Solve the simulataneous equations. 5x-4y=19 x+2y=8

Answers

Answer 1

Answer:

(5, 1.5 )

Step-by-step explanation:

Given the 2 equations

5x - 4y = 19 → (1)

x + 2y = 8 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

2x + 4y = 16 → (3)

Add (1) and (3) term by term to eliminate y

7x + 0 = 35

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 2y = 8 ( subtract 5 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

solution is (5, 1.5 )


Related Questions

Adriana y Luisa fueron a la feria y decidieron subirse a la rueda de la fortuna. Si el diámetro de la rueda es de 8 metros, ¿Qué recorrido hicieron dando una vuelta completa? Considera Pi= 3.14

Answers

Answer:

Translation?

Step-by-step explanation:

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation. Find the altitude of the plane after 5 minutes

Answers

A = 30,000 - 2000m where A=altitude and m = number of minutes

After 5 minutes A ( altitude) = 30,000 - 2000(5) = 20,000 feet

64+66-43x33/89x34/09=

Answers

Answer: -4293764

Step-by-step explanation:

Answer:69,78

Step-by-step explanation: 43*33=1,419

1,419/89=15,94

15,94*34=541,96

541,96/09=60,22

64+66=130

130-60.22=69,78

make t the subject of the formula. s= 8t +5​

Answers

Answer:

So I am assuming that you are wanting what a single t is. Well, here you go.

t=(s-5)/8

Step-by-step explanation:

8t=s-5

t=(s-5)/8

Hope this helps! ;)

what is x? -2.5x- 2=18​

Answers

Answer:

x = -8

Step-by-step explanation:

-2.5x - 2 = 18.

Add 2 to both sides.

-2.5x = 20.

Divide both sides by -2.5.

x = -8

8. Each box in a set of decorative storage boxes is a cube.
a) The sides of the smallest box are 30% of the length of the sides of the largest
box. The volume of the largest box is 7784 cubic inches more than the
volume of the smallest box. Define one or more variables, and write an
equation that represents the situation.
b) What are the lengths of the sides of the largest and smallest boxes?
c) Two of the other boxes have a total volume of 2457 cubic inches. The length
of the sides of the smaller of these boxes is 75% of those of the larger box.
Write and solve an equation to find the lengths of the sides of the boxes.

Answers

Answer:

20 in and 6 in12 in and 9 in

Step-by-step explanation:

a) Let the side of the larger box be x, then the side of the smaller box is 0.3x.

Their volumes are:

x³ and (0.3x)³ = 0.027x³

The difference in volumes:

x³ - 0.027x³ = 77840.973x³ = 7784x³ = 7784/0.973x³ = 8000x = ∛8000x = 20

b) The sides are 20 in and 20*0.3 = 6 in

c) The other two boxes with sides x and 0.75x

Sum of the volumes:

x³ + (0.75x)³ = 2457x³ + 0.421875x³ = 24571.421875x³ = 2457x³ = 2457/1.421875x³ = 1728 x = ∛1728x = 12

Sides of the boxes are 12 in and 12*0.75 = 9 in

The RADIUS of the barrel is 9.5.

What is the circumference of the barrel?

Answers

Answer:

19

Step-by-step explanation:

D=2r

D = 2(9.5)

   = 19

What is the probability that a student who plays an instrument is in band

Answers

Answer:

20/25

Step-by-step explanation:

Here, we want to calculate the probability that a student who plays an instrument is in band

The number of students who play instruments are;

25

Amongst this,

20 are in a band

So the probability of having a student who plays instrument and is in a band will be;

20/25 = 4/5

please help me what would the angle be subtracting them

Answers

Answer:

r=8

the angle measurement is 95.

Step-by-step explanation:

Well, those angles would be the same, so you set them equal to each other.

95=6r+47

then solve it.

6r=48

r=8

Area of B patios a.74.42. B.37.21. C.144

Answers

○=> Correct option :[tex]\color{hotpink}\tt\bold{(a)\ \: 74.42}[/tex]○=> Steps to derive correct option :

Length of side of patio A = 12 yards

Area of patio A which is a square :

[tex] =\tt side \times side[/tex]

[tex] =\tt 12 \times 12[/tex]

[tex]\color{plum} = \tt144 \: {yards}^{2} [/tex]

Thus, Area of patio A = 144 yards²

Length of side of patio B = 6.1 yards

Area of patio B which is a square :

[tex] =\tt side \times side[/tex]

[tex] = \tt6.1 \times 6.1[/tex]

[tex]\color{plum} = \tt37.21 \: {yards}^{2} [/tex]

Length of side of the second patio B = 6.1 yards

Area of this patio :

[tex] =\tt 6.1 \times 6.1[/tex]

[tex]\color{plum} = \tt37.21 \: yards[/tex]

Total area of Patio B :

= Area of first patio B + Area of second patio B

[tex] =\tt 37.21 + 37.21[/tex]

[tex]\color{plum} = \tt74.42 \: {yards}^{2} [/tex]

Thus :

▪︎Area of patio A = 144 yards²

▪︎Area of patio B = 74.42 yards²

▪︎Therefore, the correct option is (a) 74.42

Use the grid below to name the point at (4,3)

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In the point (4,3), the 4 is x and 3 is y. The x-axis is the bottom line so go up 4 and the vertical line is the y-axis so go right 3. The point where they meet is B.

Hope it helps!

Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?

Answers

Answer:

Survey 100 residents who have pets completely randomly

Step-by-step explanation:

The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.

There are 10 coins on a table heads side up. Noah wants them all to be tails side up, but with each move, he must turn over exactly
6 coins. What is the fewest moves he can take so that he ends up with all of the coins tails side up?

Answers

Answer:

2 moves

Step-by-step explanation:

2 moves ok?!?! Dhsgbcc

there are 63 boys in sixth grade. the number of girls in the sixth grade is 56. Shelby says that means the ratio of the number of boys to the number of girls in sixth grade is 9:7. is Shelby correct. use a tape diagram, to support your answer.

Answers

Answer:

Yes, Shelby is correct.

Step-by-step explanation:

Basically, if you divide 63 by 9 you get 7, and if you divide 56 by 7 you get eight, so yah.

When Mr. Day's family moved to town, the rented a house fo $215 a moth. The land lord recently increased the rent by $8.50 a month. What is the percent of increase in rent? Round to the nearest Hundredth of a percent.

Answers

32 percent is the answer obviously

1 What number is equivalent to the expanded form shown below?
A.203.043
B.203.403
C.230.430
D.230.403
Can someone help me with this

Answers

Answer

B

203.403

Cancel terms that are in both the numerator and denominator

( 2 1 0 0 ) + ( 3 1 ) + ( 4 1/1 0 ) + ( 3 1/1 0 0 0 )

( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )

Solution

( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )

A train traveled 1/4 of the distance between two cities in 2/3 of an hour. at this rate, what fraction of the distance can the train travel in one hour

Answers

Answer:   3/8

====================================================

Explanation:

A = fraction of the distance traveled in 2/3 of an hourB = time value that pairs up with AC = fraction of the distance traveled in 1 hourD = time value that pairs with C

In this case,

A = 1/4B = 2/3C = unknownD = 1

We can set up the proportion

A/B = C/D

Which cross multiplies to

A*D = B*C

Let's plug in the known values and solve for C

A*D = B*C

(1/4)*(1) = (2/3)*C

1/4 = (2/3)*C

(2/3)*C = 1/4

3*(2/3)*C = 3*(1/4) ..... multiply both sides by 3

2C = 3/4

(1/2)*2C = (1/2)*(3/4) .... multiply both sides by 1/2

C = (1*3)/(2*4)

C = 3/8

The train travels 3/8 of the distance in 1 hour.

what is the simplest form of 874/942

Answers

Answer:

437/471

Step-by-step explanation:

would consider downloading photomath

A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is tails?

Answers

Answer:

'5,3$492

Step-by-step explanation:

649`~_fs?.©α€~_a sv zbs svsh

Mike is recording his baby sister's weight in pounds and ounces each week. This week she weighs 10 pounds. How many ounces does she weigh?

Answers

Answer:

160 ounces

Step-by-step explanation:

In each pound, there are 16 ounces.

Therefore we can do 10*16=160

Answer: she weighs 160 ounces. just do 10x16

what value of x makes the equation 6x - 10 = -10 true

a -3 1/3
b 0
c 5
d 8 1/3

Answers

the value of x that makes the equation true is b(0)

If departure time of a train is 03 45 and arrival time is 04 50. What will be the journey time? * A)1 h 20 min B)1 h 10 min C)1 h 05 min

Answers

Answer:

C)1 h 05 min

Step-by-step explanation:

If departure time of a train is 03 45 and arrival time is 04 50. What will be the journey time? * A)1 h 20 min B)1 h 10 min C)1 h 05 min

The journey time is calculated as:

Arrival time - Departure time

= 04:50 - 03:45

= 01:05

Therefore, the journey time = 1 hr 05 minutes

Option C is correct

1/4(12)^2=
what is the answer?

Answers

Answer:

36

Step-by-step explanation:

I hope this helps! have a good day / night:)

Answer:

36

Step-by-step explanation:

1/4*12²

= 1/4*12*12

= 36

Which sets of side lengths could from a triangle?
choose all that apply.​

Answers

Answer:

E

Step-by-step explanation:

Answer:

d and e

Step-by-step explanation:

for them to be possible side lengths of a triangle the two shorter sides added together have to be greater than the longest side and an answer D and e 6 + 4 is greater than 9 and 5 + 5 is greater than 9 to so those are possible side lengths

50 to 60 as a fraction in simplest form

Answers

Answer:

5/6

Step-by-step explanation:

50/60 in simplest form is 5/6

You would divide both sides by 10

The simplified expression of the expression 50 to 60 is 5/6

How to simplify the expression

From the question, we have the following parameters that can be used in our computation:

50 to 60

Express as equation

50 to 60 = 50/60

Divide 50 by 60

So, we have the following representation

50 to 60 = 5/6

Using the above as a guide, we have the following:

The expression cannot be further simplified

Hence, the simplified expression is 5/6

Read more about expressions at

brainly.com/question/30492964

#SPJ6

QUESTION 5
Find the slope of the line through each pair of points.
Type your answer as a fraction.
(-2, 6), (10, -5)

Answers

Answer:

m= -11/12

Step-by-step explanation:

Answer:

-11 / 12

Step-by-step explanation:

Slope = Rise / Run

Slope = y2 - y1 / x2 - x1

Slope = -5 - 6 / 10 - -2

Slope = -11 / 12

Help pls due today ty

Answers

Step-by-step explanation:

Function A

b= 2.5

5= 1.5m+ 2.5

1.5m= 2.5

m= 1.667

m= 5/3

y= 1.667 x+2.5

.........

Blank 1 : 1.667 or (5/3)

Blank 2: -4.5

rate of change can be positive or negative

Blank 3: Function B

someone please help i will mark you brainliest​

Answers

f (x) = (x-1) (x+3)..........................................less the periods

Can someone help me?

Answers

Answer:

the transfer of energy ( I think)

Sound wave

Transverse wave

I'm sorry if I got it wrong...

can someone help me find the slopes for all three problems this was due two days ago
:(

Two of the three representations have lines with the same slope. What is that slope?

Answers

Answer:

Step-by-step explanation:

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