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3 years ago

explain how the position of the decimal point changes in a quotient as you divide by increasing powers of ten

1 answer:

3 0

So we need to see how does the decimal point change it's place in the quotient when we divide any number by increasing powers of 10. Lets start with number 1. The decimal point is: 1.0 and when we divide by 10^1=10 we get 1/10=0.1. The decimal point has moved one place to the left. Now lets divide 1 by 10^2 and we get 1/100=0.01. Again, the decimal point has moved one more place to the left. Now: 1/10^3 = 1/1000 = 0.001. Next would be 0.0001, next one would be 0.00001 and so on.

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What value of x will make the question below truw?

MatroZZZ [7]

1/2 (6x - 10) + 10 = 5x - 13

(6x/2) - (10/2) + 10 = 5x - 13

3x - 5 + 10 = 5x - 13

3x - 5x = -13 + 5 - 10

-2x = -18

x = -18 / -2

x = 9

D.) x = 9

7 0

3 years ago

What is 24/400 into decimals

kari74 [83]

Answer:

0.06

Step-by-step explanation:

7 0

2 years ago

Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

P = principal

r = rate (as decimal)

t = time.

4% account:

$P_1=x\\ \\r_1=0.04\\ \\t_1=1,$

then

$I_1=x\cdot 0.04\cdot 1=0.04x$

5% account:

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

$I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)$

You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

Amount in 4% account: $550

Amount in 5% account: $950

8 0

3 years ago

HELP The minute hand of a clock is 5 inches long. to the the nearest tenth of an inch, how far does the tip of the minute hand t

faltersainse [42]

Answer:

18.326 inches

Step-by-step explanation:

The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing $\frac{210}{1} *\frac{\pi }{180}$ , and we ge that θ is $\frac{7\pi }{6}$ so ( $\frac{7\pi }{6}$ )(5)= 18.326 inches

3 0

2 years ago

1. (x + 2) < −3(x + 4) 2. −3x + 3 < 6

Leno4ka [110]

number 1:

$x>\frac{-7}{2}$

number 2:

$x>-1$

7 0

3 years ago