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ololo11 [35]
3 years ago
8

Abigail spent $84.95 for 5 books, before tax. How much did each book cost, in dollars, before tax?

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Each book cost $16.99, I divide 84.95 with 5

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If 20,x,y,z,25 are in AP .find the value of X,y,z.​
Kamila [148]

Answers:

  • x = 21.25
  • y = 22.5
  • z = 23.75

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

Work Shown:

AP = arithmetic progression, which is the same as arithmetic sequence

d = common difference

  • x = 20+d
  • y = 20+2d
  • z = 20+3d

Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.

So that must mean 25 is the same as 20+4d

20+4d = 25

4d = 25-20

4d = 5

d = 5/4

d = 1.25

and therefore,

  • x = 20+d = 20+1.25 = 21.25
  • y = 20+2d = 20+2*1.25 = 22.5
  • z = 20+3d = 20+3*1.25 = 23.75

We could convert these to fraction form, but I find decimal form is easier in this case.

5 0
3 years ago
How do you make an exponential equation with these two points: (1,2) and (0.5,4)
Over [174]

The required  equation is y=8×(( \frac{1}{2} )^{x}

Step-by-step explanation:

Given,

The two points are (1,2) and (0.5,4)

To find the exponential equation of these given points.

Formula

The general form of exponential equation is y = ab^{x} where, A and B are any real number.

\frac{x^{m} }{x^{n} } = x^{m-n}

Now, the points satisfy the equation.

So,

2 = ab^{1} ------- (1) and

4 =  ab^{0.5} ------ (2)

Now (1) ÷ (2) we get,

\frac{ab }{ab^{0.5} } = \frac{2}{4}

or, b^{0.5} = \frac{1}{2}

or, b = \frac{1}{4} [ by squaring we get]

Now, from (1) we get,

2 = a×\frac{1}{4}

or, a = 8

Hence,

The equation is y=8×(( \frac{1}{2} )^{x}

4 0
3 years ago
Find an equation of the circle:
Hunter-Best [27]

Answer:

(x - 3)² + (y + 3)² = 9

Step-by-step explanation:

x–y = 6           y = x - 6

y intercept x = 0     y = -6       (0 , -6)

x intercept y = 0     x = 6         (6 , 0)

if circle center is on line x - y = 6 and tangent to both x and Y axis

the distance from center to X axis and Y axis should be equal, it's the mid-point of segment of x intercept and y intercept

center (h , k)     h = (0 + 6) / 2 = 3       k = (0 + (-6)) / 2 = -3

center (3 , -3)      radius = 3

Equation of circle: (x - h)² + (y - k)² = r²     (x - 3)² + (y + 3)² = 9

5 0
3 years ago
Find the ratio a:b, if it is given that a+b=3b
Darya [45]

Answer:

Step-by-step explanation:

a + b = 3b

a = 3b - b

a = 2b

a/b = 2/1

a:b = 2:1

8 0
3 years ago
Look at the picture<br> I have to write 20 characters so don't mind me
jarptica [38.1K]
The answer is 35,098
8 0
3 years ago
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