A sum of money is divided into the ratio 3:4. The larger portion is then divided into 3 parts in
the ratio
If the smallest part is $192, find the original sum of money.

hope it helps you

this is my answer

Answer:

56 underwater breathing potions.

Step-by-step explanation:

Written algebraicly, f=m+10 and b=3m+2, with f being flying potions, b being breathing underwater, and m being mind reading potions. We know that f+b+m=102, so replace f and b with the equations. You get m+10 + 3m+2 + m +102. Combine like terms to get 5m+12+102. Subtract 12 from both sides to get 5m=90, and divide both sides by 5 to get m=18. Now take b=3m+2 and replace m with 18. Now you have b=3(18)+2. 3 times 18 is 54, plus 2 is 56. :)

The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (7, -4).

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}[/tex]

and

[tex]y = \dfrac{q+n}{2}[/tex]

Given that the midpoint of AB is M whose coordinates can be written as,

The x-coordinate of point B,

[tex]x_m = \dfrac{(x_A + x_B)}{2}[/tex]

[tex]5 = \dfrac{(3 + x_B)}{2}[/tex]

10 = 3 + x

x = 10 - 3

x = 7

The y-coordinate of point B,

[tex]y_m = \dfrac{(y_A + y_B)}{2}[/tex]

[tex]1 = \dfrac{(6 + y_B)}{2}[/tex]

2 = 6 + y

y = 2 - 6

y = -4

Hence, the coordinates of point B are (7, -4).

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Answer:

A. 2/3 book/hour

Step-by-step explanation:

rewrite the fractions as a decimal if it can make it easier for you (0.5 book/0.75 hours) then divide which is 2/3 book/hour

Answer:

.857

Step-by-step explanation:

6/7 = about .8571

rounded to thousandth is .857

Answer:

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that   90+0.4 X= 30+0.7X

                            90-30      = 0.7X-0.4X

                            60    = 0.3X

                             60/0.3 = X

                             X= 200

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B)

Step-by-step explanation:

x = # of miles

$59.31 = $31 + $0.19x

Subtract $31 from both sides

$28.31 = $0.19x

Divide both sides by $0.19

149 = x

Juan drove 149 miles

Answer:

128

Step-by-step explanation:

Answer:

Step-by-step explanation:

2|p|= 4

2p = 4

p = 2

-2p = 4

p = -2

(-2, 2)

Answer: the answer would be 75.6 i think, sorry if that's wrong

Step-by-step explanation:

38-9.4=28.6

28.6+47=75.6

Answer:

x^3+x^2-2x +1- 6/x-6

Step-by-step explanation:

Solve using polynomial division.

Hope this helps.

Answer: This problem has No solution, because you can only combine like terms which there isn't any

  hope this helps

plz mark brainliest

Answer:

525 students

Step-by-step explanation:

84/4 is 21. The ratio is 1 teacher to every 21 students. There are 25 teachers in the entire school. If you multiply that by 21, there are 525 students in the entire school.

Answer:

answer is D

shown below

The equation of the line that is perpendicular to the given line and passes through the point (3,0) is 3y - 5x = -15.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the points as (-3, 2) and (2, -1).

So, the slope of line

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

slope = -3/5

So, the slope for the perpendicular line is

slope= 5/3

Now, using the slope intercept form

y= mx+ b

y= 5/3x + b

and, the line passes through (3, 0)

0= 5/3(3)+ b

b= -5

Then, the equation of line is

y= 5/3x -5

3y - 5x = -15

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Answer:

I am really sorry but I need points urgently

Step-by-step explanation:

Really sorry sorry

Answer:

See below.

Step-by-step explanation:

f(x) = -|x + 9|

compared to

f(x) = |x|

has a graph that opens downward in an upside down V shape.

It has been moved 9 units left compared to the graph of f(x) = |x|.

It reflects over the x-axis.

Answer:

[tex]\frac{4}{9} = 0.4[/tex]

[tex]\frac{7}{30} = 0.23[/tex]

[tex]\frac{5}{3} =1.6[/tex]

[tex]\frac{32}{9} = 3.5[/tex]

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The equation which can be represented using the picture displayed on the number line is Three-fourths divided by one-eighth = 6

The number of steps or marked points can be obtained using the relation :

Length of line ÷ Distance between each marked points

3/4 ÷ 1/8 = 6

Therefore, the expression which represents the scenario on the number line is 3/4 ÷ 1/8 = 6

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I'm sorry if this is incorrect, but I think the answer is [tex]-2, \sqrt{5}, 4, 3^2[/tex]

Explanation: A negative number will always be the least. 3 squared is actually 3*3 and that would be 9. The square root of 5 is 2.2360679775 which is less than 4 so that would go in the second place. I hope this makes sense! :)

Answer:

$5820

Step-by-step explanation:

1500*6%=90 per month

90*(48months=4yrs)=4320

1500+4320=5820

Answer:

natural number starts from 1

1 2 3 4 5  6 7 8 9 10 ...................

Step-by-step explanation:

Answer:

Natural numbers are also called whole, positive numbers. 1, 2, 3,4 and so on represent this. Hopefully this helps!

Answer:

Step-by-step explanation:

(13 - 3)/(1 + 4) = 10/5= 2

y - 13 = 2(x - 1)

y - 13 = 2x - 2

y = 2x + 11

Answer:

-13/4,-3 1/8, -14/5, -2.3

Step-by-step explanation:

-13/4=-3.25

-14/5=-2.8

Answer:

  C)  1/6

Step-by-step explanation:

2/9 of 3/4 is ...

  [tex]\dfrac{2}{9}\times\dfrac{3}{4}=\dfrac{2\cdot 3}{9\cdot 4}=\dfrac{6}{36}=\boxed{\dfrac{1}{6}}\qquad\text{matches C}[/tex]

Answer:

hlp

Step-by-step explanation: