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2 years ago

What is the slope of the graph ? Leave your answer as a reduced fraction .

Mathematics

1 answer:

Vesna [10]2 years ago

7 0

Determine 2 coordinates
I used (-8,4) and (0,-2)

To determine the slope, use delta y divided by delta x.
m = (4 - (-2))/(-8 - 0)
m = 6/-8
m = -3/4

Therefore the slope is -3/4.

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Misty wishes to obtain 85 ounces of a 40% acid solution by combining a 72% acid solution with a 25% acid solution. How much of e

Y_Kistochka [10]

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

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

Total mass of acid required= 85 ounces

Let the mass of 72% acid be 'a'

Let the mass of 25% acid be 'b'

a + b = 85

b = 85-a

85(40/100) = a(72/100) + b(25/100)

85(2/5) = a(72/100) +(85- a) (25/100)

34 = (72a/100) + (2125/100) - (25a/100)

34 - (2125/100) = (72a + 25a) /100

(3400-2125)/100 = 97a /100

97a = 1275

a = 13.15 ounces

b = 85 - 13.14

b = 71.85 ounces

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

4 0

2 years ago

Pre algebra problem help solve it<br><br> b( a + b )+ a; use a=9, and b = 4

Tomtit [17]

The answer to the following question is 61

5 0

2 years ago

Read 2 more answers

What is the area of a circle whose radius is 6ft?

uranmaximum [27]

Answer:

hello :

Step-by-step explanation:

the area of a circle is : A = π r² r : the radius

A = π (6)² = 36π (ft)² ........( answer : C)

7 0

2 years ago

identify the graph of 9x^2-25y^2=225 for t(0 5) and write an equation of the translated or rotated graph in general form

tamaranim1 [39]

ANSWER

The required equation is:

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

EXPLANATION

The given equation is

$9 {x}^{2} - 25 {y}^{2} = 225$

Dividing through by 225 we obtain;

$\frac{ {x}^{2} }{25} - \frac{ {y}^{2} }{9} = 1$

This is a hyperbola that has it's centre at the origin.

If this hyperbola is translated so that its center is now at (0,5).

Then its equation becomes:

$\frac{ {(x - 0)}^{2} }{25} - \frac{ {(y - 5)}^{2} }{9} = 1$

We multiply through by 225 to get;

$9 {x}^{2} - 25( {y - 5})^{2} = 225$

We now expand to get;

$9 {x}^{2} - 25( {y}^{2} - 10y + 25 )= 225$

$9 {x}^{2} - 25{y}^{2} + 250y - 6 25 = 225$

The equation of the hyperbola in general form is

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

5 0

2 years ago

Read 2 more answers

The perimeter of a rectangle is 152m. If the length is one morethan twice of its width. Find the length and width of rectangle.

sergejj [24]

Step-by-step explanation:

Perimeter of a Rect.= 2(l+b)

b= x

l= 2x

Equation

152= 2(2x+x)

152= 2(3x)

152= 6x

x= 25.33

2x= 50.66

Therefore length is 50.66m and breadth is 25.33m

3 0

2 years ago