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ratelena [41]
3 years ago
12

Match the fraction with its equivalent decimal form of the number.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0

Answer:

  see below

Step-by-step explanation:

The overbar on decimal digits means they repeat forever.

Any fraction with a denominator consisting of powers of 2 and/or 5 will terminate. These can be converted to decimal by multiplying the fraction by a number to make the denominator an appropriate power of ten.

  1 2/3 = 1.66666666666... repeating

  1 3/5 = 1 (3·2)/(5·2) = 1 6/10 = 1.6

  1 1/4 = 1 (1·25)/(4·25) = 1 25/100 = 1.25

  1 33/50 = 1 (33·2)/(50·2) = 1 66/100 = 1.66

Of course, your calculator can tell you the decimal equivalents, too.

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Solve the equations
Minchanka [31]

Answer:

#1 - All real numbers are solutions.

#2 - All real numbers are solutions.

Step-by-step explanation:

#1 -

Let's solve your equation step-by-step.

12(6t−4)=3t−2

Step 1: Simplify both sides of the equation.

12(6t−4)=3t−2

(12)(6t)+(12)(−4)=3t+−2(Distribute)

3t+−2=3t+−2

3t−2=3t−2

Step 2: Subtract 3t from both sides.

3t−2−3t=3t−2−3t

−2=−2

Step 3: Add 2 to both sides.

−2+2=−2+2

0=0

Same for #2

8 0
3 years ago
The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?
7nadin3 [17]

<span>Length = l</span>

<span>
Width = w</span>

<span>
Perimeter = p = 100

</span>

<span>Perimeter of rectangle = 2(l+w)</span>

<span>
100 = 2 (4w + w)</span>

<span>
100 = 2(5w)</span>

<span>
100 = 10w</span>

<span>
100/10 = w</span>

<span>
10 = w</span>

<span>
w =  10



Area of rectangle = length * width</span>

<span>
a = l*w</span>

<span> a = 4w*w</span>

<span>
a = 4w^2............(1)</span>

<span>
Put the value of w in (1)</span>

<span>
a = 4(10)^2</span>

<span>
a= 4(100)</span>

<span>
a = 400 yd^2</span>

4 0
3 years ago
In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.
Arturiano [62]

Answer:

A. \triangleDEF where \angle D = 75^{\circ} and \angle E = 20^{\circ}.

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If \triangleABC and \triangleDEF, then \angle A \equiv \angle D and \angle B \equiv \angle E. Hence, \angle D = 75^{\circ} and \angle E = 20^{\circ}.

In a nutshell, correct answer is A.

4 0
3 years ago
2x=3y+1/2 I have to write this in standard form and slope intercept form
Sav [38]

Answer:

Step-by-step explanation:

2x = 3y + 1/2

standard : Ax + By = C

2x = 3y + 1/2....multiply everything by 2 to get rid of the fractions

4x = 6y + 1 ....subtract 6y from both sides

4x - 6y = 1 <==

slope intercept : y = mx + b

2x = 3y + 1/2....subtract 1/2 from both sides

2x - 1/2 = 3y....divide everything by 3

2/3x - 1/6 = y...rearrange

y = 2/3x - 1/6 <===

8 0
3 years ago
the equation of a wave is given as y=0.5sin(3πx + 50πt). when x and y are in metres and t is in seconds. Find the amplitude, the
Crazy boy [7]

if they are optional

all are correct

<h3>step by step instructions:</h3>

Correct option is

D

All are correct

the equation of a given progressive wave is

y=5sin(100πt−0.4πx) ......(i)

The standard equation of a progressive wave is

y=asin(ωt−Kx) ...(ii)

Comparing (i) and (ii), we get

a=5m,ω=100π rad s

−1

,k=o.4πm

−1

도움이 되기를 바랍니다. :)

좋은 하루 되세요 :)

가장 똑똑한 것으로 표시 :)

4 0
3 years ago
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