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

round 6,577 the nearest thousand

Answers

Answer: 7,000

Step-by-step explanation: the hundred was greater than 5 so we round up any number after whatever you are doing if it’s 5 or greater you round up

Planet Fitness gym charges $15 per month plus $50 for a membership. Total
Fitness gym charges $25 per month and no membership fee. After how many months
would the total cost be the same for both gyms?

Answers

Answer:

planet fitness will take one month and total fitness will take 3 months

Step-by-step explanation:

planet fitness:

75

total fitness:

25

50

75

M is directly proportional to R cubed a)R = 4, M = 160 find M when R = 2 b) work out the value of R when M=540

Answers

Answer:

a k (proportionality constant) = 2.5

b. r = 6

Step-by-step explanation:

Here, we want to solve a variation

m = k * r^3

160 = k * 4^3

160 = 64k

k = 160/64

k = 2.5

b) secondly;

From;

540 = 2.5 * r^3

r^3 = 216

r = cube root of 216

r = 6

The bus fare for 8 passesngers is Rs. 384, how many more passengers can travel in the bus if the bus fare amounts to Rs. 576?​

Answers

Answer:

12 passengers so four more can travel in the bus.

Step-by-step explanation:

384/8= rs 48 per person.

amount= 576

576/48 = 12 passengers.

Step-by-step explanation:

here

8 passengers=Rs. 384

1 passenger= Rs. 384/8

=Rs. 48

Rs. 576= ? passengers

now,

Rs. 576/ 48

= 12passengers

12 passengers - 8 passengers

= 4 passengers

therefore, 4 more passengers can travel in the bus fare amount to Rs. 576.

Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

£1999.85

Step-by-step explanation:

A = P(1 + rt)

Where:

A = Amount after t years

P = Initial amount invested = £1850

r = Interest rate = 2.7%

t = Time in years = 3 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.7%/100 = 0.027 per year.

Solving our equation:

A = £1850(1 + (0.027 × 3))

A = £1999.85

Therefore, Brian will have £1999.85 after 3 years.

help its ratios please ty no guessing

Answers

Answer:

4:3

Step-by-step explanation:

4 pennies

3 quarters

Answer:

4:3

Step-by-step explanation:

that’s the problem and the answer i just need to know how to show the work. pls help me

Answers

9514 1404 393

Explanation:

The work can be done in your head, so there's really nothing to show.

If you want to go into painful detail, you can do this ...

  [tex](2\sqrt{3x})(3\sqrt{6x^2})=(2\sqrt{3x})(3x\sqrt{6})=6x\sqrt{3\cdot6x}\\\\=6x\sqrt{3^2\cdot2x}=6x\cdot3\sqrt{2x}=\boxed{18x\sqrt{2x}}[/tex]

There may be some other intermediate steps you can show, or you can combine steps to the extent you think is appropriate.

use the distance formula to find the distance between the two points (-3, 3) and (2, 2) give the exact length (leave in radical form if it is not a perfect square). but please show your work so i can understand. its ok if u cant show ur work tho thank you!

Answers

Answer:

[tex]\sqrt{26}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (2, 2)

d = [tex]\sqrt{(2+3)^2+(2-3)^2}[/tex]

   = [tex]\sqrt{5^2+(-1)^2}[/tex]

   = [tex]\sqrt{25+1}[/tex]

    = [tex]\sqrt{26}[/tex]

find the area of the figure will give brain illest if correct! ​

Answers

I’m sure that the area is 80. If you do 10 times 5, that will be 50.Then if you do 6 times 5, for the upper remaining part of the figure it would be 30. So 30 plus 50 is 50. Hope this helps!

Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.

Answers

Answer:

[tex]1\%[/tex]

Step-by-step explanation:

Simple interest (I) = $160

Principal amount (P) = $2000

Time period (t) = 8 months

Let R denotes rate of interest.

Relation between simple interest, principal amount, time and rate of interest  is given by [tex]I=\frac{PRT}{100}[/tex]

[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]

Answer:

12

Step-by-step explanation:

It would be: r = I * 100 / P * R

r = 160.67 * 100 / 2000 * 2/3

r = 16067*3 / 4000

r = 48201 / 4000

r = 12

A box has a height of 5 cm a Length
os 6 cm and a width of 2 cm
What is its volumes​

Answers

The box has a volume of 5x6x2=60cm^3


5
An atom silicon is approximately 0.00000000067 Imeters wide. How do you express that number in scientific notation?
A 6.7 x 1010
meters
B 67 x 10-10
meters
© 6.7 x 10-10 meters
11
D 6.7 x 10
meters

Answers

A hhhhhhhhhhnjjjjnnnnnjjkkk

A 1,300 kg car moving at 20 m/s and a 900 kg car moving at 15 m/a in precisely opposite directions crash head on. If we consider this event to be a perfectly inelastic collision, what is the speed of the cars after the impact?

Answers

Answer:

17.96m/s

Step-by-step explanation:

Based on law of conservation of momentum;

m1u1 +m2u2 =(m1+m2)v

v is the velocities of the car after impact

Substitute the given values

1300(20)+900(15) = (1300+900)v

26000 + 13500 = 2200v

39500 = 2200v

v = 39500/2200

v = 17.96m/s

Hence the speed of the cars after impact is 17.96m/s

It would be very nice if you could evaluate the expression for ya homie


-63/(-7)+6

Answers

Answer: =15

Step-by-step explanation: Hope this help :)

-63/-7+6

=63/7+6/1

=9/1+6/1

=9+6/1

=15

As an assistant in pet store, one of your responsibilities is to fill the aquariums with water. One 50-gallon aquarium is 36 inches long and 16 inches wide, and is filled to a depth of 20 inches. To the nearest whole number of cubic inches, how much water do you need to fill the aquarium to that depth?

Answers

Answer:

Eleven thousand five hundred and twenty

Step-by-step explanation:

E2021

Help!!!!!!!!!!!!!!!!!!!! Pleaseee
I will mark you Brianliest!!!!!!!
I need and answer choice
NO random things being type like example>
djksdfjrghbfdfddk45t
I don't need that i need and actual answer please

Answers

Answer:

A. The perimeter of the third triangle will be equal to the perimeter of the second triangle because the lengths of line segments are preserved during translations.

Step-by-step explanation:

When a shape is translated, it simply means it is moved. Nothing about it is being changed besides the location. Therefore, it will have the same perimeter because its sides are the exact same.

I hope this helps! ☺

The answer will be (A) have a wonderful day!

1. What is the circumference of a tire with a diameter of 12 inches?

A36
B48
C24
D6
2. What is the radius of a circle with a diameter of 20 inches?

A10
B60
C30
D40
3. What is the circumference of a circle with a radius of 12?

A24
B72
C6
D36
4. What is the circumference of a circle with a radius of 7 feet?

A28
B42
C14
D3.5
5. What is the radius of a circle with a diameter of 36 inches?

A6
B18
C12
D16
6. What is the circumference of a circle with a diameter of 30 centimeters?

A60
B90
C50
D15
7. Is the diameter of a tire less than, greater than, or equal to its circumference?

Aequal
Bnot enough information
Cless than
Dgreater than
8. What is the diameter of a tire with a radius of 11 inches?

A22
B33
C5.5
D121
9. Your favorite CD has a radius of 9 centimeters. What is the circumference of the CD?

A18
B4.5
C27
D54
10. Which is true about the radius and diameter?

AThe radius and diameter can sometimes be equal.
BThe diameter is two times the size of the radius.
CThe diameter is half the size of the radius.
DThe radius is two times the size of the diameter.

Answers

Answer:

1) A. 36

2) A. 10

3) B. 72

4) B. 42

5) A. 6

6) B. 90

7) C. less than

8) A. 22

9) D. 54

10) B. The diameter is two times the size of the radius.

Step-by-step explanation:

1) 12 x 3.14 = 36

2) 20/2 = 10

3) 12 x 2 x 3.14 = 72

4) 7 x 2 x 3.14 = 42

5) 36/3.14 = 12/2 = 6

6) 30 x 3.14 - 90

8) 11 x 2  =22

9) 9 x 2 x 3.14 = 54

The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.

what can you conclude about the rain and the students commute on the bus and train?​

Answers

Let A= probability it rains
P(A)=0.2
Let B be the probability that the train is late = 0.05
P(B)=0.05
A and B is A∩B= the probability it rains and the bus is late =0.01
probability pf (A and B)=0.01
7) independent events are related by expression:
A∩B=P(A)*P(B)
=0.2*0.05=0.01
check :
p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2
the two event are independent

Please help . Write 405 in scientific notation 405

Answers

Answer:

4.05 x 10^2

Step-by-step explanation:

Please mark brainiest

and give 5 stars

Thanks

Box the greatest decimal and encircle the least decimal in each number.

1. 3.49 3.498 3.149 3.4

2. 333.5 333.56 33.356 3.987

3. 8.047 80.47 804.7 0.8047

4. 700.08 700.088 700.008

5. 0.123 0.457 0.127 0.0678​

Answers

Answer:

From greatest to least

1) 3.498 3.49 3.4 3.149

2) 333.56 333.5 33.356 3.987

3) 804.7 80.47 8.047 0.8047

4) 700.088 700.08 700.008

5) 0.457 0.127 0.123 0.0678

Step-by-step explanation:

Explaining just 1st and 4th

1.

The number 3.498 is bigger than 3.49 because it's basically this number 3.490

The same thing happens in 2nd and 3rd number 3.49 > 3.40

And the last number I think I don't have to explain :-)

4.

700.088 is bigger because 700.08 is smaller

700.080

If you have any questions contact me on amino Ayleena

If the scale factor is 5/3 what is the width of the new rectangle?

Answers

Answer:

If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Which number line shows the solution to the inequality 3x + 6 > 9?
-4-2 0 2 4
-4-2 0 2 4
-4-2 0 2 4
-4-2 0 2 4

Answers

Answer:

its number 3

Step-by-step explanation:

Work out the size of angle x.
105°
to

Answers

Answer:

105

Step-by-step explanation:

cuz it is corresponding angle

Brenda has 14 fewer apps than Caleb. If Caleb deleted 5 apps, then he would have twice as many as Brenda. How many apps do Brenda and
Caleb have together?

Answers

Answer:

42

Step-by-step explanation:

Because Brenda has 14 fewer apps and he deleted 5 apps and he now has twice as many as brenda so 14 + 14 =28 so he had 33 before but remember 33- 5 + 28 so 14 + 28 + 42

If you are going 250 miles somewhere and it cost 75 cents per mile how much money is that

Answers

Answer:

$187.50

Step-by-step explanation:

Set up an equation

250 m/$x = 1 m/$0.75

Cross multiply

250 miles × $0.75 = 1x

$187.50 = x

Plz help i will give

Answers

Answer:

The equation to be used is 4/8 × 8/12=1/3

For problem 5, use the ordered pairs to answer the following question. MUST SHOW YOUR WORK FOR FINDING SLOPE.

Answers

They will not intersect (I hope this helped)

Solve each question
A.p+12=17
B. 7/3=q+2/3
C. 90=20r
D. 1/3s=7

Answers

Answer:

.

Step-by-step explanation:

A. p:17-12=5

B. q=7/3-2/3=5/3

C. r=90÷ 20=4.5

D. s=7÷1/3=7x 3/1 =21

someone please help me with this problem

Answers

Answer:

x=45

y=135

z=45

1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet

Answers

Answer:

80 square feet

Step-by-step explanation:

I hope this helps a little bit.

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