Solving systems of linear equations by substitution y= 2x-1 y = 3x +2

Answers

Answer 1

Answer:

(x,y)=(-3,-7)

Step-by-step explanation:

step 1

y=2x-1

y=3x+2

=

2x-1=3x+2


Related Questions

A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the distance between them decrease?

Answers

How fast the distance between them decrease is 16mph

How to calculate the speed of an object?

Given the following parameters

Speed of the hiker = 6mph

If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:

6 = 3x/11
3x = 66

x = 22mph

Distance between them  = 22 - 6

Distance between them = 16mph

Hence how fast the distance between them decreases is 16mph

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Answer: 28 mph

Step-by-step explanation:

What is 4 – 12? −16 −8 8 16
please help

Answers

Answer: -8

Step-by-step explanation:

Find the area of a regular octagon with an apothem length of 10 and a side length of 6.

Answers

Answer:

A = 240 units²

Step-by-step explanation:

the area (A) of a regular polygon is

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then

A = [tex]\frac{1}{2}[/tex] × 48 × 10 = 24 × 10 = 240 units²

Answer:

Step-by-step explanation:

Preliminary task

Draw a regular octagon.

Draw a perpendicular from the side's midpoint to the center. (That is the  apothem).

Draw two radii from the center of the side to the center of of the octagon. The endpoints of these two radii is the endpoints of the octagon's side.

The octagon has 8 such triangles.

Area one triangle

Area = 1/2 * side *  apothem

side = 6

apothem = 10

Area = 1/2 6 * 10

Area = 30

Area of 8 such triangles.

Area = 8 * area of 1 triangle

area 1 triangle = 30

Area of 8 such triangles = 30*8 = 240

Answer 240

Simplify the expression.

3.8m + 7 - 2.8m

​(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the​ expression.)

Answers

Answer:

m + 7

Step-by-step explanation:

→ Collect like terms

3.8m - 2.8m + 7

→ Simplify

m + 7

5.1/ 5.2/5.3 depending on what symbol wanted of the operation

find the base of the triangle !
please hurry! Thank you!

Answers

Answer:

given

area of triangle = 48

height(h)=12

base(b) =‽

now,

area of triangle(a) =1/2 base×height

48=1/2 b×12

48=b×6

b=8

A circular flower bed in a botanical garden has a radius of 4 feet. what is the area of the flower bed? use 3.14 for π . enter your answer to the nearest hundredths place in the box. question 7 options:

Answers

Area of a circle is radius squared•pi. 4squared is 16. 16•3.14=50.24

The area of the flower bed has a radius of 4 feet is 16π or 50.24 square feet.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circular flower bed in a botanical garden has a radius of 4 feet.

Then the area of the flower bed will be

Area = π r²

Area = π × 4²

Area = 16π

Area = 16 × 3.14

Area = 50.24 square feet.

More about the circle link is given below.

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An account statement has a balance of 109 dollars and 75 cents. carl is balancing his checking account. after comparing the bank statement to his register, he notices an outstanding debit of $58.00. which shows the correct amount in carl’s checking account? $51.75 $109.75 $167.75 $221.87

Answers

The correct amount in carl’s checking account will be $51.75. Then the correct option is A.

What is subtraction?

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

An account statement has a balance of 109 dollars and 75 cents.

Carl is balancing his checking account.

After comparing the bank statement to his register, he notices an outstanding debit of $58.00.

Then the correct amount in carl’s checking account will be

→ 109.75 - 58 = $ 51.75

More about the subtraction link is given below.

https://brainly.com/question/4319655

Answer:

Step-by-step explanation:

a

Find n that makes this equation true.

4^4 + 4^4 + 4^4 + 4^4
________________ = 4^n
4^3 + 4^3

Answers

Answer:

4^4 + 4^4 + 4^4 + 4^4=20

4^3 + 4^3=128

I can't get the real answer

but what can

From the information in the diagram, what is m ∠G?

Answers

Answer:

107⁰

Step-by-step explanation:

The m<g =107⁰

I hope it helped you

The measure of the angle ∠PGL will be equal to 107 degrees.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔPGL and ΔNHE,

PG  = NH (given)

GL = HE (given)

If the angle ∠PGL and ∠NHE become congruent, the triangle ΔPGL and ΔNHE will be congruent to each other.

∠PGL = ∠NHE

∠PGL = 107°

The measure of the angle ∠PGL will be equal to 107 degrees.

More about the triangle link is given below.

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Use your findings from problem 8-79 to answer the questions below. Recall that the diameter of a circle is a segment with endpoints on the circle that passes through the center. The length of the segment is also called the diameter.

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

a) Area of circle with radius 10 units

A = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 sq. units

b) Circumference of circle with diameter 7 units

r = d/2 = 7/2 unitsC = 2πrC = 2 x 22/7 x 7/2C = 2 x 11 = 22 units

c) Diameter of circle with area 121π square units

A = πr²121π = πr²r² = 121r = √121 = 11 unitsd = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr20π = 2πrr = 10 unitsA = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 square units

Area of circle with radius 10 units is 314 square units,

Circumference of circle with diameter 7 units is 22 square units,

Diameter of circle with area 121π square units is 22 units and

Area of circle with circumference 20π units is 314 square units

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

a) Area of circle with radius 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 sq. units

b) Circumference of circle with diameter 7 units

C = πd

C = 3.14×7

C = 21.98 units

c) Diameter of circle with area 121π square units

A = πr²

121π = πr²

r = √121 = 11 units

d = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr

20π = 2πr

r = 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 square units

Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units

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EZ QUESTION, FREE BRAINLIEST

Answers

The maximum possible area is 36 square units.

Answer:

36sq Units at max? i think

Step-by-step explanation:

Have a good day!

#ViolentJax~

Will give BRAINLY AND FIVE STARS and A THANKS

Answers

Answer:

7 to 49

Step-by-step explanation:

The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.

Answer:

k = 7h.

Step-by-step explanation:

Each value of k is 7 times the value of h.

So k = 7h.

Please help me solve this problem ASAP

I have a huge test coming up and I need to understand the questions
( Will mark brainiest )

Answers

Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]

P.S: I anwsered it here:

https://brainly.com/question/27350649

Answer:

1.25

Step-by-step explanation:

There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.

7) Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%, how much will the shoes be worth
in 2 months (8 weeks)?

Answers

Answer:

$100.8

Step-by-step explanation:

what's the answer to this question and how do I solve it?

Answers

Answer:

80 gummy bears are in 4 servings.

Step-by-step explanation:

2 servings=40 gummy bears

3 servings=60 gummy bears

40+20=60

Add 20 gummy bears for every serving.

5 servings=100 gummy bears

100-20=80 gummy bears are in 4 servings



OR you can also do:

40÷2=20 gummy bears are in each serving

So, 4x20=80 gummy bears are in 4 servings

how do you do 35x56 i need help please

Answers

Answer:

EASY-

Step-by-step explanation:

First you need to write down the equation into what I call box form.
The answer is 1,960 click on the picture for explanation.

Brad has a garden with dimensions 12 feet long x 7 feet wide. He wants to enlarge the garden to an area of 119 square feet. How much farther will he need to extend the length of the garden to attain his desired area?

Answers

Answer:

5 more feet

Step-by-step explanation:

iff you add 5 more feet to 12 ft., you'll get 17 ft., and you can multiply that by 7 to get 119

5 more Feet I hop this Can works

The air quality index, or aqi, measures how polluted the air is in your city and assigns a number based on the quality of the air. over 100 is "unhealthy". the number of days the aqi exceeds 100 in a given year is modeled by the following quadratic regression equation: n = 1.76 t squared minus 13.32 t 41.00 let n represent the number of days the aqi exceeds 100 in a given year. approximately how many days did the aqi exceed 100 in the year 1988? round to the nearest whole day. (let t represent the number of years since 1990. therefore, t = 0 corresponds to the year 1990.) a. 60 days b. 75 days c. 61 days d. 21 days

Answers

The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The air quality index (AQI) is given by the function.

[tex]\rm n = 1.76t^2-13.32 +41[/tex]

Where n be the number of days the AQI exceeds 100 in a given year.

For [tex]\rm t = -2[/tex], then we have

[tex]\rm n = 1.76(-2)^2-13.32(-2) +41\\\\n = 7.04+26.64+41\\\\n = 74.68 \approx 75[/tex]

More about the function link is given below.

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4. Evaluate and then express 2(11 x 10') in the form A X 10" where Is A < 10 and n is an integer​

Answers

Answer:

Step-by-step explanation:

hello : 2,2×10²    where  : A =2,2   ( A < 10)  qnd     n =2  (is  integer​)

The following histogram shows the number of minutes that 29 students took to complete an exam.

Based on this histogram, about 10% of students took less than

minutes to complete the

exam.

Time spent taking an exam

12

10

Frency

9
.

20

Answers

Using the histogram, it is found that about 10% of students took less than 40 minutes to complete the exam.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

Researching the problem on the internet, it is found that the histogram states that:

One student completed the test in less than 10 minutes.Two students took between 30 and 40 minutes to complete the test.

10% of 29 is approximately 3, hence about 10% of students took less than 40 minutes to complete the exam.

More can be learned about histograms at https://brainly.com/question/25836450

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2(x - y)2 - 9(x - y) + 10​

Answers

Answer:

Step-by-step explanation:

hello :

2(x - y)2 - 9(x - y) + 10​

calculate : 2(x²-2xy+y²) -9x+9y +10 = 2x²-4xy +2y²-9x+9y+10

The answer would be -5x + 5y + 10. Hope this helps and please mark brainliest!

Please help; struggling in Algebra

Answers

Answer:

50

Step-by-step explanation:

The mean splits a data set into 50-50

So the answer is 50

Explain how you could calculate the surface area of a square pyramid

Answers

There are two different ways to find surface area of square pyramid

1st

If you are given the slant height and the side length

[tex]\sf surface \ area \ = \ a^2 + 2(a)(l)[/tex]

a = side lengthl = slant height

2nd

If you are given the height and the side length

[tex]\sf surface \ area = a^2+2a\sqrt{\dfrac{a^2}{4}+h^2 }[/tex]

a = side lengthh = height

Answer:

sample response

Step-by-step explanation: :)

You would first calculate the area of the base, which is length times width. You would then calculate the area of the faces, which is 1 2 (base times height) and multiply the result by 4 for the 4 faces. Finally, add the area of the base and the areas of the faces.

What is the range of the function f(x) = |x| + 3?

{f(x) ∈ ℝ | f(x) ≤ 3}
{f(x) ∈ ℝ | f(x) ≥ 3}
{f(x) ∈ ℝ | f(x) > 3}
{f(x) ∈ ℝ | f(x) < 3}

Answers

{f(x) ∈ ℝ | f(x) ≥ 3}  is the range of f(x) = |x| + 3

⇒ Range is in the y-axis

When graphing the following equation shown below:

f(x) ≥ 3f(x) ∈ ℝ[ 3, ∞ ]

Answer:

{f(x) ∈ ℝ | f(x) ≥ 3}

Step-by-step explanation:

The range of a function is the output values (y-values).

Absolute value is the distance of x from zero, so it is never negative.  It is denoted by a bar on either side of the term.

Therefore, as |x| ≥ 0 then |x| +3 ≥ 3

Therefore, the range of the function is {f(x) ∈ ℝ | f(x) ≥ 3}

The sum of two numbers is 3. Their difference is 13. Find the numbers.

Answers

Answer:

The numbers are

5

and

8

Step-by-step explanation:

We know:

m

n

=

3

And we know:

m

+

n

=

13

Next, solve the first equation for

m

:

m

n

+

n

=

3

+

n

m

0

=

3

+

n

m

=

3

+

n

Then, substitute

3

+

n

for

m

in the second equation and solve for

n

:

m

+

n

=

13

becomes:

(

3

+

n

)

+

n

=

13

3

+

2

n

=

13

3

+

3

+

2

n

=

3

+

13

0

+

2

n

=

10

2

n

=

10

2

n

2

=

10

2

2

n

2

=

5

n

=

5

Now, substitute

5

for

n

in the solution to the first equation and calculate

m

:

m

=

3

+

n

becomes:

m

=

3

+

5

m

=

8

The solution is:

n

=

5

and

m

=

8

[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]

find the exact value of 2sin30 cos30

Answers

Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Let's take a look at the unit circle below.

Remmeber that cos represents the x-value and that sin represents the y-value.

We see that:

[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]

Now we just multiply all the together and we get:

[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]

You are filling a 5-L fish tank using a 250-mL container. How many full containers are required to fill the fish tank? PLEASE HELP NOW

Answers

Answer:

20 containers

Step-by-step explanation:

5L =  5000ml

so,

5000/250 = 20 containers

I hope my answer helps you.

given:

fill 5L tank using 250 ml container .

to find:

how many full containers are required to fill the tank.

solution:

1 L= 1000 mL

1000 mL/250mL = 4

1 L= 4 full containers

4 containers x 5 liters = 20 full containers.

so, 20 full containers are required to fill the fish tank.

A figure was moved 5 units to the right, then a
mirror image was made. Which transformations were used? Rotation, dilation, reflection, translation

Answers

Answer:

Step-by-step explanation:

First a translation then a reflection.

The soccer players were required to run 6 more laps per day than the tennis players for five straight days. If the soccer players ran 45 laps total during these days, how many laps did the tennis players run each day?

Answers

Answer:

3 laps per day

Step-by-step explanation:

Divide 45 laps by 5 days to get how many laps they ran per day

45/5 = 9 laps per day

The tennis players run 6 less laps per day than the soccer players so subtract 6 laps from 9 laps to get their daily laps

6-9 = 3 laps per day

Please answer number 8. I need help, I don’t understand.

Answers

Answer:

A=2πrh+2πr2 this is the surface are formula of a cylinder. You already know the scale ratio is 2.5 so the answer is (2.5*surface area formula). For the formula just plug in the values for the radius and the height that is given and solve.

Step-by-step explanation:

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