Write two solutions for the following equation 2x+3y=24.

Answers

Answer 1

Answer: (12, 0) and (0, 8)

Step-by-step explanation:

This equation is in standard form. We can sub in a number for x to solve for y and vice versa.

Let's sub in 0 for x.

[tex]2x+3y=24\\2(0)+3y=24\\3y=24\\\frac{3y}{3} =\frac{24}{3} \\y=8[/tex]

When x is 0 y is 8 giving us the coordinate (0, 8).

Now lets sub in 0 for y

[tex]2x+3(0)=24\\2x=24\\\frac{2x}{2} =\frac{24}{2} \\x=12[/tex]

When y is 0 x is 12 giving us the coordinate (12, 0)

Answer 2

Step-by-step explanation:

Begin by solving for y

3y = -2x + 24 divide by 3

y =-(2/3)x + 24

Choose x so that it is divisible by 3

Let x = 6 which 3 can divide into evenly

y = -(2/3)*6 + 24 3 into 6 is 2 so you are left with

y = - 2 * 2 + 24

y = - 4 +24

y = 20

By a similar mthed, let x = 15

y = -2/3 x + 24

y = -2/3 * 15 +24

y = -2 * 5 + 24

y = -10 + 24

y = 14

So your two solutions are

(6,20)

(15,14)


Related Questions

Which expression represents the greatest value?

Answers

Answer:

"-2" is the same in all expressions, and it's just plus or minus. so let's ignore the "-2" and look only at the rest

+1 is the greatest then

so -2+1 is the greatest

Need it fastttttt plssss I will give brainly ​

Answers

Answer:

385

Step-by-step explanation:

(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)

=3/4-7/24+14/5

=90/120 - 35/120 + 840/120

=46200/120

=385

Hope this helps!

Hydro Sunday in a right triangle the sum of the squares of the leg length is equal to the square of the high-profile tenseness length

Answers

Answer: hello your question is vague hence i will provide a more general answer

Area of a right angled triangle = 1/2 * b * h

Step-by-step explanation:

For a right- angled triangle; the sum of squares of the opposite and adjacent sides = square of the longest side ( i.e. hypothenuse )

hence the Area of a right angled triangle = 1/2 * b * h

where : b = adjacent , h = opposite side

So I am rolling a standard dice once. Is rolling 3 or 4 mutually exclusive events? Please help me understand this.

Answers

I would say yes only because out of 6 numbers you roll 2 that are right before or after eachother same as 1,2 or 2,3 or any numbers close to eachother in this case 3,4

Which of the following regression equations best fits the data shown below?

Answers

Answer:

the answer is A

Step-by-step explanation:

sorry if im worng

Which ordered pair is a solution of the equation y = -7x + 2
A. (1,2)
B. (8, -54)
C. (5, -35)
D. (1, -7)

Answers

Answer:

B. (8, -54)

Step-by-step explanation:

y = -7x + 2

Check to see if the point makes the equation true

A. (1,2)  2 = -7(1)+2 = -7+2 = 5   False

B. (8, -54) -54 = -7(8)+2 = -56+2 = -54  True

C. (5, -35)  -35 = -7(5) +2 = -35+2 = -33 False

D. (1, -7)  -7 =-7(1)+2 = --7+2 = -5  False

In a class test.containing 15 questions 4 marks are given for every correct answer and -2 marks are given for every wrong answer james attempt all the question but only 9 of his answers correct .What is his total score

Answers

Answer:

48

Step-by-step explanation:

(9*4) + (6*2)

36 + 12

= 48

Step-by-step explanation:

no:questions=15

correct questions =9

marks for correct answers =9×4=36

incorrect answers=6

marks for incorrect answers =(-2)×6=(-12)

full marks =36 - (-12)

=36 + 12

=48

Is this statement true or false?
A down payment is paid before you begin monthly payments.
true
false

Answers

Answer:

True

Step-by-step explanation:

A down payment is mostly for deposit reasons with insurance. It also let's the landlord know you will be moving in soon. They will use that money for repairs when you move out. You have a chance of getting it pack if they find no damages :D

The answer is True!!!!!!!

A planet has a circular orbit around a star. It is a distance of 98,000,000 km from the centre of the star. It orbits at an average speed of 45,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.

Answers

Answer:

91 days

Step-by-step explanation:

Given that,

A planet is at a distance of 98,000,000 km from the centre of the star.

It orbits at an average speed of 45,000 km/h.

The speed of an object is given by the distance covered divided by the time taken. So,

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{98,000,000}{45,000}\\\\t= $$2177.77\ h[/tex]

or

t = 90.74 days ≅ 91 days

So, the planet take 91 days to orbit the star.

What is the domain of y= log 5x

Answers

Answer:

all positive real numbers, (0, ∞)

Step-by-step explanation:

The log function is not defined for 0 or for negative numbers.

The domain of the log function is all positive real numbers.

Answer: all positive real numbers

Which angles are supplementary? You can just give 1 example so I get the idea

Answers

Answer

supplementary angles sum to 180

1 & 2

1 & 4

1 & 8

1 & 6

2 & 3

2 & 7

2 & 5

3 & 4

3 & 8

3 & 6

4 & 5

4 & 7

5 & 6

5 & 8

6 & 7

8 & 7

If QR = 8 and PR = 14, what is PQ? Write your answer as a decimal or integer.​

Answers

The answer is C
I just took the text

Can anyone help me out

Answers

Answer:

12k^5 +24k⁴+30k³

Step-by-step explanation:

the area = 6k³(2k²+4k+5)

= 12k^5 +24k⁴+30k³

Which could be the resulting equation when elimination is used to solve the given system of equations ?

Answers

Answer:

10·b = 60

Step-by-step explanation:

The given system of equation is presented as follows;

5·a + 5·b = 25...(1)

-5·a + 5·b = 35...(2)

Given that the coefficient of a in equation (1) is equal in magnitude but opposite in sign to the coefficient of 'a' in equation (2), to eliminate the variable 'a' when using the elimination method, we add both equations as follows;

5·a + 5·b + (-5·a + 5·b) = 25 + 35 = 60

5·a - 5·a + 5·b + 5·b = 60

5·a - 5·a = 0

5·b + 5·b = 10·b

∴ 5·a - 5·a + 5·b + 5·b = 60 = 0 + 10·b = 10·b

∴ 10·b = 60

i needs help plzzzzzzzz​

Answers

pyramid = 9x8x9

rectangle = 7x8x9

total = (pyramid+ rectangle)

length x wide x hight

38 is the answer I did it on edge

Please help, how do you write 4.06 in word form and expanded form?

Answers

Answer:

four and six one hundredths

406/100

4.06 = (4 x 1) + (0/10) + (6/100)

Help








Will





Give





Brainlist




Answer

Answers

Answer:

[tex]\frac{7}{4.1}[/tex]

Step-by-step explanation:

the word ''to'' means over

Number 2 is the correct answer

Please help I’ll give brainliest

Answers

Answer:

The answer is 9².

Step-by-step explanation:

9⁵ = 59049

9³ = 125

59049 ÷ 125 (9⁵ ÷ 9³) = 81

9² (9 × 9) = 81

Cuantos nanómetros soporta el cuerpo

Answers

Step-by-step explanation:

1 mn diameter self assembled

nature inspired structure

What is the gradient of the blue line

Answers

Answer:

1/4

Step-by-step explanation:

1) Find two points of the line

(4,2)  and (8,3)

Gradient = (y2 - y1)/(x2-x1)

(3-2)/(8-4) = 1/4

The value of the square root of 42

Answers

[tex]\sqrt{42} =6.480740698/\sqrt{42}[/tex]

Answer:

6.4807 Step-by-step explanation:

The square root of 42 is 6.4807.

Write the equation of the line that contains the points (-2,5) and (6,9).

Answers

Answer: y=2/4x+6

I think it´s right sorry if it is´nt

PQR is a triangle. PR = 13 cm, PQ = 12 cm and angle QPR = 30°
Calculate the length of QR.

Answers

Answer:

6.55 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:

c² = a² + b² - 2ab*cos(C)

Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:

QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)

QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270

QR² = 43

QR = 6.55 cm

Hence, determine the length of AB. (Correct to TWO decimal places).​

Answers

Answer:

sorry also maybe a diagram would have helped

Solve for w. Show your work! 5w + 16 - 9 - 8w = 19


I'll give brainly

Answers

5w+16-9-8w=19
-3w+7= -7
-3w=12
W=-4

Please help me!! Perimeter: about ______ ft squared
Area: about ________ ft squared

Answers

Answer:

55.1 ft ; 236.7 ft^2

Step-by-step explanation:

radius = 7.5 ft

Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft

Perimeter of the rectangle = 4 * 2 = 8 ft

Total perimeter = 55,12389 ft

Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2

Area of the rectangle = 4 * 15 = 60 ft^2

Total area = 236,714587 ft^2

i need help asap Please ​

Answers

Answer: F. is a linear relation.

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Equation of the eventual line:

(y-4)/(5-4) = x

y-4 = x

y = x + 4

this equation can’t be used to determine the last three values. In fact, for examples:

7 = 2 + 4

7 = 6 (false)

So the relation is non linear

Geometric stuff and please explain

Answers

Perimeter = Sum of the sides measures

Perimeter = | AB | + | AT | + | BT |

Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )

40 = x + 4x + 2x + 3 + 2

Colect like terms

40 = ( 1 + 4 + 2 )x + ( 3 + 2 )

40 = 7x + 5

Subtract both sides - 5

40 - 5 = 7x + 5 - 5

35 = 7x

Switch sides

7x = 35

Divide both sides by 7

7x ÷ 7 = 35 ÷ 7

x = 5

_____________________________

AB = x + 3 = 5 + 3 ======》 AB = 8

AT = 4x = 4 × 5 =========》 AT = 20

BT = 2x + 2 = 2(5) + 2 ===》 BT = 12

According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :

AB + AT > BT

&

AB + BT > AT

&

AT + BT > AB

If the sides is true in the above inequalities, then those sides are able to form a triangle ;

But if even one of the above inequalities is violated, those sides will not be able to form a triangle.

8 + 20 > 12 ( Check )

8 + 12 > 20 ( Nope this inequlity violated )

Thus the measures of the sides can not represent the measures of the sides of a triangle .

And we're done ...

Suppose y varies directly with x, and y = 13 when x = 39. What direct variation equation relates x and y?

Answers

Answer:

y = 1/3 x

Step-by-step explanation:

y = kx

13 = k 39

k = 13/39

k = 1/3

y = 1/3 x

Anyone know the answer to this please?

Answers

Answer:

140 degrees

Step-by-step explanation:

The center angle of a semi circumference is 180 degrees

BC 180 - 20 - 20 = 180 - 40 = 140 degrees

Answer is :
140 degrees


Because I said so
Other Questions
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 108 disks are summarized as follows: Shock Resistance Scratch Resistance High Low High 55 10 Low 13 30 Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. P(A)=86/100P(B)=79/100P(A')=7/50P(A U B)=95/100P(A' U B)= ??? ethan invests 500 in the bank for 2 years he earned 40 simple interest HIV and AIDS represent one of the most serious health issues facing the world today.True or false What is the vertex of the graph of the function below? y= x2 - 4x + 3 A. (2.-1) B. (1,-1) C. (1,0) D. (2,0) The prices of property in big cities may deter people on low incomes from owning a house there As a result of French and Indian WarA.Spanish settlement could expand throughout Florida.B.French settlement could expand east of the Mississippi River.C.American Indian settlement could expand eastward.D.American colonial settlement could expand westward. please answer this!!!! Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand. Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand. is x = 3 a function or not a function ?! 20 circular plates each of radius 7 cm and thickness 1.5 CM are placed one above the other find the volume of the solid so formed Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7 Anyone know this answer? Over 600 workers were made _______ redundant. (compulsory) b to the power of -3write that as a positive exponentexplain what number can be add to [tex] {9x}^{2} + 24x[/tex]to make it a perfect square the mathematical model y= 2/x is an example of what variation? Joint variation, inverse variation, indirect variation, linear variation, or direct variation? She has been having a difficult time with her health; be a little lenient with her. what is the idiom for this sentence? What is the the Valley of Ashes?* Which ordered pair (x,y) satisfies the inequality? 12. Organelles allow eukaryotic cells to carry out more functions than prokaryotic cells. True or false? Keeping records of employment training is important if your establishment ever needs to provide proof of training in court.FalseTrue