How many solutions does the following system of equations have?
{4x + 6y = 24
2x + 3y = 12

Answers

Answer 1

Answer:

Infinitely many solutions

Step-by-step explanation:

Note that 2(2x+3y=12) is 4x+6y=24, which is the first equation. Therefore, by canceling the equations out, you have 0=0, which means whatever one side equals, the other side ALWAYS equals that.


Related Questions

Calculate the value of x and state the geometric relationship

Answers

They are same side interior angles and same side interior angles are supplementary (add up to 180 degrees).
So, 6x+12+4x+18=180
Combine like terms:
10x+30=180
Subtract 30 from both sides:
10x=150
Divide both sides by 10:
x=15.

Therefore, the angles are same-side interior angles and x=15.

Tiffany is filling her daughter's pool with water from a hose. She can fill the pool at a rate of 1/10 gallons per second.

Create at least three equivalent ratios that are associated with the rate. Use a double number line to show your work.

Answers

At first I assumed you were asking for 3 different ratios equivalent to 1/10, which could be 2/20, 10/100, or 5/50. But it seems you are asking for ratios equivalent to 1/10 gallons to second. For this, you could change both the 'gallons' and the 'seconds' to get different unit with the same ratio. 1/10 gallon / second * 60 seconds / 1 minute gallons / minute 1/10 gallon / second * 1 gallon / 4 quarts = 1/40 quarts / second combining these two conversions we can do 1/10 gallon / second * 60 second / 1 minute * 1 gallon / 4 quarts = 3/2% 3D

Final answer: 1/10 gallons / second = 6 gallons / minute = 1/40% 3D quarts / second = 3/2 quarts / minute Hope I helped :)

The three equivalent ratios are 6/1 gallons/minute, 1/40 quarts/second and 360/1 gallons/hour.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Tiffany can fill the pool at a rate of 1/10 gallons per second.

Equivalent ratios are the ratios that are the same when we compare them.

We know that, 60 seconds =1 minute

1/10 × 60 = 6 gallons/minute

1 gallon = 4 quarts

1/10 = 1/10×4 = 1/40 quarts/second

1 hour =60 minute

So, 6 gallons/minute =6×60

= 360 gallons/hour

Here, 6 gallons/minute = 1/40 quarts/second = 360 gallons/hour

Therefore, the three equivalent ratios are 6/1 gallons/minute, 1/40 quarts/second and 360/1 gallons/hour.

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The types Flowers on the table make up an arrangement. What percent of the flowers in the arrangement her roses

Answers

Answer:

60%

Step-by-step explanation:

You could make a fraction to help solve for the answer. The denominator is 25 because you add 4 + 15 + 6. The numerator is 15, because it is the number of roses. 15/25 as a percent is 60% because you just times both the numerator and denominator by 4.

which strategy would not solve the rational equation?

Answers

Answer:

This may occur when you decide to determine a function as well as a graph.

Step-by-step explanation:

Hope this helps! :D

PLEASE HELP ASAP I WILL GIVE U A LOT OF POINTS AND BRAINLIEST :D

Answers

1.46 x 10^10 if I believe right
#1

Multiply to get the answer:

4×10⁷ * 3.65×10² = (4*3.65)×10⁷⁺² = 14.6×10⁹ = 1.46×10¹⁰ krill#2

Convert to scientific notation and find the ratio of the second number by the first:

26000000000 = 2.6×10¹⁰

Divide:

4.94×10¹³ ÷ 2.6×10¹⁰ = (4.94/2.6)×10¹³⁻¹⁰ = 1.9×10³ = 1900 times

what is the value of Y

Answers

Answer:

y = 150º

Step-by-step explanation:

The sum of internal angles of a triangle must be 180º and the sum of y + (x-20) forms a straight line which is also 180º, so:

2x + x + (x - 20) = 180

4x - 20 = 180

4x = 200

x = 50

x - 20 = 50 - 20

x - 20 = 30

y = 180 - 30

y = 150º

Will give brainliest to the correct answer
Write each function in slope-intercept form
:9.4y=−8x−10
10. −5x+ 2y=−10

Answers

Step-by-step explanation:

9) y= -2x - (5/2)

10) y = -5 + (5/2)

How much will you pay in all for the $78 lunch bill with a 15% tip ?

Answers

→ You will pay $ 89.7.

The tip value is based on the bill value. Hence, to find the total payment you have to multiply 78 by 1.15 (this includes the tip, 1.15).

[tex]\Large \text {$Total = 78 \times 1.15 = 89.7 $}[/tex]

Or you can first find how many 15% is from $78:

[tex]\Large \text {$0.15 \times 78 = 11.7$}[/tex]

And then add this to $78:

[tex]\Large \text {$78 +11.7 = 89.7$}[/tex]

→ See more on:

https://brainly.com/question/12901165

Answer:

$89.70

Step-by-step explanation:

15/100=0.15

78 * 0.15 =89.70

please help me to solve problems ​

Answers

Step-by-step explanation:

4a)

the principle of similar triangles : they have the same angles.

and we do not forget : the sum of all angles in a triangle is always 180 degrees.

a = 180 - 65 - 45 = 70 degrees

b = 65 degrees

c = 70 degrees

b)

same principles.

x = 58 degrees

y = 52 degrees

z = 180 - 58 - 52 = 70 degrees

c)

same principles.

plus the fact that complementary angles around a point on one side of a line are also together 180 degrees.

x = 85 degrees

y = 180 - 40 - 85 = 55 degrees

z = 180 - 85 = 95 degrees

d)

again same principles.

y = 2x (as these 2 angles correspond to each other among the 2 similar triangles).

the angle POQ is again complementary with 87 degrees,

POQ = 180 - 87 = 93 degrees

x + y + 93 = x + 2x + 93 = 180

3x = 87

x = 29 degrees

y = 2x = 2×29 = 58 degrees

{[(3x+8)+6(2.5x-3)]}

Answers

Answer: The answer is 18x + 26

Step-by-step explanation:

What I did was simplify the Expression of (3x+8)+6(2.5x-3) then combine the terms and last evaluate the Expression.

Find the perimeter of the regular polygon 7x+4 5(x + 2) - 1​

Answers

Answer:

x= 3/7 i.d.k if this is correct I did it in my brain

How many milligrams are in a 2 tsp dose of liquid medication if there are 2.5 g in 2 fl oz?​

Answers

I think it’s 28 sorry if I’m wrong

Find the vaule of x. then classify each triangle as acute, right, or obtuse

Answers

Answer:

1) = 90=acute angle   2)103=acute angle

Step-by-step explanation:

Answer:

1.) x = 90 (Right angle)

2.) x = 103 (Obtuse angle)

Step-by-step explanation:

All triangles' angles have a sum of 180°.<90° = Acute, 90° = Right, >90° = Obtuse

[tex]1.)\\x+48+42=180\\x+90=180\\x=90\\\\2.)\\x+45+32=180\\x+77=180\\x=103[/tex]

For how many shoe strings will Toby and Marie have the same amount of money in the account? Must show your work by making a table or solving algebraically by setting the equations equal to each other.

Answers

Answer:

we need more information to solve your problem.

Step-by-step explanation:

A farmer has a grain bin with 4,000 cubic feet of barley in it. He uses 800 cubic feet to feed his herd of cows. The next day, he buys 800 cubic feet of barley and puts it into the grain bin. How many cubic feet of barley are in the grain bin now?
A) 2,400
B) 4,000
C) 4,800
D) 5,600

Answers

Answer:b- 4,000

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It is B because

4000-800=3200

then

3200+800=4000

so he answer is B.4000  

If f(x) = 2x^2 - 3 and g(x) = x + 1, find g(f(x)).

Group of answer choices

2x^2 - 2

2(x+1)^2 - 3

2x^2 + 2

2x^3 + 2x^2 - 3x - 3

Answers

Answer:

g(

x

2

3

)

=

2

x

2

7

Step-by-step explanation:

brainliest

Find the distance between points (1, 3) and (9, 18) on the coordinate plane.

Answers

The correct distance is 17 via the distance formula :)
the formula is 17 via

Which is the correct simplified version of the expression 32x+8-34x? *
1 point
66x+8
74x
-2x+8
6x

Answers

-2+8

Bc 32 minus 34 is -2 then just add the 8

4x(3x - 1) - 2(3x + 1) - (x + 3)

Answers

Answer:

[tex]12x^{2} -11x-5[/tex]

Step-by-step explanation:

1) Distribute

[tex]4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)[/tex]

2) Distribute

[tex]12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)[/tex]

3) Distribute

[tex]12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3[/tex]

4) Subtract the numbers

[tex]12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x[/tex]

5) Combine like terms

[tex]12x^{2} -4x-6x-5-x\\12x^{2} -11x-5[/tex]

plssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

34 hours

Step-by-step explanation:

Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:

1 + 3×M + M = 45

1 + 4M = 45 Subtract 1 in both sides

4M = 44 Divide both sides by 4

M = 11 hours

So Maddie volunteered 11 hours, and Ryan volunteered

1 + 3×11 = 34 hours

Andrea drove 20 1/2 miles in 1/3 of an hour at constant speed what was that speed

Answers

Answer:

423

Step-by-step explanation:

123423

The constant speed for the given distance and time is 123/2 miles/hour.

Given that, Andrea drove [tex]20\frac{1}{2}[/tex] miles in 1/3 of an hour at constant speed.

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Here, [tex]20\frac{1}{2} = \frac{41}{2}[/tex]

Now, speed = Distance ÷ Time

= 41/2 ÷ 1/3

Change division to multiplication and reciprocal the fraction

That is, 41/2 × 3/1

= 123/2 miles/hour

Therefore, the constant speed for the given distance and time is 123/2 miles/hour.

To learn more about the speed, distance, and time visit:

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-54/87 simplified to a fraction

Answers

Answer:

-18/29

Step-by-step explanation:

54 ÷ 3 = 18 - numerator

84 ÷ 3 = 29 - denominator

-54/84 = -18/29

PLEASE PLEASE PLEASE HELP

Answers

10- 9

11- 5

12- 1

13- 10

14- 3

15- 7

16- 3

17- 3

18- 6

Alexis is selling team cards for her volleyball fundraiser. She expects to sell 4 cards for every 5 houses that she visits. If she wants to sell 20 cards total, how many houses should she expect to visit?

Answers

Answer:

5 houses

Step-by-step explanation:

She needs to visit 5 houses as 20 divided by 4 is 5

the function is expressed by the formula f(x)=x^3 - 1. Find the value of the function if the independent variable is equal to -1


Please answer quick

Answers

The value of the function if the independent variable is equal to -1 is -2

Given the function p(x) = x^3 - 1

The input variable "x" is the independent variable. If the independent variable is equal to -1, the value of the function will be expressed as:

P(-1) = (-1)^3 - 1

P(-2) = -1 -1

P(-2) = -2

Hence the value of the function if the independent variable is equal to -1 is -2

Learn more here: https://brainly.com/question/11854141

Which angles are vertical angles?
<8 and <6
<8 and <7
<8 and <5

Answers

Angle 8 and angle 5 are vertical angles

Put the following equation of a one into a slope -intercept form, simplifying all fractions.

8x+6y=-54

Answers

Answer:

y = -4/3x -9

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

8x+6y = -54

Subtract 8x from each side

8x+6y-8x = -8x-54

6y = -8x-54

Divide each side by 6

6y/6 = -8x/6 -54/6

y = -4/3x -9

Answer:

y = -4/3x - 9

Step-by-step explanation:

Putting this into 'y=mx+c' form:

i) Firstly, make it only y on the LHS:

6y = -8x-54

ii) Secondly, making the 'y' have a co-efficient of 1. This can be done by dividing both sides by 6:

6y/6 = -8x/6 - 54/6

y = -4/3x - 9

Hence,

y = -4/3x - 9

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

helppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

Eirxxjdjenendhdjcjcjfjfjirrorj

Answers

Answer:

hsoabajakahaknanaKambaKla

The fuel tank of a certain airplane can hold up to gallons of fuel. Let be the total weight of the airplane (in pounds). Let be the total amount of fuel in its tank (in gallons). Suppose that gives as a function of .

Answers

A reasonable function is W = 7F + 5000


Where W is the weight of the plane and F is the number of gallons of fuel.


The domain is the set of possible values for F. That is from 0 (empty tank) to 400 (full tank).


So the domain is F = [0,400], or what is equivalente 0 ≤ F ≤ 400.


The range is the set of values of W.


The minimum value of W is when F = 0 => W = 7(0) + 5000 = 5,000.


The maximum value of W is when F = 400 => W = 7(400) + 5000 = 7,800


So the range is W = [5,000 ; 7,800], pr 5000 ≤ W ≤ 7,800.
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