PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger number. Find the numbers. PLEASE SHOW WORK Thanks!

Answer:

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Step-by-step explanation:

Step(i):-

Given points are ( 4,2 0 and ( 7,-3)

Slope of the line

         [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]

Step(ii):-

Equation of the straight line passing through the point ( 4,2) and

having slope m = [tex]\frac{-5}{4}[/tex]

y - y₁ = m( x- x₁ )

[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]

4( y -2) = -5( x-4)

4 y - 8 = - 5x +20

5x +4y -8 -20=0

5 x + 4y - 28=0

Final answer:-

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Answer:

t(x) = 948(0.955)^x

Answer:A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct system of equations which is the number of nickels and dimes that Lucas has in the jar is:

n + d = 30

0.05n + 0.10d = 2.10

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Lucas has a jar of coins that only contains nickels and dimes. He has 30 pennies in the jar, which is worth $2.10.

Let represents the number of nickels, n,

And the number of dimes, d, that Lucas has in the jar

The system of equations to find the number of nickels and dimes that Lucas has in the jar is:

n + d = 30

0.05n + 0.10d = 2.10

This system can be used to solve for the values of n and d. The first equation represents the total number of coins, and the second equation represents the total value of the coins in the jar.

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Answer:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

Answer:

If Grey ran 2.4 times as many miles as Emory, then 2.08 x 2.4 = 4.992

Step-by-step explanation:

4.992

Answer:

4.992

Step-by-step explanation:

Hey there !!!

to find the answer to this problem you multiply the number of miles that grey ran to the number of miles that Emory ran:

2.4 * 2.08 = 4.992

Hope it helped !!

have a wonderful day

Answer:

The concession stand sold  46  hot dogs and  32  hamburgers.

Step-by-step explanation:

Step-by-step explanation:

You just simplifyall answers or expand them and add them up

Answer:

No

Step-by-step explanation:

For 3 to be factor your finale number has to be divisible by 3, so with that information all you have to do is subtract 245-16 which is 229, and if you divide 229 by 3 it does not equal a whole number so 3 cannot be a factor.

I hope this helps, and have a great day! :D

Answer:

6

Step-by-step explanation:

Step 1: g(6) = 4 - 2 x 6

Step 2: g(6) = 4 - 12

Step 3: g(6) = -8

Step 4: g(9) = 4 - 2 x 9

Step 5: g(9) = 4 - 18

Step 6: g(9) = -14

(Final Step) Step 7: g(6) - g(9) = -8 - (-14) = 6

Answer:

6z-7>8z+2? =  z < -9/2

Step-by-step explanation:

6*z-7-(8*z+2)>0

  -2z - 9  =   -1 • (2z + 9

Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     2z+9  < 0

Divide both sides by  2  

     z+(9/2)  < 0

Subtract  9/2  from both sides

           z < -9/2

Answer: z < -9/2

Answer:

z is (less than) -9/2 is the correct answer use the symbol for less than.  

Step-by-step explanation:

I put it through Photomath which is 100% right all the time with these equations.

Answer:

24x+32

Step-by-step explanation:

=(3x+4)(8)

=(3x)(8)+(4)(8)

=24x+32

Answer:

2

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Locate x = - 3 on the x- axis, go vertically up to meet the graph at (- 3, 2 )

Then when x = - 3, y = 2

Answer:

6 vans and 6 buses

Step-by-step explanation:

v+b=12 this equation represents the amount of vehicles

6v + 55b = 366 this equation represents the amount of students per vehicle.

after solving you get v=6 and b=6

Answer:

Step-by-step explanation:

1.24 * 0.15 = 0.0186

As you can see, the numbers are the same, but the order of the decimal is different.

Since the order of the decimal is different, so will the answer.

1,860 and 0.0186 do have the same numbers in them, but since the decimal is located in different spots, then the answer will be different with different values.

You might not see the decimal in 1,860, but it is after the 0.....

1,860.0 ( same thing just added a decimal, but it is the same value)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

the greatest common factor of 24 and 36 is 12

Answer:

12

Step-by-step explanation:

Answer:

The answer is 10 units because if you add up all the units that would be on the side you will get 10

Step-by-step explanation:

Distribute the parentheses:

2(x + 1)

2 · x = 2x

2 · 1 = 2

2(x + 1) = 2x + 2

Answer:

43

Step-by-step explanation:

Answer:

b 43 on edge 2021.........

Answer:

40 sweets

Step-by-step explanation:

Let june have x sweets

may has 3x/4 sweets

April has x/2 sweets

total sweets is 90

Adding all sweets =

x/2+3x/4+x = 90

9x = 360

x = 40

Therefore June has 40 Sweets

Answer:

-6

Step-by-step explanation:

count

Answer:

-6

Step-by-step explanation:

each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.

Answer:

The perimeter is 28.13 cm

Step-by-step explanation:

We connect a line from A to C

we can use the cosine rule to find the length AC

let us call it x

AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B

we have this as;

x^2 = 6^2 + 8^2 - 2(6)(8) cos 95

x^2 = 36 + 64 + 8.37

x^2 = 108.37

x = √108.37

x = 10.4 cm

AC = 10.4 cm

now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle

We can use Pythagoras’ theorem to get the value of CD

We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides

let DC be y

10.4^2 = 5^2 + y^2

y^2 = 108.37 - 25

y^2 = 83.37

y = √83.37

y = 9.13 cm

The perimeter of the shape is the sum of all its sides

so we have;

AB + BC + CD + AD

= 6 + 8 + 9.13 + 5

= 28.13 cm

Dividing 120 in the ratio of 1 : 4 will give 24 and 96.

The first number that'll be gotten based on the information given will be:

= 1/5 × 120

= 24

The second number that will be gotten based on the information given will be:

= 4/5 × 120

= 96

Therefore, the numbers will be 24 and 96.

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Answer:

f ( 10 x − 6 ) = 1000 x^ 3 − 1800 x ^2+ 1170 x − 306

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

y=2 every time you add 3 to x your adding 2 to the y

-3 + 3 = 0 and 3 + 2 = 5

0 + 3 = 3 and 5 + 2 = 7

Answer: y=+{%

Step-by-step explanation:

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Answer:

A) t = -3

Step-by-step explanation:

-18 = 6t

divide both sides of the equation by 6

-18/6 = 6t/6

-18/6 = t

-3 = t