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Yuliya22 [10]
3 years ago
15

-0.38 (8 repeating) written as a fraction is _____.

Mathematics
2 answers:
natulia [17]3 years ago
7 0

Answer:

\frac{7}{18}

Step-by-step explanation:

We first let 0.38 (8 being repeated) be T.

Since z is recurring in 1 decimal places, we multiply it by 10. 10z = 3.88

Next, we subtract them. 10 r T 3.88 0.38 9x 3.5

Lastly, we divide both sides by 9 to get IC as a fraction. 3.5 T 9 35 90 7 18

Nesterboy [21]3 years ago
7 0

Answer:⁷/18

Step-by-step explanation

Make the repeating number as x

Since x is repeated in one decimal place multiple it by 10

10x=3.888

Next we subtract them

10x-1x=9x

0.38-3.88=3.5

9x=3.5

We divide both sides by 9

9x÷9=3.5÷9

X=⁷/18

Answer =⁷/18

Hope I was of help

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Steve and Conner together have $60. Steve has $9 more than twice Conner’s amount. How much money does each have?
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Answer:

Step-by-step explanation:

let a=Ann's amt., b=Betty's amt.

a=2b+9

b+2b+9=60

3b+9-9=60-9

3b=51

b=$17

a=34+9=$43

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In the table, Pattern A uses the rule "add 3" and Pattern B uses the rule "add 9."
Paladinen [302]
Statement 1 is true.
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20 points!! Please Help!
Galina-37 [17]

Answer:

• x = 9

• y = 6√2

Step-by-step explanation:

The right triangles are all similar, so the ratios of hypotenuse to short side are the same:

27/x = x/3

x^2 = 81 . . . . . multiply by 3x

x = 9 . . . . . . . . take the square root

Then y can be found from the Pythagorean theorem:

x^2 = y^2 + 3^2

81 - 9 = y^2 = 72 . . . . . subtract 9

y = √72 = 6√2 . . . . . . .take the square root

The values of x and y are 9 and 6√2, respectively.

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3 years ago
Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa
choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

y=x^{2}-2x-3

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

(x - h)^{2}=4p(y - k)

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

y=x^{2}-2x-3

y+3=x^{2}-2x

y+3+1=x^{2}-2x+1

y+4=x^{2}-2x+1

y+4=(x-1)^{2}

so

(x-1)^{2}=(y+4) ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

4 0
3 years ago
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