Solve the pair of simultaneous equations and leave the answer as a fraction in

its lowest term. 2x − 3 = y, x+ y= 8​

Answers

Answer 1

Answer:

x = 11/3 = 3 2/3

y = 13/3 = 4 1/3

Step-by-step explanation:

Here, we want to solve the system of equations simultaneously

x + y = 8

2x -3 = y

From the second equation, we have an equation for y

we can simply proceed to substitute this into the first equation

x + 2x - 3 = 8

3x - 3 = 8

3x = 8 + 3

3x = 11

x = 11/3

Recall;

y = 2x - 3

y = 2(11/3) - 3

y = 22/3 - 3

y = (22-3(3))/3

y = (22-9)/3 = 13/3


Related Questions

Solve t/12=4.

The solution is t=

Answers

T=48

You just need to find out how many times 12 goes into a number, 4 times.

Which is 48 because 12x4 is 48 and you can check your answer by dividing 48/12=4

Answer:

T = 48

Step-by-step explanation:

multiply both sides by 12 to isolate t

t/12(12) = 4(12)

t = 48


You’ll receive brainlest if you answer this correctly goes to the first person btw!

Answers

Answer:

139 km

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]50^{2} + 130^{2} = c^{2} \\2500 + 16900 = 19400^{2}\\[/tex]

[tex]\sqrt{19400}[/tex] = 139.28

Round to the nearest whole number = 139

An account earns a simple interest.
700$ at 8% for 6 years
a.Find interest earned
b.find balance of the account.

Answers

Interest is $336

Account balance is $1036 at the end of 6 years

5. Which sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH?​

Answers

Answer:

c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Write down the first 6 multiples of 8 and the formula for the nth term of the sequence.​

Answers

Answer:

8n

Step-by-step explanation:

First 6 multiples of 8 = 8, 16, 24, 32, 40, 48

So the nth term of the multiple of 8 = 8n

For example for the 15th term of 8, 8×15=120

Mitchell deposits $1,200 in an account that pays 4.5% simple interest. He keeps the money in the account for three years without any deposits or withdrawals. How much is in the account after three years?

Answers

Answer:

$1362

Step-by-step explanation:

PLEASE PLEASE PLEASEEEE HELP

Answers

Step-by-step explanation:

Volume

= 1/3 * π* r² * h

= 1/3 * 3.14 * 5² * 5

= 1/3 * 3.14 * 25 * 5

= 130.83 units ³

Hope it will help :)❤

Answer:

V = 130.83

Step-by-step explanation:

The equation for the volume of a cone is:

[tex]V =\frac{ \pi r^2h}{3}[/tex]

we can see that r = 5, and h = 5

we will use 3.14 for the value of pi

so, we just fill in the equation with the values we know and solve :)

[tex]V=\frac{\pi r^2h}{3} \\V=\frac{(3.14) (5)^2(5)}{3}\\V=\frac{(3.14) (25)(5)}{3} \\V=\frac{392.5}{3} \\V= 130.8333 (approx.)[/tex]

the question wants the nearest hundred, so the final answer is

V = 130.83

Factor the GCF.
1) - 15x^5 + 24x^3+ 27x^2

Answers

Answer:

3x^2 if thats what you needed

Step-by-step explanation:

A bicycle factory produces 1505 bicycles in a week . How many bicycles will it produce in 30 days

Answers

Answer:

6450

Step-by-step explanation:

Because 1505 ÷ 7 = 215

The bicycle factory produces 215 bikes in 1 day.

So: 215 • 30 = 6450

Hope this helps!

The answer would be 6450 because 1505/7(days in a week)=215 so 215*30=6450

Hope this helps

Have a great day/night


Adriana baked 42 cookies with 7 scoops of flour. With 8 scoops of flour, how many cookies
can Adriana bake? Solve using unit rates

Answers

Answer:

she can make 48 cookies.

Answer:

48

Step-by-step explanation:

If you divide 42 by 7 you get 6 so thats how many cookies she baked with one scoop. So then you add 6

Need help with geometry pls picture provided

Answers

Answer:

y= 30 x=15

set up your proportions for example 9/6 to y/20 and 9/6 to x/10 and then cross multiply

Help if you see a troll report them

Answers

Answer:

I've seen multiples of trolling going on in brainly, and i could barely report them all.

Step-by-step explanation:

Mrs. Portillo cuts 1 /2 of a piece of construction paper. She uses 1/ 5 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?

Answers

Answer:

1/2 x 1/5 = 1/10.

Step-by-step explanation:

Answer : fraction of the sheet of paper she use to make the flower is 1/10

What’s the measure of ABC ??!?

Answers

Answer:

D; 46 degrees

Step-by-step explanation:

The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Arc AC is the intercepted angle of angle ABC. 92/2=46.

3) Using J =
22
22
7
the circumference of the following circle is:
49 cm
А
110 cm
B
132 cm
C
154 cm
D
176 cm


Answers

Answer:

Diameter = 49

radius = 49/2

circumference of circle is = 2π r

=. 2*22/7*49/2

= 154 cm

hope it helps

Someone help please? its late.

Answers

Answer:

It would be 10 units

you can use the midpoint formula.

Plz answer its so urgent!!!!!!!!!!!!!!!

Answers

Answer:

Option B (the pentagonal pyramid)

Step-by-step explanation:

Given the pentagram, we can see a pentagon in the middle. The pentagonal prism (option A) and pentagonal pyramid (option B) both have bases of a pentagon. However, their nets are different. Only the pentagonal pyramid's net is that of a pentagram. Therefore, option B is correct.

How long is the blue line in inches? Enter your final answer as a simplified mixed fraction.

Answers

Answer:

4 5/8

Step-by-step explanation:

Given function:

ruler measure ( between 4 and 5 )

Find the fraction area:

ok so let see what we know about this..middle of 4 and 5 also seems like in the middle of 4 1/2 to 4 3/4let convert these fraction into a denominator of 8..2/4=4/83/4=6/8find the middle of 4/8 and 6/84/8,5/8,6/8

Therefore, the blue line is 4 5/8 inches long.

ANSWER FAST

True or False:
Women involved in the women's rights reform movement often also supported the abolitionist movement to end slavery.​

Answers

Answer:

true

Step-by-step explanation:

truuuuuusststttt me

3(2x+d)+c(x+5)=10x+17 find c and d

Answers

Answer:

c = 4, d = - 1

Step-by-step explanation:

Expand and simplify left side, then compare coefficients of like terms on the right side, that is

3(2x + d) + c(x + 5) ← distribute parenthesis

6x + 3d + cx + 5c

= x(6 + c) + 3d + 5c

Compare terms with those on the right side

coefficients of x- terms

6 + c = 10 ( subtract 6 from both sides )

c = 4

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

constant terms

3d + 5c = 17, that is

3d + 5(4) = 17

3d + 20 = 17 ( subtract 20 from both sides )

3d = - 3 ( divide both sides by 3 )

d = - 1

The value of c and d if 3(2x+d)+c(x+5)=10x+17  is 4 and -1 respectively

Given the equation:

3(2x+d)+c(x+5)=10x+17

Expand the bracket

6x + 3d + cx + 5c = 10x + 17

Collect the like terms

6x+cx + 3d + 5c = 10x + 17

x(6+c) + 3d + 5c = 10x + 17

Compare the coefficients of x on both sides

x(6+c) = 10x

6+c = 10

c = 10 - 6

c = 4

Similarly:

3d + 5c = 17

3d + 5(4) = 17

3d + 20 = 17

3d = 17 - 20

3d = -3

d =-3/3

d = -1

Hence the value of c and d if 3(2x+d)+c(x+5)=10x+17  is 4 and -1 respectively

Learn more here: https://brainly.com/question/945593

How many lines of symmetry are there in the object pictured below?

Answers

Answer:

There are two lines of symetry.

Answer:B

Step-by-step explanation

its B

Find the lateral surface area of this
cylinder. Round to the nearest tenth.
12cm
3 cm
?] cm2

Answers

lateral surface area of this cylinder is 1584/7 or 226.28...cm square.

The  lateral area of the cylinder is 226.2 cm² .

What is lateral surface area of cylinder?

The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface.

For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder:

A = 2πrh.

According to the question

radius of cylinder = 3 cm

height of cylinder = 12 cm

The lateral area of the cylinder:  

A = 2πrh

A = 2 * [tex]\frac{22}{7}[/tex] * 3 * 12

A = 226.2 cm²

Hence, the  lateral area of the cylinder is 226.2 cm² .

To know more about lateral area of the cylinder here:

https://brainly.com/question/2904887

#SPJ3

I NEED HELP ASAP WORTH 50

Answers

Answer:

10 inches

Step-by-step explanation:

┏┓ OK!

┃┣━┓

┛┣━┃

⠀┣━┃

┓┣━┃

┗┻━┛

I did all the math and got 10 inches

can someone do this for me

Answers

It’s to blur can u maybe take any other pic

The angle measurements in the diagram are represented by the following expressions. A=5x-5 B=3x+13

Answers

Answer:

Step-by-step explanation: 5x-5=3x+13--->   5x-3x=13+5---> 2x=13+5---- 2x=18----> x=9 hope it helps

Answer:

Step-by-step explanation: 40

x(-6) + 19

need help​

Answers

Answer:

-6x + 19

Step-by-step explanation:

perform multiplication first.

Total surface area of a cuboid 0.7

Answers

,

TSA 294000 IS THE TOTAL AREA OF A CUBOID 0.7

pls help me ill try to give brainliest

What is the value of the missing angle in this triangle?

Answers

Answer:

x = 20°

Step-by-step explanation:

by angle sum property of triangle

30 + 130 + x = 180

x = 180 - 160

x = 20°

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

slope is 3/5

Step-by-step explanation:

-10-2/-16-4

12/20

6/10

3/5

maths angles- please help asap

Answers

Answer:

x = 20

Step-by-step explanation:

These angles are same-side supplementary, therefore they add up to 180°.

[tex]4x + 5x = 180 \\ 9x = 180 \\ x = 20[/tex]

Answer:

4x + 5x = 180

because of interior angle

hence, 9x = 180

x = 180/9

x = 20

one angle = 20*4 = 80

another angle = 20*5 = 100

hope it helps

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