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[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-7,2)\qquad B(1,-6)\qquad \qquad \stackrel{\textit{ratio from A to B}}{5:3} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{5}{3}\implies \cfrac{A}{B} = \cfrac{5}{3}\implies 3A=5B\implies 3(-7,2)=5(1,-6)[/tex]

[tex](\stackrel{x}{-21}~~,~~ \stackrel{y}{6})=(\stackrel{x}{5}~~,~~ \stackrel{y}{-30})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-21+5}}{5+3}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{6-30}}{5+3} \right)} \\\\\\ P=\left( \cfrac{-16}{8}~~,~~\cfrac{-24}{8} \right)\implies P=(-2~~,~~-3)[/tex]

Answer:

0.78

Step-by-step explanation:

To know which one is the greatest, convert all of them into decimals.

3/4 is the same as 0.75

50% is the same as 0.50

0.78 doesn't needs to be changed

We now have 0.75, 0.50 and 0.78.

Out of all these numbers, 0.78 is the greatest number.

Hope this helps.

Answer:

side measure = 9 in

Step-by-step explanation:

volume of a cube:  [tex]V=s^3[/tex]

where V is the volume and s is one side of the cube

Given volume = 729 in³

[tex]\implies s^3=729[/tex]

[tex]\implies s=\sqrt[3]{729}[/tex]

[tex]\implies s=9 \ \textsf{in}[/tex]

Answer:

9

Step-by-step explanation:

Answer:

270°

Step-by-step explanation:

360/4 = 90

90*3 = 270

Answer:

decimal; 0.748 fraction is: 374/5 or 74 4/5 .

Answer:

B

Step-by-step explanation:

Answer:

4.5 L

Step-by-step explanation:

4500/1000 =4.5

Have an amazing day!

Please mark brainliest!

Answer:

A. The solution to a system of equations is when the values of x are the same for both equations and if the y-values also match. With this being said, if x and y are the same in both equations, then that is the solution of the system of equations. We can use the table to find when x and y are equal in both equations to find the solution

B. ( 2.5 , 6 )

If you have any questions, let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

Answer:

the mean = 9, and the mean deviation = 3.75

Hope this helps! :)

No, because a scalene triangle has to have all sides that are different lengths. 2 sides being 13 inches would mean that the triangle has 2 sides that are equal, making it an isosceles triangle.

Answer:

  no

Step-by-step explanation:

A triangle is scalene when its sides have three different lengths. Your triangle has two sides with the same measure, so it is isosceles, not scalene.

Answer:

one has (_) and another has (+)

Answer:

x=35

Step-by-step explanation:

180-147=33 (angles in a straight line)

33+3x+42=180 (angles in a triangle)

3x+42=147

147-42=105

105/3=35

Answer:

The choice B. w = 32

Step-by-step explanation:

[tex]3w = 96 \\ \\ w = \frac{96}{3} \\ \\ w = \frac{96 \div 3}{3 \div 3} \\ \\ w = 32[/tex]

Answer:

[tex]\huge\boxed{\sf{32}}[/tex]

Step-by-step explanation:

Hello.

In order to solve this equation, we need to divide both sides by 3:

3w=96

w=32

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

circumference=2πr

2×3.14×5

10×3.14

=31.4cm

Answer: Area=78.54

circumference=31.42

Step-by-step explanation:

The place value of the digit 2 in 782,310 is the one thousands place.

Hope this helps.

Answer:

The number 2 is in the units of thousands and has a value of 2000 as a number.

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Answer:

A

Step-by-step explanation:

First 4 sets of (x, y) show that when x increases 2, y increases 3. It seems the relationship is linear. But last 2 set show that x increases 1, y increases 3. So the relation is NOT linear

We need x and y

JKLM is a rectangle not triangle

Opposite sides of rectangle are equal

Now

[tex]\\ \rm\Rrightarrow 4y+5=2y+35[/tex]

[tex]\\ \rm\Rrightarrow -2y=-30[/tex]

[tex]\\ \rm\Rrightarrow y=-30/-2[/tex]

[tex]\\ \rm\Rrightarrow y=15[/tex]

And

[tex]\\ \rm\Rrightarrow x+31=5x-9[/tex]

[tex]\\ \rm\Rrightarrow -4x=-40[/tex]

[tex]\\ \rm\Rrightarrow x=10[/tex]

Answer:

x ≤ 18

Step-by-step explanation:

Solve:

Simply keep the sign given and move terms around to have x on one side

-Chetan K

Answer: 2/4 simplified to 1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

A(-3, 4)

B(1, 2)

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

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

slope = 2/(-4)

slope = -1/2

Answer:

D)  9:20 am

Step-by-step explanation:

Train A's route = 20 mins

Train B's route = 80 mins

80 ÷ 20 = 4

Therefore, Train B's route is 4 times the length of Train A's route.

Therefore, the time Train A and B will leave the station at the same time will be the first time Train B leaves after 8am.

1 hour = 60 minutes

8am + 80 minutes = 8am + 1 hr + 20 minutes = 9:20 am

Answer:

it's answered...............

Answer:

1/35 sq. ft.

Step-by-step explanation:

Area = 3/35 x 1/3

= 1/35 sq. ft.

Hope it helps.

;)

Answer:

Step-by-step explanation:

lxw

=0.02857142857 foot

Answer:

2

Step-by-step explanation:

Degree of the polynomial is the highest power of the term.

As degree of the polynomial is 3, m value should be 2

Answer: its b.) 2

Step-by-step explanation:

I got it right om test

Answer:

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Step-by-step explanation:

Answer:

290 ml

Step-by-step explanation:

convert 0.4 litres to ml then divide by 5 then subtract 22.

multiply the answer with 5

Answer

720

Step-by-step explanation:

10 x 18 = 180

2 x 2 = 4

180 x 4 = 720

Answer:

  2(3x -1)(2x +3) = 0

Step-by-step explanation:

A graphing calculator can often provide useful help in discovering the real factors of polynomials.

We presume you want to factor the standard form equation ...

  12x^2 +14x -6 = 0 . . . . . subtract 18 from both sides

  2(6x^2 +7x -3) = 0 . . . . factor out the common factor

  2(6x^2 +9x -2x -3) = 0 . . . . split the middle term to aid factoring

  2(3x(2x +3) -1(2x +3)) = 0 . . . . factor pairs of terms

  2(3x -1)(2x +3) = 0 . . . . . factored standard form equation

_____

Additional comments

The calculator graph shows the zeros are rational and have values -3/2 and 1/3. A zero of x=p means (x -p) is a factor. Translated to factors without fractions, these would be ...

  (x +3/2) ⇒ (2x +3)   and   (x -1/3) ⇒ (3x -1)

The only remaining job is to find the additional factor that makes the leading coefficient be 12 instead of (2)(3) = 6.

__

When factoring 6x^2 +7x -3, we're looking for two numbers that have a sum of +7 and a product of (6)(-3) = -18. The factors we need are 9 and -2, which are the values we use when we split the middle term: 7x ⇒ 9x -2x.

We choose to do the factoring this way because it is straightforward and relatively easy to explain. There are other methods used when the leading coefficient is not 1, but they can be more difficult to explain.

Answer  B. $168.75

Step-by-step explanation:

I took the test and I got it correct and I will tell you guys the other answers if you have these same questions.

1) Scott invests $1000 at a bank that offers 6% compounded annually. Write an equation to model the growth of the investment.

Answer: D) A = 1000(1.06)t

2) Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4.3%.

Answer: B) $2571.67

3) Owen has a loan for $3700 at a rate of 5% annually. If the interest is not compounded, what is the total amount of repayment if the loan is for 7 years?

Answer: D) $4995.00

4) Davis puts $5,000 each year in an account that earns 5% annual interest, compounded annually. His brother Mike puts $5,000 each year in a safe in his bedroom. After the first 10 years of doing this, how much more money does Davis have than Mike? Round your answer to the nearest dollar.

Answer: A) $20,524

5) Ally is buying a speed boat for $10,000 with a down payment of $2,500. The bank approved a simple interest flat rate loan for 5 years at 7% APR. How much are the monthly loan payments? (round to the nearest cent)

Answer: B) $168.75

The monthly loan payments should be [tex]\$168.75[/tex].

Option B is correct.

Given that, Ally is buying a speed boat for $10,000 with a down payment of $2,500.

Remaining amount Ally have to pay,

                                      [tex]=10000-2500=7500[/tex]

Rate of interest [tex]r=7\%[/tex] , time [tex]t=5[/tex] years and Principal [tex]P=7500[/tex]

          Simple interest,  [tex]S.I=\frac{P*r*t}{100}[/tex]

                          [tex]S.I=\frac{7500*7*5}{100} \\\\S.I=2625[/tex]

In 5 years, Ally have to pay,

                                 [tex]=7500+2625=10125[/tex]

In one month, Ally have to pay [tex]=\frac{10125}{60}=\$168.75[/tex]

Learn more about the simple interest here:

https://brainly.com/question/2294792