The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. Find the numbers.

Please use system of linear equations by elimination OR substitution. Please show the work as well.

Answers

Answer 1

Answer:

x = -6

y = 9

Step-by-step explanation:

The sum of two numbers is 3

x + y = 3

twice the larger number is 36 more than three times the smaller number

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

substitute for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

Answer 2

The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. The number are x = -6 and y = 9.

What is linear equation?

A linear equation is an equation in which each term has at max one degree.

Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on a cartesian plane

with axes of those variables, give a straight line.

It is given that the sum of two numbers is 3.

x + y = 3

Also, twice the larger number is 36 more than three times the smaller number, then

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

By substituting for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

now, divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

Learn more about linear equations here:

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Related Questions

Can you please Solve for x?

Answers

tan( 31 ) = x / 39

0.600860619 = x / 39

x = 0.600860619 × 39

x = 23.433564141

______________________________

Round to the nearest tenth :

x = 23.4

Round to the nearest hundredth :

x = 23.43

Let A and B be the two non-right angles in a right triangle.

Answers

Answer:

Step-by-step explanation:

adjacent=5  ,hypotenuse13  opposite=?

hypotenuse^2=opposite^2+adjacent^2

13^2=opposite^2+5^2

169-25=opposite^2

[tex]\sqrt144[/tex]=opposite

12=opposite

SinA=opposite/hypotenuse

12/13

therefore sinA =`12/13

A rec Eric Tangler prism as shown to have of 4 cm x 2 cm x 3 cm area

Answers

4 = Length
2 = Width
3 = Height

4x2x3=24 cm square

A quantity of tea is sold at Rs 48 per kg at a profit of 20%. The total gain is RS90 .What is the quantity of tea sold?​

Answers

Answer:

1.875kg

Step-by-step explanation:

48 - 1000g

90 - x

48x = 90000

x = 90000/48

  = 1875g = 1.875kg

Feel free to mark as brainliest :D

A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a certain price, t, to the school musical go on sale a. Write an equation to find out the prices at which the school would earn $100 in profit from the school musical each weekend. b. Find out at what prices the tickets should be sold at to make a $100 profit each weekend. SHOW ALL WORK.

Answers

Answer:

[tex](a)\ t^2 - 20t + 75= 0[/tex]

[tex](b)[/tex] [tex]t = 5; t -=15[/tex]

Step-by-step explanation:

Given

[tex]p(t) = t^2 - 20t + 175[/tex]

Solving (a): Equation when profit = 100.

This implies that:

[tex]p(t) =100[/tex]

So, we have:

[tex]100 = t^2 - 20t + 175[/tex]

Rewrite as:

[tex]t^2 - 20t + 175 - 100 = 0[/tex]

[tex]t^2 - 20t + 75= 0[/tex]

Solving (b): Calculate t, in (a)

In a, we have:

[tex]t^2 - 20t + 75= 0[/tex]

Expand

[tex]t^2 - 15t -5t + 75= 0[/tex]

Factorize

[tex]t(t - 15) -5(t - 15)= 0[/tex]

Factor out t - 15

[tex](t - 5)(t - 15)= 0[/tex]

Split

[tex]t - 5 = 0; t - 15 =0[/tex]

Solve

[tex]t = 5; t -=15[/tex]

The prices are $5 and $15, respectively

Brainliest for correct answer! :)

Answers

Answer:

280

Step-by-step explanation:

A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.

Answers

Answer:

He will have to cut off 1.25 inches.

Step-by-step explanation:

Take 5% of 5 inches

0.05(5)=0.25 inches

5 inches - 0.25 inches= 4.75 inches

4.75 inches is how wide the wood is after it shrinks.

Find how much he needs to cut off

4.75 inches - 3.5 inches=1.25 inches

He will need to cut off 1.25 inches in order for the block to fit exactly.

Write an equation of the line that passes through (0,9) and is parallel to the line y = 8x+7.

Answers

Answer:

[tex]y=8x+9[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slopes and different y-intercepts

1) Determine the slope

[tex]y = 8x+7[/tex]

From the given equation, we can identify 8 to be in the place of m, making 8 the slope. Because parallel lines always have the same slopes, the line we're currently solving for will also have a slope of 8. Plug this into [tex]y=mx+b[/tex]:

[tex]y=8x+b[/tex]

2) Determine the y-intercept

[tex]y=8x+b[/tex]

The y-intercept occurs when x=0. The given point is (0,9), telling us the the y-intercept is 9. Plug this into [tex]y=8x+b[/tex]:

[tex]y=8x+9[/tex]

I hope this helps!

GOTTA GRIND ON THIS SITE TO GET YOUR QUESTIONS ANSWERED!

Answers

Answer:

-8 or -5

Step-by-step explanation:

Find the arc length of XY. Round to the nearest hundredth.

Answers

Answer:

12.22

Step-by-step explanation:

Use arc length formula in degrees

(70/360) x 2 x pi x 10

agregenme o baneo la preguntta

Answers

Answer:

translate; Assault me or ban the question

Step-by-step explanation:

3. Two consecutive odd integers can be modeled by n and n + 2, where n is an
odd integer. The sum of two consecutive odd integers is 80. What are the
integers?

Answers

Step-by-step explanation:

Given :-

Two consecutive odd integers can be modeled by n and n + 2, where n is anodd integer. The sum of two consecutive odd integers is 80.

=> n + n +2 = 80

=> 2n + 2 = 80

=> 2n = 78

=> n = 78 ÷ 2

=> n = 39

numbers = 39 &41

Dani tracked the number of fish she caught per fishing trip and recorded the data in a frequency table. Fish caught Frequency 0 2 1 0 2 3 3 5 5 2 7 1 Create a dot plot for the data. Hover over each number on the number line. Then click and drag up to create the dots.

Answers

Answer:

Step-by-step explanation:

The dot plot of the recorded data in the frequency table is given below.

What is a dot plot?

A speck plot, otherwise called a strip plot or dab diagram, is a straightforward type of information perception that comprises information focuses plotted as spots on a chart with an x-pivot and y-pivot.

Dani tracked the number of fish she caught per fishing trip and recorded the data in a frequency table.

Fish caught Frequency 0 2 1 0 2 3 3 5 5 2 7 1 Create a dot plot for the data.

Hover over each number on the number line.

Then click and drag up to create the dots.

The graph is shown below.

More about the dot plot link is given below.

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What is 3x + y = 11 ir slope-intercept form?

Answers

Answer:

y= –3x+11

Step-by-step explanation:

hope it helps...

PICTURE INCLUDED!
A circle has a center point (4,1 and a point on the circle edge of (9, 1)​

Answers

Answer:

3rd choice

Step-by-step explanation:

i found it from online

HELP ME PLZPLZPZLZLZLZ

Answers

Answer:

sin x° = Opposite / Hypotenuse

x = 3.38

Step-by-step explanation:

sin 70° = x / 3.6

sin 70° × 3.6 = x

x = 0.93969262079 × 3.6

x = 3.38289343483 ~ 3.38

The difference between two positive numbers is 5 and the square of their sum is 169. find the two numbers.

Answers

Regards, !!!
ArmyCee:)

Answer:

The two number are 9 and 13

Step-by-step explanation:

9-4=5

9+4=13 and 13*13is 169

The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.


(a) Compare the populations using measures of center and variation.


(b) Express the difference the measures of center as a multiple of each measure of variation.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Using the Median (measure of center) and range

Room 212 :

Median = 20

Range = maximum - minimum = (22 - 15) = 7

Interquartile range = Q3 - Q1

Q3 = 21

Q1 = 19

IQR = 21 - 19 = 2

ROOM 214 :

Median = 22

Range = maximum - minimum = (25 - 16) = 9

Interquartile range = Q3 - Q1

Q3 = 23

Q1 = 20

IQR = 23 - 20 = 3

A recipe requires only blueberries and strawberries. This list shows the amounts required for 1/4 of the whole recipe: 1/2 cup blueberries 2/5 cup strawberries In this table, select the number of cups of blueberries and the number of cups of strawberries required for the whole recipe.HELP ASAP​

Answers

The whole recipe requires 1/2 cup of blueberries and 2/5 cup of strawberries.

To find the amounts required for the whole recipe, we can multiply the amounts required for 1/4 of the recipe by 4:

For blueberries:

1/4 x 4 x 1/2 = 1/2 cups

So, the whole recipe requires 1/2 cup of blueberries.

For strawberries:

1/4 x 4 x 2/5 = 8/20 = 2/5 cups

So, the whole recipe requires 2/5 cups of strawberries.

Therefore, the whole recipe requires 1/2 cup of blueberries and 2/5 cups of strawberries.

To learn more about multiplication;

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What is x times -3 ?

Answers

Answer:

-x3

Step-by-step explanation:

its simple x = 1

Answer:

-3x

Step-by-step explanation:

The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and
QS = 10 , find RT.



Can someone help pleasee

Answers

Answer:

10

Step-by-step explanation:

The diagonals of a rectangle are congruent.

RT = QS = 10

Answer: RT = 10

Answer:

Your answer should be 10.

Step-by-step explanation:

In order for a quadrilateral to be classified as a rectangle, BOTH diagonals must be congruent. Otherwise, the quadrilateral cannot be classified as a rectangle. Hope this helps you out!

Item 4
Find the surface area of the prism.



The surface area is
a
square feet.

Answers

??????????????????????

Answer:

xnxnxnzznchamschdntjekdfurnthsjdnfjdjdjdkdkr

Step-by-step explanation:

xmxmxnxmxmxnxmxnxndmsndfhakxufmrjdkxddjrf7sjrifxisufkf8dhrkfdkshgshdbfjdddnfjfkdnfmcmcmdmdkfkfkkfdkfkfkfkfkfkfkfkkfkfkfkfkfkdkdkdmdkdkdkdkdmdmrmddmrm1520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126

log(2x+5)+10=13 SHOW WORK PLEASE

Answers

Answer:

x = 497.5

Step-by-step explanation:

that's the correct answer with solution

find the slop if the line through each pair of points (-13,1),(-16,1)

Answers

Answer:

[tex]slope = \frac{(1 - 1)}{( - 16 - ( - 13))} \\ = \frac{0}{ - 3} \\ = 0[/tex]

Answer:

Slope is 0

Step-by-step explanation:

simplify 4x^2+2x/x^2+x-2/8x^2+4x/3x^2+10x+8

Answers

Answer:

[tex]\frac{4x^{3} }{3} +\frac{15x^{2} }{4} +11x+\frac{2}{x} +8[/tex]

Step-by-step explanation:

Answer:

3x+4/2(x-1)

Step-by-step explanation:

I took the quiz

What is the area of the hexagon? 5 cm 8 cm 9.28 cm​

Answers

Answer:

57.12 cm²

Step-by-step explanation:

The given dimensions of the hexagon are;

The side length of the hexagon, s = 5 cm

The distance across flats = 8 cm

The distance across corners = 9.28 cm

The area of a regular hexagon, 'A', is given as follows;

[tex]A = \dfrac{3 \cdot \sqrt{3} }{2} \cdot s^2= \dfrac{1}{2} \cdot P \cdot a = 3\cdot s\cdot h[/tex]

Where;

a = The side length of the hexagon

P = The perimeter of the hexagon

h = The height of one of the triangles in the hexagon

However with the given dimensions, the area of the hexagon can be found by finding the sum of the areas of the triangles that make up the rectangle

A₁ = A₃ = A₄ = A₆ = (1/2) × 4.64 cm × 4 cm = 9.28 cm²

A₂ = A₅ = (1/2) × 5 cm × 4 cm = 10 cm₂

The area of the hexagon, A = A₁ + A₃+ A₄ + A₆ + A₂ + A₅ = 4 × A₁ + 2 × A₂

∴ A = 4 × 9.28 cm² + 2 × 10 cm² = 57.12 cm²

2 × (5×4/2 + 2×9.28/4×4) = 57.12 cm²

The area of the hexagon, A = 57.12 cm²



In circle E with m DEF 36 and DE = 3 units find area of
sector DEF. Round to the nearest hundredth.
E

Answers

Answer:

A ≈ 2.83 units²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{36}{360}[/tex]

   = π × 3² × [tex]\frac{1}{10}[/tex]

    = [tex]\frac{9\pi }{10}[/tex]

   ≈ 2.83 units² ( to the nearest hundredth )

I need help please I don’t understand it :(

Answers

Answer:

[tex](8)[/tex] → [tex]x-(8+2)[/tex]

[tex](9)[/tex] → [tex]x+(8-2)[/tex]

[tex](6)[/tex] → [tex]5-n[/tex]

[tex](5)[/tex] → [tex]8-x[/tex]

[tex](2)[/tex] → [tex]5-n[/tex]  

[tex](7)[/tex] → [tex]x+(5+7)[/tex]

[tex](4)[/tex] → [tex]x-8[/tex]

[tex](10)[/tex] → [tex]x+x[/tex]

[tex](1)[/tex] → [tex]n+5[/tex]

[tex](3)[/tex] → [tex]x+8[/tex]

-------------------------

hope it helps...

have a great day!!

which is greater ? -9/13 and-7/12 or. -8/9 and -9/10​

Answers

Answer:

-8/9 and -9/10​ is greater

Step-by-step explanation:

Answer:

greatest is -8 / 9 and - 9 / 10

Step-by-step explanation:

-7/ 12 is greater than -9 / 13

-8 /9 and -9 / 10 are equal because

-8/9 = 0.888 if we round off it's 0.9

and - 9 / 10 is 0.9 so that's why they are equal to each other

Hope this answer helps you :)

Have a great day

Mark brainliest

find the volume of a cylinder with a radius of 12 cm and a height of 20 cm show work​

Answers

Step-by-step explanation:

the volume = 3.14×12²×20

= 9043.2 cm³

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