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slavikrds [6]
4 years ago
12

Help me with this problem please It would make it so much easer

Mathematics
2 answers:
san4es73 [151]4 years ago
7 0
Hannah and Francine have $120. Hannah and Peter have $230. Peter has 6 times as much as much money as Francine.

Let the amount with Hannah be represented by x.

As Hannah and Francine have $120, the amount with Francine is 120 - x

As Hannah and Peter have $230, the amount with Peter is 230 - x

Now Peter has 6 times as much as much money as Francine. This gives:

230 - x = 6*(120 - x)

230 - x = 720 - 6x

5x = 490

x = 490/5

x = 98

This gives the amount with Hannah as $98
Svetllana [295]4 years ago
3 0
The answer is that Francine has $38
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Another math problem I cant solve.​
Mamont248 [21]

Answer:  x = 7, y = -3

<u>Step-by-step explanation:</u>

3y = 26 - 5x     --> added 5x to both sides to get:  5x + 3y = 26

Elimination method (I am going to eliminate "x":

5x + 3y = 26   →    6(5x + 3y = 26)    →     30x + 18y = 156

6x + 7y = 21    →   -5(6x + 7y = 21)     →   <u> -30x - 35y</u> =<u> -105</u>

                                                                          -17y  =   51

                                                                        <u> ÷-17  </u>    <u>÷-17</u>

                                                                              y =   -3

Now, input y = -3 into one of the original equations to solve for "x":

    3y = 26 - 5x

 3(-3) = 26 - 5x

     -9 = 26 - 5x

-9 -26 = -5x

    -35 = -5x

      7  =  x

 

7 0
4 years ago
(01.02MC)Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between point
Romashka-Z-Leto [24]

Step-by-step explanation:

strange way of phrasing this.

if I understand correctly we have the points

(-4, 6) and (-1, 6).

the first number is the x coordinate, the second number the y coordinate.

but sure, you can write points also as vectors (the coordinate values on top of each other). they are then all pointers from the origin (0, 0) to the designated points.

anyway, once we understand the coordinates of the points, we see that both have the same y coordinate.

when 2 points have the same x or the same y coordinates it is easy to calculate the distance (at least in 2 dimensions) : it is simply the absolute value of the difference in the other coordinate.

in our case here : |-4 - -1| = |-4 + 1| = |-3| = 3

so, the distance between both points is 3.

if the points do not share a coordinate value, like for

(-4, 6) and (-1, 2), we need to use Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse (the baseline, the side opposite of the 90 degree angle) and would be the distance between the 2 points.

a and b are the other 2 sides (often called legs) on each side of the 90 degree angle. they would be the difference of the x coordinates and the difference of the y coordinates.

so, in my example,

c² = (-4 - -1)² + (6 - 2)² = (-3)² + 4² = 9 + 16 = 25

c = sqrt(25) = 5

the distance between these 2 points would therefore be 5.

please note that in this case we don't bother with the absolute value, because we are squaring the elements. and squaring always delivers a positive result.

7 0
3 years ago
What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio? –1 0 2 3
shtirl [24]
I think the correct answer on how to get from D to F in a 5:4 ratio is 3
4 0
3 years ago
Read 2 more answers
please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
Mumz [18]
<h3>Answer:  8.9</h3>

========================================================

Explanation:

Check out the diagram below.

  • a = 6.3 inches
  • b = 6.3 inches
  • c = unknown hypotenuse

Use the Pythagorean Theorem to find the length of c.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(6.3)^2 + (6.3)^2}\\\\c = \sqrt{39.69+39.69}\\\\c = \sqrt{79.38}\\\\c \approx 8.9095\\\\c \approx 8.9\\\\

The distance from one corner to the opposite corner is about 8.9 inches.

7 0
2 years ago
Determine the function which corresponds to the given graph. (3 points)
damaskus [11]

Answer:

The center of the circle is c=50 and radius of the circle is r=\sqrt{3}

Step-by-step explanation:

Given circle equation is

x^2-4x+y^2+14y=-50\hfill(1)

Equation (1) can be written as x^2-4x+y^2+14y+50=0\hfill(2)

we know that the equation of the circle is of the form

x^2+y^2+2gx+2fy+c=0\hfill(3)

with centre (-g,-f) and radius=\sqrt{g^2+f^2-c}

when, g,f and c are constants

Now comparing the (2) and (3) equations we get 2g=-4

                                                                          g=\frac{-4}{2}

                                                                          g=-2

                                                                          2fy=14

                                                                          f=\frac{14}{2}

                                                                          f=7

                                                                 and  c=50

Now to find the centre and radius of the given circle equation, substituting the values of g,f,c in the formulae of centre and radius

                  centre=(-g,-f)

                             =(-(-2),-7)

                  centre=(2,7)

                  Radius=\sqrt{g^2+f^2-c}

                              =\sqrt{(-2)^2+(7)^2-50}

                             =\sqrt{4+49-50}

                            =53-50

                   Radius=\srqt{3}

The center of the circle is c=50 and the radius of the circle equation r=\sqrt{3}

6 0
3 years ago
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