1.5e = 24 \\ - 1.5e = 24 + 1.2 \\ - 1.5e = 25.2 \\ e = - \frac{25.2}{1.5} \\ e = - 16.8 [/tex]

Which equation does the graph below represent?

A coordinate grid is shown. The x-axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y-axis values are from negative 10 to positive 10 in increments of 2 for each grid line. A line is shown passing through the ordered pairs negative 4, 8 and 0, 0 and 4, negative 8.

y = −2x
y = fraction negative 1 over 2x
y = 2x
y = fraction 1 over 2x

Answers

Answer:

y = -2

Step-by-step explanation:

The graph passes through (0,0) and (-1,2).

The equation of a line passing through the origin is of the form,

y = mx

We now substitute (-1,2) to obtain,

2 = -m

This implies that,  

m = -2

The equation is

y = -2

I also took the test I got it right

What is the angle measure for

Answers

Answer:

x = 6

∠PQR = 29

Step-by-step explanation:

Sum of interior angles in a triangle is 180,

15x - 4 + 4x + 5 + 65 = 180

15x + 4x + 5 - 4 + 65 = 180

19x + 1 + 65 = 180

19x + 66 = 180

19x = 180 - 66

19x = 114

x = 114 / 19

x = 6

∠PQR = 4x + 5

Substitute x = 6,

∠PQR = 4 ( 6 ) + 5

          = 24 + 5

∠PQR = 29

Find the equation of a line that passes through the point (-3,-2) and has a gradient of -4.
Leave your answer in the form y = mx + c
maths help pls

Answers

Answer:

y = -4x - 14

Step-by-step explanation:

plug (x, y) in to the y = mx+ b formula, and plug -4 in as m

havent used this website in a minute lol
100 points show ALL steps

Answers

[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]

[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]

[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]

Answer:

[tex]9xy\sqrt{3y}[/tex]

Step-by-step explanation:

See the steps below:

[tex]\sqrt{108x^2y^3} -\sqrt{12x^2y^3} +x\sqrt{75y^3} =[/tex][tex]\sqrt{36*3x^2y^2y} -\sqrt{4*3x^2y^2y} +x\sqrt{25*y^2y} =[/tex][tex]6xy\sqrt{3y} -2xy\sqrt{3y} +5xy\sqrt{3y} =[/tex][tex](6 - 2+ 5)xy\sqrt{3y} =[/tex][tex]9xy\sqrt{3y}[/tex]

Joans father is 38 years old today how many days old is he?

Answers

Joans father is 13,870 days old

38 X 365= 13,870

present value computations are also referred to as

Answers

Answer:

market price

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Marisol bought a soda for $1.99 and 6 bags of chips, which cost "m" dollars each. Which equation represents
the total amont, T, that Marisol spent?

Answers

The equation which represents  the total amount, T, that Marisol spent is [tex]T = 1.99 + 6m[/tex]

Let the total amount spent be T.Let the cost of bags of chips be m.

Given the following data:

Cost of soda = $1.99

To find the equation which represents  the total amount, T, that Marisol spent:

Translating the word sentence into an algebraic expression, we have;

6 bags of chips = [tex]6m[/tex]

The total amount is equal to:

[tex]T = 1.99 + 6m[/tex]

Therefore, the equation which represents  the total amount, T, that Marisol spent is [tex]T = 1.99 + 6m[/tex]

Read more: https://brainly.com/question/13282374

Find the slope of the line that passes through the following points: 5,10.5 25,12.5

Answers

the slope is 1/10

y2 - y1 / x2 - x1

Classify the system of equations and identify the number of solutions.
2x + y = 5
6x + 3y = 25
inconsistent; one
consistent, dependent; one
consistent, dependent; infinite
inconsistent; none
HELP ASSAP PLS

Answers

Step-by-step explanation:

2x + y = 5 (times 3)

6x + 3y = 25

↓↓↓↓↓↓↓↓↓↓↓↓

6x + 3y = 15

6x + 3y = 25

No solution

2x+y=5

y=-2x+53y=-6x+15--(1)

6x+3y=25

3y=-6x+25

As slopes are equal lines are parallel

So no solutions

Option D

Damian is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 4 points. What would be Damian's test score (out of 40) if he got 4 questions wrong? What would be his score if he got xx questions wrong?

Answers

Answer:

36/40 or 90%

Step-by-step explanation:

First convert it to a fraction, which in this case is 36/40.

To find the percentage, we need to find an equivalent fraction with the denominator of 100. Multiply both numerator & denominator by 100.

36/40 × 100/100

= (36 × 100/40) × 1/100 = 90/100

Therefore, the answer is 90%.

If you are using a calculator, simply enter 36÷40×100, which will give you 90 as the percentage.

if answered correctly will give brainliest Who was prosecuting Ernesto Miranda? (what government entity is bringing the case against him?)

Answers

Answer:

Only the government initiates a criminal case, usually through the U.S. attorney's office, in coordination with a law enforcement agency. Allegations of criminal behavior should be brought to the local police, the FBI, or another appropriate law enforcement agency.

Step-by-step explanation:

Only the government initiates a criminal case, usually through the U.S. attorney's office, in coordination with a law enforcement agency. Allegations of criminal behavior should be brought to the local police, the FBI, or another appropriate law enforcement agency.

Given that lines a and b are parallel and that m∠3 = 66°, find m∠8.A)42°B)66°C)84°D)114°

Answers

Answer:

b 66

Step-by-step explanation:

Find the slope of the following graph.
-3
3
1/3

Answers

Answer:

Step-by-step explanation:

its 1/3, 1 to right and 3 up

Help plsssssssssssssss

Answers

The first graph and then the third graph and then the fifth graph and then the 4th graph.

Show steps please
let x and y be the functions of time t that are related by the equation 2x^2 + 3y^3 - 4 x y = 36. At the same time t =1, the value of x=2, the value of y = -2 and the value of dy/dt is 4. Find the value of dx/dt at time t=1

Answers

Answer:

I cant understand..

Step-by-step explanation:

what is the area of a rectangle with a length of 1/12 foot and a width of 3/4 foot?

A: 1/16 ft2
B: 1/12 ft2
C: 2/3 ft2
D:5/6 ft2 DUE TODAY PLZ DO WORK WORK 150 POINTS!!!

Answers

L=1/12ftB=3/4ft

Area::

L×B1/12×3/43/481/16ft^2

dave can clean pools at a constant rate of 3/5 pools/hour. how many pools can dave clean in 15 hours?

Answers

pretty sure that its 9, multiply 3/5 (.6) by 15 and you get 9

Please help and hurry!

Answers

Answer: 3 option correct

6x/6 = −42/6
please answer

Answers

Answer:

x = -7?

Step-by-step explanation:

how?

the last screenshot couldn't fit so: 6x/6 = -42/6

Which pair of numbers have a greatest common factor of 5?

Select each correct answer.

15 and 25
30 and 15
20 and 30
10 and 5

Answers

Answer:

15 and 25

10 and 5

Step-by-step explanation:

Dilate XYZ at Center 0 and a scale factor of 12
0
2
Dilate FGHJ at center Rand

Answers

Where is the diagram?

helppp meeeeeeeeeeeeeeeeeee

Answers

Answer:

0.887 kg

Step-by-step explanation:

3.548/4=0.887

Answer:

.887 kg per container

Step-by-step explanation:

Take the total amount of peanut butter and divide by 4

3.548 / 4

.887 kg per container

1) make q the subject of the formula 4(q+p)=5+7q

2) Make x the subject of the formula y=2a-bx^2

Answers

Answer:

1) [tex]q = \frac{4p}{3} -\frac{5}{3}[/tex]

2) [tex]x = \frac{\sqrt{b -y + 2a} }{b}[/tex]

Step-by-step explanation:

1) 4(q + p) = 5 + 7q

  Multiply 4(q + p):

  4q + 4p = 5 + 7q

  4p - 5 = 7q - 4q

  4p - 5 = 3q

  [tex]\frac{4p}{3} - \frac{5}{3} = \frac{3q}{3}[/tex]

   [tex]\frac{4p}{3} - \frac{5}{3} = q[/tex]  or  [tex]q = \frac{4p}{3} - \frac{5}{3}[/tex]

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