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Kitty [74]
3 years ago
13

Give the equivalent value of the fraction in decimal form, and then determine if it is a terminating or repeating decimal.

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

The decimal equivalent of 34/5 is 6.8. It is a terminating decimal.

Step-by-step explanation:

A fraction will have a terminating decimal representation if its denominator is some product of powers of 2 and powers of 5. Here, the denominator is 5, so the decimal fraction will terminate.

34/5 = 68/10 = 6.8 . . . . . this is a terminating decimal value

_____

If the denominator has any other factor (other than 2 or 5), the decimal representation will repeat. The length of the repeat may be up to n-1 digits, where n is the factor of the denominator that remains after powers of 2 and 5 have been removed. For example, the decimal representation of 1/7 has a 6-digit repeat; 1/19 has an 18-digit repeating decimal representation.

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Juan's card was worth $800. Over the last 5 years, the collection decreased $300 in value, what integer represents the average d
sladkih [1.3K]
800-500 =300 5 times 100=500 it decreases by 100 each year
I hope that helps
7 0
3 years ago
What is the next step in solving 0 = x2 + 6x – 10 by completing the square, after you cut 6 in half?
Lynna [10]

Answer:

see below

Step-by-step explanation:

0 = x^2 + 6x – 10

Add 10 to each side

10 = x^2-6x

Take the coefficient of x

-6

Divide by 2

-6/2 =-3

Square it

(-3)^2 =9

Add 9 to each side

10+9 = x^2-6x+9

We use -3 for the square term

19 = (x-3)^2

Take the square root of each side

±sqrt(19) = x-3

Add 3 to each side

3±sqrt(19) = x

6 0
3 years ago
Read 2 more answers
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

For ΔWXY,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}

Now,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}

\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}

900\sin X=680\sin (157^\circ)

\sin X=\dfrac{680}{900}\sin (157^\circ)

\sin X=0.295219

X=\sin^{-1}(0.295219)

X=17.17067

X\approx 17

Therefore, the value of ∠X is 17 degrees.

5 0
3 years ago
Can someone pls help me?
Setler [38]
I believe the answer is AD=7.0
4 0
3 years ago
What is the value of h when the function is converted to vertex form?
zlopas [31]
H=7.

To convert to vertex form, we complete the square.  This means we move the constant, c, to the other side.

y=x²-14x+29
y-29 = x²-14x+29-29
y-29=x²-14x

To find the number that we then add to both sides, we look at the value of b (coefficient of x).  We take half of that number; -14/2 = -7.  Then we square it; (-7)²=49.  This means we add 49 to both sides:

y-29+49=x²-14x+49

Now we combine like terms on the left:
y+20=x²-14x+49

Write the right hand side as a square:
y+20 = (x-7)²

Now move the 20 on the left back to the right by subtracting it from both sides:
y+20-20=(x-7)²-20
y=(x-7)²-20

The value of h is 7.
8 0
3 years ago
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