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Evgesh-ka [11]
3 years ago
11

Diane has $16 more than Jessica. They has $96 together. How much fies each girl have

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0

Answer:

Jessica has $40

Diane has $56

Step-by-step explanation:

Jessica = x

Diane = y

y = x + 16

x + y = 96

x + x + 16 = 96

2x + 16 = 96

     - 16   -16

2x = 80

2x/2 = 80/2

x = 40

40 + 16 = 56

Furkat [3]3 years ago
3 0

Answer:

Diane has 56$ and Jessica has $40

Step-by-step explanation:

$96-16 = $80

Divide $80/2

Each girl has $40, but Diane has $40 + 16 = $56

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Answer:

6(x-3)

Step-by-step explanation:

the common number for 6 and 18 is 6 so if you extract that from the expression then it turns to 6(x-3) which cannot be factored further

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the value of x would be 150
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The speed of a sparrow is x km/h in still air. When the
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x = 5m/s

Step-by-step explanation:

Distance flying out = 12 km  (headwind)

Distance flying back = 12 km (tailwind)

total distance = 12 + 12 =24 km

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speed coming back (with tailwind) = (x + 1) km/h

Time taken to go out = distance going out / speed going out

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Time taken to come back = distance coming back / speed coming back

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expanding this, we will get

5x² - 24x - 5 = 0

solving quadratic equation, we will get

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or

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Solving 2 step equations 3x + 2=5
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Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

  • Use double point formula and simplify it to get two eqaution.
  • Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.

~ Use double point formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1} (x - x1)

~ Keep all values.

(y  + 4) =  \frac{11 + 4}{2 + 1} (x + 1)

~ Simplify it.

y + 4 =  \frac{15}{3} (x + 1)

y + 4 = 5x + 5

5x - y + 1 = 0

Therefore this is the equation of line AB.

Now, Finding the equation of line CD.

Given;

The points of line CD are; (1,1) and (4,10).

~ Using formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1}(x - x1)

~ Keep all values.

(y - 1) =  \frac{10 - 1}{4 - 1} (x - 1)

~ Simplify it.

y - 1 = 3 x - 3

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Therefore, 3x - y- 2 = 0 is the eqaution of line CD.

Use condition of parallel lines.

m1= m2

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m1 =  \frac{ - coeff. \: of \: x}{coeff \: of \: y}

m1 =  \frac{ - 5}{ - 1}

Therefore, m1 = 5

Slope of second equation.

m2 =  \frac{ - coeff \: .of \: x}{coeff \: .of \: y}

m2 =   \frac{ - 3}{ - 1}

Therefore, m2 = 3.

Now, m1≠m2.

So, the lies are not parallel.

Check for perpendicular.

m1*m2= -1

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Therefore, they aren't perpendicular too.

So, they are neither.

<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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